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irina [24]
3 years ago
11

Simplify this expression. (100 + 4z)20

Mathematics
2 answers:
malfutka [58]3 years ago
8 0
2,080 this is what I got
Serga [27]3 years ago
7 0
The answer is 2000+80z
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∠BAD is acute.

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Tank A has a greater volume.

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According to Brad, consumers claim to prefer the brand-name products better than the generics, but they can't even tell which is
max2010maxim [7]

Answer:

a. There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

b. Test statistic z=-1.001

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion that correctly identifies the chip is significantly smaller than 50%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi

The significance level is 0.01.

The sample has a size n=199.

The sample proportion is p=0.462.

p=X/n=92/199=0.462

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{199}}\\\\\\ \sigma_p=\sqrt{0.001256}=0.035

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.462-0.5+0.5/199}{0.035}=\dfrac{-0.035}{0.035}=-1.001

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.16) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

7 0
4 years ago
Simplify the expression: <br>1 – 5b + – b + – 8b – 2b
Vanyuwa [196]

Answer:

The answer is 1 - 16b.

Step-by-step explanation:

You have to collect like-terms :

1 - 5b - b - 8b - 2b

= 1  +  b( - 5 - 1 - 8 - 2)

= 1 + b( - 16)

= 1 - 16b

3 0
3 years ago
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The cost of a Whoppie Burger is $2.75 and a Whoppie Jr. Burger is $1.00. If 32 total burgers are ordered for a class, find the f
Viktor [21]

Answer:

c. C(x) = 88 - 1.75x

Step-by-step explanation:

Let's represent this with an equation. We know that the total number of burgers is 32, and the number of Whoppie Jr. is x, so the number of Whoppie is 32-x.

Each Whoppie costs 2.75, and each Whoppie Jr. costs 1, so multiply the cost by the number to get the equation:

C(x) = 1x + 2.75(32-x)

Now distribute and simplify.

C(x) = 2.75*32 + 1x -2.75x

<u>C(x) = 88 -1.75x</u>

5 0
3 years ago
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