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2 years ago

Please heelllppppppoo

Mathematics

1 answer:

Setler [38]2 years ago

7 0

Answer:

m<r =75

PS=2.1 cm

Step-by-step explanation:

they are equal so you should be able to figure it out eventually

You might be interested in

Write a function for:

deff fn [24]

Answer:

Step-by-step explanation:

Let us have y as the output and x as the input

5 is less than twice the input

twice the input is x * 2 = 2x

so we have 2x-5

5 0

2 years ago

Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans

statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where $\bar{x}$ is the mean weight $\sigma$ is the standard deviation $t_{\alpha/2}$ is the critical value from t-table and n is the sample size.

The term $t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } )$ is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0

2 years ago

The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume

ikadub [295]

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis: There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis: There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂

To check hypothesis we have the formula

Standard error= $\sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} } }$

= $\sqrt{2067128.4706}$

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ - x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 - 24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

3 0

2 years ago

The bus driver made 6 stops on his way into town. No passengers exited the bus. By stop 3, there were 9 passengers on the bus.

vova2212 [387]

Answer:

b.14

Step-by-step explanation:

xoxoxoxoxoxoxoxoxo you're welcome

3 0

3 years ago

A chili recipe calls for 2 pounds of ground pork and 3.5 pounds of ground beef. The cost of ground beef per pound is $0.20 less

dmitriy555 [2]

Answer: $\$1.75\ \text{per pound}$

Step-by-step explanation:

Given

The recipe calls for 2 Pounds of ground pork and 3.5 pounds of ground beef

Suppose x is the cost of ground pork

So, the cost of ground beef is $2x-0.2$

The total cost of meat is $\$15.05$

The total cost can also be written as

$\Rightarrow 2\times x+3.5\times (2x-0.2)=15.05\\\Rightarrow 2x+7x-0.7=15.05\\\Rightarrow 9x=15.75\\\Rightarrow x=\frac{15.75}{9}=\$1.75\ \text{per pound}$

So, the cost of ground pork is $\$1.75\ \text{per pound}$

5 0

2 years ago