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2 years ago

If y=22, find m,angle C 44 68 136 60

Mathematics

1 answer:

Scrat [10]2 years ago

4 0

ΔABC is an isosceles triangle therefore ∡B = ∡C.

ΔDCA is a rectangular triangle therefore ∡y + ∡C = 90°

22° + ∡C = 90° |subtract 22° from both sides

∡C = 68°

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A consumer believes that a certain potato chip maker is putting fewer chips in their regular bags of chips than the advertised a

dybincka [34]

Answer:

a) No

b) No

c) P value is more than 0.05.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 12 ounces

Sample size, n = 49

P-value = 0.136

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 12\text{ ounces}\\H_A: \mu < 12\text{ ounces}$

We use One-tailed z test to perform this hypothesis.

a) Alpha, α = 0.05

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

b) Alpha, α = 0.10

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

c) The evidence is statistically significant at the .05 level means that the p value is more than 0.05.

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2 years ago

You want to to buy the PlayStation 5 and it is listed as $449.99 in all the stores

Anna71 [15]

Answer:

Without taxes, the price will be $359.99

Step-by-step explanation:

You take the original price then divide it by ten. Then you multiply that number by 2 to get what 20% of 449.99 is. You then subtract that number from from 449.99. At least I think so. There are other ways to go faster but this is the easiest to understand.

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2 years ago

Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the

Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let X = diameter of bolts.

It is provided that the random variable X follows a Normal distribution with mean, μ = 18 mm and standard deviation, σ = 0.10 mm.

A z-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of z-scores is defined by the Standard Normal distribution.

$Z\sim N(0, 1)$

The formula to compute the z-score is:

$z=\frac{x-\mu}{\sigma}$

The value of the diameter of a bolt is, x = 18.12 mm.

Compute the z-score for this value as follows:

$z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20$

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0

2 years ago

What is the cosine for F? A. 13/12 B. 13/5 C. 12/13 D. 5/13

GalinKa [24]

The cosine for F is A

5 0

2 years ago

Read 2 more answers

Solve |p + 2| = 10Solve |p + 2| = 10 {-12} {-8, 8} {-12, 8}

valentinak56 [21]

By definition, we have

$|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}$

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$

In this case, the absolute value doesn't do anything: the equation is

$p+2 = 10 \iff p = 10-2 = 8$

We are supposing $p \geq -2$ , so we can accept this solution.

Now, suppose that $p+2 < 0 \iff p < -2$ . Now the sign of the expression is flipped by the absolute value, and the equation becomes

$-p-2 = 10 \iff -p = 12 \iff p = -12$

Again, the solution is coherent with the assumption, so we can accept this value as well.

3 0

2 years ago