Seven is 14 less than twice a number

Mr. Hughes gave 5/14

kow [346]

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14})$

As $\frac{9}{14}$ is the remained that his son did not get. So

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}$

Fraction his wife got:

$1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}$

If his wife got $900, what were his savings?

Total savings are x, wife got $\frac{9}{42}$ of x. So

$\frac{9x}{42} = 900$

$9x = 900*42$

$x = \frac{900*42}{9}$

$x = 100*42$

$x = 4200$

His savings were of $4,200.

5 0

3 years ago

The diameter of a ping pong ball is 4.0cm. find the length in kilometers of a row of 6.02×1023 ping pong balls.

Vikentia [17]

The length is determined by multiplying the number of balls with the diameter. The answer that would come out of this is in units of centimeters.

L = (6.02 x 10^23 balls)(4 cm/ball)
L = 2.408 x 10^24 cm

Then, we use the proper conversion factor to convert centimeter to kilometer.

L = (2.408 x 10^24 cm)(1 m/100 cm)(1 km/1000 m)
L = (2.408 x 10^24)(10^5)

The answer to this item is 2.408 x 10^19 km.

3 0

3 years ago

Read 2 more answers

People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, resear

Alborosie

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

d.

α: 0.05

Left critical value: $t_{n-1;/\alpha 2} = t_{8; 0.025}= -2.306$

Right critical value: $t_{n-1;1-\alpha /2} = t_{8;0.975} = 2.306$

e.

$t_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}$

X[bar]= 23

S= 3

$t_{H_0}= \frac{23-20}{\frac{3}{\sqrt{9} } }= 3$

f.

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

7 0

3 years ago

Fine slope intercept form <br> y = x+7 (2, 3)<br> Help please and thanks

Dimas [21]

Answer:

y=x7 X 5

Step-by-step explanation:

6 0

3 years ago

Please help me out ;)

borishaifa [10]

Answer:

(-5,-9)

Step-by-step explanation:

you need to check which line the dot ison

4 0

2 years ago