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2 years ago

Which type of transformation or sequence of transformations will map the preimage ∆ABC onto image ∆A'B'C'?

Mathematics

1 answer:

ollegr [7]2 years ago

3 0

The transformation is a reflection with x-axis as the axis of reflection. Reflection is a type of transformation in which the transformed image is simply a mirror image of the original shape over a line or axis of reflection.

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The prices of three t-shirts styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of c

Slav-nsk [51]

$\text{Answer} : \text{The expected value of a t-shirt is \$31.}$

Explanation:

Since we have given that

The prices of three t-shirts styles i.e $24, $30, $36 with their probability is given by

$\frac{1}{6}, \frac{1}{2},\frac{1}{3}$

As we know that,

$E(X)= \sum_{1}^{3}x_iP(x_i)$

$\text{where} x_i \text{ is the prices of t- shirts styles}$

Now,

$x_1= \$24 , x_2=\$30 , x_3=$36$

and

$P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}$

So,

$E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31$

So, the expected value of a t-shirt = $31.

4 0

2 years ago

Explain how you used the bar model in exercise 2 to solve the problem

lutik1710 [3]

We are given that Grandma has 14 red roses and 7 pink roses.

In order to represent them on bar modal, we need to make a bar with 14 identical sections for 14 red roses.

And for pink roses, we need to make a bar with 7 identical sections for 7 pink roses.

<em>From the bar graph, we can see that bar for red roses have 7 more boxes than bar of pink roses.</em>

<h3>Therefore, she have 7 more red roses than pink roses.</h3>

3 0

2 years ago

The ratio of the lengths of corresponding parts in two similar solids is 5:1,

vlabodo [156]

The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
r = (5:1)^1
r = 25:1

Thus, the ratio of the surface areas of the similar solids is 25:1.

7 0

2 years ago

Read 2 more answers

Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection

makvit [3.9K]

Answer:

The probability that her internet service will not be broken for five days in a row is 243/1024

Step-by-step explanation:

Here, we want to calculate the probability that her internet service is not broken for five days in a row

Let the event that her internet will be broken be B and the event that her internet will not be broken be N

P(B ) = 25% = 0.25

P(N) = 1-0.25 = 0.75 = 3/4

Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)

= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024

3 0

2 years ago

What are the solutions of the compound inequality 2d + 3 ≤ –11 or 3d – 9 > 15?

pentagon [3]

Step-by-step explanation:

$2d + 3 \leqslant - 11 \\ 2d \leqslant - 11 - 3 \\ 2d \leqslant - 14 \\ \frac{2d}{2} \leqslant \frac{ - 14}{2} \\ d \leqslant - 7$

$3d - 9 > 15 \\ 3d > 15 + 9 \\ 3d > 24 \\ \frac{3d}{3} > \frac{24}{3} \\ d = 8$

Welcome

3 0

2 years ago