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Serhud [2]
2 years ago
12

Amy can ride her bike 4 miles in 30 minutes. Sebastian can ride his bike 3 miles in 24 minutes. How long, in miles, does it take

Amy to ride 3 miles?
Mathematics
2 answers:
Naddik [55]2 years ago
8 0

Answer:1.6 miles

Step-by-step explanation:

If Amy can ride 4 miles in 30 minutes, to get her distance in 1 minute, we need to divide 4 miles by 30:

4/30=2/15 miles per minute

Hence, in 12 minutes, she can ride 12 times that:

2/15 x 12 = 1/8= 1.6 miles

scoray [572]2 years ago
6 0

Answer:

The answer is 22.5

Step-by-step explanation:

Hope it Helps

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if one acute angle of a right triangle measures 47 degrees, what is the measures of the other acute angle
dimulka [17.4K]

Answer:

<h2>           43°</h2>

Step-by-step explanation:

The sum of measures of angles in triangle is 180°, so the measure of the ohter acute angle:

180° - 90° - 47° = 43°

3 0
3 years ago
Use the given conditions to write an equation for the line in​ point-slope form and general form. Passing through (8 comma negat
miskamm [114]

Answer:

The answer to your question is   y = -5x + 32          point-slope form

                                                      5x + y - 32 = 0      general form

Step-by-step explanation:

Data

(8, -8)

⊥ x - 5y - 6 = 0

Process

1.- Get the slope of the line given

   x - 5y - 6 = 0

   -5y = -x + 6

      y = -x/-5 + 6/-5

      y = x/5 - 6/5

slope = 1/5

slope of the new line -5, because the lines are perpendicular

2.- Get the equation of the new line

          y - y1 = m(x - x1)

          y + 8 = -5(x - 8)

          y + 8 = -5x + 40

          y = -5x + 40 - 8

         y = -5x + 32          point-slope form

Equal to zero to find the general form

         5x + y - 32 = 0      general form

5 0
2 years ago
A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre
Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is <u>tested if the consumption is not different</u>, that is, if the subtraction of the means is 0, hence:

H_0: \mu_1 - \mu_2 = 0

At the alternative hypothesis, it is <u>tested if the consumption is different</u>, that is, if the subtraction of the means is not 0, hence:

H_1: \mu_1 - \mu_2 \neq 0

Two groups of 22 patients, hence, the standard errors are:

s_1 = \frac{45.1}{\sqrt{22}} = 9.6154

s_2 = \frac{26.4}{\sqrt{22}} = 5.6285

The distribution of the differences is has:

\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25

s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14

The test statistic is given by:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

t = \frac{25 - 0}{11.14}

t = 2.2438

The p-value of the test is found using a <u>two-tailed test</u>, as we are testing if the mean is different of a value, with <u>t = 2.2438</u> and 22 + 22 - 2 = <u>42 df.</u>

  • Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

4 0
2 years ago
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius round to the nearest hundr
patriot [66]

volume for cylinder = pi x r^2 x h

 radius = half the diameter = 8/2 =4

height = 3 times the radius = 3*4 =12

using 3.14 for pi

volume = 3.14 x 4^2 x 12 = 602.88 cubic inches

5 0
2 years ago
Solve for X!! Hellppp
maria [59]
70 ( and i have to type enough characters to submit )
6 0
3 years ago
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