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viktelen [127]
3 years ago
15

The perimeter of the rectangle shown below is 24 feet. What's the length of side x?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

b)4feet

Step-by-step explanation:

In a rectangle two sides are equal.

Perimeter is the distance around the rectangle thus.

length=24-8-4-8

length=4

You might be interested in
A) Two angles are adjacent if their measures add up to 90°.
slavikrds [6]

Answer:

A) False

B) False

Step-by-step explanation:

A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.

B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to 180^{o}. Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.

4 0
2 years ago
A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st
ss7ja [257]

Answer:

Step-by-step explanation:

Hello!

The researcher wants to test if the valve plates manufactured have the expected tensile strength of 5 lbs/mm. So he took a sample of 42 valve plates and measured their tensile strength, obtaining a sample mean of X[bar]= 5.0611 lbs/mm and a sample standard deviation of S=0.2803 lbs/mm.

The study variable is:

X: tensile strength of a valve plate (lbs/mm)

The parameter of interest is the mean tensile strength of the valve plates, μ.

If the claim is that the valve plates of the sample have on average tensile strength of 5 lbs/mm, symbolically: μ = 5

a) The statistic hypotheses are:

H₀: μ = 5

H₁: μ ≠ 5

b) To determine the critical values and rejection region of a hypothesis test you need three to determine three factors of the hypothesis test:

1) The statistical hypothesis.

2) The significance level.

3) The statistic to use for the analysis.

The statistic hypothesis determines the number of critical values and the direction of the rejection region, in this case, the test is two-tailed you will have two critical values and the rejection region will be divided into two.

With the statistic, you will determine the distribution under which you will work and the significance level determines the probability of rejecting the null hypothesis.

To study the population mean you need that the variable of interest has at least a normal distribution, there is no information about the distribution of the study variable but the sample size is large enough n≥30, so you can apply the central limit theorem to approximate the distribution of the sample mean to normal: X[bar]≈N(μ;σ²/n)

Thanks to this approximation it is valid to use an approximation of the standard normal distribution for the test:

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } }≈N(0;1)

The critical values are:

Z_{\alpha /2}= Z_{0.05}= -1.648

Z_{1-\alpha /2}= Z_{0.95}= 1.648

You will reject the null hypothesis if Z_{H_0}≤-1.648 or if Z_{H_0}≥1.648

You will not reject the null hypothesis if -1.648<Z_{H_0}<1.648

c)

Z_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } }=  \frac{5.0611-5}{\frac{0.2803}{\sqrt{42} } }= 1.41

d) The value of the statistic is between the two critical values so the decision is to not reject the null hypothesis. Then using a significance level of 10% there is no significant evidence to reject the null hypothesis so the valve plates have on average tensile strength of 5 lbs/mm.

e) The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis). If the test is two-tailed, so is the p-value, you can calculate it as:

P(Z≤-1.41) + P(Z≥1.41)= P(Z≤-1.41) + (1 - P(Z≤1.41))= 0.079 + ( 1 - 0.921)= 0.158

p-value: 0.158

I hope it helps!

5 0
3 years ago
Answer to the best of your ability
FromTheMoon [43]
Y=x+3 is the answer. I'm always here if you need more help.
7 0
3 years ago
Read 2 more answers
Which of these shapes are congruent
Mademuasel [1]

Answer:

Option A is probably the answer

If you have any question please contact me

8 0
1 year ago
Read 2 more answers
The probability that event A occurs is 57 and the probability that event B occurs is 23 . If A and B are independent events, wha
adelina 88 [10]

Answer:

<h2>\frac{1}{1311}</h2>

Step-by-step explanation:

The probability of occurring the event A is \frac{1}{57}.

The probability to occur the event B is \frac{1}{23}.

It is also given that the events are independent that is they do not depends on each other.

So, the probability of occurring both the events simultaneously can be get by simply multiplying the probabilities of both the events.

Hence, the probability is \frac{1}{[tex]57times23}[/tex] = \frac{1}{1311}.

3 0
3 years ago
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