The regression analysis gives the equation
GPA = -1.262 + 0.00214(SAT)

Answer:

D

Step-by-step explanation:

The amount he is expected to have due to interest in the bank after a year is; $2603.16

We are given the equation;

w²/25 + 45w + 155

where;

w is number of weeks

Now, this equation above represents the function of the amount he is expected to have due to interest in the bank. Thus;

After 1 year, the number of weeks is 52 weeks. Thus, we now have;

A(52) = 52²/25 + 45(52) + 155

A(52) = $2603.16

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Answer:

Yes.

Step-by-step explanation:

The triangles are congruent.

Mrs. Wu initially had $1062.40.

Let's break down the given information step by step:

1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.

  Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.

2. The dress cost 3 times as much as each blouse.

  Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.

3. Mrs. Wu spent 3/4 of her remaining money on a watch.

  After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.

4. She spent $220.50 more on the watch than on the dress.

  The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.

To find the value of M, we can set up an equation:

(15/24)M - (1/6)M = $220.50

Simplifying the equation:

(15/24 - 1/6)M = $220.50

(5/24)M = $220.50

Multiplying both sides by (24/5):

M = $220.50 * (24/5)

M = $1062.40

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The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer:

3.0

Step-by-step explanation:

5.8-2.6=3.2 simplified 3.0

Answer:

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

Step-by-step explanation:

Given that:

X1 = 60 chairs ; y1 = 2400

X2 = 260 chairs ; y2 = 4800

Obtain the slope ; m

m = y2 - y1 / x2 - x1

m = 4800 - 2400 / 260 - 60

m = 2400 / 200

m = 12

Using the point slope relation:

y - y1 = m(x - x1)

y - 2400 = 12(x - 60)

y - 2400 = 12x - 720

y = 12x - 720 + 2400

y = 12x + 1680

C(x) = 12x + 1680

From the general slope intercept equation :

y = mx + c

m = slope ; c = intercept

Hence,

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.

\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)

[ sin 45° = 1/√2 ]

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)

\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)

So, the side HG is b√2 cm long

i certify this question as an official h moment

Note that the value of C that satisfies the mean value theorem is -11/6

The mean value theorem in mathematics says that for each given planar arc between two end points, there exists at least 1   point where the tangent to the arc   is parallel to the secant between its ends. It is one of the most significant findings in real -  world analysis.

To apply the mean value theorem, we need to check 2 conditions

f(x) is continuous on [-3, -1]

f(x) is differentiable on (-3, -1)

f(x) = (x^2-1/3x) satisfies both conditions.

Now, let's find the value of c that satisfies the mean value theorem:

f(-1) - f(-3) = f'(c)(-1 - (-3))

(2/3) - (-26/3) = f'(c)(2)

f'(c) = -4

To find the value of c, we need to solve for c in f'(c) = -4 ...  

f '(x) = d/d x(x²  -1/3x)

= 2x - 1/3

2c - 1/3 = -4

2c = -4 + 1/3

c = -11/6

So we can state that  the value of c that satisfies the mean value theorem is -11/6

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Answer:

Angle 2

Step-by-step explanation:

Find S and find X.

Then find U.

The angle at X connected to S and U is the angle number.

The correct options include:

b. In the fifth year Mariah's balance will be higher than Colton's

c. Mariahs beginning balance was 400 and coltons beginning balance was 500.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, from the table

(0, 500), (1, 550), (2, 600), (3, 650) and (4, 700)

The equations for the given points is y=500+50t

Put t=0, 1, 2, 3, 4 in f(t)=400(1.15)t

When t=0, f(0)=$0

When t=1,

f(1)=400×1.15×1

= $460

When t=2,

f(2)=400×1.15×2

= $920

When t=3,

f(3)=400×1.15×3

= $1380

When t=4,

f(4)=400×1.15×4

= $1840

Fifth year:

The balance in Mariah account is

f(t)=400(1.15)t

⇒ f(5)=400×1.15×5

= $2300

The balance in Colton account is

y=500+50t

⇒ y=500+50(5)

= $750

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If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Answer:

x = 134°

Step-by-step explanation:

Let

\(\angle A=64^{\circ}\\\\\angle B =70^{\circ}\)

We need to find the value of x.

We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,

\(x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}\)

Hence, the value of x is 134°

Answer:

Step-by-step explanation:

If one basket is selected at random, the probability that both are mangoes is; 1/10

Contents of first basket;

3 mangoes

4 oranges

3 apples

Contents of second basket;

5 mangoes.

5 oranges.

5 apples.

Probability of mango in first basket is = 3/10

Probability of mango in second basket is = 5/15

Thus;

Probability that both are mangoes = (3/10) * (5/15)

Probability that both are mangoes = 1/10

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The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

Parallelogram

Step-by-step explanation:

if you have a graphing paper and locate the points and after locating the points, connect it, you then have a parallelogram

Answer:

b,d

Step-by-step explanation:

The length of arc RS on circle X is 17.99 centimeters.

To find the length of arc RS on circle X, we need to calculate the circumference of the entire circle and then determine what portion of the circumference is represented by the central angle of 110 degrees.

The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius of circle X is 9 centimeters, so the circumference is C = 2π(9) = 18π centimeters.

To find the length of arc RS, we need to determine what fraction of the entire circumference is represented by the central angle of 110 degrees. A full circle has 360 degrees, so the fraction of the circumference represented by the central angle is 110/360.

To find the length of arc RS, we multiply the fraction of the circumference by the total circumference of the circle. Therefore, the length of arc RS is (110/360) * 18π.

Simplifying the expression, we have (110/360) * 18π = (11/36) * 18π.

Canceling out the common factors, (11/36) * 18π = (11/2)π.

Now, we can approximate the value of π as 3.14. Therefore, the length of arc RS is (11/2) * 3.14.

Calculating the approximate value, we have (11/2) * 3.14 ≈ 17.99 centimeters.

Therefore, the approximate length of arc RS on circle X is approximately 17.99 centimeters.

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Answer:

about 70 inches

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

5(12)+10= 70 inches

if my answer helps please mark as brainliest.

Answer: 4000

Step-by-step explanation:

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

The sample size and sample proportion have a substantial impact on whether a sample proportion shows significance, while the number of simulated samples plays a lesser role, as long as an adequate number of simulations are performed (such as 5,000 or more).

To find the p-value using StatKey with at least 5,000 simulated samples and determine whether there is evidence that the coin is biased at a 5% significance level, follow these steps:

1. Determine the sample size (n), sample proportion (p), and number of simulated samples (at least 5,000).

2. Use StatKey to perform the simulation. Input the sample size, sample proportion, and number of simulated samples in the randomization distribution settings.

3. Obtain the p-value from the output generated by StatKey. The p-value represents the proportion of simulated samples with a sample proportion as extreme or more extreme than the observed one.

4. Compare the p-value with the 5% significance level. If the p-value is less than or equal to 0.05, there is evidence that the coin is biased, and you reject the null hypothesis. If the p-value is greater than 0.05, there is not enough evidence to suggest the coin is biased, and you fail to reject the null hypothesis.

Now, let's consider each factor's impact on whether a sample proportion shows significance:

1. The sample size: A larger sample size increases the power of the test and makes it more likely to detect a significant effect if one exists. Smaller sample sizes may not provide enough information to accurately assess whether the coin is biased or not.

2. The sample proportion: A sample proportion farther from the expected value (0.5 for a fair coin) makes it more likely to find significance, as the difference between the observed proportion and the expected proportion is larger.

3. The number of simulated samples in the randomization distribution: Using a larger number of simulated samples increases the accuracy of the p-value estimate. However, once a certain threshold is reached (e.g., 5,000 samples), additional simulations have diminishing returns and do not significantly impact the p-value or the test's conclusions.
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Hence, the fractuon of the animals at the zoo are elephants is \(\frac{7}{12}\).

What is the fraction?

A fraction defined as the part of the whole thing.

Fractions help to distribute and judge the numbers easily and make the calculation faster.

Here given that,

At the zoo \(\frac{1}{3}\) of the animals are mammals \(\frac{1}4}\) of the mammals are elephants.

So, the fraction of the animals at the zoo are elephants is

\(\frac{1}3}+\frac{1}{4}=\frac{4+3}{12}\\\\=\frac{7}{12}\)

Hence, the fractuon of the animals at the zoo are elephants is \(\frac{7}{12}\).

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Answer:

15 tenth graders

Step-by-step explanation:

we can see that dogs take up 1/2 of the graph

birds take up 1/2 of 1/2 so they take up 1/4

other and cats together take up 1/4 of the graph which is 1/8 for each

you must add dogs and cats together and then multiply it bu 24

1/2 + 1/8

4/8 + 1/8 = 5/8

now multiply that by 24

24 * 5/8

\(\frac{24}{1} * \frac{5}{8} = \frac{3}{1} * \frac{5}{1} =15\)

that is the answer