1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ziro4ka [17]
3 years ago
15

Pablo runs 1.5 miles on his first day of training for a road race the next day he increases his distance run by 0.5 miles the da

y after that he increases his distance run by another 0.5 miles and so on what is the total number of miles Pablo runs over the course of 12 days
Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0
0.5x+1.5=
0.5(12)+1.5=11.5
Nadusha1986 [10]3 years ago
4 0

Answer:

51 miles

I promise this is correct. I just took the test and got 100%.

You might be interested in
In the square pyramid shown below, the area of each triangle is 135 square meters and the area of the base is 324 square meters.
stepan [7]
Area of square base = 324 m²

Length of the square side = √324 = 18

The side of the square is the base of the triangle.

Area of triangle = (1/2)*base* height

135 = (1/2)*18* h

135 = 9h

135/9 = h

15 = h

height = 15 m


To get the height of the Pyramid, the height of the Triangle and half the length of the side of the square form a right angled triangle.

Hypotenus = 15
Half length of square = 18/2 = 9
Height of Pyramid = H

By Pythagoras' Theorem:

15² = H² + 9²

225 =H² + 81

 H² + 81 = 225

H²  = 225 - 81

H²  = 144          Take square root of both sides

H  = √144

H = 12

Height = 12 meters.

Option C.
3 0
3 years ago
Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
Need answer asap. will give thanks
kompoz [17]
The answer of the larger circle = 254.34
Formula = radius*radius*π

The answer of the smaller circle = 113.04

254.34 - 113.04 = 141.3

Hope this helped☺☺
4 0
3 years ago
Read 2 more answers
When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
n200080 [17]

Answer:

She will use the ratio shortening to flour as 4 : 15

Step-by-step explanation:

When Mrs. Stewart makes pie dough, she uses \dfrac{2}{3} cups of shortening for every 2\dfrac{1}{2} = \dfrac{5}{2} cups of flour.

So, for each \dfrac{2}{3} cup of shortening she uses \dfrac{5}{2} cups of flour.

Then, the ratio of shortening to flour in the mixture of pie dough will be  

\dfrac{\dfrac{2}{3} }{\dfrac{5}{2} } = \dfrac{4}{15} i.e. 4 : 15.

Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)

3 0
3 years ago
Are rational numbers equal to integers
Alinara [238K]

Yes rational numbers are equal to integers.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Over the weekend, Halverson had put together 3/16 of a jigsaw puzzle, while Jamie put together 10/16 of a jigsaw puzzle. Who had
    8·1 answer
  • Given that R is equidistant from U and S, what can you conclude about angles UTR and STR?
    8·2 answers
  • Which of these is not allowed here
    7·2 answers
  • Angle XYZ is bisected by line YW the measure of angle XYW is 52 what is the measurement of angle WYZ what is the measurement of
    14·1 answer
  • There are four girls, and four apples in a basket. Each girl took one apple, however, there was still one apple left in the bask
    13·1 answer
  • Headphones cost $6 for 4 pairs. What is the price of 1 pair ?
    6·2 answers
  • The fabric costs$14.00 per yard. If you buy 5 yards or more, you can get 20% off. How much would give yards costs on sale?
    11·1 answer
  • What is the area of the triangle.​
    13·2 answers
  • They're about 32 girls, 46 boys, and 3 teachers in a classroom. Write the ratio in boys to girls then multiply it by teachers an
    11·2 answers
  • The difference of two numbers is 3. Their sum is 13. Find the numbers.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!