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snow_tiger [21]

3 years ago

15

Paul invited 221 people to a party. All but 33 people accepted. All but 4 of those who accepted actually attended. Half of the p

eople who attended brought a friend.
How many people came to the party?

Explain.

1 answer:

poizon [28]3 years ago

6 0

Answer: 426

Step-by-step explanation:

221 - 33 = 288

288 - 4 = 284

284 / 2 = 142

284 + 142 = 426

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Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar

Tom [10]

Answer: One sample z test for means

Step-by-step explanation:

From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula

z = (x - µ)/σ

Where

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µ = population mean

σ = population standard deviation

The probability value would be determined from the normal distribution table.

Therefore, the hypothesis test that should be used is

One sample z test for means

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3 years ago

Which value for x makes the sentence true? 1/10 + x = 1/7

alexandr1967 [171]

Answer:

3/70

Step-by-step explanation:

change 1/10 and 1/7 so the denominator (bottom number) is the same. 1/10= 7/70 and 1/7= 10/70 so you need 3/70 to make the two numbers equal.

6 0

3 years ago

The smallest object visible with your eyes is similar to the width of a piece of hair, which is 1×10−4 meters wide. Using an opt

Sloan [31]

Answer:

B. $5\times10^{2}$

Step-by-step explanation:

We are told that the smallest object visible with our eyes is similar to the width of a piece of hair, which is $1\times 10^{-4}$ meters wide.

Using an optical microscope, we can see items up to $2\times 10^{-7}$ meters wide.

To find the objects we can see with our eyes are how much larger than the objects we can see with an optical microscope, we can set an equation as:

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=\frac{1*10^{-4}}{2*10^{-7}}$

Using the exponent rule of quotient $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=\frac{1}{2}*10^{-4-(-7)}$

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10^{-4+7}$

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10^{3}$

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10\times 10^{3-1}$

$\text{The object we can see with our eyes}=5\times10^{2}*\text{The objects we can see with microscope}$

Therefore, the objects we can see with our eyes are $5\times10^{2}$ times larger than the objects we can see with an optical microscope and option B is the correct choice.

3 0

3 years ago

Express log2 6 + log2 7 as a single logarithm. A. log2 42 B. log2 √ 42 C. log2 7/6 D. log2 6/7

never [62]

Answer:

A. $\log _2\left(6\right)+\log _2\left(7\right)=\log _2\left(42\right)$

Step-by-step explanation:

To express $\log _2\left(6\right)+\log _2\left(7\right)$ as a single logarithm you must apply the log rule:

$\log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)$

So,

$\log _2\left(6\right)+\log _2\left(7\right)=\log _2\left(6\cdot \:7\right)$

Multiply the numbers: $6\cdot \:7=42$

$\log _2\left(6\right)+\log _2\left(7\right)=\log _2\left(42\right)$

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3 years ago

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Akimi4 [234]

Is there any other information behind this problem?

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3 years ago