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aliyah had some candy to give her four children. she first tooke ten pieces for herself and then evenly divided the rest among h

DIA [1.3K]

Let the original number be "x".
(x-10)/4 = 2

x-10 = 8
x = 18 (original number of pieces of candy.)

6 0

2 years ago

Find the value of x in the following figure. (a) 60° (2x + 40° R

miskamm [114]

60

bc of congruence mark

3 0

2 years ago

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in

erica [24]

Answer:

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$n=10$ represent the sample size

$\alpha=0.05$ represent the confidence level

$s^2 =0.0217$ represent the sample variance

$\sigma^2_0 =0.12^2= 0.0144$ represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 0.0144$

Alternative hypothesis: $\sigma^2 \neq 0.0144$

The statistic can be calculated like this;

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

7 0

2 years ago

Sonya planted a flower garden of tulips, daisies and lilies. She planted 2 times as many tulips as daises and 3 tomes as many da

RideAnS [48]

70 flowers were planted in all.

Step-by-step explanation:

Let,

Tulips = t

Daises = d

Lilies = l

Total tulips planted = 42

She planted 2 times as many tulips as daises.

t=2d

Putting t=42

$42=2d\\2d=42$

Dividing both sides by 2

$\frac{2d}{2}=\frac{42}{2}\\d=21$

And 3 times as many daisies as lilies.

d=3l

Putting d=21

$21=3l\\3l=21$

Dividing both sides by 3

$\frac{3l}{3}=\frac{21}{3}\\l=7$

Total flowers planted = Tulips + Daisies + Lilies

Total flowers planted = 42 + 21 + 7 = 70

70 flowers were planted in all.

Keywords: division, addition

Learn more about addition at:

#LearnwithBrainly

3 0

2 years ago

There are 20 blue marbles and 10 red marbles in a bag .if a marble is drawn at random once ,what is the probability that it will

andrew11 [14]

Answer:

2/3

Step-by-step explanation:

First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.

Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.

Finally, you simplify the fraction. 20/30=2/3.

5 0

2 years ago

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