There are 8 apples and 12 bananas in a fruit basket. what is the ratio of bananas to apples?

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W

lesya692 [45]

Answer:

A)segment A"B"= AB / 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?

coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)

A)segment A"B"= AB / 2

B)segment AB = segment A"B"/ 2

C)segment AB / segment A"B"= 1/2

D)segment A"B" / segment AB = 2

A"B" = AB / 2

Because

1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB

2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).

Therefore A"B" = (1/2)AB, or AB/2.

4 0

3 years ago

Graph g(x) = x2 +2 Compare the graph to the graph of f(x) = x2.

Olegator [25]

Step-by-step explanation: Remember that the parent graph f(x) = x², is a parabola that opens up and passes through the origin.

Notice that g(x) = x² + 2 has 2 added to the parent term.

This means that g(x) = x² + 2 is the graph of f(x) = x² translated two units up.

5 0

2 years ago

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

Olenka [21]

Answer:

a

The 90% confidence interval that estimate the true proportion of students who receive financial aid is

$0.533 < p < 0.64$

b

$n = 1789$

Step-by-step explanation:

Considering question a

From the question we are told that

The sample size is n = 200

The number of student that receives financial aid is $k = 118$

Generally the sample proportion is

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{118}{200}$

=> $\^ p = 0.59$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.645 * \sqrt{\frac{0.59 (1- 0.59)}{200} }$

=> $E = 0.057$

Generally 90% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.533 < p < 0.64$

Considering question b

From the question we are told that

The margin of error is E = 0.03

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the sample size is mathematically represented as

$[\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{2.58}{0.03} ]^2 * 0.59 (1 - 0.59 )$

=> $n = 1789$

8 0

3 years ago

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function C(x) = 180 + 8x. The

alexdok [17]

Answer:

The correct answer would be, No of bracelets the company must sell to break even would be 15

Step-by-step explanation:

Revenue is given by the function as:

R(x) = 20x

and Cost is given by the function as:

C(x) = 180 + 8x

Let the function P(x) represent the profit earned.

We know that Profit is equal to Revenue - Cost

i-e

Profit = Revenue - Cost

So,

P(x) = R(x) - C(x)

Now substituting the Revenue and cost values in the above equation.

P(x) = 20x - (180 + 8x)

P(x) = 20x -180 -8x

P(x) = 20x - 8x -180

P(x) = 12x - 180

Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:

0 = 12x - 180

12x = 180

x = 180/12

x = 15

So the break even point will be 15 bracelets.

8 0

3 years ago

Solve the following expression when<br> f = 3<br> 7 + 4 + f2 - 5f + 2

qaws [65]

7 + 4 + f^2 - 5f + 2 = 13 + 3^2 - 5(3) = 13 + 9 + 15 = 28 + 9 = 37

8 0

3 years ago

Read 2 more answers