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2 years ago

15

Write an equation for the relationship between the number of cups of blue paint, x, and the number of cups of red paint, y in th

e table in #3.
Hint: Use the formula y = kx

2 answers:

Alla [95]2 years ago

8 0

Answer:

Step-by-step explanation:

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.

kramer2 years ago

4 0

Write an equation for the relationship between the number of cups of blue paint, x, and the number of cups of red paint, y in the table in #3.
Hint: Use the formula y = kx

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A rectangular picture has dimensions of 8 in by 12 in this picture is placed in a picture frame with thick border to Listen to B

rosijanka [135]

Answer: 6

Step-by-step explanation:

4 0

2 years ago

Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

3 years ago

What is. <br> m + 0.6 = 2.6

professor190 [17]

Answer:

m=2

Step-by-step explanation:

STEP 1 : m+0.6=2.6

move constant to the right-hand side and change it's sign m=2.6-0.6

STEP 1: m=2.6-0.6

subtract the numbers m=2

5 0

2 years ago

irina [24]

Take the longer leg length as $x$

$(x-8)^2+x^2=(x+8)^2 \\ \\ x^2-16x+64+x^2=x^2+16x+64 \\ \\ x^2-32x=0$

Use the formular
$x={ \frac{-b+ \sqrt{ b^2-4ac}}{2a} } \\ \\ x={ \frac{32+32}{2} } \\ \\ x=32$

∴ shorter leg = 32 - 8 = 24ft
longer leg = 32ft
hypotenuse = 32 + 8 = 40ft

8 0

3 years ago

Please answer see the image below

fredd [130]

Answer:

<h2>64.8</h2><h2></h2>

Step-by-step explanation:

total area = rectangle + semi circle

= (11 x 5) + (1/2 * π * 2.5²)

= 55 + 9.8

= 64.8 sq. units

5 0

2 years ago

Read 2 more answers