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3 years ago

A school bus during morning pickups to calculate its average speed between 2.8 km and 4.2 km.

Mathematics

1 answer:

kifflom [539]3 years ago

4 0

<u>Answer: </u>

Option (c)

The average speed between 2.8 km and 4.2 km is 42 km/h

<u>Explanation:</u>

Given, the distance between 2.8 km and 4.2 km is 4.2 - 2.8 = 1.4 km

Time (in hours) between 2.8 km and 4.2 km

= 0.084 – 0.051

= 0.033 hr

Speed = $\frac{Distance}{Time}$

Speed = $\frac{1.4}{0.033}$

Speed = 42.4 km/hr = 42 km/h (rounded to nearest)

Therefore, the average speed between 2.8 km and 4.2 km is 42 km/hr

Hence, Option (C) is correct

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FrozenT [24]

If the gardener want the length to be 14 feet longer than it is wide, then L=w+14. We are given an area of 112. The area formula for a rectangle is A=L*W. Filling in accordingly, 112 = (w+14)(w). Distributing we have $112=w^2+14w$ . We are looking for the dimensions of the garden, so we have to solve for w. To do that we have to factor. Set it equal to 0 to get the quadratic $w^2+14w-112=0$ . Plug that into the quadratic formula to get w values of 5.69 and -19.69. The 2 things in math that will never EVER be negative are time and distance/length so we will not use the negative value. Therefore, our width is 5.69. Our length of w+14 is then 5.69+14 is 19.69. There's our dimensions: width is 5.69 and length is 19.69

6 0

3 years ago

CUCU

puteri [66]

Answer:

Step-by-step explanation:

well, the sequence are in the form

$a1, a2, a3, a4, a5, ... , an$

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

6 0

2 years ago

Find the slope of the line passing through (-9,-6) and (-4,5)

tankabanditka [31]

Answer:

11/5

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

= (5 - -6)/(-4 - -9)

= (5+6)/( -4+9)

= 11/5

8 0

3 years ago

Read 2 more answers

Of the students attending a school party, 60% of the students are girls, and 40% of the students like to dance. After these stud

elena-s [515]

Answer:

252 students at the party like to dance

Step-by-step explanation:

Given:

60% of the students are girls

40% of the students like to dance

20 more boy students

Percentage of the girls in the party = 58%

To Find:

How many students now at the party like to dance=?

Solution:

Let the number of girls be g.

Let the number of total people originally be t.

We know that

$\frac{g}{t}=\frac{60}{100}$

$\frac{g}{t}=\frac{3}{5}$ ----------------------------------(1)

We also know that

$\frac{g}{t+20}=\frac{58}{100}$

$\frac{g}{t+20}=\frac{29}{50}$ -----------------------------(2)

We now have a system of equation from (1) and (2)

3t=5g

$g = \frac{3t}{5}$ ------------------------(3)

50g=29t+580------------------------(4)

Substituting 3 in 4, we get

$50(\frac{3t}{5})=29t+580$

$(\frac{150t}{5})=29t+580$

$30t =29t+580$

$30t -29t = 580$

t =589

So originally there was 580 students

In this 580 students 40% liked to dance

Then the number of students liked to dance =

=> $40\% \text{of} 580$

=> $\frac{40}{100} \times 580$

=> $0.4 \times 580$

=> 232

We also know that with these people, 20 boys joined, all of whom like to dance.

Now the number of students like to dance = 232+20 = 252 students

7 0

2 years ago

E ( y ) = β 0 + β 1 x 1 + β 2 x 2 + β 3 x 3

GenaCL600 [577]

Answer:

b.For each additional dollar paid to a tutor, we expect exam score to increase by 1.5 points, holding number of hours of sleep per week and number of study hours fixed.

Step-by-step explanation:

Hello!

For any multiple regression model, you can define the estimated slope as "the change or modification of the estimated average of Y when one of the explanatory variables increases one unit while the others remain constant.

In this example the dependant variable is:

Y: Exam score

And you have three explanatory variables:

X₁: salary of the teacher ($).

X₂: hours of sleep per week of a student.

X₃: number of study hours of a student.

The estimated model is ŷ= 65 + 1.5X₁ + 0.2X₂ + 0.5X₃

You need to interpret the estimated slope of the amount paid to the teacher b₁= 1.5

The units of the slope are units of Y by units of X, in this case, Y has no units so it is 1/$.

Then we can say that for every additional dollar paid to the teacher, the estimated mean score of the exam will increase by 1.5 1/$ while the weekly sleep hours and study hours remain constant.

I hope it helps!

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3 years ago