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PilotLPTM [1.2K]
3 years ago
11

Rotate the figure shown 180° clockwise. What is the coordinate of J'? C. (7,6) D. (-6,7)

Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

(6, 7)

Step-by-step explanation:

rotating a shape 180 degrees will create the same shape, with similar coordinates. Therefore, drawing a straight line through the origin, would make the coordinates of J (6, 7)  

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Wyatt offers 8 types of sandwiches and 4 types of tacos. He will increase his selection of sandwiches by 1 per month. He will in
Klio2033 [76]

Answer:

In 4 months Wyatt offer an equal number of sandwiches and tacos.

Step-by-step explanation:

We are given the following in the question:

Types of sandwiches = 8

Rate of increase of sandwich = 1 per month

Thus, number of sandwiches in x months will be given by

n_1(x) = 8 + x

Types of tacos = 4

Rate of increase of tacos sandwich = 2 per month

Thus, number of tacos in x months will be given by

n_2(x) = 4 + 2x

Equating the two equations, we get,

n_1(x) = n_2(x)\\8 + x = 4 + 2x\\\Rightarrow x = 4

Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.

4 0
3 years ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,564 miles, with a standard
DerKrebs [107]

Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 48564, \sigma = 3293, n = 281, s = \frac{3293}{\sqrt{281}} = 196.44

What is the probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct?

This is the pvalue of Z when X = 48101. So

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

By the Central Limit Theorem

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

Z = \frac{48101 - 48564}{196.44}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

6 0
3 years ago
Whats the answer to 2c + 9 = 27
Inessa05 [86]

Ans

c=9

Step-by-step explanation:

2 x 9 = 18 +9 = 27

7 0
3 years ago
Read 2 more answers
Complete the general form of the equation of a sinusoidal function having an amplitude of 4, a period of π , and a phase shift t
alex41 [277]

Answer:

4 sin (2x - 4).

Step-by-step explanation:

The amplitude of  sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.

Our formula is  4 sin (2(x - 2))

= 4 sin (2x - 4).

8 0
3 years ago
What is the circumference and area of a circle with a radius of 8 centimeters
Maksim231197 [3]

Answer:

Area= 64pi or 201.06

Circumference: 16pi or 50.265

Step-by-step explanation:

Area= \pi r^{2}

pi (8)^2 = 64pi or 201.06

Circumference= 2pir , 2(pi)8 = 16pi or 50.2

4 0
3 years ago
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