7th grade math help me please :(

If a fourth plant produces 400 widgets in 60 days, which statement is true?

USPshnik [31]

The complete question in the attached figure

the statements are
1) It makes less than plant B
2) It makes the same as plant A
3) It makes more than plant C

we know that
analyzing the graph

plant A
for x=40 y=100
for x=50 y=200
that means
the production in 10 days is 100 widgets
then
the production in 60 days will be 6*100----> 600 widgets
so
plant A production > plant fourth production
plant fourth production < plant A production

plant B
for x=40 y=0
for x=60 y=100
that means
the production in 20 days is 100 widgets
then
the production in 60 days will be 3*100----> 300 widgets
so
plant B production < plant fourth production
plant fourth production > plant B production

plant C
for x=20 y=0
for x=40 y=100
that means
the production in 20 days is 100 widgets
then
the production in 60 days will be 3*100----> 300 widgets
plant C production < plant fourth production
or
plant fourth production > plant C production

therefore

the answer is
3) It makes more than plant C

7 0

3 years ago

Read 2 more answers

To plan the budget for next year a college must update its estimate of the proportion of next year's freshmen class that will ne

Naily [24]

Answer:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=67 represent the applicants who request financial aid

$\hat p=\frac{67}{150}=0.447$ estimated proportion of applicants who request financial aid

$p_o=0.35$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of applicants who request financial aid is higher than 0.35.:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

5 0

3 years ago

What do Jews call the first five books of the Bible? Select the best answer from the choices provided.

nexus9112 [7]

The correct answer would be D) or the Torah

7 0

3 years ago

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Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour

FromTheMoon [43]

Let's say Miles Carlos drove = x and taook time = t1
Miles Maria drove = y and took time = t2
But the total mile both drove = 233 and took time = 4.4 hrs
So , x + y = 233
t1 + t2 = 4.4

However, speed = distance / time

for Carlos, 55 = x / t1
for Maria, 50 = y / t2

x + y = 233
55 t1 + 50 t2 = 233

t1 + t2 = 4.4
50 t1 + 50 t2 = 220

5 t1 = 13
t1 = 2.6 hrs for Carlos

t2 = 1.8 hrs

Therefore Maria drove 4.4 hrs

8 0

3 years ago

Stephanie can type around 70 words per minute. She has less than a week to type her final research paper. If the paper has to be

svetlana [45]

350*15 is 5250. That is the total words needed to reach her assignment paper goal. Since there are 60 minutes in an hour we would need to figure out how many words she can type per hour. 60*70 is 4200. Then we divide 5250 by 4200. We get 1.25. Soooo our final answer would be 1 hour and 15 minutes need to be set aside to type her assignment. I really hope this is correct it makes sense to me. If not i am truly sorry.

8 0

3 years ago