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3 years ago

24+z/10 = 31 solve for Z

Mathematics

1 answer:

cestrela7 [59]3 years ago

4 0

Z=70

Simplify both sides of the equation
Subtract 24 from both sides
Multiple both sides by 10

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Elena is 56 inches tall. What is her height in centimeters? (Note: 100 inches = 254 centimeters) What is her height in meters?

LUCKY_DIMON [66]

Answer:

142.24cm

Step-by-step explanation:

If 100 inches = 254cm then if you do 254/100 you will get how many cm are in an inch. 254/100 = 2.54

This means there are 2.54 cm in an inch. Multiply 2.54cm by 56 inches and you get how many cm are in 56 inches which is 142.24cm. This means Elena is 142.24 cm tall.

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4 years ago

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If A)8/17 B)8/15 C)15/17 D)15/8

aalyn [17]

Answer:

d) 15/8

Step-by-step explanation:

tgB = AC/AB = 15/8

The tangent of an angle is the length of the opposite side (AC) divided by the length of the adjacent side (AB).

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3 years ago

A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. a) E

polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) $\alpha =1-0.98=0.02$

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

$p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02$

So, replacing the values we get:

$0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438$

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence $1-\alpha$ is equal to 98%

It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

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3 years ago

Which of the following is an equivalent representation of 5^-4 ? 1/81 1/12 1/9 1/625

Mademuasel [1]

Answer:

It would be 1/625

Step-by-step explanation:

5^-4=0.0016

0.0016 as a fraction is 1/625

Hope this helps! :)

3 0

3 years ago

Tina bought 3 1/2 pounds of turkey and 2 1/4 pounds of cheese she. Used 1 1/2 pounds of cheese to make macaroni and cheese how m

muminat

Answer:6/8 pounds

Step-by-step explanation:

2 1/4 - 1 1/2

- 2 times 4 plus 1 = 9/4

- 1 times 2 plus 1 = 3/2

9/4 - 3/2

-to subtract your fraction, you need to have the same denominator in each side

- 4 times 2 = 8 (this is your denominator)

- 4 times 3 = 12 (your right numerator)

- 2 times 9 = 18 (your left numerator)

18/8 - 12/8 = 6/8

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2 years ago

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