The length of the batter's box on a softball field is 1 ft more than twice the width. The area of the batter's box is 78 ft2. Find the length and width of the rectangular batter's box.

Answers

Answer 1

The length and width of the rectangular box are 13 ft and 6 ft respectively.

How to find the length and width of a rectangle?

The length of the batter's box on a softball field is 1 ft more than twice the width.

The area of the batter's box is 78 ft².

The length and width of the rectangular batter's box can be found as follows:

Therefore,

area of a rectangle = lw

where

l = lengthw = width

Therefore,

area of the rectangular box = 78 ft²

l = 1 + 2w

Hence,

78 = (1 + 2w)w

78 = w + 2w²

2w² + w - 78 = 0

Hence,

w = 6  and w =  -13  /2

we can only use positive values.

Therefore,

width = 6 ft

length  = 2(6) + 1 = 13 ft

learn more on rectangle here: https://brainly.com/question/14537807

#SPJ1


Related Questions

What are the solutions to x2 + 8x + 7 = 0?

x = –8 and x = –7
x = –7 and x = –1
x = 1 and x = 7
x = 7 and x = 8

Answers

The solutions for the quadratic equation x² + 8x + 7 = 0 is option B x = -7 and x = -1

Given,

The quadratic equation : x² + 8x + 7 = 0

We have to find the solutions for this quadratic equation using the quadratic formula.

Quadratic formula: [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Here,

a = 1, b = 8 and c = 7

Now,

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

= [tex]\frac{-8(+-)\sqrt{8^{2} -4(1)(7)} }{2(1)}[/tex]

= [tex]\frac{-8(+-)\sqrt{64-28} }{2}[/tex]

= (-8±√36)/2

= (-8±6)/2

Now,

Solve for

(-8 + 6) / 2 = -2/2 = -1

Solve for

(-8 - 6) / 2 = -14/2 = -7

That is,

The solutions for the quadratic equation x² + 8x + 7 = 0 is x = -1 and x = -7

Learn more about quadratic equations here:

https://brainly.com/question/1451669

#SPJ1

36 muffins and uses 4 cups of almonds. What is the unit rate of muffins per cup of almonds that he is using?

Answers

The unit rate of muffins per cup of almonds that the baker is for every 9 muffins, he uses 1 cup of almonds.

What is the unit rate?

The unit rate is the ratio of a variable against another variable.

The unit rate explains the quantity relationship between the number of muffins produced and the cups of almonds used by the baker.

For this situation, a cup of almonds can make 9 muffins.

The total number of muffins made = 36

The total number of cups of almonds used = 4

The ratio of muffins to cups of almonds = 36:4 or 9:1

The unit rate of muffins per cup = 9 (36/4)

Thus, the baker is producing 9 muffins per cup of almonds used.

Learn more about ratios at https://brainly.com/question/2914376

#SPJ1

vertical
none
obtuse
complementary
adjacent

Answers

answer:

vertical

explanation:

vertical angles are angles opposite each other.

Three friends went together to pick apples. They picked a total of 5 1/2 baskets of apples. If each person took home an equal amount of the baskets how many baskets did each person get?

Answers

The most appropriate choice for fraction will be given by -

Each person get [tex]1\frac{5}{6}[/tex] baskets of apples.

What is fraction?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

Here,

Number of person = 3

Total baskets of apple picked = [tex]5\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex] baskets

Number of baskets each person got =

                                                                 [tex]\frac{11}{2} \div 3\\\frac{11}{2} \times \frac{1}{3}\\\frac{11}{6}\\1\frac{5}{6}[/tex]

Each person got [tex]1\frac{5}{6}[/tex] baskets of apples

To learn more about fractions, refer to the link-

brainly.com/question/17220365

#SPJ9

Can you please answer

Answers

From the given picture we can see

A right triangle DEC, where

The side opposite to angle C, ED has a length of 12 feet

The hypotenuse DC has length x feet

To find the value of x, we will use the sine ratio

[tex]\begin{gathered} \sin 70=\frac{opposite}{\text{hypotenuse}} \\ \sin 70=\frac{DE}{DC} \end{gathered}[/tex]

Since the opposite side DE = 12

Since the hypotenuse DC = x

a container holds 2300 ounces fruit punch. A factory places the fruit punch into 32-ounce bottles. How man full Bottles of fruit punch can the factory produce?

Answers

A container holds 2300 ounces fruit punch. A factory places the fruit punch into 32-ounce bottles, factory can produce 71  full bottles.

What is an ounce?

The uncia, an ancient Roman unit of measurement, is the source of the ounce (/ans/), any of numerous possible measures of mass, weight, or volume.

Although it is frequently used outside of the Anglosphere, it is predominantly employed in the United States to measure packaged foods and food portions, postal items, the areal density of fabric and paper, boxing gloves, and other items.

Although the avoirdupois ounce is the standard unit of mass for most applications, the actual weight of precious metals like gold, silver, platinum, palladium, rhodium, etc. is measured in "troy ounces," which are equal to 31.1034768 g.

'Ounce' is also used in the following other contexts: A unit of measure for force is the ounce-force. A unit of volume is the fluid ounce.A multitude of distinct ounces measuring mass or volume have been employed historically by various trades at various times and in various countries.

Solving the question,

[tex]\frac{2300}{32} = 71.875[/tex]

Thus, we can say that a factory can produce 71 full bottles.

To know more about ounce visit: https://brainly.com/question/26950819

#SPJ13

A) In a hostel , 30% of the beds are vacant. There are 210 guest beds at the hostel currently. How many beds are there at the hostel?

B) The hostel plans to increase its bed capacity by 15% over the next year. What is the planned bed capacity at the hostel?

C) The jeweler is trying to determine which box has the greatest weight. A box of gold weighs 0.55 kilograms and a box of silver weighs 14/25 kilograms. Which box is heavier?

Answers

A. The number of beds that are at the hostel will be 700 beds.

B. The planned capacity will be 105 beds.

C. The box of silver is heavier.

How to illustrate the information?

A. In a hostel , 30% of the beds are vacant and T

there are 210 guest beds at the hostel currently. The number of beds will be:

= 30% of x = 210

0.3x = 210

x = 210/0.3

x = 700

The number of beds is 700.

B. The planned capacity will be:

= 15% × 700

= 0.15 × 700

= 105 beds.

C. When the jeweler is trying to determine which box has the greatest weight and a box of gold weighs 0.55 kilograms and a box of silver weighs 14/25 kilograms. It should be noted that 14/25 = 0.56. Therefore, the silver is heavier.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

f(x) = (x + 3)² - 2x² ; x = -12

Answers

f(-12)=-207
I attached a photo to answer you question. Hope this helps!

◆ Rewrite the fractions as sixths. 1/2 + 1/3= _/6 + _/6​

Answers

Answer: 1/2 + 1/3 = 3/6 + 2/6

Step-by-step explanation: you multiply 1/2 by 3/3 (1 x 3 and 2 x 3), which gives you 3/6, and then multiply 1/3 by 2/2 (1 x 2 and 3 x 2), which gives you 2/6.

hope this helps! :)

Tiana deposited $60 in an account earning 10% interest compounded annually.
To the nearest cent, how much will she have in 3 years

Answers

The answer would be
79.86 $
60 x 10% = 6
6 + 60 = 66
66 x 10% = 6.6
6.6 + 66 = 72.6
72.6 x 10% = 7.26
7.26 + 72.6 = 79.86

Enter values to complete the table below.

Answers

The slope of the equation, represented by the value of y/x for the given values of x and y, is 3/1, 3/1, 3.

What does slope in mathematics mean?

The slope of a line can be used to gauge how steep it is. Slope is theoretically determined as "rise over run" (change in y divided by change in x).

The slope is the ratio of the rise in height between two points to the fall in elevation between those same two points.

The x and y values are provided.

The equation's slope is shown by the ratio y/x.

if y = -3 and x = -1,

y/x = 3/1

if y = 3 and x = 1

y/x = 3/1

if y = 6 and x = 2

y/x = 6/2 = 3

To learn more about slope of the equation from given link

https://brainly.com/question/24907633

#SPJ10

A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length L (in miles) that is left to lay after d days is given by the following L (d)=189-7d

Answers

The number of days it will take the crew to lay all the track is; 27 days

The number of miles of track the crew has left to lay after 18 days is; 65 miles

How to solve Algebraic Equations?

We are given the equation that represents the length L (in miles) that is left to lay after d days as;

L(d) = 189 - 7d

where;

L is length in miles

d is number of days

Thus, the number of days it will take to lay all the tracks is;

Number of days = 189/7

Number of days = 27 days

The length L (in miles) that is left to lay after 18 days is;

L= 189 - 7(18)

L= 189 - 126

L= 65 miles

Read more about Algebraic Equations at; https://brainly.com/question/16269951

#SPJ1

Complete question is;

A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function. L(d) = 189 - 7d​

(How many days will it take the crew to lay all the track?)

(How many miles of track does the crew have left to lay after 18 days?)

state where the function is continuous, discontuous and the type of discontinuity for each

Answers

[tex]f(x)=\begin{cases}\frac{x}{x-2};x<2 \\ 6;2\leq x\leq6 \\ \frac{x-2}{x^2-6x+8};x>6\end{cases}[/tex]

For x = 2

[tex]\lim _{x->2^-}(\frac{x}{x-2})=-\infty[/tex][tex]\begin{gathered} \lim _{x->2^+}(6)=6 \\ \end{gathered}[/tex]

Since:

[tex]\lim _{x->2^+}f(x)\ne\lim _{x->2^-}f(x)[/tex]

The function is discontinuous at x = 2. Besides since the function has a vertical asymptote on one of the sides, we can conclude it is a infinite discontinuity.

For x = 6:

[tex]\lim _{x->6^-}6=6[/tex][tex]\lim _{x->6^+}\frac{x-2}{x^2-6x+8}=\lim _{x->6^+}\frac{x-2}{(x-2)(x-4)}=\lim _{x->6^+}\frac{1}{x-4}=\frac{1}{2}[/tex]

Since:

[tex]\lim _{x->6^+}f(x)\ne\lim _{x->6^-}f(x)[/tex]

The function is discontinuous at x = 6, at this point the function has a jump discontinuity

Please help,, Consider the sequence of steps to solve the equation: 5(x - 3) = 7x2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x - 30 = 0 Step 4 ⇒ 3x = 30 Step 5 ⇒ x = 10 Identify the property of equality which yields Step 5.

Answers

Summary: The solution to the equation (x - 3)(x + 9) = -27 is x = 0 and x = -6.

An urn has 13 balls that are identical except that 6 are white and 7 are red. A sample of 7 is selected randomly without replacement.
What is the probability that exactly 5 are white and 2 are red?




What is the probability that at least 5 of the balls are white?

Answers

The probability that the exactly 5 are white and 2 are red is126/1716 and,

the probability that at least 5 of the balls are white is 133/1716

Given that:-

Total number of balls in the urn = 13

Number of white balls = 6

Number of red balls = 7

Number of randomly selected balls = 7

We have to find the probability that the exactly 5 are white and 2 are red and the probability that at least 5 of the balls are white.

Probability that exactly 5 balls are white and  2 are red, P(x = 5) = [tex]\frac{^6C_5*^7C_2}{^{13}C_7}[/tex] = 126/1716 = 21/286

We know that,

Probability that atleast 5 balls are white = P(x = 5) + P(x = 6)

We know that,

P(x = 6) = [tex]\frac{^6C_6*^7C_1}{^{13}C_7}[/tex] = 7/1716

Hence,

Probability that atleast 5 balls are white = 126/1716 + 7/1716 = 133/1716.

To learn more about probability, here:-

https://brainly.com/question/11234923

#SPJ1

For the equations given below, which statement is true? − 3 ⁢ x − 8 = 19 − 3 ⁢ x − 2 = 25 A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation. B. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation. C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation. D. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

Answers

The statement that are true about the equations − 3 ⁢ x − 8 = 19  and − 3 ⁢ x − 2 = 25 is that he equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

How can the true statements about the equations be found?

From the first equation, we were given,  − 3 ⁢ x − 8 = 19

then if we add 6 to the both sides of the equation then we will have

− 3 ⁢ x − 8 + 6 = 19 + 6

Then if we perform the simplification on this equation we have,

− 3 ⁢ x − 2 = 25

Which is the given equation i.e the second equation, hence the statement in the third option is correct.

Therefore, option C is correct.

Read more about equations here:

https://brainly.com/question/2972832

#SPJ1

mikala and joanna were each given $20 to spend on a trip mikala spent 3/4 of her money and jonna spent 3/5 of her money how much money did they spend together

Answers

Answer:

$27

Step-by-step explanation:

[tex] \frac{3}{4} (20) + \frac{3}{5} (20) = 15 + 12 = 27[/tex]

Find the value of x so that f(x) is parallel to g(x)need answers right away

○ 44
○ 25
○ 42
○ 18

Answers

Answer:  Choice A

Reason:

The angles shown must add to 180 degrees if we want the top and bottom lines to be parallel. These angles are same side interior angles.

(x+4)+(3x) = 180

4x+4 = 180

4x = 180-4

4x = 176

x = 176/4

x = 44

Answer:

x=42because of 3x and f or g

How to solve these three questions?

Answers

Using the normal distribution, it is found that:

a) The sampling distribution is approximately normal, with mean 45 and standard deviation 4.

b) The answer is not dependent on the sample size, as the underlying distribution is normal.

c) 0.0001 = 0.01% probability that the average is less than half an hour.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.By the Central Limit Theorem, the sampling distribution of sample means of size n is approximately normal, with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. If the underlying distribution is normal, there are no sample size restrictions, while if the underlying distribution is not normal, the Central Limit Theorem is only valid for sample sizes of 30 and greater.

For this problem, the parameters are given as follows:

[tex]\mu = 45, \sigma = 12, n = 9[/tex]

Hence the standard error of the approximately normal sampling distribution of sample means of size 9 is:

s = 12/sqrt(9) = 12/3 = 4.

As stated in the problem, the underlying distribution is normal, hence this is not dependent on the sample size.

For item c, the probability is the p-value of Z when X = 30, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (30 - 45)/4

Z = -3.75

Z = -3.75 has a p-value of 0.0001.

Hence the probability is of 0.0001 = 0.01%.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Consider the incomplete paragraph proof.

Given: P is a point on the perpendicular bisector, l, of MN.
Prove: PM = PN

Line l is a perpendicular bisector of line segment M N. It intersects line segment M N at point Q. Line l also contains point P.

Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN.

Answers

From the unique line postulate, we can draw unique line segment PM and as we are given that P is a point on the perpendicular bisector I of MN, the proof below has shown that using the definition of reflection, point P is the image of itself and point N is the image of point M

How to Interpret the Perpendicular Bisector?

We are given :

Point P is a point on the perpendicular bisector, l, of MN.

Now, we want to prove that PM = PN

A Reflection in transformation can be defined as the transformation in which the figure is the mirror image of the other figure. This means that every point is a mirror reflection of itself .

With the aid of the definition of reflection, we can form the statement that point P is the image of itself , and point N is the image of M .

The line l which is the perpendicular bisector of MN acts as a Line of symmetry or axis of reflection.

Finally, when talking about transformations, it is common knowledge that reflections preserve length which means that the required proof PM = PN will hold true

Therefore, we will conclude that point N is the image of M .

Read more about Perpendicular Bisector at; https://brainly.com/question/11006922

#SPJ1

Find values for the variables so that the following matrices are equal.

Answers

Given:

[tex]\begin{bmatrix}{x} & {7y} \\ {z} & {20}\end{bmatrix}=\begin{bmatrix}{4} & {21} \\ {4} & {20}\end{bmatrix}[/tex]

Let's find the values of the variables so that the matrices are equal.

To find the values of the variables, divide the values of the result by the corresponding values of the main matrix.

We have:

• x = 4

• 7y = 21

Divide both sides by 7:

7y/7 = 21/7

y = 3

• z = 4

[tex]\begin{gathered} \begin{bmatrix}{x=4} & {7y=21} \\ {z=4} & {20}\end{bmatrix} \\ \\ \begin{bmatrix}{4} & {7(3)} \\ {4} & {20}\end{bmatrix} \end{gathered}[/tex]

Therefore, we have:

• x = 4

,

• y = 3

,

• z = 4

ANSWER:

• x = 4

,

• y = 3

,

• z = 4

Solve each step of this problem

Answers

The cost is given as

[tex]10+0.5x[/tex]

Where x is the number of hours

The y-intercept is obtained from the graph as shown below

The value of the y-intercept is obtained to be 10

The y-intercept represents the value represents the fixed cost.

The slope of the cost is obtained from the cost function to be 0.5.

The slope represents the change in cost with respresent to time (hour).

Hence,

lank 1: 10

Blank 2: The fixed cost

Blank 3: 0.5

Blank 4: Change in cost or charge with respect to time used in hours

Blank 5:

[tex]C=10+0.5h[/tex]

Answer:

donde están lo calisado los continentes

odd even or neitheer

how many mistakes i have explain it to me​

Answers

Answer:

neitheroddoddevenevenneithereveneven

Step-by-step explanation:

You want to classify a number of functions as even, odd, or neither.

Even Function

An even function has a graph that is symmetrical about the y-axis. It has the characteristic that ...

  f(x) = f(-x)

A polynomial function will be an even function if it consists entirely of even-degree terms. (A constant is degree zero, hence even degree.) A rational function will be an even function if it can be reduced to the ratio of even functions.

Odd Function

An odd function has a graph that is symmetrical about the origin. It has the characteristic that ...

  f(x) = -f(-x)

A polynomial function will be an odd function if it consists entirely of odd-degree terms. A rational function will be an odd function if it reduces to the ratio of an even and an odd function.

Neither

A function is neither even nor odd if it does not have one of the symmetries mentioned above. A polynomial consisting of a mix of even- and odd-degree terms will be neither even nor odd.

1. (x³+4x²)/(7x²+1)

This is the ratio of a "neither" function to an even function. It is neither even nor odd.

2. (2x⁴+8x³)/(x³+4x²)

The ratio can be reduced to ...

  [tex]\dfrac{2x^4+8x^3}{x^3+4x^2}=\dfrac{2x^3(x+4)}{x^2(x+4)}=2x[/tex]

This consists only of an odd-degree term. It is an odd function.

3. x³/(7x²+1)

This is the ratio of an odd function to an even function. It is an odd function.

4. (4x²+7)/(7x⁸+3x²)

This is the ratio of two even functions. It is an even function.

5. (2x³+8x²)/(x³+4x²)

As in problem 2, the function can be reduced:

  [tex]\dfrac{2x^3+8x^2}{x^3+4x^2}=\dfrac{2(x^3+4x^2)}{x^3+4x^2}=2[/tex]

It is an even (degree 0) function.

6. (x²-4)/(x-2)

This is the ratio of an even function to a "neither" function. It is neither even nor odd.

The function reduces to x+2, which is neither even nor odd.

7. 1/(x²+9x⁶)

This is the ratio of two even functions. It is an even function.

8. (4x³+2x)/(7x⁵+3x³)

This is the ratio of two odd functions. It can be reduced to the ratio of two even functions, so it is an even function.

  [tex]\dfrac{4x^3+2x}{7x^5+3x^3}=\dfrac{2x(2x^2+1)}{x^3(7x^2+3)}=\dfrac{4x^2+2}{7x^4+3x^2}[/tex]

11) BUSINESS Julian makes and sells wallets. He estimates that his income can be modeled by
y = 16x130, where x is the number of wallets he sells. He estimates that his costs to make
the wallets can be modeled by y = 8x + 150. How many wallets does Julian need to make in
order to break even?

Answers

The number of wallets does Julian need to make in order to break even are 35.

What are linear equation?

X 1, ldots, and x n are the variables, and display style b, a 1, ldots, and a n are the coefficients. In mathematics, a linear equation is an equation that can be written as x 1, ldots, and x n + a n + b = 0. Ax + By = C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y). frequently actual numbers. The first-degree equations are linear equations. The following is the equation for a straight line. Ax+by+c = 0, where a and b are both zeros, is the conventional form of a linear equation.

In order to "break even," his earnings and expenses have to be equal. The number of wallets (x) is represented in both equations. Simply put, you have to work out the equations in the system.

Both the given equation are equal to y

So,

16x - 130 = 8x + 150

16x - 8x = 150 + 130

x = 280/8

x = 35

To know more about linear equations ,visit:

https://brainly.com/question/11897796

#SPJ9

The perimeter of the triangle below is 68 units. Find the value of y

Answers

Y=9

Since we are talking about perimeter add all of the sides together and set them equal to the total creating the equation 68=3y+y-1+4y-3. Combine like terms and you get 68=8y-4. From here you can use inverse operations to solve for the value of y. So add 4 to both sides and you get 72=8y (-4 and +4 cancel out). Finally divide both sides by 8 and you are left with 9=y.

Always double check your work:
3(9)+(9)-1+4(9)-3=68
27+8+33=68
68=68

Blood types: The blood type O negative is called the "universal donor" type, because it is the only blood type that may safely be transfused into any person.
Therefore, when someone needs a transfusion in an emergency and their blood type cannot be determined, they are given type O negative blood. For this
reason, donors with this blood type are crucial to blood banks. Unfortunately, this blood type is fairly rare; according to the Red Cross, only 7% of U.S. residents
have type O negative blood. Assume that a blood bank has recruited 19 donors. Round the answers to four decimal places.
a) what is the probability that three or more of them have type O negative blood?
b) what is the probability that fewer than four of them have type O negative blood?
c) It (would/wouldn’t) be unusual if none of the donors had type O negative blood since the probability is __?

Answers

a) It is 0.1275 times more probability that fewer than five of them have type o negative blood.

b) The probability that less than five of them are type o negative blood types is 0.9933.

c) 0.2708 probability that there are no donors who have type O negative blood. It would not be odd to have no type o negative donors because this likelihood is higher than 0.05.

There are only two outcomes that can occur for any individual. Type o negative blood is either present or absent. Any other person has no effect on a person's likelihood of having type O negative blood. To answer this question, we thus employ the binomial probability distribution.

Binomial probability distribution

The probability of precisely x successes on n repeated trials is known as a binomial probability, and X can only have two possible outcomes.

P(X=x)= [tex]C_{n,x.P^{x}.(1-P)^{n-x} }[/tex]

Additionally, p is the probability that X will occur.

A whopping 7% of Americans have type o negative blood.

This means that P=0.07

18 donors.

This mean that n = 18

the probability that three or more of them have type o negative blood

Either less than three have, or at least three do. The sum of the probabilities of these events is 1. So

P(X<3) + P(X≥3)=1

We want P(X≥3)

So,

P(X≥3) = 1-P(X<3)

In which

P(X< 3)= P(X = 0)+P(X = 1)+P(X = 2) = 0.2708 + 0.3669 +0.2348 = 0.8725

P(X≥3) = 1-P(X<3) = 1- 0.8725=0.1275

It's 0.1275 times more likely that fewer than five of them have type O negative blood.

The probability that fewer than five of them have type o negative blood

P ( x < 5 )= P(X=0)+P(X=1)+P(X=3)+P(X=3)+P(X=4)

P(X=x)= [tex]C_{n,x.P^{x}.(1-P)^{n-x} }[/tex]

P(X=0)= [tex]C_{18,0(0.07)^{0}.(0.93)^{18} }= 0.2708[/tex]

P(X=1)=   [tex]C_{18,1(0.07)^{1}.(0.93)^{17} }= 0.3669[/tex]

P(X=2)= [tex]C_{18,2(0.07)^{2}.(0.93)^{16} }= 0.2348[/tex]

P(X=3)= [tex]C_{18,3(0.07)^{3}.(0.93)^{15} }= 0.0942[/tex]

P(X=4))= [tex]C_{18,4(0.07)^{4}.(0.93)^{14} }= 0.0266[/tex]

P(X < 5)=P(X=0)+P(X=1)+P(X=3)+P(X=3)+P(X=4)

0.2708+0.3669+0.2348+0.0942+0.0266=0.9933

Would it be unusual f none of the donors had type o negative blood

P(X=0)= [tex]C_{18,0(0.07)^{0}.(0.93)^{18} }= 0.2708[/tex]

Probability of having no type O negative blood donors is 0.2708. It would not be odd to have no type o negative donors because this likelihood is higher than 0.05.

To learn more about probability distribution visit :

brainly.com/question/16893848

#SPJ9

What is the entire set of people for a study?

census
population
sample
survey

Answers

Answer: The population

It is C or aka Population

Have an awesome day! ;)

can somebody help me with this problem in mathematics.

Answers

Answer:

Hachem saves $875.

Step-by-step explanation:

$2,500 - 35% = $1,625

$2,500 - $1,625 = $875

Write an equation of the line that passes through P(0, 0) and is parallel to the line y=4x-7. Your answer should be written in slope-intercept

Answers

Answer:

[tex]y=4x[/tex]

Step-by-step explanation:

Slope-intercept form:

[tex]y=mx+b\\[/tex]

m is the slope

b is the y-intercept

Parallel lines have the same slope, therefore we know that our new line will have the slope m = 4.

Since the point is the origin (0,0) we also know that the y-intercept will be 0.

Using this information, write the equation of the line:

[tex]y=4x+0[/tex]

Simplify:

[tex]y=4x[/tex]

A B C D Given that ABCD and AD - CB, how can you prove that A ABD ACDB? (G.6)(1 point) O A. Side-Side-Angle (SSA) O B. Angle-Side-Angle (ASA) C. Side-Side-Side (SSS) O D. Side-Angle-Side (SAS)

Answers

Answer

Option C is correct.

Side-Side-Side (SSS)

Explanation

The key to proving that two triangles are similar or congruent is to prove that three of either side lengths or angles are congrunet, similar or the same.

For the figure given, we have already been told that

Side AB = Side CD

Side AD = Side CB

Since the two triangles share a similar side in BD, we can complete this by saying

Side BD = Side BD

Side AB = Side CD

Side AD = Side CB

Side BD = Side BD

So, three of the sides of the triangles are equal or congruent.

Hope this Helps!!!

Other Questions
In an experiment, a solution required 30. 05 g of nacl, 50. 0 g of , and 0. 4006 g of mgso4. Using the correct number of significant figures, what is the resulting mass?. Which term names the part of a sound wave by which frequency or pitch is measured?Responsestimelinehertzcyclepeaks First the pinch-hitter selected a bat from the rack. Then he took a few practice swings.The relationship indicated by the word then is one ofa. additionb. time The severity of a tropical storm is related to the depressed atmospheric pressure at its center. In August 1985, Typhoon Odessa in the Pacific Ocean featured maximum winds of about 90 mi/hr and pressure that was 40.0 mbar lower at the center than normal atmospheric pressure. In contrast, the central pressure of Hurricane Andrew (pictured) was 90.0 mbar lower than its surroundings when it hit south Florida with winds as high as 165 mi/hr.If a small weather balloon with a volume of 50.0 L at a pressure of 1.00 atmosphere was deployed at the edge of Typhoon Odessa, what was the volume of the balloon when it reached the center? [tex]\sqrt{3(\sqrt{3}-1)^2 }[/tex] Search for files and folders on Local Disk (C:) that were modified today. How many files or folders were found?2. Search for files and folders on Local Disk (C:) that were modified since your last birthday. How many files or folders were found? What was the immediate cause of American entry into World War I? Which of the following powers is NOT granted to Congress under Article 1?A). TaxesB). Coin moneyC). Speed limitsD). Declare war Help 4567778776655555 I need help with this homework assignment problem When x+x-3 is subtracted from 3x - 5, the result is A. -2x + x + 2 B. 2x - x - 2 C. 2x - x + 2 D. 4x+x-8 Hello, I would really appreciate it if someone would help me out with this problem and explain how they did it if possible. If not that is completely alright. I hope you all have an amazing day. Thank you so much! :) (Even if you don't solve the problem feel free to give it your best guess or even just say "hello" to earn yourself some points. You deserve them.) :D (Will be looking for a brainliest!) 1.00 kg of ice at -24.0C is placed in contact with a 1.00 kg block of a metal at 5.00C. They come to equilibrium at -8.88C. What is the specific heat of the metal? Ice: c = 2000 J/(kg*C)(Unit = J/(kg*C)) Solve the equation.3=z8 9(x)=1/4x+1What is g(-16)?G(-16)= A merchant bought several pieces of silk for $70. He sold all but two of them at a profit of $4 per piece. His total profit was $18. How many pieces did he originally purchase? How did the films change in style make you feel? What sort of things did the preview have that changed this movie from one genre to another? a freight train is traveling due west at 10 miles per hour and begins to slowly pick up speed. of the train reaches a speed of 70 mph in 2 hours, what is the average acceleration of the train. The atomic number of carbon is 6. How many electrons does an atom of carbon have if it is represented by the symbolshown below?12C-O 5 electronsO 6 electronsO 7 electronsO 11 electrons area of composite figures worksheet #1 (dont mind the pen its a mistake)