A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0. 30. The students feel the proportion of blue beads is lower than 0. 30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H0:p=0. 30 and Ha:p<0. 30, is 0. 45. What is the correct interpretation of this value?


There is a 4. 5% chance the proportion of blue beads in the container is 0. 3.

Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the null hypothesis is true.

Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone.

Assuming the true proportion of blue beads in the container is less than 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone

let's recall that for a function f(x) that has an inverse function f⁻¹(x), the domain of f(x) corresponds to the range of f⁻¹(x), what the heck does that all mean?

well, it means that for any coordinate pairs (a , b) in f(x), there's a corresponding pair of (b , a) on f⁻¹(x).

we know in this case that f(-4) = 15, or namely that f(x) has a pair of (-4 , 15), well, that means that f⁻¹(x) has a swapped pair of (15 , -4).

the above means that f⁻¹(15) = -4.

Answer:

True

Step-by-step explanation:

A function is increasing if its outputs get larger as the inputs is a "true statement" or the first option. If the inputs are getting larger for every input and the outputs are getting larger for every output, if you plot the data on a scatter plot or a coordinate plane of sorts you would see it take shape of a line that is moving from the left to the top right which means the function is indeed increasing when the outputs/inputs get larger.

Hope this helps.

Check the picture below.

so the region is the one bounded by a hyperbola and two straight lines, one of which is the x-axis, or namely y = 0, since the hyperbola has a vertex at x = 4, then our bounds are from 4 to 5.

[tex]x^2-y^2=16\implies x^2-16=y^2\implies \pm\sqrt{x^2-16}=y \\\\\\ \stackrel{I~Quadrant}{+\sqrt{x^2-16}=y}\qquad \qquad \implies \stackrel{\textit{using the disk method}~\hfill }{\displaystyle\int_{4}^{5}~\pi \left( \sqrt{x^2-16} \right)^2\cdot dx\implies \pi \int_{4}^{5}(x^2-16)dx} \\\\\\ \pi \left( \left. \cfrac{x^3}{3} \right]_{4}^{5} ~~ - ~~\left. 16x\cfrac{}{} \right]_{4}^{5}\right)\implies \pi \left[\cfrac{61}{3}~~ - ~~16 \right]\implies \cfrac{13\pi }{3}[/tex]

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

The density formula is given by:

Density = mass/volume

The volume of the cylinder = π * radius² * height

Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:

Volume = π * 20.5² * 780 = 1029798 cm³

Density = mass/volume

6.1 = mass/1029798

mass = 6281770 kg

Cost = 6281770 kg * $0.62 per kilogram = $3894697.41

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

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Answer:

[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]

Step-by-step explanation:

Sunday ice cream :

Ice cream scoops = 3

Strawberries = 4

Milkshake :

Ice cream scoops = 2

Strawberries = 6

Ramses wants to  make sundaes and milkshakes with at  most 25 ice-cream scoops  and 37 strawberries.

Let x be the no. sundaes and y be the no. of milkshakes

So, Equations are :

[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]

Now we are supposed to graph the solution

[tex]3x+2y\leq 25[/tex] --- Blue

[tex]4x+6y \leq 37[/tex] --- Green

Refer the attached figure

Explanation:

Compare each equation to the form y = mx+b

m = slope

The first equation has slope -1/3 and the second equation has slope 1/3

The slopes do not multiply to -1, so the lines aren't perpendicular.

The slopes aren't equal, so the line aren't parallel either.

Answer:

I think it's 7

Step-by-step explanation:

-6 < 2T (-5+5) < 3+5

-6 < 2T < 8

+6 < 2T < 8 + 6

0 < 2T < 14

0 < ÷ 2 < ÷ 2

0 < T < 7

-0 < T < -0

T = 7

Using the normal distribution, it is found that she scores less than 192 in 99.3% of games.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 160, \sigma = 13[/tex].

The proportion of games in which she scores less than 192 is the p-value of Z when X = 192, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{192 - 160}{13}[/tex]

[tex]Z = 2.46[/tex]

[tex]Z = 2.46[/tex] has a p-value of 0.993.

Hence, she scores less than 192 in 99.3% of games.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

180 cm²

Step-by-step explanation:

From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.

Area of a square = x² (where x is the length of one side)

⇒ area of the square = 6² = 36 cm²

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²

Total surface area = 4 x area of one triangle + area of the square

                               = 4 x 36 + 36

                               = 144 + 36

                               = 180 cm²

Answer:

180 I was the first so could I have brainlyest

Step-by-step explanation:

we need the area of 4 triangles and one square triangle = base x height x 1/2     square = base x height         6 x 6 = 36 + (  6 x 12 / 2 x 4 = 144)  = 180

Answer: $2,728.40

Step-by-step explanation:

The starting value is: $17,000

the rate of deprecation is: 12.25%

time = 14 years

Lets plug this into the interest formula:

Cost after 14 years = Principle(1 - r)^t

Cost after 14 years = 17,000(1 - 0.1225)^14

Cost after 14 years ≅$2,728.40

Deprecation happens pretty quickly!

Answer:

32

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Hope this helps! :)

Have a blessed day and remember to keep smiling! :)

[tex][Hello,BrainlyUser][/tex]

Answer:

32 Yards

Step-by-step explanation:

Given;

Length of fabric required for each costume = 2 2/3

Total number of costumes to be made =12

Solve;

12 * 2 2/3

We can multiply mixed numbers by converting it to fractions.

⇒ 12 * 8/3

⇒ 32

Thus, you need 32 yards of fabric.

[CloudBreeze]

Answer:

Sylvia's cat weighs 3 pounds more than Michelle's cat

Sylvia’s cat weighs 48 ounces more than Michele’s cat.

The downward force exerted by any object due to the effect of the earth's gravity is called weight.

Given that:-

The difference between the weight = 12 - 9 = 3 pound

1  pound = 16 ounces

3 pounds = 16 x 3 ounces = 48 ounces

Therefore Sylvia’s cat weighs 48 ounces more than Michele’s cat.

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Answer:

circle = 1/3

pls mark brainliest

Answer:

The second one.

Step-by-step explanation:

The hollow dots represent > or < depending the direction of the arrow. The filled dots represent less than or equal to. So the second.

Answer: Your answer would be B

Step-by-step explanation: The open circle means it's not greater than or equal to! So therefore, answer is B! Let me know if I'm wrong. If not have a great day!

Answer:

Step-by-step explanation:

Where are your answers?

Answer:

I believe the answer is 198

Answer:

791.68135 cubic metres

Step-by-step explanation:

V=πr2h=π·62·7≈791.68135

Answer:

38%

Step-by-step explanation:

Answer:

C. 38%

Step-by-step explanation:

3 ÷ 8 = 0.375

Make it a percent

0.375 x 10 = 37.5

Since it isn't an option, round up. A good rounding rule is:  Four or less, let is rest. Five or more, let it soar.

Since this number ends in 5, round up.

37.5 is now 38

38%

Answer:

F(4) = 36

Step-by-step explanation:

F = C/a, where C is a constant

Since 48 = C/3

C = 144

F(a) = 144/a

-----

F(3) = 144/3

F(3) = 48

----

F(4) = 144/4

F(4) = 36

Answer: 45 and 27

Step-by-step explanation:

A lil trick Is that u add 5+3=8  then 72/8 = 9

So then 5x9 and 3x9 because each ratio "unit" Is equal to 9 so ya

gl

Answer:

Step-by-step explanation:

AC = 150  Feet

CB = 75 feet.

BD = 100 feet

You use the tangent here.

Tan(A) = opposite/ Adjacent

Opposite = BD = 100 feet

Adjacent = AB = AC + CB = 150 + 75 = 225  feet.

Tan(A) = 100 / 225

Tan(A) = 0.4444

A = Tan-1(0.4444)

A = 23.96 degrees, but the front row of trees cannot be more than 100 feet tall

Answer:

( [tex]\frac{1}{2}[/tex], 0 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 2 → (1)

2x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the y- term, that is

6x = 3 ( divide both sides by 6 )

x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and evaluate for y

Substituting into (1)

4([tex]\frac{1}{2}[/tex] ) + 3y = 2

2 + 3y = 2 ( subtract 2 from both sides )

3y = 0 ⇒ y = 0

Solution is ( [tex]\frac{1}{2}[/tex], 0 )

Answer:

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Step-by-step explanation:

Let's go through all the answer choices:

(A) The price doubled.

(B) The price is 150% of the price before.

(E) The price is now 1.5 times greater than what it was before.

(F) The price now is 662 % of what it was before.

(G) The price now is 200% of what it was before.

knowing that decreased meaning smaller or fewer.

Thus, it can't be doubled or more than 100% as well was greater.

Hence, the best answer is

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Note:

Reduced = Smaller, Less amount

Greater = More

Doubled = More

Decreased = Smaller, Less amount.

[RevyBreeze]

The statements are equivalent to the statement "the price decreased by 25%" are:

The price was reduced by a quarter.

The price is 75% of what it was before.

We have statement,

"the price decreased by 25%".

So, the statement that follow the statement is

The price was reduced by a quarter.

The price is 75% of what it was before.

Statements are not equivalent to the given statement.

"The price is 150% of the price before" means the price increased by 50%, not by 100% or double.

"The price doubled."

"The price is 150% of the price before."

"The price is now 1.5 times greater than what it was before."

"The price now is 200% of what it was before."

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Answer:

A im pretty sure :)

Step-by-step explanation:

Answer:

=> B.125

Step-by-step explanation:

=> 180°- 55°{ linear pair }

=> 125°

The measure of angle COE = 125

Answer:

[tex]-\frac{5y}{3}+\frac{5}{2}[/tex]

Step-by-step explanation:

Given Problem;

[tex]\frac{5}{6}\left(-2y+3\right)[/tex]

Solve;

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{5}{6}\left(-2y+3\right)=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]

[tex]=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]

[tex]\mathrm{Simplify\;=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3:}-\frac{5y}{3}+\frac{5}{2}[/tex]

[tex]=-\frac{5y}{3}+\frac{5}{2}[/tex]

Hence, Answer = [tex]-\frac{5y}{3}+\frac{5}{2}[/tex]

~Learn with Lenvy~

The volume of the right prism is the product of the length, width and height

The height of the prism is 7.40 ft

The given parameters are:

Volume = 214.5 ft cube

Length = 5 ft

Width = 5.8 ft

The volume of the right prism is calculated as:

Volume = Length * Width * Height

So, we have:

214.5 = 5 * 5.8 * Height

Evaluate the product

214.5 = 29 * Height

Divide both sides by 29

7.40 = Height

Rewrite as:

Height = 7.40

Hence, the height of the prism is 7.40 ft

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Answer:

6.6

Step-by-step explanation:

The required ratio is given as a) 4/1 b) 1/4 c) 1/5 and d) 4/5.

Given that,
Spent $4.80 on groceries and $1.20 on vegetables.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Total cost = 4.80 + 1.20
Total cost = $6.00

a. Cost of groceries to cost of vegetables;
Ratio = 4.80 / 1.20 = 4 / 1

b. Cost of vegetables to cost of groceries;
Ratio = 1.20 / 4.80 = 1 / 4

c. Cost of vegetables to total cost;
Ratio = 1.20 / 6 = 1 / 5

d. Cost of groceries to total cost
Ratio = 4.80 / 6 = 4 / 5

Thus, the required ratio is given as a) 4/1 b) 1/4 c) 1/5 and d) 4/5.

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Answer:

Step-by-step explanation:

y = - 3x² - 24x - 42

y = - 3( x² + 8x + 14 )

y = - 3( x² + 2·4·x + 16 - 16 + 14 )

y = - 3[ ( x + 4 )² - 2 ]

y = - 3( x + 4 )² + 6

Answer:

72.39

Step-by-step explanation:

Cost of boots: 67.34

Tax: 7.5%

Amount of tax he payed: 67.34 * 7.5/100 = 5.05

Total Amount = 67.34 + 5.05 = 72.39