When
3(x)
= 4 is solved for x in terms of w and kits solution is which of the following?

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

[tex]\mu = 225 - 240 = -15[/tex]

Sean's standard deviation is of 25, Evan's of 15. So

[tex]\sigma = \sqrt{25^2+15^2} = 29.15[/tex]

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

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

[tex]Z = \frac{0 - (-15)}{29.15}[/tex]

[tex]Z = 0.51[/tex]

[tex]Z = 0.51[/tex] has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

Answer:

A = 846 in²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals ) , then

A = [tex]\frac{1}{2}[/tex] × 36 × 47 = 18 × 47 = 846 in²

Answer:

846

Step-by-step explanation:

area of a rhombus is [tex]\frac{pq}{2}[/tex]  where p and q are the two diagonals ..

so [tex]A=\frac{36*47}{2}[/tex]

A=846

Answer:

20.5 , 30.4 , 5.3

Step-by-step explanation:

SOHCAHTOA

sinθ = opposite / hypotenuse

cosθ = adjacent / hypotenuse

tanθ = opposite / adjacent

10. tan64° = 42 / x ; x = 42 / tan64° ; x = 20.48476872

12. sin54° = BD / 20 ; BD = 20 * sin54° ; BD = 16.18033989 ;

     tan28° = BD / DC ; DC = BD / tan28° ; DC = 30.43079344

13. tan51° = JL / 14 ; JL = 14 * tan51° ; JL = 17.28856019 ;

     cos72° = KL / JL ; KL = JL * cos72° ; KL = 5.342458907

Answer:

Robert can read the books in 129,600 different ways.

Step-by-step explanation:

The order in which the book are read is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Top shelf:

4 books from a set of 6. So

[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]

Middle shelf:

2 books from a set of 3. So

[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]

Bottom shelf:

3 books from a set of 6. So

[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]

Total:

360*3*120 = 129,600

Robert can read the books in 129,600 different ways.

Answer:

A. 13

Step-by-step explanation:

The non-vertex angles of a kite are always congruent. Therefore,

m<X = m<Z = 102°

Sum of all angels of a kite = 360°

Thus:

m<X + m<Y + m<Z + m<W = 360°

Substitute

102 + (5x - 4) + 102 + (7x + 4) = 360

102 + 5x - 4 + 102 + 7x + 4 = 360

Add like terms

204 + 12x = 360

12x = 360 - 204

12x = 156

x = 156/12

x = 13

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

3 feet in a yard... 12x3 = 36...... 36+36+36 =108 inches

108 divided by 6 is 18 bracelets

Answer:

[tex]-5(3m+5)[/tex]

Step-by-step explanation:

Factor by grouping:

'-5' is a common factor.

Factoring out '-5'....

[tex]-15m-25\\\\\boxed{-5(3m+5)}[/tex]

Hope this helps.

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

Answer:

Step-by-step explanation:

If those choices given (there is one missing) the false statement is the constant term is 3. It's not. -3 is the constant term.

Answer:

Step-by-step explanation:

C. the constant term is not 3

So we would expect both spinners to land on blue once, approximately.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur. The closer the probability is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely it is to occur.

Here,

To solve this problem, we can use the multiplication rule of probability, which states that the probability of two independent events A and B occurring together is equal to the product of their individual probabilities:

P(A and B) = P(A) × P(B)

In this case, we want to find the number of times both spinners land on blue, which is equivalent to the probability that spinner A lands on blue (0.5) multiplied by the probability that spinner B lands on blue (0.4), because the events are assumed to be independent. Therefore:

P(both blue) = P(A blue) × P(B blue) = 0.5 × 0.4 = 0.2

This means that the probability of both spinners landing on blue is 0.2, or 20%.

To estimate the number of times both spinners land on blue out of a certain number of trials, we can use the expected value of a binomial distribution, which is given by:

E(X) = n × p

where X is the random variable representing the number of successes (in this case, both spinners landing on blue), n is the number of trials, and p is the probability of success (0.2 in this case).

We are given that the number of times both spinners land on red is 84, which is equivalent to the number of trials minus the number of times both spinners land on blue. Let's denote the number of trials as n. Then we have:

n - 84 = number of times both spinners land on blue

Substituting the values we have found, we get:

n - 84 = 0.2n

Simplifying and solving for n, we get:

0.8n = 84

n = 105

Therefore, the estimated number of times both spinners land on blue out of 105 trials is: number of times both spinners land on blue

= 0.2 × 105 - 84 ≈ 1

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Answer:

ST = 4

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

ST = [tex]\frac{1}{2}[/tex] PQ substitute values

- 32 + 9x = [tex]\frac{1}{2}[/tex] (- 5x + 28) ← multiply both sides by 2 to clear the fraction

- 64 + 18x = - 5x + 28 (add 5x to both sides )

- 64 + 23x = 28 ( add 64 to both sides )

23x = 92 ( divide both sides by 23 )

x = 4

Then

ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4

Answer:

f(x) = -4x² - 24x - 38

Step-by-step explanation:

f(x )= -4(x + 3)² – 2

Expand the squared term

f(x) = -4 (x² + 6x + 9) - 2

Distribute the -4

f(x) = (-4x² - 24x - 36) - 2

Combine like terms

f(x) = -4x² - 24x - 38

Angle F should be 46 degrees

Answer:

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as square centimteres, square feet, square inches, etc.

"The sum of two numbers is 20" can be translated mathematically into the equation:

x + y = 20.

"... and their difference is 10" can be translated mathematically as:

x - y = 10

We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:

Adding the two equations will eliminate the variable y:

x + y = 20

x - y = 10

-----------

2x + 0 = 30

2x = 30

(2x)/2 = 30/2

(2/2)x = 15

(1)x = 15

x = 15

Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):

x + y = 20

15 + y = 20

15 - 15 + y = 20 - 15

0 + y = 5

y = 5

CHECK:

In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:

x + y = 20 x - y = 10

15 + 5 = 20 15 - 5 = 10

20 = 20 10 = 10

Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:

xy = 15(5)

xy = 75

Answer:

5/64

Step-by-step explanation:

numerators 1 time 5 is 5 and denominators 8 times 8 is 64;  5/64

Answer:

0.39

Step-by-step explanation:

think about it this way, if you take away the decimal it would be 39 and 04. 04 is another way to write 4 and  4 is less than 39. so 0.04 is less than 0.39

Answer:

0.04 > - 0.39

Step-by-step explanation:

0.04 > - 0.39

Answer:

im sorry

i still dont know the answer tho

Answer:

54 degrees

Step-by-step explanation:

The total degree of a triangle is 180. Since it is a right angle, one of the angles is 90 degrees. The equation is, 36+90+x=180. You should then get 54 degrees.

Answer:

There were 80 pieces of colored paper in the package.

Step-by-step explanation:

Given that a package of colored paper contains 20 pieces of yellow paper, and this represents 25% of the total pieces of colored paper in the package, to determine how many total pieces of colored paper are in the package, the following calculation must be performed:

25 = 20

100 = X

100 x 20/25 = X

2,000 / 25 = X

80 = X

Therefore, there were 80 pieces of colored paper in the package.

Answer:

Answer:

A. 6%

Step-by-step explanation:

The is no step by step explanation sadly

Answer:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

Step-by-step explanation:

Answer:

SA = 2(Area of Trapezoid) + 2(Area of Rectangle) + Area of Base + Area of Top

SA = 2 ( 10cm + 6cm)(7cm) + 2(16cm x 8cm) + (16cm x 10cm) + (16cm x 8cm)

                        2

SA = 112 cm2 + 256 cm2 + 160 cm2 + 128 cm2

SA = 656 cm2 wrapping paper you need

∠1 and ∠2 are equal angles as the lie on same side of transversal, are on parallel lines and are corresponding to each other

thank you

Answer:

0-6 de correct answer okay.

At x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a graph of function g(x)

[tex]\rm \lim_{x \to a}g(x)[/tex]

Let's check at x = -3

Finding the left-hand limit and right-hand limit.

[tex]\rm \lim_{x \to -3^{-1}}g(x) = -2[/tex]

[tex]\rm \lim_{x \to -3^{+1}}g(x) = -4[/tex]

Since the left-hand limit and right-hand limit are not equal then at x = -3 the limit does not exist.

Thus, at x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.

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Answer:

4.5

Step-by-step explanation:

The equation of an area of a circle is A=πr² where r is the radius.

The radius is also half the diameter. So the radius of the quarter is 1.2

A=π(1.2)²

A=π(1.44)

A=4.52389

Answer:

4.5 answer is on the picture below. :) Thank you!

Step-by-step explanation:

Proof...

Answer:B

Step-by-step explanation:

The graph of g(x) is the graph of f(x) shifted to the left 6 units. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Consider the function f(x)= 10ˣ and the function g(x), which is shown below.

g(x)= f(x - 6) = 10⁽ˣ⁻⁶⁾

If we subtract any constant from the variable then the function gets shifted toward the left by constant units.

Similarly, 6 is subtracted from the variable then the function gets shifted toward the left by 6 units.

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