Answer:
ok so here we know that Baily kicked the target 6 times out of 20 that is 6/20 and then you just reduce the fraction dividing it by 2 so it will be 3/10
Step-by-step explanation:
hope it helps :)
100 POINTS!! Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers.
Answer:
(A, B, C, D)
What is the sample space of the probability?
Sample space is the set of all possible outcomes of a random experiment.
Here given possible outcomes are A, B, C, D
Hence, Sample space of probability = (A, B, C, D), total 4 different choices
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Answer :
The set of all possible out in a random experiment is refer to as sample space.
The reading above is an example of discrete(finite) sample space.
Following the Discrete Probability Law if a sample space consist of a finite number ex:{1 ,2 ,3} . The probability is the sum of the probabilities of the elements.
Therefore answering a multiple choice questions with A,B,C and D are four choices with possible answer of A,B,C and D.
Match each unit rate on the left with an equivalent phrase on the right. Some
answer options on the right will not be used.
38 apples
1 basket
45 apples
1 basket
42 apples
1 basket
8 apples distributed evenly among 304
baskets
7 apples distributed evenly among 294
baskets
304 apples distributed evenly among 8
baskets
294 apples distributed evenly among 7
baskets
405 apples distributed evenly among 9
baskets
Answer:
C, E, D
Step-by-step explanation:
A "unit rate" is a rate that has 1 unit in the denominator. Here, the rates are all given in terms of the number of apples in 1 basket. (The 1 basket is the 1 unit.)
ApplicationWhen rates are given with some number of units other than 1 in the denominator, divide the numerator by the denominator to find the unit rate.
Here, the unit rates are all more than one apple in each basket, so the number of apples must be a multiple of the number of baskets. Phrases "A" and "B" both have more baskets than apples, so will not be used.
C: (304 apples)/(8 baskets) = (304/8) apples/basket = 38 apples/basket
D: (294 apples)/(7 baskets) = (294/7) apples/basket = 42 apples/basket
E: (405 apples)/(9 baskets) = (405/9) apples/basket = 45 apples/basket
Matching(38 apples)/(1 basket) = C: 38 apples/basket
(45 apples)/(1 basket) = E: 45 apples/basket
(42 apples)/(1 basket) = D: 42 apples/basket
98. A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was two ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. a. i. x ¯ =________ ii. σ =________ iii. sx =________ b. In words, define the random variable X. c. In words, define the random variable X ¯ . d. Which distribution should you use for this problem? Explain your choice. e. Construct a 90% confidence interval for the population mean weight of the candies. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. f. Construct a 98% confidence interval for the population mean weight of the candies. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. g. In complete sentences, explain why the confidence interval in part f is larger than the confidence interval in part e. h. In complete sentences, give an interpretation of what the interval in part f means.
The population standard deviation is the standard deviation of the whole population denoted by sigma.
The sample mean is denoted by x bar and standard deviation by sx and it is the mean and standard deviation of the sample not the population from which the sample is chosen.
The data given in problem answers the first part.
The mean weight of the sample denoted by x bar x ¯ was two ounces with a standard deviation denoted by sx of 0.12 ounces.
The population standard deviation is denoted by σ known to be 0.1 ounce.
a. i. x ¯ =___2_____ ii. σ =___0.1_____ iii. sx =___0.12_____
e. Sub part i) 1.959 ; 2.041
Sub part iii) The error bound is 0.041
f. Sub Part i) 1.935 ; 2.065
Sub Part iii) The error bound is 0.0645
Part b)
The random variable X is any number defining the weights of the sample chosen from the population.
Part c)
The random variable X bar is the average weight of the sample obtained by adding the total weights of the sample divided by the number of the sample size.
Part d)
The normal distribution is used to solve the problem because the sample size is less than 30.
Part e
The 90 % confidence interval is calculated as ∝ = 1- 90%
∝ = 0.1
∝/2= 0.1/2= 0.05
xbar± z(∝/2) σ /√n
Putting the values
2± 1.645 (0.1)/√16
2± 0.041
or
Sub part i) 1.959 ; 2.041
Sub part iii) The error bound is 0.041
Part f
The 98 % confidence interval is calculated as ∝ = 1- 98%
∝ = 0.02
∝/2= 0.1/2= 0.01
xbar± z(∝/2) σ /√n
Putting the values
2± 2.58 (0.1)/√16
2± 0.0645
or
Sub Part i) 1.935 ; 2.065
Sub Part iii) The error bound is 0.0645
Part g
The confidence interval in part f is larger than the confidence interval in part e because we are 98 percent confident about the accuracy of the result. The interval is 0.01 for two tailed test which is very less as compared to 0.05 for 90% confidence interval.
The larger the area of the confidence interval less sure we are about the accuracy of the result hence getting a smaller value .
Part h
On the average 90 % of the 16 sample will have the true value of the mean.
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Write the equation of the graph.
Number graph ranging from negative four to four on the x axis and negative two to six on the y axis. A line with a positive slope is drawn on the graph, passing through the point (two, six).
y=12x+5
y−3=−12(x+1)
y−3=12(x+1)
y+3=−12(x−1)
The line which is described as in the task content has equation; (y - 6) = 12 (x-2).
What is the equation of thee line described in the task content?From the task content, it follows that two points which can be used to evaluate the slope of the graph is positive.
Hence, the equation of the line in discuss is which passes through the points given is; (y - 6) = 12 (x-2) in which case, the positive slope number is 12.
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8 squared plus 6 squared = c squared using Pythagorean theorem for right triangle
Answer:
Hypotenuse of 10
Step-by-step explanation:
The Pythagorean Theorem is [tex]a^{2} +b^{2} = c^{2}[/tex]
So let's plug in the numbers!
[tex]8^{2} +6^{2} = c^{2}[/tex]
Let's start the squaring (8*8 and 6*6)
[tex]64 + 36 = c^{2}[/tex]
Add the numbers to simplify
100 = [tex]c^{2}[/tex]
To reverse/invert a number that is squared, all you have to do is to take the square root of the number. But we have to do the same operations on both sides of the equation.
[tex]\sqrt{100} =\sqrt{c^{2} }[/tex]
We can simplify, and the square of c cancels because of the square root, leaving us with:
10 = c
15. Ms. Goldman is thinking of a number that is less than 20 and has three factor pairs. She says
that if she adds the factors in each factor pair the sums are 19, 11 and 9. What is her number?
Given: the number is less than 20; three-factor pairs; each factor pair individually adds up to 19, 11, and 9
Solve for her number.
Step-by-step explanation:
If you think about it for a little bit, you will eventually find that 18 + 1 = 19 and 18 × 1 = 18 which is less than 20.
Then we know 18 has 2 more factor pairs : 9 × 2 and 6 × 3 which add up to 11 and 9.
Therefore our answer is: 18
18 × 1
9 × 2
6 × 3
The trick is to pick the largest sum of one-factor pair (19 in this question) and then choose the number below it.
243 --‐ 81 --‐ 27 --‐ ___ --‐ 3 --‐ 1
A box can be filled completely using 9 layers of 11 units cubes. What is the volume of the box?
The volume of the box is 99 unit cubes.
What is the volume of the box?A cube is a three-dimensional object that has six faces, twelve edges and eight vertices. The length, width and height of a cube usually has equal dimensions. The volume of the box is a function of the dimension of the cubes in it and the number of layers.
Volume of a box = number of layers x amount of units
9 x 11 - 99 unit cubes
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Select the correct difference.
-3z5 - (-7z5)
04 Zz
042²
O-10 z
042
The correct difference between the expressions is 4z⁵. The correct option is the first option 4z⁵
Simplifying an expressionFrom the question, we are to simplify the given expression by subtracting the expressions
The given expression is
-3z⁵ - (-7z⁵)
Clear the parenthesis by multiplying
-3z⁵ +7z⁵
Simplifying
4z⁵
The simplified form of the expression is 4z⁵
Hence, the correct difference between the expressions is 4z⁵. The correct option is the first option 4z⁵
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To decrease a number by 13%, what decimal should we multiply it by?
Answer:
0.87
Step-by-step explanation:
After decreasing new value would be : 100% - 13% = 87%
87 % = 87/100 = 0.87
I need some help new topic
Answer:
1160cm squared
Step-by-step explanation:
as for me I've calculated the surface area of a closed cuboid.
this is because we are not informed whether it is open or closed.
and so my teacher told me that if you're not informed, if a cuboid is open or closed, just assume that the cuboid is closed.
and that is what I have done.
hope it helps.
in case of any questions feel free to ask.
The answer to this problem
Answer:
jdiddbhhuduh9ruruuehgruhrhudhheherj
FINDING THE NUMBER OF REAL AND NONREAL SOLUTIONS ( EDGE 2022 )
How many real and nonreal solutions does the equation have?
x5 – 6x + 4 = 0
By graphing the function, we can see that we have 3 real solutions and 2 non-real solutions.
How many real and nonreal solutions does the equation have?
To check this, we need to graph the equation and see how many times it intersects the x-axis.
Because the degree is 5, we know that there are 5 solutions in total.
Now if we look at the graph, we can see that it intersects the x-axis on 3 points, so there are 3 real solutions. And because there are 5 solutions in total, we conclude that the other 2 solutions are non-real.
So we have 3 real solutions and 2 non-real solutions.
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Use Stokes' Theorem to evaluate the double integral of the curl of F
F(x, y, z) = e^(xy) cos(z)i + x^2 zj + xyk,
S is the hemisphere
x = radical 49 − y^2 − z^2
oriented in the direction of the positive x-axis.
Stokes' theorem relates the surface integral of the curl of [tex]\vec F[/tex] across [tex]S[/tex] to the line integral of [tex]\vec F[/tex] along the boundary of [tex]S[/tex].
The boundary of [tex]S[/tex] is a circle with radius 7 centered at the origin in the [tex]x,y[/tex]-plane. Parameterize this path by
[tex]\vec r(t) = 7\cos(t)\,\vec\imath + 7\sin(t)\,\vec\jmath[/tex]
with [tex]0\le t\le2\pi[/tex]. Observe that [tex]z=0[/tex], so [tex]\cos(z) = 1[/tex] and the [tex]\vec\jmath[/tex]-component of [tex]\vec F[/tex] contributes nothing. The double integral then reduces to
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec S = \int_0^{2\pi} \vec F(\vec r(t)) \cdot \frac{d\vec r}{dt} \, dt \\\\ ~~~~~~~~ = \int_0^{2\pi} \left(e^{49\cos(t)\sin(t)}\,\vec\imath + 49\cos(t)\sin(t)\,\vec\jmath\right) \cdot \left(-7\sin(t)\,\vec\imath + 7\cos(t)\,\vec\jmath\right) \, dt \\\\ ~~~~~~~~ = -7 \int_0^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt[/tex]
Observe that by substituting [tex]t=u+\pi[/tex], we have
[tex]\sin(t) = \sin(u+\pi) = \sin(u)\cos(\pi) + \cos(u)\sin(\pi) = -\sin(u)[/tex]
so that the integral over [tex][\pi,2\pi][/tex] can be expressed in terms of the integral over [tex][0,\pi][/tex] as
[tex]\displaystyle \int_\pi^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt = \int_0^\pi -e^{49\cos(t)\sin(t)} \sin(t) \, dt[/tex]
Then the integrals over [tex][0,\pi][/tex] and [tex][\pi,2\pi][/tex] cancel each other and integral of the curl of [tex]\vec F[/tex] is
[tex]\displaystyle -7 \int_0^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt = -7 \int_0^\pi 0 \, dt = \boxed{0}[/tex]
A line has a slope of Negative three-fifths. Which ordered pairs could be points on a parallel line? Select two options. a (–8, 8) and (2, 2) b (–5, –1) and (0, 2) c (–3, 6) and (6, –9) d (–2, 1) and (3, –2) e (0, 2) and (5, 5)
Options A and D are having a slope equal to -3/5.
Given that the slope of the line is -3/5.
That is, m = -3/5
We need to find which ordered pairs could be points on a parallel line.
What is the formula to find the slope of the line?The formula for slope between two coordinates is m = (y₂ - y₁)/(x₂ - x₁).
Now,
Using (–8, 8) and (2, 2);
m = (2 - 8)/(2 - (-8))
⇒m = -6/10
⇒m = -3/5
Using (–5, –1) and (0, 2);
m = (2 - (-1))/(0 - (-5))
⇒m = 3/5
Using (–3, 6) and (6, –9);
m = (-9 - 6)/(6 - (-3))
⇒m = -15/9
⇒m = -5/3
Using (–2, 1) and (3, –2);
⇒m = (-2 - 1)/(3 - (-2))
⇒m = -3/5
Using (0, 2) and (5, 5);
m = (5 - 2)/(5 - 0)
⇒m = 3/5
We know that the condition for parallel lines slope is [tex]m_{1} =m_{2}[/tex].
Therefore, options A and D are having a slope equal to -3/5.
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7. Meghraj divided like this. 1.05 2.1 → 105 210 Do you agree with what he did? Explain your thinking.
Step-by-step explanation:
I guess that means
1.05 / 2.1
or
1.05 ÷ 2.1
both mean the same thing.
so, let's look at
1.05 / 2.1
this is the same as
105/100 / 210/100 = (105×100) / (210×100) =
= (105×100) / (210×100) × (1/100 / 1/100)
as long as we multiply numerator (top) and denominator (bottom) always with the same thing, the general fraction or division is unchanged.
(105×100) / (210×100) × (1/100 / 1/100) =
= (105 × 100/100) / (210 × 100/100) = 105 / 210
so, yes, the division of 105 / 210 is the same as 1.05 / 2.1
To be able to solve equations 3 and 4 by elimination, each equation needs to be multiplied by something, Drag a red number to the red box for equation 3 and a brown number to the brown box for equation 4.
The solution to the equation 3 and 4 by elimination is x = -2 and y = -2
Simultaneous equation2x = 3y + 2. (1)
3x = 5y + 4. (2)
Rewriting the equation2x - 3y = 2. (3)
3x - 5y = 4 (4)
Multiply (3) by 3 and (4) by 26x - 9y = 6. (5)
6x - 10y = 8. (6)
subtract (5) from (6) to eliminate x-10y - (-9y) = 8 - 6
-10y + 9y = 2
-y = 2
y = -2
substitute y = -2 into (3)2x - 3y = 2. (3)
2x - 3(-2) = 2
2x + 6 = 2
2x = 2 - 6
2x = - 4
x = -4/2
x = -2
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A ladder that is 20 feet in length is resting on a branch of a tree, and the base of the ladder is 12 feet from the tree on the level ground. How high up is the branch on which the ladder is resting?
Answer:
56.57 rounded to the nearest hundredths
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 + x^2 = 60^2
400 to x^2 = 3600
x^2 = 3200 take the square root of each side.
x = 56.57 rounded to the nearest hundredths
When you go out to eat a good tip is 20% of the bill. If your bill is $45, what should the tip be?
Answer:
the tip should be 9 dollars
Step-by-step explanation:
PLS HELP ITS A EMERGENCY!!!!!
Answer:
16 I can't find the lengths but Angle A = Angle B = Angle C = 60 degrees.
17 X = 55 degrees, Y = 60 degrees, Z = 65 degrees.
18 Angle B and Angle C
19 BC and AC
20 They are all 60 degrees and are all equal to each other.
Hope I helped!
Approximately what percentage of the customers chose Black or Grey?
Write your answer as a multiple of - that is, 10%, 20%, 30%, ...
Supposing that 20 out of 100 people choose black or gray, the percentage is of 20%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Hence, if 20 out of 100 people choose black or gray, the percentage is given by:
[tex]P = \frac{20}{100} \times 100\% = 20\%[/tex]
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Homework:Sections 4.3 and 4.4 Homework
Question 9, 4.4.9
HW Score: 53.33%, 6.4 of 12 points
Points: 0 of 1
Question content area top
Part 1
Farmer Ed has 8,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?
Answer:
8,000,000 m²
Step-by-step explanation:
The largest rectangular area is enclosed when half the fence is used for sides in one direction, and the other half of the fence is used for sides perpendicular.
Here, no fence is needed on the river side, so 8000/2 = 4000 meters of fence will be used parallel to the river. The other 4000 m of fence will be split between the two ends of the enclosure, so its area will be ...
4000 m × 2000 m = 8,000,000 m² . . . largest enclosed area
More formal solutionWe can let x represent the length of fence perpendicular to the river. The amount of fence available for the side parallel to the river is ...
L = 8000 -2x . . . . . the rest of the 8000 m of fence after 2 sides are used
The area is ...
A = x(8000 -2x) = 2x(4000 -x) . . . . area is product of length and width
This equation for the area describes a parabola that opens downward and has zeros at x=0 and x=4000. Its maximum will be on the line of symmetry, halfway between these zeros. The value of x that gives maximum area is ...
(0 +4000)/2 = 2000
The plot will extend 2000 meters out from the river and will have a length of ...
8000 -2(2000) = 4000 . . . meters
The maximum area is (2000 m)(4000 m) = 8,000,000 m².
GraphThe attached graph shows area as a function of the dimension perpendicular to the river.
Write as a percent 0.011
Answer:
1.1%
Step-by-step explanation:
To convert from percentage to decimal you simply divide by 100 so to convert from decimal to percentage you do the opposite, by multiplying by 11. In doing so, you get 1.1%. Think about it this way, if you wanted 100% of an item, you would basically just be multiplying by 1... which is 100% divided by 100. But if you wanted 50%, you would want half, or other in other words divide it in half, which is the same as multiplying by 0.50 which is 50% divided by 100
divided 80 by my number, and then added 13. The result was 93. What was my number?
If my number is x, then the equation is , the number is
The number is 6400.
We have given that,
divided 80 by my number, and then added 13.
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Suppose the number is x
[tex]\frac{x}{80}+13=93[/tex]
Subtract 13 from both sides
[tex]\frac{x}{80}+13-13=93-13[/tex]
[tex]\frac{x}{80}=80[/tex]
Multiply both sides by 80
[tex]\\\frac{80x}{80}=80\cdot \:80[/tex]
x=6400
Therefore the number is 6400.
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State the domain and range of the following function. {(-9, 3), (5, 1), (6, 9), (-4, 7), (3, 2)}
Answer:
Step-by-step explanation:
The height of a right triangular prism is 1 5/6 inches each side of the triangular base measures 10 inches and the height of the bases eight2 over 3 inches the triangular prism is place to top of cube whose side measures 10 inches so that one of the triangular prisms bases lies completely on one side of the cube what is the surface area of the solid formed
The surface area of the solid formed is approximately, 598.3 in².
What is the Surface Area of a Right Triangular Prism?Surface area of the solid is the area covered by the solid all round.
The given parameters are:
Height of the prism (L) = 1 5/6 = 1.83 in.Side of base (s1) = 10 in.Side of base (s2) = 10 in.Side of base (s3) = 8 2/3 = 8.67 in.base (b) = 10Height (h) = 8.67 in.a = 10 in.Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²
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investment of $2000 at 10% simple interest for 9 years
investment of $3000 at 3% simple interest for 20 years
investment of $2000 at 10% simple interest for 3 years
Put them in order from least interest amount to greatest interest amount
Answer:
The last investment (C) has the least interest of $600
The other two investments (A and B) have the same amount of interest of $1800.
Step-by-step explanation:
Simple Interest Formula
I = Prt
where:
I = interest earnedP = principalr = interest rate (in decimal form)t = time (in years)Investment A
P = $2000r = 10% = 0.1t = 9 yearsSubstitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(9)
⇒ I = $1800
Investment B
P = $3000r = 3% = 0.03t = 20 yearsSubstitute the given values into the formula and solve for I:
⇒ I = 3000(0.03)(20)
⇒ I = $1800
Investment C
P = $2000r = 10% = 0.1t = 3 yearsSubstitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(3)
⇒ I = $600
The last investment (C) has the least interest of $600.
The other two investments (A and B) have the same amount of interest of $1800.
Renting a car costs $40 per day or $750 per month. renting daily is cheaper for a few days, but after how many days is it cheaper to rent on a monthly basis?
Renting a car on a monthly basis after 19 days makes it cheaper than renting on a daily basis.
How to solve such questions?
The key concept for solving such questions is by calculating the number of days on which both renting a car on a monthly basis equals renting a car on daily basis. So on the very next day as renting a car on daily basis still adds up the expense it will become costlier and renting a car on monthly basis makes it cheaper.
Given:-
Cost of renting car on a daily basis = $40
Cost of renting car on a monthly basis = $750
Let number of days on which both renting a car on a monthly basis equals renting a car on daily basis be x.
Therefore
40 × x = 750
x = [tex]\frac{750}{40}[/tex]
x = 18.75 days
From 19th day onwards cost of renting on a daily basis will exceed cost of renting car on a monthly basis.
Thus , Renting a car on a monthly basis after 19 days makes it cheaper than renting on a daily basis.
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A nurses wages were $640 per week plus $24 per hour for overtime.if a nurses wages for a week were $712 how many hours of overtime did the nurse work what was the percentage
Answer:
Step-by-step explanation:
c) Describe the relationship between ∠E and ∠K. What is the measure of ∠K? (1 point)
The relationship between ∠E and ∠K is ∠E = ∠K
What is Parallel Lines ?Two lines are said to be parallel when they do not meet even at infinity and the distance between them always remains constant.
∠E = ∠G ( vertical angles) ∠H = ∠F ( vertical angles) ∠G = ∠K (corresponding angles) From equations i) and iii)
we get ∠E = ∠K and they are alternate exterior angles.
The measure of angle K can be found from the equation
∠K + ∠J = 180° (consecutive interior angles)
∠K = 180° - ∠J
∠K + ∠L = 180°
∠K = 180° - ∠L
The missing image is attached with the answer.
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