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Dmitrij [34]
3 years ago
14

/ has vertices at (–5, 1) and (–3, 7). After a transformation, the image had endpoints at (3, –1) and (5, 5). Describe the trans

formation.
A.
translation right 2 units and up 6 units
B.
rotation 90° about the origin
C.
translation right 8 units and down 2 units
D.
reflection across the y-axis
Mathematics
1 answer:
Pie3 years ago
3 0
1st point: ( -5+8. 1-2 ) = ( 3, -1 )
2nd point: ( -3+8, 7-2 ) = ( 5, 5 )
Answer: C) translation right 8 units and down 2 units. 
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A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCI/L of radon. The resulting reading
valkas [14]

Answer:

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

t=\frac{98.375-100}{\frac{6.109}{\sqrt{12}}}=-0.921  

p_v =2*P(t_{11}  

Step-by-step explanation:

1) Data given and notation  

Data: 105.6, 90.9, 91.2, 96.9, 96.5, 91.3, 100.1, 105.0, 99.6, 107.7, 103.3, 92.4

We can calculate the sample mean and deviation for this data with the following formulas:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}

The results obtained are:

\bar X=98.375 represent the sample mean  

s=0.6.109 represent the sample standard deviation  

n=12 sample size  

\mu_o =100 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 100pCL/L, the system of hypothesis are :  

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

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

t=\frac{98.375-100}{\frac{6.109}{\sqrt{12}}}=-0.921  

4) P-value  

First we need to find the degrees of freedom for the statistic given by:

df=n-1=12-1=11

Since is a two sided test the p value would given by:  

p_v =2*P(t_{11}  

5) Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significant different from 100 at 5% of significance.  

3 0
3 years ago
On the road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. W
Oksana_A [137]

Equation

A = (b1 + b2)*h /2


Givens

b1 = 5 feet

b2 = 7 feet

h = 3 feet


Sub and solve

Area = (5 + 7)*3/2

Area = 12*3/2

Area = 36/2

Area = 18 Square feet.

7 0
3 years ago
14. The table below represents an inverse
Mandarinka [93]

Step-by-step explanation:

Let xy = k, where k is the constant of variation.

By using values of x and y in the table,

we see that (2)(48) = (4)(24) = (12)(8) = 96.

Hence k = 96, which is our answer.

4 0
3 years ago
The ratio of boys to total players in league soccer is 3:5. How many are there if there are 45 boys?
gladu [14]

Answer:

Step-by-step explanation:

since 3 * 15 = 45, we know that we have to multiply 5 by 15. so the ratio would be 45:75. I hope this helps!

5 0
3 years ago
Read 2 more answers
Pls help i need to find the area again
valentina_108 [34]

Answer:

if you have discord i could help you more

Step-by-step explanation:

3 0
3 years ago
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