Subtract -2x^2-2x-7−2x
2
−2x−7 from 2x^{2}+72x
2
+7.

As per the question the required hypothesis are

Null Hypothesis, H0: p=0.72

Alternate Hypothesis, H1 : p ≠ 0.72

The null hypothesis reflects that there will be no observed effect in our experiment. In a mathematical formulation of the null hypothesis, there will typically be an equal sign. This hypothesis is denoted by H0.

The null and alternative are always claims about the population. That’s because the goal of hypothesis testing is to make inferences about a population based on a sample.

Often, we infer whether there’s an effect in the population by looking at differences between groups or relationships between variables in the sample. It’s critical for your research to write strong hypotheses.

To learn more about hypothesis

brainly.com/question/15980493

#SPJ4

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

To learn more about coefficient : brainly.com/question/1594145

#SPJ11

Answer:

ok ok, i think it's the last one

Step-by-step explanation:

Answer:

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Box

2400/60 * .5 = 20

Cylinder

2400/80 * .75 = 22.5

Box cost 2.50 less

Answer:

a. The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Just got it right on Edge

Answer:

\(21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}\)

Step-by-step explanation:

(Assuming the den is a rectangle)

Let \(x\) be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as \(x-10\).

The area of a rectangle is given as \(l\cdot w\), therefore we can form the following equation:

\(x(x-10)=231\)

Expanding this, we have:

\(x^2-10x=231, \\\\x^2-10x-231=0\)

This factors into \((x-21)(x+11)=0\), therefore \(x=21, \: -11\).

Because -11 is extraneous, the length of the den is \(21\) feet and the width is \(21-10=11\). Thus, the dimensions of the den are \(\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}\).

Answer What does 1.5 mean on a number?

If a half = 0.5 and one =1, than one and a half is 1+0.5=1.5. So, 1.5 = one and a half.

Step-by-step explanation:

If a keyword is "rose steadily," the line segment showing that description should be upward-slanting.

Assuming that "rose steadily" refers to an increase in some quantity over time, the corresponding line segment would be a diagonal line with a positive slope. The horizontal axis represents time, while the vertical axis represents the quantity being measured. As time increases, the quantity also increases, resulting in a steady rise of the line.

When we describe something as "rising" or "increasing steadily," it indicates a consistent and gradual upward movement. In the context of a line segment, an upward-slanting line represents this kind of progression. As we move from left to right along the line segment, the values or quantities associated with it are increasing steadily. The slope of the line segment would be positive, indicating the upward direction.

Learn more about rose steadily here

https://brainly.com/question/7765002

#SPJ11

Answer:

perimeter: 90z+176

Explanation:

perimeter = measure of all length sides

perimeter for this shape:

45z + 40 + 15z + 48 + 20z + 60 + 10z + 28

group terms like this ↓

45z+15z+20z+10z+40+48+60+28

addition of terms ↓

45z+15z+20z+10z+176

this is how final result would look ↓

90z+176

124 (angle 1 = 38+86)

maybe it's the right answer

Answer:

12

Step-by-step explanation:

Answer:

$27/month

Step-by-step explanation:

300-220=80

100%= 300

1%= 300÷100

= 3

10%= 3×10

= 30

300-30=270

270÷10= $27

Answer:

Step-by-step explanation:

The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared." Example 1: Two stars are the same size, (RA=RB), but star A is 2x hotter than star B (TA=2TB): Therefore: Star A is 24 or 16x brighter than Star B.

Answer:

FC = 27

QC = 18

Step-by-step explanation:

The centroid divides the median in which it stands into a ratio of 1:2

The longer length being twice of the shorter

So in this case, what we have is that ;

FC = FQ + QC

with QC twice FQ

so QC = 2(9) = 18

while;

FC = 18 + 9 = 27

The expression which is equal to the given complex fraction will be

(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)

The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.

now we have to find the solution to the given expression:

\(=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }\)

\(=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }\)

\(=\dfrac{2y-1}{3y+1}\)

Hence the expression which is equal to the given complex fraction will be

\(\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}\)

To know more about complex fractions follow

https://brainly.com/question/13006290

Answer:

D

Step-by-step explanation:

edge 2022

I hope it will help you. .....

153.9380m² I looked it up

After solving the word problem,  the change in the number of shares of stock he owns, is x-96.

In the given question we have to find  the change in the number of shares of stock he owns.

As given that Eric owns shares of a certain stock. If he sells off 8 shares each month for a year.

Let Eric owns x shares of a certain stock.

If he sells off 8 shares each months for a year.

So as we know that in a year have 12 months.

In 1 month = 8 shares sells

12 months = 12×8 shares sells

12 months = 96 shares sells

So in a year Eric sells 96 shares and he have total x shares.

So the remaining shares are x-96.

Hence, the change in the number of shares of stock he owns, is x-96.

To learn more about word problem link is here

brainly.com/question/11240316

#SPJ9

Answer: \(y=5x+1\)

Step-by-step explanation:

The slope of the given line is

\(\frac{1-0}{0-5}=-\frac{1}{5}\)

Since perpendicular lines have slopes that are negative reciprocals, the slope of the line we want to find is 5.

Since the y-intercept is (0,1), the equation is \(y=5x+1\).

Answer: the answer is c

The net of the rectangular prism includes:

To get net of a rectangular prism, we have to determine 2D shape that will result from unfolding all its faces.

The rectangular prism has 6 faces which includes:

The net of the rectangular prism with dimensions 11cm x 9cm x 6cm would be a rectangle with dimensions 27cm x 36cm where:

Read more about Net for rectangular prism

brainly.com/question/17929725

#SPJ1

After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.

Given that,

The half-life of curium-243 is 28.5 days.

We have to find how many grams of curium-243 will be left in a sample with 5.6 grams after 12 days.

We know that,

The formula is

A(t) = A₀(1/2\()^{t/h}\)

Here,

t= 12 days, half life,

h =28.5 days .

And the initial value, A(0)=5.6 grams

So we will get

A(t) = 5.6(1/2\()^{12/28.5}\)

A(t) = 5.6×0.747 = 4.2 grams

Therefore, After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.

To learn more about grams visit: https://brainly.com/question/29127168

#SPJ4

Answer:

87.95479

Step-by-step explanation:

10.3% of 853.93 km

Expand 10.3÷100 by multiplying both numerator and denominator by 10.

\( \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ \)

\( \small \sf \frac{103}{1000} = 853.93 \\ \)

convert decimal number 853.93 to fraction 85394÷100

\(\small \sf \frac{103}{1000} = \frac{85393}{100} \\\)

Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.

\(\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\\)

Do the multiplication in the fraction

\(\small \sf \frac{8795479}{100000} \\ \)

Divide we get

87.95479

Another way to solve it

10.3% 853.93

we know that ; % = whole no. ÷ 100

then,

10.3 ÷ 100 × 853.93

Divide the numbers

0.103 × 853.93

multiply the numbers

87.95479

Answer:

1.) the student got 16 questions correct

2.) 81% showed up

3.)75%

The cost of the dryer would be 350. We can solve this question by using the linear equation concept.

Let the cost of the dryer be “x”

Therefore, the cost of washer would be “ (x+87) “

So, According to the question, both washer and dryer would cost :

(x) + (x+87) = 787

2x + 87 = 787

2x = 787-87

2x = 700

x = 700/2

x = 350.

So, the cost of dryer is 350.

Cost of washer can be calculated as follows :

x + 87

put the value of x

350 + 87

= 437.

So the cost of washer is 437.

And together they cost 787.

To know more about Linear Equations , click here :

https://brainly.com/question/2030026

#SPJ4

Step-by-step explanation:

a.)

= 15a - 13a

= a(15 - 13)

= a(2)

= 2a

b.)

= -6x - 18y

= -(x + 3y)

c.)

= 36abc + 54ad

= 6a(6bc + 9d)

Answer:

\(a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a\)

\(b) \: \: - 6x - 18y \\ = - 6(x + 3y)\)

\(c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)\)

Answer:

Step-by-step explanation:

The surface area of a regular hexagonal pyramid is represented by the following equation:

Therefore, if the height of the award is 95 millimeters and the base edge is 44 millimeters.

Since it is a regular hexagon, the apothem is formed by an equilateral triangle, therefore using the Pythagorean theorem:

Now, for the slant height, use the Pythagorean theorem too using the apothem and the given height:

Now, solve the equation of the surface area:

The probability of landing on yellow is less than the probability of landing on blue

Probability is the likelihood of a desired event happening.

Since there are one orange, two purple, two yellow, and three blue and the spinner divided into eight equal colored sections.

Thus, we can write the probabilities as follow:

probability of orange = 1/8

probability of purple = 2/8 = 1/4

probability of yellow = 2/8 = 1/4

probability of blue = 3/8

Therefore, the probability of landing on yellow is less than the probability of landing on blue is the true statement

Learn more about probability on:

brainly.com/question/251701

#SPJ1

\((0,-6) \longrightarrow (6,0)\\\\(4, -6) \longrightarrow (6,4)\\\\(6,-14) \longrightarrow (14, 6)\\\\(-2, -12) \longrightarrow (12, -2)\)

74-p

20-q

I think this is right

Answer:

Yes

Step-by-step explanation:

\(a^{2} +b^{2} =c^{2} \\\)

13cm is hypotenuse = c

a is an edge = 5cm

b is an edge = 12cm

This is a right angle triangle