If your p-value is .11, and the significance level is .05, what do you conclude?

The value of x in the secant intersection is 17 units.

The product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment.

Therefore,

7(7 + x) = 8(8 + 13)

49 + 7x = 8(21)

49 + 7x = 168

subtract 49 from both sides of the equation

7x = 168 - 49

7x = 119

divide both sides by 7

x = 119 / 7

x = 17

Therefore,

x = 17 units

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The hypothesis regarding the convincing evidence that the average number of colleges students apply to is accepted because  p-value is more than the chosen significance level.

The null hypothesis will be that the average number of colleges students apply to is equal to or less than 8. The alternative hypothesis would be that the average number of colleges students apply to is greater than 8.

We can apply a one-sample t-test to test this hypothesis. By doing so we can evaluate the t-statistic
t = (x'- μ) / (s / √n)
here
x' = sample mean,
μ = hypothesized population mean,
s = sample standard deviation,
n = sample size
(x'- μ) / (s / √n)
Staging values
(9.7 - 8) /(7) /√206)
=( 0.3) /( 7/ 14.35)
= (0.3) /(0.4)
= 0.75


Now, the p-value associated with this t-statistic using a t-distribution . The p-value in this case is  greater than the chosen significance level (usually 0.05), we will accept  the null hypothesis.

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The trigonometric ratios to the angle θ are given as follows:

a) cos(θ) = 0.9.

b) tan(θ) = -0.4.

c) sec(θ) = 1.1

d) csc(θ) = -2.5.

e) cot(θ) = -2.5.

The relation between the sine and the cosine is given as follows:

sin²(θ) + cos²(θ) = 1.

Hence the cosine is obtained as follows:

cos²(θ) = 1 - sin²(θ)

cos²(θ) = 1 - (-2/5)²

cos²(θ) = 1 - 4/25

cos²(θ) = 21/25

In the fourth quadrant, the cosine is positive, hence:

[tex]\cos{\theta} = \frac{\sqrt{21}}{5}[/tex]

cos(θ) = 0.9.

The tangent is the sine divided by the cosine, hence:

tan(θ) = -0.4/0.9

tan(θ) = -0.4.

The secant is one divided by the cosine, hence:

sec(θ) = 1/0.9

sec(θ) = 1.1.

The cosecant is one divided by the cosine, hence:

csc(θ) = 1/-0.4

csc(θ) = -2.5.

The cotangent is one divided by the tangent, hence:

cot(θ) = 1/-0.4

cot(θ) = -2.5.

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Only option B: (3, -2) is not a solution to this inequality out of the available answer options. This is due to the fact that this point's y-coordinate is smaller than -1/12, which defies the inequality y > -1/12.

We can use the steps listed below to solve the inequality -2-12y -1:

To both sides, add 2. -12y < 1

Divide the two sides by -12, remembering to invert the inequality sign when doing so: y > -1/12

Since y > -1/12, or any value greater than -1/12, is the answer to the inequality, y can have any value.

Because they all have y values of more than -1/12, options A, C, and D are all viable solutions to the inequality. All y values larger than -1/12 are included in option A, (-3,4); all y values between -1/12 and 3 are included in option C, (-1,3); and all y values between -1/12 and 1 are included in option D, (0,1).

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An expression represents the product of 3 and ((5/4)n+1.8) is 3.75n + 5.4

The correct answer is an option (D)

In the expression  ((5/4)n + 1.8), first we write the fraction 5/4 in the decimal form.

5/4 = 1.25

So, the expression ((5/4)n + 1.8) becomes,

 ((5/4)n + 1.8)

=   (1.25 n + 1.8)                         ..........(1)

Now consider the product of 3 and ((5/4)n + 1.8)

3 ×  ((5/4)n + 1.8)

= 3 × ((1.25)n + 1.8)                          ............(from (1))

= (3 × (1.25 n)) + (3 × 1.8)

= (3 × 1.25)n + 5.4

= 3.75n + 5.4

Thus, 3 ×  ((5/4)n + 1.8) = 3.75n + 5.4

The correct answer is an option (D)

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Which expression represents the product of 3 and (5/4n + 1.8)? (SHOW WORK PLEASE)

A) 5.55n

B) 9.15n

C) 3.75n + 1.8

D) 3.75n + 5.4

The distance between X and Y is 15 units. So, the correct answer is option C.

The distance between two locations on a plane is the length of the line segment connecting them.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}

Here, X(0, 6) and Y(9, -6), so

d =√((9 - 0)² + (-6 - 6)²)

= √(81 + 144)

= √(225)

= 15

Therefore, the required distance is 15 units.

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The point where the passenger gets on initially cannot be determined as it is undefined

The graph of the function s(θ) = sin(θ) is added as an attachment

a. The passenger gets on initially.

From the graph, this is when θ = 0

However, s(θ) = sin(θ) is undefined at θ = 0

This means that when the passenger gets on initially cannot be determined

b. The passenger reaches the bottom of the water pit.

From the graph, this is when s(θ) = sin(θ) equals -1

The values of θ at this point according to the graph are

θ = 3π/2 and θ = 7π/2

c. The passenger is halfway between the highest point of The Screamer and the ground level.

From the graph, this is when s(θ) = sin(θ) equals 0.5

The values of θ at this point according to the graph are

θ = π/6, θ = 5π/6, θ = 13π/6,  and θ = 17π/6

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1. The standard form of each quadratic function is given as follows:

a) (x + 4)(x - 1) = x² + 3x - 4.

b) (2x - 1)(3x - 1) = 6x² - 5x + 1.

2. The expression 8 - 6x + x² is not in standard form, as the coefficients are not in descending order.

The standard format of a quadratic function is given with the coefficients ordered in descending format as follows:

y = ax² + bx + c.

To transform from the factored form into the standard form, we multiply the terms then combine the like terms, hence:

a) (x + 4)(x - 1) = x² + 4x - x - 1 = x² + 3x - 4.

b) (2x - 1)(3x - 1) = 6x² - 2x - 3x + 1 = 6x² - 5x + 1.

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After 13 years the depreciation value of the vehicle will be $9253 if the vehicle is purchased for $20,700.

A percentage is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

V(n) = v₀ × (1-rate)ⁿ

V(n) is the value at year n (we want n =13 years)

V₀ is the starting value = $20,700

Rate is the depreciation rate expressed as a decimal = 0.06

n = years = 13

v(10) = 20700 × (1-0.06)¹³

= 20700×(0.94)¹³

= 20700×(0.447)

= 9252.9

= 9253 (approximately)

Therefore after 13 years the vehicle will cost $9253

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Answer:

The answer would be A. 3√10 blocks

Step-by-step explanation:

Hope this helps :))
Please let me know if im wrong :(

Answer:

3√10 blocks

Step-by-step explanation:

It's A I took the test

Answer:

Mrs Gregory started with 1 litre of concentrated cleaner, which is equal to 1000 millilitres of cleaner. (we have to convert litre to millilitres because " she used 200 millilitres to clean her kitchen)

She mixed the 1000 millilitres of cleaner with 10 litres of water, which is equal to 10,000 millilitres of water. This gives a total of:

1000 + 10,000 = 11,000 millilitres of cleaner solution

She used 200 millilitres of the solution to clean her kitchen, which leaves:

11,000 - 200 = 10,800 millilitres of cleaner solution

To fill the 600-millilitre spray bottles, she needs to divide the total amount of cleaner solution by the amount of solution in each bottle:

10,800 / 600 = 18

Therefore, Mrs Gregory filled 18 spray bottles.

The length of the hypotenuse is 1.5√2 inches

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

m∠C = 45°

a = 1.5 in

The length of the hypotenuse in a 45-45-90 Triangle is

Hypotenuse = Leg * √2

In this case, we have

Leg = a = 1.5

Hypotenuse = b

So, we have

b = 1.5 * √2

Evaluate

b = 1.5√2

Including the correct units, we have

b = 1.5√2 inches

Hence, the length of the hypotenuse is 1.5√2 inches

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The distance from the house to the library is 8x + 14

We use the following ratio of corresponding sides:

PS/SQ = PT/TR

So, we have

5/(3x + 1) = 6/4x

Cross multiiply

20x = 18x + 6

2x = 6

So, we have

x = 3

Next, we have

(3x + 4)/12 = (4x + 3)/15

Cross multiiply

45x + 60 = 48x + 36

3x = 24

So, we have

x = 8

Here, we have

So, we have

Distance = 3x + 17 + 5x - 3

Evaluate

Distance = 8x + 14

We use the following ratio of corresponding sides:

x = 5

y = 4

So, we have

x/z = (x + 4)/6.5

This gives

5/z = (5 + 4)/6.5

Rewrite as

z/5 = 6.5/(5 + 4)

This gives

z = 5 * 6.5/(5 + 4)

Evaluate

z = 3.6

Hence, the values are x = 5, y = 4 and z = 3.6

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Thus, the probability that a randomly selected card has a consonant is 62.5%. This means that if you were to randomly select a card from the pile of cards, there is a 62.5% chance that the card would be a consonant.

The number of consonants in the word "probable" and the total number of cards. There are 5 consonants in "probable" (p, r, b, l, and b) and a total of 8 cards.

In the word "probable," there are 5 consonants (p, r, b, b, and l) and 3 vowels (o, a, and e). To calculate the probability of choosing a consonant, divide the number of consonants by the total number of letters:

Probability = (Number of consonants) / (Total number of letters)

The probability of selecting a consonant can be calculated by dividing the number of consonants by the total number of cards:

5 consonants / 8 cards = 0.625 or 62.5%

Therefore, the probability that a randomly selected card has a consonant is 62.5%. This means that if you were to randomly select a card from the pile of cards, there is a 62.5% chance that the card would be a consonant.

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The given statement F(x + 2) - F(x) = 4x + 8 is proved where the function is F(x) = x² + 2x + 1.

Given the function is,

F(x) = x² + 2x + 1

And the given statement which we have to prove is: F(x + 2) - F(x) = 4x + 8.

Now, to find F(x + 2) we have to replace x with (x + 2).

F(x + 2) = (x + 2)² + 2(x + 2) +1

F(x + 2) = x² + 2² + 2*2*x + 2x + 2*2 + 1 [Since, (a +b)² = a² + b² + 2ab]

F(x + 2) = x² + 4 + 4x + 2x + 4 + 1

F(x + 2) = x² + 6x + 9

So now calculating left hand side of expression which have to be proved,

F(x + 2) - F(x)

= x² + 6x + 9 - (x² + 2x + 1)

= x² + 6x + 9 - x² - 2x - 1

= (x² - x²) + (6 - 2)x +(9 - 1)

= 0 + 4x + 8

= 4x + 8

Hence the given statement is proved.

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let's firstly convert the mixed fraction to an improper fraction.

[tex]\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{3}-\cfrac{21}{5}\implies \cfrac{(5)2~~ - ~~(3)21}{\underset{\textit{using this LCD}}{15}}\implies \cfrac{10-63}{15}\implies \cfrac{-53}{15}\implies -3\frac{8}{15}[/tex]

If Kevin deposits $4000 into an account that pays simple interest at an annual rate of 5%, $1,000 is the total interest that Kevin will earn after 5 years if he makes no withdrawals.

Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:

Interest = P * r * t

where P is the principal

r is the rate of interest (in decimal)

t is the time

Given in the question,

P = $4000

r = 5% = 0.05

t = 5 years

Interest = 4000 * 0.05 * 5

= $1,000

Interest earned by Kevin after 5 years is $1,000.

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We're 95% confident that the true population mean is between 31.361 and 37.039 minutes, with a margin of error of 2.839 minutes.

To find the t-value from the t-distribution table, we need to know the degrees of freedom. Since we have a sample size of 22, the degrees of freedom are 22-1=21. Looking up the t-value with 21 degrees of freedom and a 95% confidence level, we get 2.080.

Plugging in this value, we get:

CI = 34.2 ± 2.080*(7.1/√22)

CI = 34.2 ± 2.839

Therefore, the 95% confidence interval for the population mean commute time to work is (31.361, 37.039). This means that if we were to take many random samples of size 22 from the population and construct a 95% confidence interval for each sample, 95% of those intervals would contain the true population mean.

The margin of error of y is the amount added and subtracted from the sample mean to get the upper and lower bounds of the confidence interval. In this case, the margin of error is 2.839 minutes.

This means that we're 95% confident that the true population mean commute time to work is between 31.361 and 37.039 minutes, with a margin of error of 2.839 minutes.

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Answer:

Step-by-step explanation:

To find the distance between two points, you can use the distance formula:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

To find the midpoint between two points, you can use the midpoint formula:

[(x1 + x2)/2, (y1 + y2)/2]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given lengths, you should be able to find the coordinates of each point and then use the formulas above to fill out the table in the "Rooftop Artist" document.

If the scientist used the submarine to study about "ocean-life", then the "total-distance" that she need to ascend to get back at "sea-level" is 67.9 feet.

The scientist begins her journey at sea-level, which is an elevation of 0 feet.

She then descends 14.3 feet, which means her current elevation is -14.3 feet.

Next, she travels up by 4.3 feet, which brings her current elevation to -10 feet.

She then descends a second time by 57.9 feet, which brings her current elevation to -67.9 feet.

Therefore, To return to sea level from here, she needs to ascend by a 67.9 feet.

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The given question is incomplete, the complete question is

A scientist uses a submarine to study ocean life,

She begins at sea level, which is an elevation of 0 feet.

She travels down 14.3 feet.

She then travels directly up 4.3 feet.

Next, she travels down a second time, 57.9 feet.

How much distance (in feet) must she now ascend to get back at sea-level?

The volume of prism B can be found by multiplying the volume of A by a factor of 1/3

A scale factor is when you enlarge a shape and each side is multiplied by the same number. The value of scale factor is expressed as;

scale factor = new dimension / original dimension

Since the two triangular prisms have same base areas , this means that the volume will only be affected by the height. The height will be the determinant of the volume.

Volume = base area × height.

The volume of prism A = y × 18

= 18y units³

The volume of Prism B

= y × 6

= 6y³

Therefore the volume of prism of B can be found by multiplying the volume of a by a scale factor of 3.

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Answer:

Option A
4.59

Step-by-step explanation:

The given triangle is a right triangle

The known angle measures are 74° and 90°

The other angle opposite side x = 180 - (74 + 90) = 16°
(Or we could simply use 90° - 74° since the sum of the non-right angles must be 90°)

The relationship between the side opposite the angle 16°, namely x and the side adjacent to the angle 16° namely the side of length 16 is given by

tan(16°) = x/16

tan(16°) = 0.286745

=>  0.286745 = x/16

=> x = 16 x 0.286745

=> x = 4.5879

Rounded to two decimal places that would be 4.59 which is Option A

Answer: 11 + 53 is 64, 64 + (-40) is 24, and 24 - 29 is -5.

Therefore, the final result of the expression 11 + 53 + (-40) - 29 is -5.

Step-by-step explanation: 1. Start with the addition of the first two                    numbers, which are 11 and 53:  

11 + 53 = 64

2. Next, we need to add the third number, which is -40. To add a negative number, we can simply subtract its absolute value from the result of the previous addition:

64 - 40 = 24

3. Finally, we need to subtract the fourth number, which is 29:

24 - 29 = -5

Therefore, the final result of the expression 11 + 53 + (-40) - 29 is -5.

The number of parts is 10 and the value of the expression is 4/10

Given that

7/10 - 3/10

The above expressions are fractions and the denominator is 10

This means that the number of parts between 0 and 1 is 10

Recall that

7/10 - 3/10

When evaluated, we have

7/10 - 3/10 = 4/10

Hence, the solution si 4/10

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Answer:

Step-by-step explanation:

[tex]m\angle(A) + m\angle(B)=90\\34+(2x+22)=90\\\textrm{Solve for x.}\\\\34+2x+22=90\\2x+56=90\\2x=90-56\\2x=34\\x=17\\m\angle(B)=2x+22=2(17)+22=34+22=56\degree[/tex]

Answer: x = 1, y = 4

Step-by-step explanation:

First, you would need to set the equations equal to each other.

y = 3x + 1 and y = -2x + 6

They can be set equal to each other because they are equal to the same y.

So, you would get the equation:

3x + 1 = -2x + 6

From there, solve for x.

3x + 2x = 6 - 1

5x = 5

x = 1

Now, plug that x-value into the original equations to get y.

y = 3(1) +1

= 3 + 1

= 4

Plug the x-value into the other equation and if you get the same answer, you're correct!

y = -2(1) + 6

= -2 + 6

= 4

So, as an ordered pair (in the form [x, y]), the answer would be (1, 4).

Answer:

42 Hope this is what you were looking for :)

Step-by-step explanation:

180=46+92+x

add

180=138+x

Subtract from both sides

180-138=138-138+x

  Answer

     42

The probability that Elsie gets heads and red on the spinner is 1/8

Given data ,

Elsie is going to flip a coin and spin a spinner

The coin has a heads and a tails

The spinner has four equal parts that are yellow, blue, red, and green

Now , The chance of getting heads on the coin is 1/2, and the chance of getting red on the spinner is 1/4, since there are four equal parts.

To find the probability of getting both events together, we need to multiply the probabilities:

P(heads and red) = P(heads) × P(red) = (1/2) × (1/4) = 1/8

Hence , the probability of Elsie getting heads and red on the spinner are 1/8

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Answer:

15.2 (rounded)

Step-by-step explanation:

To solve we need to use the pythagrom theorem. This theory states that [tex]a^{2} + b^2 = c^2[/tex]. In which a and b are the legs of the triangle and c is the hypotenuse.

Because we have these numbers we can plug them into our equation:

[tex]5^2 + b^2 = 16^2[/tex]. [tex]5^2 = 25[/tex] and [tex]16^2 = 256[/tex] so our final equation is [tex]25 + b^2 = 256[/tex]. To find b (our missing leg) we need to subtract 25 from both sides. This leaves us with the problem [tex]b^2=231[/tex]. The final step would be to square root both sides and we get our answer of about 15.2

The inequality equation which represents Three less than twice a number is equal to at least 52 is 10 - 2x ≥ 52 and x ≤ -21

In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Let

The unknown number = x

Ten less than twice a number is equal to at least 52;

10 - 2x ≥ 52

we Subtract 10 from both sides

- 2x ≥ 52 - 10

- 2x ≥ 42

we then divide both sides by - 2

x ≤ 42/-2

x ≤ -21

Therefore , x ≤ -21 is the solution to the inequality 10 - 2x ≥ 52 if x comes first.

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