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Finger [1]
2 years ago
12

Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom ho

w many miles they ride their bikes each month. He obtained the following results. 8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4, 0 The fraction x/30 shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. What is the value of x?
Mathematics
2 answers:
gayaneshka [121]2 years ago
5 0

Answer:

x = 4 is the answer.

Step-by-step explanation:

List of rides in a month of 30 students have been given in the question.

We have to find the value of x if fraction x/30 shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed.

Therefore x/30 = 4/30

x = 4×30/30 = 4

So x = 4 is the answer.

blsea [12.9K]2 years ago
3 0
4 is the answer because there are only 4 numbers greater than 10.Those are the people who ride bikes ore than 10 times.
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You have a need to purchase 30 units of a product and have them delivered to your company in five days. The sale price is $35 ea
tino4ka555 [31]

Answer: $1411.50

Step-by-step explanation:

Since the sale price is $35 each and there are 30 units, the cost will be:

= $35 × 30

= $1050

We then add the sales tax on the product which is 8%. This will be:

= $1050 + (8% × $1050)

= $1050 + (0.08 × $1050)

= $1050 + $84

= $1134

We then add Shipping price which is $15. This will be:

= $1134 + $15

= $1149

We then add the 25% rush charge on the sales price. This will be:

= $1050 × 25%

= $1050 × 0.25

= $262.50

To get total cost, this will be:

= $1149 + $262.50

= $1411.50

5 0
2 years ago
Read 2 more answers
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill
Art [367]

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

6 0
2 years ago
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh
snow_tiger [21]

Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the​ fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

We would determine the probability value by using the t test calculator.

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

6 0
2 years ago
Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in
nydimaria [60]

Answer:

50

Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

110

So, let's solve both inequalities.

1)

110

Subtract 10 from both sides:

100

Divide both sides by 2:

50

2)

2x+10

Subtract 10 from both sides:

2x

Divide both sides by 2:

x

So, our inequality is now:

110

Since we solved the equations:

50

Written as a compound inequality, this is:

50

In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

4 0
2 years ago
Read 2 more answers
Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.
Artist 52 [7]
<span>                                                            Honor roll Not on honor roll Total
Received math class requested        315               64                   379
Did not get math class requested        41               80                   121
Total                                                        356             144                   500 

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.</span>
5 0
2 years ago
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