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tangare [24]
3 years ago
10

Keith ran in a marathon. itt took him 3 hours and 2 minutes to run 26 miles. If he ran at the same rate for the whole race , how

many minutes did it take him to run each mile? (1 hour = 60 minutes )
A.6 minutes.
B. 7 minutes
C.8minutes.
D.9 minutes.
please help me
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0
B. Convert the hours into mins (3h=180m) add 2 more min to that,now 182m and divide by how many miles he ran (26)
182/26=7m
You might be interested in
Answer these two questions
AVprozaik [17]

For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C

For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D

<h3 /><h3>What is a right angle triangle?</h3>

A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).

Part A

To calculate the height of the pole in the right angle triangle, we use the formula below.

Formula:

  • tan∅ = opposite/adjacent

From the diagram,

Given:

  • ∅ = 41°
  • Opposite = Height of the pole = P
  • Adjacent = 34 ft

Substitute these values into equation 1 and solve for P

  • tan41° = P/34
  • P = 34×tan41°
  • P = 29.55
  • P ≈ 30 ft

Part B

Similarly, fine the length of wire 1, we use the formula below.

Formula:

  • cos∅ = Adjacent/Hypotenus.......... Equation 2

From the diagram,

Given:

  • Hypotenus = Wire 1 = x
  • ∅  = 41°
  • Adjacent = 34 ft

Substitute these values into equation 2 and solve for x

  • cos41° = 34/x
  • x = 34/cos41°
  • x = 45.05
  • x ≈ 45 ft

Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.

Learn more about right angle triangle here: brainly.com/question/64787

#SPJ1

5 0
1 year ago
What is the best way to simplify 7x + 3(x - 2) - 4x + 8
Romashka-Z-Leto [24]
7x+3(x-2)4x+8=
<span>
Distributive property  
7x + 3x - 6 -4x + 8
Combining like terms 
10x - 6 -4x + 8
6x - 6 + 8
Combine numbers 
6x + 2 </span>

Hope i helped:D 




5 0
3 years ago
Read 2 more answers
Help plz. i would greatly appreciate it​
vekshin1

Answer:

1) 5^2=25

2) 5^2=x

3) b^3=64

Step-by-step explanation:

To write logs of the form log_ba=x in their exponential form, you take the base b and put it to the power of x and then set that equal to a: b^x=a.

1. Here, b = 5, a = 25, and x = 2, so: 5^2=25

2. In this problem, b = 5, x = 2, and a = x, so: 5^2=x

3. Finally, here, b = b, a = 64, and x = 3, so: b^3=64

Hope this helps!

6 0
3 years ago
Read 2 more answers
Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math
bekas [8.4K]

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

p_1=X_1/n_1=82/135=0.607

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

p_2=X_2/n_2=41/92=0.446

The difference between proportions is (p1-p2)=0.162.

p_d=p_1-p_2=0.607-0.446=0.162

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\text{P-value}=2\cdot P(z>2.4014)=0.0171

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

6 0
3 years ago
( 8 x 10^-3 ) * (0.0002) = ?<br><br> In scientific notation please
Juliette [100K]
 1.6 × 10 to the negative sixth power "10 -6". 
3 0
3 years ago
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