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2 years ago

14

Use the distributive property to remove the parentheses. 5(8+x)

2 answers:

Elodia [21]2 years ago

6 0

5*8+5x=40+5x
This is the final answer

marshall27 [118]2 years ago

3 0

The answer will be 40+5x. hope this helps

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Jordan’s class has 30 boys. If the students in his class, 60% are girls. How many girls are in Jonathan’s class?

aev [14]

There are 45 girls in Jonathan's class.

4 0

2 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

2 years ago

The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that current

stellarik [79]

Answer:

Population after 4 years = 49 (nearest unit)

Population after 5 years = 47 (nearest unit)

Step-by-step explanation:

Yearly decrease = 4.6%

Decrease factor (what's left) = (100-4.6)% = 0.954

Current population, P = 60

population after n years = P(0.954)^n (to the nearest unit)

Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)

Population after 5 years = 60(0.954)^5 = 47.4 = 47 (nearest unit)

5 0

2 years ago

Read 2 more answers

Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Nitella [24]

Answer:

$x = 6.99in$

Step-by-step explanation:

Given

$l =2in$

$Volume = 72.66in^3$

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

$Base\ Area= \frac{3\sqrt 3}{2} * 4$

$Base\ Area= 3\sqrt 3 * 2$

$Base\ Area= 6\sqrt 3$

Side x represents the height.

So, we have:

$Volume = Base\ Area*x$

Make x the subject

$x = \frac{Volume }{ Base\ Area}$

$x = \frac{72.66in^3}{6\sqrt 3 in^2}$

$x = \frac{72.66}{6\sqrt 3}in$

$x = \frac{12.11}{\sqrt 3}in$

$x = 6.99in$ --- approximated

6 0

2 years ago

Convert the mixed number 31/4 to a percent

Sunny_sXe [5.5K]

Answer:

3 1/4 = 325%

or

31/4ths = 775%

whichever is your intended fraction

Step-by-step explanation:

7 0

2 years ago