Helps with algebra worksheet

Mathematics

1 answer:

Ray Of Light [21]3 years ago

6 0

Answer:1 a 6x

b (x+4)(3x+2)

c xy(14+y³-4xy)/2

I have only done the first 3 I hope it helps

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Solve the inequation : 2(3-4x) + 3 < 49

Iteru [2.4K]

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8 0

3 years ago

what is the probability of rolling 6 five times in a row? Write your answer as a fraction in simplest form.

qaws [65]

Answer:

1/7776.

Step-by-step explanation:

The probability of rolling a six in 1 throw = 1/6.

Rolling a 6 5 times in a row = (1/6)^5

= 1/7776.

The probability is multiplied because each roll is independent from other rolls.

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3 years ago

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What percent of a foot is 8 inches? Show your work.

BaLLatris [955]

Answer:

66.67%

Step-by-step explanation:

We know that a foot is equal to 12 inches.

First, we write it in the form of a fraction.

8 inches of a foot = 8/12

Then we simplify the fraction.

8/12 = 2/3

After that, to write the number in percentage form, we need to multiply the fraction by 100%.

2/3 x 100% = 66.67% (Nearest hundredth)

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4 years ago

Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o

kaheart [24]

Answer:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . We need to calculate the degrees of freedom are given by: