All categories

3 years ago

What is the sum of 56+64 writen as the product of its gcf and another sum

1 answer:

3 0

Look for the sum of 56 and 64, written as the product of its GCF and another sum.
First, let’s find the greatest common factor of both given numbers:
=> 56 = 1, 2, 4, 7, 8, 13, 28 and 56
=> 64 = 1, 2, 4, 8, 16, 32, and 64
Now, we need to find the greatest common factor between the two numbers. The GCF of the 2 numbers is 8.
=> 56 / 8 = 7
=> 64 / 8 = 8
=> 56 + 64 = 120
=> (8 x 7) + (8 x 8)
=> 56 + 64
=> 120.

You might be interested in

5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.

Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that $\mu = 1511, \sigma = 312$

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 1511}{312}$

$X - 1511 = 1.645*312$

$X = 2024$

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that $\mu = 21.1, \sigma = 5.1$ . So

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 21.1}{5.1}$

$X - 21.1 = 1.645*5.1$

$X = 29.49$

The equivalent ACT score is 29.49.

5 0

2 years ago

Simplify. 10 + 51 -10 + 51 41

tatuchka [14]

Answer:

52.12

Step-by-step explanation

PEMDAS

Adding comes before subtracting

10+51=61

10+51 41=51.51

61-51.51=-52.12

3 0

2 years ago

Triangles DEF and D'E'F' are shown on the coordinate plane below: . . Triangle DEF and triangle D prime E prime F prime with ord

Brilliant_brown [7]

The correct answer is:
180° rotation.

Explanation: 
Comparing the points D, E and F to D', E' and F', we see that the x- and y-coordinates of each have been negated, but they are still in the same position in the ordered pair. 

A 90° rotation counterclockwise will take coordinates (x, y) and map them to (-y, x), negating the y-coordinate and swapping the x- and y-coordinates.

 A 90° rotation clockwise will map coordinates (x, y) to (y, -x), negating the x-coordinate and swapping the x- and y-coordinates.

Performing either of these would leave our image with a coordinate that needs negated, as well as needing to swap the coordinates back around.

This means we would have to perform the same rotation again; if we began with 90° clockwise, we would rotate 90 degrees clockwise again; if we began with 90° counter-clockwise, we would rotate 90 degrees counterclockwise again. Either way this rotates the figure a total of 180° and gives us the desired coordinates.

4 0

2 years ago

Read 2 more answers

A skull cleaning factory cleans animal skulls of deer, buffalo and other types of animals using flesh-eating beetles. the fact

Shtirlitz [24]

The solution for this problem is:
The population is 500 times bigger since 8000/24 = 500. The population after t days is computed by:P(t) = P₀·4^(t/49)
Solve for t: 8000 = 8·4^(t/49) 1000 = 4^(t/49) log₄(1000) = t/49t = 49log₄(1000) ≅ 244 days

8 0

2 years ago

Carly is a catcher on the school softball team. By the end of the season she had played in 45% of the 40 games the team had play

rewona [7]

22

you need 55% so
55•40 :100

5 0

2 years ago