need the answer pls :)

Answer:

we will fail to reject the null hypothesis and conclude that the return rate is less than​ 20%.

Step-by-step explanation:

We are given;

Sample size;n = 6970

Success rate;X = 1334/6970 = 0.1914

Now, we want to test the claim that the return rate is less than p = 0.2, hence the null and alternative hypothesis are respectively;

H0: μ < 0.2

Ha: μ ≥ 0.2

The standard deviation formula is;

σ = √(x(1 - x)/n)

σ = √(0.1914(1 - 0.1914)/6970)

σ = 0.004712

Now for the test statistic, formula is;

z = (x - μ)/σ

z = (0.1914 - 0.2)/0.004712

z = -1.825

From the a-distribution table attached, we have a value of 0.03362.

This p-value gotten from the z-table is more than the significance value of 0.01. Thus, we will fail to reject the null hypothesis and conclude that the return rate is less than​ 20%.

There are 90 people who have no preference for their ice cream choice among the surveyed college students.

We have,

According to the given data, 15% of the surveyed college students have no preference for their ice cream choice.

To find the number of people with no preference, we need to calculate 15% of the total number of surveyed college students (600):

= 15% of 600

= (15/100) x 600

= 0.15 x 600

= 90

Therefore,

There are 90 people who have no preference for their ice cream choice among the surveyed college students.

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The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

This is how the equation can be solved-

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Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

Answer: 42

Step-by-step explanation: trust me

Answer:

Step-by-step explanation:

x -14= 12 * 7

x=84+14

x=98

The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)

Based on the given question, we have certain variables that can be utilized for our calculations.

K = (-4, -6)

First, find the equation of the reflection line

The reflection line is y = -7.

This can be expressed as

y = a = -7

The image of the reflection is then calculated as

K' = (x, -(y + 2|a|))

Replace the given or established values in the equation mentioned earlier, resulting in the following expression

K' = (-4, -(-6 + 2 * 7))

Evaluate

K' = (-4, -8)

Hence, the image coordinates of K′ are (-4, -8).

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The radius of the cylinder should be approximately 2.040 inches long.

The volume required to store the powder is the sum of the volumes of the cylinder and the cone, whose expression is in this case:

204 in³ = (π/3) · r² · (4 in) + π · r² · h

204 in³ = (4/3 + h) · π · r²

204 in³ = (4/3 + 7 · r) · π · r²

204 = (4π/3) · r² + 7π · r³

7π · r³ + (4π/3) · r² - 204 = 0

The positive roots of the cubic equation are:  

r ≈ 2.040 in

The radius of the cylinder should be approximately 2.040 inches long.

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Answer:

if m is the midpoint of AB

then,AM will be equal to MB

Therefore,

\(3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41\)

Answer: the transformation of ABC to MNO preserves both side lengths and angle measures of the triangle.

Step-by-step explanation:

Answer:

B - The transformation of triangle ABC to triangle MNO preserves both the side lengths and angle measures of the triangle.

9514 1404 393

Answer:

  62.5 oz of 100%

Step-by-step explanation:

Let p represent the number of ounces of pure syrup. Then (100-p) is the number of ounces of 60% syrup. The amount of maple syrup in the desired mix is ...

  p +0.60(100 -p) = 0.85(100)

  0.40p +60 = 85 . . . . . . . . . . . simplify

  0.40p = 25 . . . . . . . . . . subtract 60

  p = 62.5 . . . . . . . . . divide by 0.4

62.5 ounces of pure syrup should be mixed with the diluted syrup to make 100 ounces of 85% maple syrup.

_____

The other 37.5 ounces will be 60% syrup.

Answer:

The slope of the line is 3.

Step-by-step explanation:

It is 3 because if you plug the numbers into the formula (y2-y1/x2-x1) you get 3/1, which simplifies to 3.

Step-by-step explanation:

Well you have to do y2-y1/x2-x1

Which you take the points (-4,2) and (-3,5). It doesn't matter what points you choose because they will end up as the same answer.

Now you do 5-2/-3-(-4)

I think you will be able to solve the answer now! Hope this helps <3

Answer:

4

a. 12

b. 8

c. 30

d. 40

Step-by-step explanation:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

so first its 4

a. 12

b. 8

c. 30

d. 40

i will try to explain:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

Answer: area = 697.5 area

The value of z in the circle is 2.3 units

In the question, the following statements represents the given parameters

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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Answer:

$840.77

Step-by-step explanation:

Part A

The temperature of the water (in degrees Fahrenheit) after Raul added the ice cubes is 72.3 + (-39.1).

Part B

Rewrite the expression in part A by breaking up each of the place values. In this case, the place values are tens, ones, and tenths.

72.3 + (-39.1) = 70 + 2 + 0.3 + (-30) + (-9) + (-0.1)

Part C

Next, rearrange the expression in part B using the Commutative Property so the terms with the same place value are next to each other.

70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)

Part D

Now group the terms in the expression in part C using the Associative Property.

70 + (-30) + 2 + (-9) + 0.3 + (-0.1) = [70 + (-30)] + [2 + (-9)] + [0.3 + (-0.1)]

Part E

Simplify the expression in part D to find the temperature of the water after Raul added the ice cubes. Show your work.

Part F

Several minutes later, Raul decides to measure the water temperature again. He finds that the temperature changed by -0.6°F. What is the temperature of the water now?  

The initial temperature of the water was 33.2°F. After several minutes, the temperature of the water changed by -0.6°F. So, the new temperature of the water is 33.2 + (-0.6) =

(30 + 3) + [0.2 + (-0.6)] = 33 + (-0.4) = 33 – 0.4  = 32.6°F.

Answer:

The expected number of tests necessary for the entire group of 304 people is 180.0325

Step-by-step explanation:

Probability of person being positive = p = 0.04

Probability of person being negative = q = 1-0.04=0.96

Number of people in each group = 19

We will use binomial over here

Probability of no test positive :

\(P(x=0) = ^{19}C_0 (0.04)^0 (0.96)^{19} =0.460419201958\)

P( at least one tests positive) = 1-P( no one tests positive)= 1-0.460419201958= 0.539580798042

Expected number of tests for each group = 1(0.460419201958)+20(0.539580798042) = 11.2520351628

Number of groups =\(\frac{\text{Total population}}{\text{no. of people in each group}}=\frac{304}{19}=16\)

Expected number of tests necessary for the entire group of 304 people:

=\(\text{Expected number of tests for each group} \times \text{No. of groups}\)

=\(11.2520351628 \times 16\)

=180.0325

Hence The expected number of tests necessary for the entire group of 304 people is 180.0325

Answer:

the product does not exits

The product matrix is,

\(\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right]\)

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

here, we have,

two matrices,

A = 2×3

and, B= 3×2,

as the no. of column of A = the no. of row of B

the can be a product matrix of order 2×2.

Now, we get,

the product matrix is,

\(\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right]\)

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Based on the study, the researcher may develop a hypothesis that smoking is associated with an increased risk of depression.

An explanation that is put up for a phenomena or a group of facts is called a hypothesis. It is a speculative explanation that needs more testing and improvement because it is supported only by a small body of data. A hypothesis is not a tested theory, but rather a point of departure for more research. A hypothesis is examined in scientific study by testing and observationit. The purpose of hypothesis testing is to evaluate the likelihood that the suggested explanation is accurate and to spot any discrepancies or holes in the available data. The act of testing and improving hypotheses is a crucial component of the scientific method since it ensures that scientific ideas are supported by reliable data.

How to solve?

This hypothesis can then be tested through further research, such as conducting a larger study with more participants, or conducting experiments to evaluate the potential mechanisms by which smoking may affect the development of depression.

The researcher may also use statistical methods to analyze the data collected from the study, in order to determine the significance of the relationship between smoking and depression.

If the hypothesis is supported by the evidence, the researcher may conclude that smoking is a risk factor for depression, and may recommend interventions or preventative measures to reduce the risk of depression among smokers.

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Answer:

Volume = 1539.38 cm³

Surface Area = 747.7 cm²

Step-by-step explanation:

Volume = πr² h

V = π(7)²(10)

V = π(49)(10)

V = 490π

V = 1539.38 cm³

Surface Area = 2πrh + 2πr²

SA = 2π(7)(10) + 2π(7)²

SA = 2π(70) + 2π(49)

SA = 140π + 98π

SA = 238π

SA = 747.7 cm²

Answer:

1st one is C and the second 1 is F

Step-by-step explanation:

The investment amount is $37263.09.

Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to period of time.

Formula of continuous compound interest rate;

P(t) = P₀ \(e^{rt}\) , where P₀ is the principal amount, r is the interest rate and t is the time period.

Given that the Alang is going to invest with the continuous compound interest rate 5.7%.

Using the formula of continuous compound interest rate,

P(t) = P₀ \(e^{rt}\)

P(t) = $113000 x    \(e^{(5.7)(5)}\)

P(t) = $37263.09

Therefore, the investment amount is $37263.09.

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the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

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The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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The positive integer for the trigonometric equation is k = 2

Given data ,

There is exactly one real x ∈ (0, π/2) such that (tan²x/2)(cot⁴x+1) ( csc²x+tan²x)=1

On simplifying , we get

(tan²x/2)(cot⁴x+1)(csc²x+tan²x) = 1

(sin²x/cos²x)(cos⁴x/sin⁴x + 1)(1/sin²x + sin²x/cos²x) = 1

(sin²x/cos²x)(1/cos⁴x + sin⁴x/cos⁴x + 1/sin²x + sin⁴x/cos²x) = 1

(sin²x/cos²x)((1+sin⁴x)/cos⁴x + 1/sin²x + sin⁴x/cos²x) = 1

(sin⁶x + sin⁴x cos²x + cos⁶x)/(sin²x cos⁴x) = 1

On further simplification of the trigonometric relation , we get

(sin²x + cos²x)²/(sin²x cos⁴x) = 1

(1/cos⁴x) + (2/sin²x cos²x) + (1/sin⁴x) = 1

Multiplying both sides by sin⁴x cos⁴x, we get:

sin⁴x + 2 cos²x + cos⁴x = sin⁴x cos⁴x

Simplifying further, we get:

cos⁴x - 2 cos²x + sin⁴x = 0

Let y = cos²x. Then, the above equation becomes:

y² - 2y + (1 - y)² = 0

Expanding and simplifying, we get:

y² - 2y + 1 = 0

This is a quadratic equation with solutions y = 1 and y = 1/2. Since x is in the interval (0, π/2), we can take y = cos²x = 1/2.

Now, we have cos²x = 1/2 and sin²x = 1 - cos²x = 1/2. Therefore, we can write:

cos²(2019x) = cos²x⁴ = (cos²x)²² = (1/2)²² = 2⁻⁴

sinⁿx = (sin²x)^(n/2) = (1/2)^(n/2)

So, we need to find the positive integer k such that cos²(2019x) = sinᵏx. Substituting the values of cos²x and sin²x, we get:

2⁻⁴ = (1/2)^(k/2)

2⁻⁴ = 2^(-2k)

-4 = -2k

k = 2

Hence , the positive integer k is 2

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By evaluating the quadratic equation, we will see that the values of the expressions are:

f(-1) + f(4) = 27

f(-1) - f(4) =  -35

Here we need to work with the quadratic function:

f(x) = x^2 + 6x + 1

First, we want to find the value of the expression:

f(-1) + f(4)

To get that, we need to evaluate the quadratic equation:

f(-1) = (-1)^2 + 6*(-1) + 1

f(-1) = 1 - 6 + 1 = -4

f(4) = 4^2 + 6*4 + 1

f(4) = 16 + 24 + 1 = 31

Then the first expression is:

f(-1) + f(4) = -4 + 31 = 27

The second expression is:

f(-1) - f(4)

We already know these values, we can replace these to get:

f(-1) - f(4) = -4 - 31 = -35

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