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vovangra [49]
3 years ago
7

1,Justin rides his bicycle 2.5 kilometers to school. Luke walks 1,950 meters to school.How much farther does Justin ride to scho

ol than Luke walks to school?Explain
A.550 meters
B.55 meters
C.55 kilometers
D. 550 kilometers

2.The length of a room is 10 1/2 feet.What is the length of the room in inches? Explain

A.132 inches
B. 126 inches
C. 121 inches
D. 22 1/2 inches
Mathematics
1 answer:
kirill [66]3 years ago
6 0
1. A. 550 meters.
this is because 2.5 km = 2500 meters, since there are 1000 meters in one kilometer.
therefore, 2500 - 1950 = 550 meters.
2. B. 126 inches.
this is because there are 12 inches in one foot, so we multiply 12 by 10 since there are 10 full feet. this leaves us with 120. then, we add half a foot, which is 6 inches. therefore, it is 126 :)
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The measure of an angle is 8 degrees less than three times the measure of the angle's supplement. Find the measure of the angle.
Liula [17]

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

4 0
3 years ago
Dylan Rieder is a statistics student investigating whether athletes have better balance than non-athletes for a thesis project.
Kobotan [32]

Answer:

t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457

p_v =P(t_{75}  

Comparing the p value with a significance level for example \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.  

Step-by-step explanation:

Data given and notation

\bar X_{A}=3.7 represent the mean for athletes  

\bar X_{NA}=4.1 represent the mean for non athletes  

s_{A}=1.1 represent the sample standard deviation for athletes  

s_{NA}=1.3 represent the sample standard deviation for non athletes

n_{A}=32 sample size for the group 2  

n_{NA}=45 sample size for the group 2  

\alpha=0.01 Significance level provided  

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the population mean for athletes is lower than the population mean for non athletes, the system of  hypothesis would be:  

Null hypothesis:\mu_{A}-\mu_{NA}\geq 0  

Alternative hypothesis:\mu_{A} - \mu_{NA}< 0  

We don't have the population standard deviation's, we can apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{A}-\bar X_{NA})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{NA}}{n_{NA}}}} (1)  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457

P value  

We need to find first the degrees of freedom given by:

df=n_A +n_{NA}-2=32+45-2=75

Since is a one left tailed test the p value would be:  

p_v =P(t_{75}  

Comparing the p value with a significance level for example \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.  

5 0
3 years ago
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find th
Svetradugi [14.3K]

Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

8 0
3 years ago
A man retires at age 50 with $605,000 in savings. He spends his savings at a steady rate, and after 6 years of retirement, he ha
givi [52]

Since it states that he "spends his savings at a steady rate," we can assume this is a linear equation.

What we know is that he started with $605,000 and after 6 years, he used $300,000. So, we just subtract what he had originally by what he used and get $305,000. We can now make the equation as follows:

300,000=6x, where x is the amount of money he spent in one year. This equation simplifies to x=50,000, which is the amount of money he spent in one year.

Since the question asks us to tell how long it will take him to reach $100,000 in savings, we can make the equation using previous value we have found:

100,000=305,000-50,000x, where x is the number of years passed.

So, this equation solves to -205,000=-50,000x, or x=4.1

I'm not sure how you want to express your answer, but it took him 4.1 years on top of the 6 years already passed to reach $100,000. This mean 10.1 years in total.

Hope this helps!

7 0
3 years ago
Netta bought n shirts from the Walmart. Walmart charges $9 per shirt. Later the same day, netta bought n more shirts from amazon
Ipatiy [6.2K]

Answer:

T(n)= 17n + 5                                              

Step-by-step explanation:

We are given the following in the question:

Number of shirts bought from Walmart = n

Cost of one shirt at Walmart = $9 per shirt

Total cost of shirt at Walmart =

=\text{Number of shirts}\times \text{unit cost}\\=9n

Number of shirts bought from Amazon = n

Cost of one shirt at Amazon = $8 per shirt

Shipping fee for entire order = $5

Total cost of shirt at Amazon =

=\text{Shipping fee} + (\text{Number of shirts}\times \text{unit cost})\\=5 + 8n

Total amount spent by Netta on shirts in one day =

Total cost of shirt at Walmart  + Total cost of shirt at Amazon

T(n)= (9n) + (5+8n)\\T(n)=9n + 8n + 5\\T(n)=17n + 5

is the required expression where T(n) is the total cost and n is the number of shirts purchased at Walmart as well as Amazon.

4 0
3 years ago
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