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taurus [48]
3 years ago
10

Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linea

r relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table.
Total Cost of Fitness Club Membership
Length of membership
Club 1
Club 2
Club 3
6 months
$108
$120
$126
12 months
$216
$210
$252
24 months
$432
$390
$504

How many of the clubs require new members to pay a one-time membership fee?
A: 0
B: 1
C: 2
D: 3
Mathematics
2 answers:
worty [1.4K]3 years ago
5 0
B because it’s the only one that doesn’t double in value
Nataliya [291]3 years ago
4 0
The correct answer is b
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nataly862011 [7]

Answer:

27.6

Step-by-step explanation:

sin29=x/57

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x≈27.6

4 0
2 years ago
Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What
777dan777 [17]

Answer:

B) \frac{3}{4} x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

                               = 40 units

Dilating KMPT by a scale factor of \frac{3}{4} would create K'M'P'T' of dimensions; \frac{3}{4} × 12 units by \frac{3}{4} × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

                                  = 2(9 + 6)

                                  = 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be  \frac{3}{4} × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

         perimeter of K'M'P'T' = \frac{3}{4} * x units

                                            = \frac{3}{4}x units

6 0
3 years ago
Kara ate 2 7/9 of the raisins she packed. Which box shows the decimal equivalent of the amount of raisins she ate? Box A: 2.777
vivado [14]

Answer:  Box A, 2.777

=======================================================

Explanation:

When using a calculator or long division, you should find that

7/9 = 0.7777...

where the 7s go on forever

So we can say that 7/9 = 0.777 approximately. You could argue that the last '7' would round up to an '8' and we could say 7/9 = 0.778; however, I'll stick to the first value so that it matches with the answer.

Since 7/9 = 0.777, this means 2 & 7/9 = 2 + 7/9 = 2 + 0.777 = 2.777 which is box A.

6 0
3 years ago
A bottle of soda contains 390 mL.
Licemer1 [7]
The answer to c is 9$ for four "cartons" of soda   the answer to a is  1560 mL

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An insurance company works with two auto repair shops and wants to compare their prices. Company officials randomly select 12 da
Grace [21]

Answer:

C) H0:μd=0 and Ha:μd≠ 0

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Alternative hypothesis: \mu_d \neq 0

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=value for the first shop , y = value for the second shop

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

Or equivalently :

Null hypothesis: \mu_d = 0

Alternative hypothesis: \mu_d \neq 0

Since we define the difference d_i=y_i-x_i and we obtain this:

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}

The 4 step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=t_{calculated}

The next step is calculate the degrees of freedom given by:

df=n-1=12-1=11

Now we can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(11)}>|t_{calculated}|)

C) H0:μd=0 and Ha:μd≠ 0

5 0
3 years ago
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