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eimsori [14]
2 years ago
11

2. You may submit your answer to question l in essay form here.

Mathematics
1 answer:
AlexFokin [52]2 years ago
4 0

Answer:

I hope this helps

Step-by-step explanation:

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Twenty-eight students reported how many email accounts they have. The dot plot below shows the data collected: A dot plot is sho
lisov135 [29]
I have attached a picture of the dot plot that you described.  Each dot on the number line represents one answer.  So, the number of dots above the number 4 tells us that there were 6 students who have 4 email accounts.

The answer is that <span>There are exactly 6 students with 4 email accounts.</span>

6 0
2 years ago
A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?
nata0808 [166]

Answer: a. 90°


Step-by-step explanation:

We know that the in a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.

In the problem∠XYZ is the inscribed angle

∠XYZ=\frac{1}{2}\ arc(XZ)

⇒ ∠XYZ=\frac{1}{2}\angle{XZ}

Since XZ is a diameter of the circle which is a line segment, thus ∠XZ=180°

∴ ∠XYZ=\frac{1}{2}180^{\circ}=90^{\circ}

∴ ∠XYZ=90^{\circ}

Therefore, a. 90° is the measure of ∠XYZ.


6 0
3 years ago
Read 2 more answers
Rectangle A is a scaled version of rectangle B. The dimensions of rectangle A are three times the dimensions of rectangle B. The
Firlakuza [10]

Answer:

1458 sq cm

Step-by-step explanation:

because each dimension of A is 3 tomes each dimension of B, that will mean that both the length and width of B are multiplied by 3 in order to get the length and width of A, so the area of B is length×width=162 and the area of A (in terms of B's dimensions) is 3xlength×3×width=9×length×width=9×162=1458 sq cm

7 0
3 years ago
What is the approximate volume of the sphere?
Vinvika [58]
C. 523.33

the formula is 4/3*3.14*r^3
R being radius (:
4 0
3 years ago
Read 2 more answers
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil
Debora [2.8K]

Answer:

statistic value t= 5.43

p-value: < 0.00001.

Step-by-step explanation:

Hello!

To obtain information over the corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.

The study variable is:

X: Max. penetration of a steel conduit.

The data of the sample

n= 45

sample mean X[bar]= 53.4

sample standard deviation S= 4.2

The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50

The hypothesis is:

H₀: μ ≤ 50

H₁: μ > 50

α: 0.05

To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.

Under the null hypothesis, the critical region and the p-value are one-tailed.

Critical value:

t_{n-1; 1-\alpha } = t_{44; 0.95} = 1.68

Rejection rule:

Reject the null hypothesis when t ≥ 1.68

t= \frac{53.4 - 50}{\frac{4.2}{\sqrt{45} } }

t= 5.43

The calculated value is greater than the critical value, thedecision is to rject the null hypothesis.

p-value:

P(t ≥ 5.43) = 1 - P(t < 5.43) = < 0.00001.

The p-value is less than α so the decision is to reject the null hypothesis.

Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.

I hope it helps!

4 0
3 years ago
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