A researcher wants to determine if college students typically drink more than 3 times per week. She collects data on 125 college students. From the sample, she finds that they drank an average of 3.5 times per week, with a standard deviation of 2.3 drinks. Use a 5% significance level for any testing. Based on the scenario above, which of the following is TRUE regarding the type of test that would need to be performed?

a. It is a two-tailed test.
b. It must be completed using the critical value approach.
c. It is a one-tailed test.
d. We reject the null and prove our claim.
e. We would need to estimate the significance level from the data.
f. Hypothesis testing cannot be performed on percentages.

The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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Answer:

Step-by-step explanation:

1.63 meters = 163 centimeters. Formula

Answer:

Square

Step-by-step explanation:

Probably square

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

Ok ill get back to you when I figure it out so see you in 5 minutes!

Answer:

Step-by-step explanation:

Answer:

A. 2/3

Opposite Sides of a Parallelogram

The two pairs of sides in a parallelogram are parallel to each other.

Parallel lines have the same slope.

The slope of the opposite sides of a parallelogram are congruent (equal in measure).

Given:

Slope of PQ = 2/3

Slope of QR = -1/2

For PQRS to be a parallelogram, the slope of SR must be same as the slope of PQ.

This implies that: Slope of SR = Slope of PQ = 2/3.

Therefore, based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.

Answer:

7

Step-by-step explanation:

a2+b2+c2

4^2+6^2= c2

16+36=52

C=52

√52=7

C=7

Answer:

7

Step-by-step explanation:

This is a right triangle so we can find the value of c using the pythagoras' teorem

c^2 = a^2 + b^2

c^2 = 4^2 + 6^2

c^2 = 52

c = 7 approximately

Answer:

A

Step-by-step explanation:

the final answer after multiplying them all is 2ax^2, but since its a triangle you multiply that by 1/2 to get ax^2

Answer:

is super easy Step-by-step explanation Do you?

Answer:

Step-by-step explanation:

Hexahedron

A hexahedron has 6 faces. A regular hexahedron is a cube. 3 square faces meet at each vertex.

If the hexahedron is not regular, depending on how those faces are arranged, a slice near a vertex may intersect 3, 4, or 5 faces. The first attachment shows 3- and 4-edges meeting at a vertex. If those two vertices were merged, then there would be 5 edges meeting at the vertex of the resulting pentagonal pyramid.

A slice near a vertex may create a triangle, quadrilateral, or pentagon.

Icosahedron

An icosahedron has 20 faces. The faces of a regular icosahedron are all equilateral triangles. 5 triangles meet at each vertex.

If the icosahedron is not regular, depending on how the faces are arranged, a slice near the vertex may intersect from 3 to 19 faces.

A slice near a vertex may create a polygon of 3 to 19 sides..

Answer:

96.4

Step-by-step explanation:

so you set it up like 56.2+27.4=83.6 so 180-83.6 is 96.4 that is the value of f. hope this helps have a good day

The angle of f is 96.4 degrees.

The sum of angles on a straight line is equals to 180 degrees. Therefore, angle f can be found as follows;

Therefore,

f + 56.2 + 27.4 = 180°

f = 180 - 56.2 - 27.4

f = 96.4 degrees

The angle of f is 96.4 degrees.

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If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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Part A : The domain of this function is [3, ∞) as (x - 3) ≥ 0.

Part B : The range of this function is (- 17, ∞).

Part C : The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) is defined by g(x) = - log4(x - 3) + 2.

The domain of this function is [3, ∞) as (x - 3) ≥ 0.

The range of this function is (- 17, ∞).

The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

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She should divide both sides by -5 while she multiplied by -5 on other side and she also did not change the > symbol to a < symbol

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has different meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are shared.

We are given

-5x - 3.5>6.5

Since, we have to solve for x

so, we will isolate x on anyone side

step-1:

Add both sides by 3.5

-5x - 3.5+3.5>6.5+3.5

-5x>10

step-2:

Divide both sides by -5

we know that whenever we divide both sides by negative sign , it's inequality gets revered

so, we get

-5x/5<-50/-5

we get

x<10

so,

She should divide both sides by -5 while she multiplied by -5 on other side and she also did not change the > symbol to a < symbol

The complete question is : Parul attempted to solve an inequality but made one or more errors. Her work and the graph she drew are shown below. What errors did Parul make? Check all that apply. She added 3.5 to both sides when she should have subtracted. She should have divided both sides by as her first step. She divided one side by -5 while multiplying the other side by -5. She did not change the > symbol to a < symbol. She used a closed circle instead of an open circle on the number line.

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The percentage of the decrease in the value of the XYZ Company stock is 16%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The decrease in the value of the stock is $25 - $21 = $4.

To find the percent decrease, we need to divide the decrease by the original value and then multiply by 100:

Percent decrease = (Decrease / Original value) x 100

In this case, the original value is $25, so:

Percent decrease = (4 / 25) x 100 = 16%

Therefore, the percentage of the decrease in the value of the XYZ Company stock is 16%.

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Answer:

The correct answers are A and E

Step-by-step explanation:

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

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Answer:

\( \sqrt{2^5} \)

Step-by-step explanation:

First, deal with the product of the two powers of 2 inside the parentheses.

The two factors are powers of 2, so add the exponents.

\( (2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})^2 = \)

\( = (2^{\frac{1}{2} + \frac{3}{4}})^2 \)

You need a common denominator, 4, to add the fractions.

\( = (2^{\frac{2}{4} + \frac{3}{4}})^2 \)

\( = (2^{\frac{5}{4}})^2 \)

Now you have an exponent raised to an exponent. Multiply the exponents and reduce the fraction.

\( = 2^{\frac{5}{4} \times 2} \)

\( = 2^{\frac{10}{4}} \)

\( = 2^{\frac{5}{2}} \)

When a fraction is an exponent, the numerator is an exponent and the denominator is the index of the root. A denominator of 2 means a root index of 2 which means square root.

\( = \sqrt{2^5} \)

Answer:

-1 < 1

Step-by-step explanation:

-1 is smaller than 1, if we see it on a number line, we find that 1 is more towards right than -1 which means that 1 is greater than -1

Hope my answer helps :)

Step-by-step explanation:

- 35/10(2-15n/10) 145n/10 - 7 - 6n

-70/10 +35*15n/100.145n/10 -7-6n

-7 + 525n/100.145n/10 -7- 6n

-14 +5.25n .14.5n -6n

-14 +76.125n^2 -6n is final answer

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

Question options :

A. There is sufficient evidence to reject the claim

u < 99.

B. There is sufficient evidence to support the claim

u < 99.

C. There is not sufficient evidence to reject the claim

u < 99.

D. There is not sufficient evidence to support the claim

u< 99.

Answer:

B. There is sufficient evidence to support the claim

u < 99.

Step-by-step explanation:

We construct the n*ll and alternative hypotheses to support our claim

The n*ll hypothesis :H0

The alternative hypothesis : Ha

N*ll hypothesis =H0: u=99

Alternative hypothesis =Ha: u<99

So if n*ll hypothesis (H0) u=99 is rejected, then we accept the alternative hypothesis that u<99

we can therefore have sufficient evidence to support our claim that u<99

Answer:

\( \frac{16}{33} \)

Step-by-step explanation:

\(x = 0.48... \\ 100 \times x = 0.48 \times 100 \\ 100x - x = 48.48.. - 0.48 \\ 99x = 48 \\ \frac{99x}{99} = \frac{48}{99} \\ x = \frac{16}{33} \)

Answer:

4s

Step-by-step explanation:

Equate the equations and solve for x:

\(-3x^2 + 24x + 3=-4x^2 + 25x + 15\)

\(\implies x^2 -x -12=0\)

\(\implies x^2 -4x+3x -12=0\)

\(\implies x(x-4)+3(x-4)=0\)

\(\implies (x+3)(x-4)=0\)

\(\implies x=-3, x=4\)

As time is positive, x = 4

The time at which the water balloons collided at their highest point is 7 seconds after the launch.

To find the time at which the two water balloons collided at their highest point, we need to determine the time at which the sum of their heights is maximized. The sum of the heights is represented by the sum of the two quadratic functions.

Given the functions:

y = -3x² + 24x + 3

y = -4x² + 25x + 15

The sum of the heights, S(x), is:

S(x) = (-3x² + 24x + 3) + (-4x² + 25x + 15)

Combine like terms:

S(x) = -7x² + 49x + 18

To find the time when the sum of the heights is maximized, we need to find the x-coordinate of the vertex of the parabolic function S(x). The x-coordinate of the vertex of a quadratic function in the form ax² + bx + c is given by:

x vertex = -b / (2a)

In this case, for S(x) = -7x² + 49x + 18:

a = -7

b = 49

Calculate the x-coordinate of the vertex:

x vertex = -49 / (2 * -7)

x vertex = 7

Now that we have the x-coordinate of the vertex, we can find the corresponding time by plugging it into either of the original functions. Let's use the first function for simplicity:

y = -3x² + 24x + 3

When x = 7:

y = -3(7)² + 24(7) + 3

y = -147 + 168 + 3

y = 24

Therefore, the time at which the water balloons collided at their highest point is 7 seconds after the launch.

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Answer:

left

Step-by-step explanation:

if the mouth is eating on the number it's left but if the mouth is eating on the X is going to point to the right

Answer:

(-3, -0.5)

Step-by-step explanation:

(-8 + 2) = -6 / 2 = -3

(-6 + 5) = -1 / 2 = -0.5