What is the area of this figure?

Please help me with these 5 problems!!!

zalisa [80]

1. let the score on 1st test be = x

Given average is = 92

2nd tests scores are = 97 (assume this as y)

3rd test score = 89 (assume this as z)

Average = $\frac{x+y+z}{3}$

$92=\frac{x+97+89}{3}$

$276=186+x$

$x=90$

Hence, 1st day score was 90.

2. Let the original recipe made x cookies

As given she doubled her recipe so 2x cookies

Her brothers ate 8 cookies, this gives 2x-8 cookies left

She gave 2 dozen or 24 cookies to the neighbor and left with 12 cookies, it becomes $2x-8-24=12$

This gives $2x=44$

or $x=22$

Hence 1 recipe makes 22 cookies.

3. As given in the table,

Time used in total by boys = 255 minutes

Time used by girls in total = 213 minutes

Time used for school work by boys = 33 minutes

Time used by boys other than schoolwork = 255-33 = 222 minutes

Time used for school work by girls = 72 minutes

Time used by girls other than schoolwork = 213-72 = 141 minutes

How many more minutes per week do boys spend using the internet for purposes other than schoolwork then girls = 222-141 = 81 minutes

Hence, boys use 81 more minutes than girls for work other than schoolwork.

4. Total amount by two films = $775 million

Let x be the receipts of the second highest box office film.

Let x + 97 be the receipts of the highest one.

Equation becomes $x+x+97=775$

$2x+97=775$

$2x=678$

$x=339$

Hence highest receipt movie brought in $339+97=436$

The film with highest receipts bought in $436 million.

5. Vice President elected in the year = 1944

Died in the year = 1972

Total time in between = $1972-1944=28$ years

Age at the time of death = 88

So, he was elected 28 years back and that time his age was = $88-28=60$

He was elected at the age of 60 years.

6 0

3 years ago

ANSWER IT PLEASEEEEEEEEEE THANK YOU SO MUCH HAVE A NICE DAY !!!!

Sonbull [250]

Answer:

56 feet, I think.

Step-by-step explanation:

3 0

2 years ago

If 1 pound of candy is 3.50 how much candy can you get with one dollar?

polet [3.4K]

Answer:

Step-by-step explanation:

16 divided by $3.50 = 4.5

4 0

3 years ago

Read 2 more answers

Here is a picture of a cube, and the net of this cube. What is the surface area of this cube? Enter your answer in the box. ft²

kobusy [5.1K]

The surface area of the cube is 1536 square feet because (16×16)×6=1536 square feet. Hope it help!

3 0

3 years ago

Read 2 more answers

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

3 years ago