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4 years ago

7

The base of a triangular prism is an isosceles right triangle with a hypotenuse of √50 centimeters. The height of the prism is 8

centimeters. Find the surface area of the triangular prism. Round your answer to the nearest tenth.

1 answer:

sp2606 [1]4 years ago

6 0

The answer is you multiply 50 times 8 tgen round it to the nearest tenth then you will get 40.0

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Find the equation of the line graphed below. Write the equation in the form y = mx + b and identify m and b m = b =

Alla [95]

ANSWER:

m = -3/4

b = -3

$y=-\frac{3}{4}x-3$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

We calculate the slope as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

To calculate the slope we use the intercepts that are (-4, 0) and (0, -3), we replace:

$m=\frac{-3-0}{0-(-4)}=\frac{-3}{4}=-\frac{3}{4}$

Now, the value of b would be -3, since the y-intercept is (0,-3), therefore, the equation would be:

$y=-\frac{3}{4}x-3$

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1 year ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

<em>I hope this helps you!</em>

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3 years ago

Jack's father is three times older than Jack. Five years ago, the sum of their ages was 34. How old is Jack's father now?.

Allisa [31]

Answer:

jacks father is x

jack is 3x

34 =

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3 years ago

Vanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum o

hram777 [196]

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

The missing questions are:

<em>Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain. </em>

<em> Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.</em>

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4 years ago

Read 2 more answers

Find the area of this figure

geniusboy [140]

Answer:

29.58 mi²

Step-by-step explanation:

The figure is a trapezium and area can be calculated using the formula

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the parallel bases

here h = 3.4, a = 5.4 and b = 12

A = 0.5 × 3.4(5.4 + 12) = 1.7 × 17.4 = 29.58 mi²

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3 years ago

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