Which expression is equivalent to 32 x 36?

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

C. $3^{6}$

Step-by-step explanation:

Based on the Indice Law:

$x^{n}$ × $x^{m}$ = $x^{n+m}$

3² × $3^{6}$ = $3^{2+6}$

= $3^{8}$

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What is the slope?

Pavlova-9 [17]

Answer:5/3

Step-by-step explanation:

choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3

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3 years ago

a building with a height of 32m casts a shadow that is 20m long. a person standing casts a shadow that is 1.2 m long how tall is

wlad13 [49]

Most of the information's required for solving the question is already given in the question.
Height of the building that casts a shadow of 20 m = 32 m
Then
Height of the man that casts a shadow of 1.2 m = (32/20) * 1.2 meter
= 3.2 * 1.2 meter
= 3.84 meter
So the actual height of the person casting a shadow of 1.2 meter is 3.84 meters. I hope that the procedure used for solving the problem is easy enough for you to understand. You can definitely use this method in future for solving problems of similar type without requiring any additional help from outside.

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4 years ago

An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level