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natulia [17]
3 years ago
5

You bought books from an online book store that charges a flat fee for shipping each order. There was no sales tax on this purch

ase. The graph shows the cost of purchasing x books. About how much did the books cost if the total purchase was $31.50?
A graph is shown in the xy-plane. The values on the x-axis ranges from 0 to 4 in increments of 1 and the values on the y-axis ranges from 0 to 30 in increments of 5. A line starts from a point around 3 decimal point 7 5 on the y-axis, goes up and passes through the point (2, 17 decimal point 5).

A.

$3.50
B.

$7.00
C.

$28.00
Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

$28.00

Step-by-step explanation:

The y-intercept of the graph corresponds to the flat fee for shipping.  In this case, $3.50.

You paid a total of $31.50 for both the books and the shipping.  The cost of the books is therefore $31.50 − $3.50 = $28.00.

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in circle O the radius is 4ft and the measure of minor arc ab is 120 degrees find the length of minor arc ab to the nearest inte
KIM [24]

Answer:

8\:\text{ft}

Step-by-step explanation:

The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be \frac{120}{360}=\frac{1}{3} of the circle's length (circumference).

The circumference of a circle is given by 2\pi r, where r is the radius of the circle. Therefore, the circumference of the circle is 2\pi(4)=8\pi. As we found earlier, the length of the arc is \frac{1}{3} of this circumference. Therefore, the arc's length is 8\pi\cdot \frac{1}{3}=\frac{8\pi}{3}.

To the nearest integer, this is \approx \boxed{8\:\text{ft}}.

4 0
3 years ago
What is the the slope that passes through the points (4,-7) and (9,1)
bulgar [2K]

Answer:

8/5

Step-by-step explanation:

We can use the formula for finding slope for this:  \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\frac{1 - (-7)}{9 - 4}

\frac{8}{5}

The answer would be 8/5

3 0
3 years ago
Read 2 more answers
National data indicates that​ 35% of households own a desktop computer. In a random sample of 570​ households, 40% owned a deskt
Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

<em><u>Let p = population proportion of households who own a desktop computer</u></em>

SO, Null Hypothesis, H_0 : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, <u><em>test statistics</em></u>  =  \frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }

                               =  2.437

<em>Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.</em>

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0
3 years ago
The sum of the digits of a two-digit number is 13. The units digit is one more than twice the tens digit. Find the number, and..
SCORPION-xisa [38]

Answer:

1)49

2)231

Step-by-step explanation:

1)

4+9=13

4*2=8

8+1=9

2)

2+3+1=6

2+1=3

1*2=2

8 0
3 years ago
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Find the distance between (5,2) and (5,0). PLEASE HELP!!
Kobotan [32]

Answer:

Its 2 bro

Step-by-step explanation:

7 0
3 years ago
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