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2 years ago

Find the greatest common factor of 4c and 10c".

Mathematics

2 answers:

padilas [110]2 years ago

5 0

Answer:

Step-by-step explanation:

melamori03 [73]2 years ago

3 0

Answer:

Step-by-step explanation:

The greatest common factor is the biggest number that divides into different numbers.

The greatest common factor between 4c and 10c is the biggest number you can divide each of them by to get a whole number.

Since c is in both of them that means that it is going to be #c

The biggest number you could divide 4 and 10 by is 2

4/2 = 2

10/2 = 5

So the GCF between 4c and 10c is 2c

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Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. A line

xz_007 [3.2K]

I believe that this problem has the following choices:

It must be equal to BQ .
It must be wider than when he constructed the arc centered at point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

4 0

2 years ago

Read 2 more answers

Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh

snow_tiger [21]

Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

We would determine the probability value by using the t test calculator.

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

6 0

2 years ago

Divide 794.1 by 7.61. Round off your answer to two decimal places. A. 104.35 B. 786.49 C. 95.83 D. 1,043.50

VikaD [51]

Answer:
A. 104.35

Explanation:
794.1 ÷ 7.61 = 104.34954
Round off to two decimal places:
104.349
round 4 up to 5 because the next number is greater than 5:
9 > 5
So
104.35

3 0

2 years ago

Read 2 more answers

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t

worty [1.4K]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

6 0

1 year ago

Admission for a water park is 17.50 per day.a season pass cost 125. How many days must you go to the water park to make buying t

solmaris [256]

You must go to the water park for 8 days to make buying the season pass worth it.

Explanation

Suppose, the number of days you must go to the water park is $x$

Admission for the park is 17.50 per day. So, the total cost for $x$ days will be: $17.50x$

Given that, the season pass cost 125. So, the equation will be.....

$17.50x=125\\ \\ x=\frac{125}{17.50}=7.142...\\ \\ x \approx 8$

(As the number of days can't be in decimal)

So, you must go to the water park for 8 days to make buying the season pass worth it.

7 0

2 years ago