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lukranit [14]
3 years ago
14

Membership in the art club costs $10 per month plus a one-time charge of $25 for basic supplies. Each statement compares the num

ber of months you belong to the total charge. Which statement is true?
Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

They are not directly proportional because a graph of the situation does not pass through the origin.

Step-by-step explanation:

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Use a calculator to approximate the measure of the acute angle A to the nearest tenth of a degree. sin A = 0.7793
Aleksandr [31]

The measure of acute angle A to the nearest tenth of a degree is 51.2°

<h3>Measure of angles</h3>

From the given information, we are to determine the measure of the angle.

The angle we are to determine its measure is acute angle A

From the given information, we have that

sin A = 0.7793

Thus,

A = sin⁻¹(0.7793)

Using calculator

A = 51.1965°

A ≅ 51.2°

Hence, the measure of acute angle A to the nearest tenth of a degree is 51.2°

Learn more on Calculating measure of angles here: brainly.com/question/9171516

#SPJ1

7 0
2 years ago
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the
Darya [45]

Answer:

Brand 1    Brand 2    Difference

37734       35202        2532

45299      41635         3664

36240      35500        740

32100      31950         150

37210       38015       −805

48360     47800        560

38200    37810          390

33500    33215        285

Sum of difference = 2532+ 3664+740+150 −805+  560 +390 +285 = 7516

Mean = d=\frac{7516}{8}

Mean = d=939.5

a) d= 939.5

\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}

=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, t_{\frac{\alpha}{2}}=3.499

Formula for confidence interval = \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)

Substitute the values

confidence interval = 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

confidence interval = 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right) to  = 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

Confidence interval −843.396\ to  2722.396

8 0
3 years ago
Solve the system of equations using substitution or elimination. Show all work for credit.
Tomtit [17]
Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
y =  \frac{ -  \frac{1}{2} x + 2}{3}  \\ y =  - x + 9

Since both expressions are equal to y, you have to equal both expressions like this:
\frac{  - \frac{ 1}{2}x + 2 }{3}  =  - x + 9
Now you can solve the equation:
-  \frac{1}{2} x + 2 = 3( - x + 9) \\   - \frac{ 1}{2}x  + 2 =  - 3x + 27 \\  \\  -  \frac{1}{2} x + 3x = 27 - 2 \\   \frac{5}{2} x = 25 \\ x =  \frac{(25)(2)}{5}  \\ x = 10
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result

y =  - (10) + 9 \\ y =  - 1
So, the answer is x=10 and y=-1
4 0
3 years ago
Convert 7/9 to a decimal by long division
Tomtit [17]
0.77777777777777 and goes on forever since anything/9 is 0.(whatever that number is repeated)
5 0
3 years ago
Estimate how much kaylynn earns in a week
ddd [48]
IDK becsupse idk so idk
6 0
3 years ago
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