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3 years ago

14 and 11/12 + 3 and 1/6

1 answer:

8 0

let's firstly convert the mixed fractions to improper fractions and then add them up, bearing in mind that the LCD from 12 and 6 will just be 12.

$\bf \stackrel{mixed}{14\frac{11}{12}}\implies \cfrac{14\cdot 12+11}{12}\implies \stackrel{improper}{\cfrac{179}{12}}~\hfill \stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{179}{12}+\cfrac{19}{6}\implies \stackrel{\textit{using the LCD of 12}}{\cfrac{(1)179~~+~~(2)19}{12}}\implies \cfrac{179+38}{12}\implies \cfrac{217}{12}\implies 18\frac{1}{12}$

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2 years ago

In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinate

MatroZZZ [7]

Answer:

C. 10 000

Step-by-step explanation:

If we called:

x = children who have been vacinated against rubella only

2x = children who have been vaccinated against mumps

y = children who have been vaccinated agains both

Children who have been vaccinated against mumps only = x - y

And we know that y = 2*(x-y)

=> 2y = 3x

y = 5000

There fore x = 7500

The number of children who have been vaccinated against rubella

= 2x - y = 2*7500 - 5000 = 15 000 - 5000 = 10 000

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3 years ago

A bivariate data set has x = 21, sx = 13, y = 55, sy = 27, and r = .88. What is the equation for the regression line of y on x?

earnstyle [38]

Answer:

c) $y=16.57+1.83x$

Step-by-step explanation:

Equation for regression line of y on x is given as

$\hat{y}=mx+b --- (1)$

where

$\hat{y}$ = predicted value

m = slope of line

b = intercept

m and b are found as

$m=r\frac{S_{y}}{S_{x}}---(2)\\\\b=\bar{y}-m\bar{x}---(3)$

r = correlation coefficient = 0.88

Sx = standard deviation for independent variable x = 13

Sy = standard deviation for dependent variable y = 27

$\bar{x}$ = mean value of independent variable x = 21

$\bar{x}$ = mean value of dependent variable y = 55

Substituting these values in (2) and (3)

$m=r\frac{S_{y}}{S_{x}}\\\\m=(0.88)\frac{27}{13}\\\\m=1.83$

$b=\bar{y}-m\bar{x}\\\\b=55-(1.827)(21)\\\\b=16.57$

Putting these values of m and b in (1)

$y=1.83x+16.57$

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2 years ago

A population has a mean of 300 and a standard deviation of 40. Suppose a sample of size 100 is selected and is used to estimate

bazaltina [42]

Answer:

a: 0.9544 9 within 8 units)

b: 0.9940

Step-by-step explanation:

We have µ = 300 and σ = 40. The sample size, n = 100.

For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:

P(292 < x < 308).

We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.

We have P(292 < x < 308) = 0.9544

Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find

P(289 < x < 311)

We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.

We have P(289 < x < 311) = 0.9940

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3 years ago

Plz help me

AysviL [449]

Answer:

96 seconds

Step-by-step explanation:

In order to find how long it will take to empty the bucket, you must multiply the number of gallons by the reciprocal of the fraction.

1. Reciprocal of $\frac{1}{3}$ is $\frac{3}{1}$ which is 3

2. multiply 32 by 3 to get your answer, 96.

I hope this helped!

8 0

3 years ago