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2 years ago

Two factors of -48 have a difference of 19. The factor with a

Mathematics

2 answers:

sdas [7]2 years ago

3 0

Answer:

Step-by-step explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors ( $F_1\times F_2$ ) Difference ( $F1-F2$ ) Difference ( $F_2-F_1$ )

$-2\times 24$ -26 26

$2\times -24$ 26 -26

$-3\times 16$ -19 19

$3\times -16$ 19 -19

$-4\times 12$ -16 16

$4\times -12$ 16 -16

$6\times -8$ -14 14

$12\times -4$ 14 -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are $-3, 16$ and $3,-16$

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are $-3, 16$

The sum of the factors is = $-3+16=13$ (Answer)

kirza4 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

it's C on edg

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%to find the euclidean distance between two vectors, find the 2-norm of the difference of %those vectors. enter column vectors u

sergij07 [2.7K]

the norm of the distance is |d|=97.95 ft

the vector of the distance is d=96i+18j+27k

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Step-by-step explanation:
As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.
Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.

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Visit : brainly.com/question/13419770

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8 0

1 year ago

Diameter of the circle whose radius is given <br>a) 3.5cm<br>

sdas [7]

To find the diameter of the radius you need to multiply 3.5 x 2 = 7

5 0

2 years ago

Please hurry I need help

RSB [31]

Answer:

48f^2-110f+63

Step-by-step explanation:

We multiple every part of first sum with every prt of the 2nd sum:

(6f-7)(8f-9)=48f^2-54f-56f+63=

48f^2-110f+63

5 0

2 years ago

Read 2 more answers

A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat

zmey [24]

Answer:

a) 0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b) 0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

$\mu = 200, \sigma = 50, n = 100, s = \frac{50}{\sqrt{100}} = 5$

a. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 200 + 5 = 205 subtracted by the pvalue of Z when X = 200 - 5 = 195.

Due to the Central Limit Theorem, Z is:

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

X = 205

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

$Z = \frac{205 - 200}{5}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413.

X = 195

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

$Z = \frac{195 - 200}{5}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6426

0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 210 subtracted by the pvalue of Z when X = 190.

X = 210

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

$Z = \frac{210 - 200}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772.

X = 195

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

$Z = \frac{190 - 200}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

7 0

2 years ago

‼️GEOMETRY‼️

ella [17]

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

$SA=4\pi r^2$

For this formula, we need the radius of the sphere. Divide the diameter by 2:

$\frac{18}{2}=9$

The radius is 9 inches. Plug this into the equation:

$SA=4\pi *9^2$

Simplify the equation:

$SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87$

Round the result to the nearest whole number:

$1017.87$ → $1018$

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.

6 0

2 years ago