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Anna007 [38]
3 years ago
8

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

Mathematics
2 answers:
eduard3 years ago
5 0
Does it have multiple correct answers?
ycow [4]3 years ago
4 0

The first one and the last one.

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If a jogger runs a 10-kilometer race in 60 minutes, what is her average speed?
STALIN [3.7K]

Answer:

A

Step-by-step explanation:

Speed = distance/ time

=10km/ 1hr(60mins)

= 10km/ 1hr

=10km/hr

3 0
3 years ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard
avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that \mu = 33208, \sigma = 2503.

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when X = 33208+633 = 33841 subtracted by the pvalue of Z when X = 33208 - 633 = 32575

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57

So

X = 33841

Z = \frac{X - \mu}{\sigma}

Z = \frac{33841 - 33208}{357.57}

Z = 1.77

Z = 1.77 has a pvalue of 0.9616

X = 32575

Z = \frac{X - \mu}{\sigma}

Z = \frac{32575- 33208}{357.57}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0
3 years ago
What is the mean?<br> 1 6 1 10 5 5 7
algol13

Answer:

5

Step-by-step explanation:

if u add al of these it equals 35 divided by 7 equals 5

7 0
3 years ago
A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build
Svetlanka [38]
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse 

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x 

x^2+36=100 Square each individual term 

x^2+=100+36 Subtract 36 from both sides 

x^2=64 Combine like terms 

sqrt(2)=sqrt(64) Take the square root of both sides 

x = 8 Simplify the square root 

So our answer is x = 8 
The ladder touches the 8 feet mark on the wall.
5 0
3 years ago
one teacher want to give each student 4/5 of a slice of pizza, if the teacher has 4 slices of pizza, then how many students will
GuDViN [60]

Answer:

The answer is 5 students.

Step-by-step explanation:

This problem is a division problem.

To solve, divide 4 by 4/5.

There is a strategy for this- Keep, Change, Flip.

Keep the dividend like it is, which is 4 or 4/1.

Change the division to multiplication.

And flip the divisor- 4/5 to 5/4.

When you multiply, you should get 20/4.

Simplify by dividing 20 by 4.

20 divided by 4 is 5.

So the answer is 5 students

6 0
3 years ago
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