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Iteru [2.4K]
3 years ago
15

The sum of two numbers is 60 . The smaller number is 12 less than the larger number. What are the numbers?

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

36 and 24

Step-by-step explanation

36 - 24 = 12

36 + 24 = 60

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6) The amount of Jen's monthly phone bill is normally distributed with a mean of $70 and a standard
alexandr402 [8]

Answer:

i)The correct option is  D.) 99.74%

ii) The correct option is B.) 68.26%

Step-by-step explanation:

i) P(10≤X≤70) = P(  (10−40)/10  ≤Z≤   (70−40 )/10 ) =  Pr(−3≤Z≤3)

= 0.9987 - 0.0013 = 0.99734

Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%

ii)P(2.1≤X≤3.1) = P(  (2.1 − 2.6) /0.5   ≤ Z  ≤ (3.1−2.6 )/0.5)  =  Pr(−1  ≤Z  ≤1) )

=  0.8413 − 0.1587  =  0.6826

Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%

5 0
3 years ago
Triangle ABC has a perimeter of 25 meters. It is translated 10 meters to the left and then rotated 90° counterclockwise about ve
3241004551 [841]

Answer:i think 25

Step-by-step explanation:

4 0
3 years ago
How many solutions does 15x+12y=18 have
dangina [55]

Answer: 2 or more.

X and Y could be anything, so there are at least two answers

8 0
2 years ago
Consider a drug testing company that provides a test for marijuana usage. Among 310 tested​ subjects, results from 28 subjects w
Naily [24]

Answer:

z=\frac{0.0903 -0.1}{\sqrt{\frac{0.1(1-0.1)}{310}}}=-0.569  

The p value for this case can be calculated with this probability:

p_v =P(z  

Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1

Step-by-step explanation:

Information given

n=310 represent th sample selected

X=28 represent the subjects wrong

\hat p=\frac{28}{310}=0.0903 estimated proportion of subjects wrong

p_o=0.1 is the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

System of hypothesis

We want to test the claim that less than 10 percent of the test results are wrong ,and the hypothesis are:  

Null hypothesis:p\geq 0.1  

Alternative hypothesis:p < 0.1  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.0903 -0.1}{\sqrt{\frac{0.1(1-0.1)}{310}}}=-0.569  

The p value for this case can be calculated with this probability:

p_v =P(z  

Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1

5 0
3 years ago
Solve for x.<br> (x + 13) ft<br> 24 ft
bonufazy [111]

Answer:

<em>x</em> = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, <em>x</em> = 9.

Hope this helps! :D

8 0
3 years ago
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