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SSSSS [86.1K]
2 years ago
8

Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.

Mathematics
1 answer:
horrorfan [7]2 years ago
4 0

The distance from the center of dilation, P, to.the image vertice S' is; 6 units.

<h3>What is the distance from the center of dilation, P, to the image S'?</h3>

It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.

Ultimately, since the dilation factor is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6 units.

Read more on dilation;

brainly.com/question/10253650

#SPJ1

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Sierra has plotted two vertices of a rectangle at (3,2) and (8,2). What is the length of the sides of the rectangle
Eddi Din [679]

Answer:

5units

Step-by-step explanation:

Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.

Using the formula

D = √(x2-x1)²+(y2-y1)²

D = √(2-2)²+(8-3)²

D = √0+5²

D =  √25

D = 5

Hence the length of the side of the rectangle is 5units

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3 years ago
Please help i am almost done with school... will mark brainliest
Nimfa-mama [501]

Answer:

148 tickets

Step-by-step explanation:

444 ÷ 3 = 148

7 0
3 years ago
M = –8<br> no solution<br> m = 8 or –8<br> m = –4
Simora [160]

Answer:

Step-by-step

1+m/2 -1 =-3+1

m/2 = -2

2(m/2) = 2(-2)

m = -4

when m was -8

-8 = -4

-8 ≠ -4

when m was 8

8 = -4

8 ≠ -4

7 0
3 years ago
Read 2 more answers
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3 years ago
A random sample of 100 people from City A has an average IQ of 120 with a SD of 18. Independently of this, a random sample of 15
Sloan [31]

Answer:

z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837

p_v =P(z>1.837)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the average IQ on city A is signficantly higher than city B at 5% of singificance.  

Step-by-step explanation:

\bar X_{A}=120 represent the mean for sample 1

\bar X_{B}=116 represent the mean for sample 2

s_{A}=18 represent the sample standard deviation for 1  

s_{B}=15 represent the sample standard deviation for 2  

n_{A}=100 sample size for the group 2  

n_{B}=150 sample size for the group 2  

\alpha Significance level provided

z would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if residents of City A smarter on average, the system of hypothesis would be:  

Null hypothesis:\mu_{A}-\mu_{B}\leq 0  

Alternative hypothesis:\mu_{A} - \mu_{B}> 0  

We don't have the population standard deviation's, but the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:  

z=\frac{(\bar X_{A}-\bar X_{B})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:  

z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.837)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the average IQ on city A is signficantly higher than city B at 5% of singificance.  

5 0
3 years ago
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