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emmasim [6.3K]
3 years ago
10

Multiply. 5/7×42 Need awnser ASAP Plz & Thx

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
8 0
The answer is 30 you just divide and then multiply
Volgvan3 years ago
4 0
1/7 * 42/1

5 * 42 = 210

7 * 1 = 7

210/7 = 30

30
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If the number of defects found is more than one standard deviation above the mean, the manufacturing facility needs to recalibra
Sliva [168]

Answer:

16% probability that the facility needs to recalibrate their machines.

Step-by-step explanation:

We have to use the Empirical Rule to solve this problem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

What is the probability that the facility needs to recalibrate their machines?

They will have to recalibrate if the number of defects is more than one standard deviation above the mean.

We know that by the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% is more than 1 standard deviation from the mean. Since the normal distribution is symmetric, of those 32%, 16% are more than one standard deviation below the mean, and 16% are more than one standard deviation above the mean.

So there is a 16% probability that the facility needs to recalibrate their machines.

7 0
4 years ago
A Car Salesman sold $450000.00 in cars for the month of July.
Lesechka [4]

Answer:

$28,500

Step-by-step explanation:

$6,000 + 5% of $450,000 =

= $6,000 + 0.05 * $450,000

= $6,000 + $22,500

= $28,500

4 0
3 years ago
Read 2 more answers
Mathematics achievement test scores for 300 students were found to have a mean and a variance equal to 600 and 3600, respectivel
Zina [86]

Answer:

(a) Approximately 205 students scored between 540 and 660.

(b) Approximately 287 students scored between 480 and 720.

Step-by-step explanation:

A mound-shaped distribution is a normal distribution since the shape of a normal curve is mound-shaped.

Let <em>X</em> = test score of a student.

It is provided that X\sim N(\mu = 600, \sigma^{2} = 3600).

(a)

The probability of scores between 540 and 660 as follows:

P(540\leq X\leq 660)=P(\frac{540-600}{\sqrt{3600} }\leq \frac{X-600}{\sqrt{3600} }\leq \frac{660-600}{\sqrt{3600} })\\=P(-1 \leq Z\leq 1)\\= P(Z\leq 1)-P(Z\leq -1)\\=0.8413-0.1587\\=0.6826

Use the standard normal table for the probabilities.

The number of students who scored between 540 and 660 is:

300 × 0.6826 = 204.78 ≈ 205

Thus, approximately 205 students scored between 540 and 660.

(b)

The probability of scores between 480 and 720 as follows:

P(480\leq X\leq 720)=P(\frac{480-600}{\sqrt{3600} }\leq \frac{X-600}{\sqrt{3600} }\leq \frac{720-600}{\sqrt{3600} })\\=P(-2 \leq Z\leq 2)\\= P(Z\leq 2)-P(Z\leq -2)\\=0.9772-0.0228\\=0.9544

Use the standard normal table for the probabilities.

The number of students who scored between 480 and 720 is:

300 × 0.9544 = 286.32 ≈ 287

Thus, approximately 287 students scored between 480 and 720.

3 0
3 years ago
What is the area of a triangle whose vertices are X(1, 1), Y(3, -1), and Z(4,4)?
shepuryov [24]

Answer:

Step-by-step explanation:

Note that in this diagram, point A represents point X, point B represents point Y, and point C represents point Z.

From the diagram, it appears as if \overline{XZ} \perp \overline{XY}. To determine if this is the case, we can find the slopes of both segments.

m_{\overline{XZ}}=\frac{4-1}{4-1}=1\\m_{\overline{XY}}=\frac{-1-1}{3-1}=-1

Since these slopes are negative reciprocals, we know that they are perpendicular.

This means we can use the formula A=\frac{1}{2}bh, where b is the base (XY) and h is the height (XZ).

  • Note these are interchangeable.

Using the distance formula,

XY=\sqrt{(3-1)^{2}+(-1-1)^{2}}=2\sqrt{2}\\XZ=\sqrt{(4-1)^{2}+(4-1)^{2}}=3\sqrt{2}

This means the area is \frac{1}{2}(2\sqrt{2})(3\sqrt{2})=\boxed{6}

7 0
2 years ago
Can y’all please help me with the rest of these ?
Anna35 [415]
Here u go, I left the bottom boxes so u could have some practice :)

8 0
4 years ago
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