In a study conducted from 1960 to 1980 it was found that the annual rainfall in a particular area was normally distributed with a mean of 850 mm and a standard deviation of 100 mm. You believe that the annual rainfall has increased over time and that the average is now over 950 mm. You look at the rainfall records for the last 10 years and find that the mean for the sample is 910 mm with a standard deviation of 92 mm. You assume that the annual rainfall is still normally distributed and that the standard deviation has not changed. You do a hypothesis test, using a 5% level of significance, to confirm your beliefs about the annual average rainfall. For the hypothesis test that you perform, what is the value of the test statistic?

Answer:

16.8

Step-by-step explanation:

Answer:

5.60

Step-by-step explanation:

To find what 10 pens cost we have to go down to the cost of 1 pen first.

If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.

\(\frac{1.68}{3} = 0.56\)  

If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.

0.56 × 10 = 5.60

Answer:

21

Step-by-step explanation:

substitution

Answer:

21

Step-by-step explanation:

Plug in x as -2.

3(-2)² - 4(-2) + 1

3(4) - - 8 + 1

12 + 8 + 1

= 21

Answer:

8 3/4

Step-by-step explanation:

12 1/2 is basically just 12 2/4 becase 2/4 is the same as one half so good luck :)

Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.

The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

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Answer:

75c

Step-by-step explanation:

Step 1 - The arithmetic operations can be used in order to determine the correct expression which s equivalent to (c - 25

Step 2 - Write the given expression.

= (c - 25c)

Step 3 - SImplify the above expression.

= 75c

Answer:

-24c

Step-by-step explanation:

When you have 2 numbers with opposite signs, you subtract and take the sign of the larger number.

Hope This Helps! :) Plz Mark Brainliest if you can!

Answer:

sum of two even numbers will always be even. conjecture just means to make a generalization based on patterns

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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Answer:

y=-1/3x+1

Step-by-step explanation:

Slope-Intercept Form: y=mx+b

m is the slope

b is the y-intercept

In the given statement it tells us the point is (-3,1).

-3 is the x-intercept while 1 is the y-intercept

In the given statement it tells us the slope is -1/3

Plug in the m for -1/3 and the b for 1

y=-1/3x+1

Hope this helps.

Answer:

x = 8 or x = -8

Step-by-step explanation:

Answer:

absolute value will always be positive

the answer is x=8

Answer:

The lie from the statements below is:

"Your employer can match your investment contribution in a ROTH IRA or Traditional IRA."

While it is true that you can contribute to both a Roth IRA and Traditional IRA and purchase investments such as low-cost index funds, employers cannot match your investment contributions in an IRA. However, employers can match your investment contributions in a Roth 401k or Traditional 401k, which are retirement accounts offered by employers.

Answer:8

Step-by-step explanation:divide 136 with 17 to see how many tons needed

Answer:

198 inches^3

Step-by-step explanation:

Volume of a rectangular prism = Length × width × height

Length = 11 inches

Width = 6 inches

Height= 3 inches

Volume of a rectangular prism = Length × width × height

= 11 inches × 6 inches × 3 inches

= 198 inches^3

The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches

For 13 months the membership is done using the equivalent of two given monthly fees for community and workout gym.

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value. By dividing both numbers by the same number, one can convert a division problem into an analogous problem while keeping the ratio between the two numbers constant. The equivalent is defined as something that is almost identical to or equal to another object. Two numbers that are equivalent are (2+2) and 4. These two things are equivalent since 2+2=4. equal to make equivalent.

Let x be the months

then community month= workout month

60+70x=190+60x

⇒70x-60x=190-60

⇒10x=130

⇒x=13 be the months be the working.

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Answer:

b

Step-by-step explanation:

e2021

Answer:

Which graph represents y = \(\sqrt{x}\)

Step-by-step explanation:

Answer B Edge 2022

When the domestic interest rate (i) decreases, the exchange rate (E) on the demand-and-supply diagram for domestic assets is expected to change.

When the domestic interest rate (i) decreases, it affects the exchange rate (E) on the demand-and-supply diagram for domestic assets. As the domestic interest rate decreases, it becomes less attractive for foreign investors to hold domestic assets, such as bonds or stocks, due to lower returns. This leads to a decrease in the demand for domestic assets by foreign investors. Consequently, there is a decrease in the demand for the domestic currency required to purchase these assets, causing the exchange rate to depreciate. In other words, the decrease in the domestic interest rate leads to a depreciation of the domestic currency against foreign currencies.

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when the depth is 1.25 and the pool is holding 1000 gallons of water, the radius of the pool is 4.

To solve this problem, we'll use the concept of joint variation, which states that a variable varies jointly with the product of two or more other variables. In this case, the number of gallons, g, varies jointly with the square of the radius, r², and the depth, d.

We can set up a proportion to solve for the radius, r, when the depth is 1.25 and the pool is holding 1000 gallons of water.

Let's use the initial values to set up the proportion:

(g₁ / r₁²d₁) = (g₂ / r₂²d₂)

where:

g₁ = 800 gallons (initial number of gallons)

r₁ = 2 (initial radius)

d₁ = 4 (initial depth)

g₂ = 1000 gallons (target number of gallons)

r₂ = unknown (target radius)

d₂ = 1.25 (target depth)

Plugging in the values, we have:

(800 / (2² * 4)) = (1000 / (r₂² * 1.25))

Simplifying the equation:

800 / 16 = 1000 / (1.25 * r₂²)

50 = 1000 / (1.25 * r₂²)

Multiplying both sides by (1.25 * r₂²):

50 * 1.25 * r₂² = 1000

62.5 * r₂² = 1000

Dividing both sides by 62.5:

r₂² = 1000 / 62.5

r₂² = 16

Taking the square root of both sides:

r₂ = √16

r₂ = 4

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The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.

The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

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Answer:

Yes, Tori had enough money to buy the DVD.

Step-by-step explanation:

The total cost of the DVD with tax included would be $18.13. Yes, Tori had enough money to buy the DVD.

Discovering commonalities and variations among objects or people encountered daily is beneficial in several ways:

Decision-Making: Recognizing similarities and variations is key to making smart choices, such as selecting products or services based on their features, benefits, and drawbacks.

Problem Solve: Recognizing patterns and distinguishing features can assist with problem-solving by helping you pinpoint the causes of issues and create custom solutions.

Understanding commonalities and differences among people can enhance communication and relationships, enabling you to empathize with them, appreciate diverse viewpoints, and adjust your communication style appropriately.

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The given statement based on t-test for dependent means representing

significant difference in the scores of a group is true.

The t-test for dependent means, also known as the paired t-test.

It is used to determine whether there is a significant difference between two sets of scores that are related in some way.

When the same group of respondents is tested at two different points in time.

It is a common statistical test used to analyze pre-test/post-test data, or data from within-subjects designs.

The test assumes that the differences between the two sets of scores are normally distributed.

Compares the mean difference between the two sets of scores to the standard error of the difference.

If the mean difference is significantly different from zero.

Then it can be concluded that there is a significant difference between the two sets of scores.

Therefore, the above statement of t-test to determine the significant difference in the score is true.

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Answer:

8

Step-by-step explanation:

the denominator of 5/8 is 8

the denominator of 3/4 is 4

4 can be multiplied by 2 to get 8. If we multiply the entire fraction by 2/2, the fraction changes into 6/8

Now 5/8 and 6/8 share the same denominator and it's the smallest denominator shared between the two.

Answer:

h = 61.83 feet

Step-by-step explanation:

length of string from Hector to kite = c = 86 feet.

and 4 feet off the ground.

angle A = 42° 15' 30"

req'd:  how high is the kite?

angle A = 42° + 15' (1° / 60') + 30"(1° / 3600'')

angle A = 42.26

to get the side a (height of kite) 4 feet above ground: use Sin(A) = opp / hyp

Sin(A) = a / c

Sin(42.26) = a / 86

a = Sin(42.26) * 86

a = 57.83 feet

therefore, the height of the kite from the ground = h = 57.83 + 4

h = 61.83 feet

Psychologists theorize that the mean time on the test for non-schizophrenics (1) will be less than the mean time for schizophrenics (2).

We have two groups: schizophrenics and non-schizophrenics. The time spent on the psychological test is used as a measure of cognitive function.

Let's denote the mean time for schizophrenics as μ2 and the mean time for non-schizophrenics as μ1.

According to the psychologist's theory, they expect μ1 < μ2, meaning that the mean time for non-schizophrenics will be less than the mean time for schizophrenics.

This hypothesis can be tested using statistical analysis such as a t-test or a hypothesis test comparing the means of two independent groups.

Based on the psychologist's theory, they anticipate that the mean time on the psychological test for non-schizophrenics will be lower than the mean time for schizophrenics. Statistical analysis can be conducted to test this hypothesis and determine if there is evidence to support the theory.

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The index forms is expressed as 9. 40  × 10¹²

Index forms are simply described as representation of a number in the form of an exponential expression or a single number that is raised to a number or variable.

Other names for index forms are standard form and scientific notation.

It also explains how many times a number contains itself.

From the information given, we have that;

2 x 2.2 x 10^12 × 1.5 × 10^12/2.2 x 10^12 - 1.5 x 1012

Represented as;

2(2.2) × 10¹² × 1.5 × 10¹²/ 2.2 × 10¹² - 1. 5 × 10¹²

We can add or subtract the index forms because they have the same exponential value, we have;

4.4(1.5)× 10²⁴/0.7  × 10¹²

Find the quotient

9. 4  × 10¹²

Hence, the value is 9. 4  × 10¹²

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Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

Answer: Ask three before me!

Step-by-step explanation: Ask three before me!

Answer:

2

Step-by-step explanation:

-3x - 12 = 40 - 8x - 21x

-3x + 8x + 21x = 40 + 12

26x = 52

x = 52/26

x = 2

Answer:

x=-14/13, or -1 1/13

Step-by-step explanation:

The linear function f(x) is y = (4/3)x - 7.

To determine the linear function f(x) given the values of f(6) = 1 and f(9) = 5, we can use the point-slope form of a linear equation.

The point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line, and m is the slope of the line.

Using the given points (6, 1) and (9, 5), we can calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

m = (5 - 1) / (9 - 6)

m = 4 / 3

Now, substitute one of the given points and the slope into the point-slope form:

y - 1 = (4/3)(x - 6)

Simplifying the equation:

y - 1 = (4/3)x - 8

y = (4/3)x - 7

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