Factor completely 4x2 − 32.

Mathematics

2 answers:

Elena-2011 [213]3 years ago

4 0

Answer:

Step-by-step explanation:

Korvikt [17]3 years ago

3 0

Answer: 4(x + 4)(x - 4)

Step-by-step explanation:

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Each face of a six-sided cube is painted a different color. The cube is rolled twice and a coin is flipped. How many different p

Vaselesa [24]

Answer:

Step-by-step explanation:

There are 6 possible outcomes for the first roll, 6 possible outcomes for the second roll, and 2 possible outcomes for the coin flip. Since all of the events are independent, you can simply multiply these together to get a total of 72 outcomes. Hope this helps!

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3 years ago

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A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the

Anni [7]

Answer:

$8.68,13.16$

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

$\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92$

Standard deviation of the sample is,

$\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6$

The confidence interval will be,

$=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}$

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

$=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}$

$=10.92 \pm 2.24$

$=8.68,13.16$

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

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3 years ago

Solve the formula A=10+ry. solve for y

noname [10]

The given formula $A= 10 + ry$