Marissa has a goal of shooting exactly 400 three–pointers during her basketball practice every week. She has already shot 105 of them over the first two days of practice. Write an equation to represent how many three–pointers (t) Marissa has to average over the next 5 days to reach her goal.

Answer: h = 6

explanation:

first u get h by itself

4h + 6 = 30

subtract 6 from both sides

4h = 24

divide by 4 on both sides

h = 6

Answer:h=3/13

Step-by-step explanation: Subtract 6  from both sides of the equation 4h+6-6=30h-6 you simplify 4h=30h-6. Subtract 30h  from both sides of the equation then you get -26h=-6 then you divide both sides of the equation by the same term -26h/-26=-6/-26 and your answer is 3/13.

The Probability of a pregnancy lasting less than 250 days is 0.1151.

Probability: - It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed  from 0 to 1.

Let the length of human pregnancy be denoted by X. We obtain the probability associated with this value by converting it to be standard normal ( z) score and then consulting a Z- table to find the corresponding probability.

P(x< 250) = P( x-μ /σ < 250 - 268 /15)

                = P( z < -1.2)

                = 0.1151

∴ The probability of a pregnancy lasting less than 250 days is 0.1151.

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Answer:

25%

Step-by-step explanation:

Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

Given a regression equation is y = 5000 + 7.25x, where y is the predicted sales value (in dollars) and x is advertising budget (in dollars).To find the predicted difference in sales of two stores which differ by $30,000 in advertising budget. Here, the slope of the line is 7.25. This means that for every dollar increase in advertising budget, sales will increase by $7.25. Therefore, a $30,000 difference in advertising budget will lead to a difference in sales of:7.25 × 30,000 = 217,500Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

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7.  \(a2(a2)(a6)\)  is a monomial.

8. \(x(x2)(x2)(x7)\)  is a monomial.

9. \((y2z)(yz2)\) is a monomial.

10. (e² k²) (e³k) is a monomial.

11. (a²b⁴)(a²b¹) is a monomial.

12. (cd²)(c3d2) is a monomial.

13. (2x²)(3x⁵)  is a monomial.

14. (5a⁷)(a²b³) is a monomial.

15. (4xy³)(3x³y⁵) is a monomial.

16. (7a⁵b²)(a²b³) is a monomial.

17. (-5m³)(3m⁸) is a monomial.

18. (-2c⁴d)(-4cd) is a monomial.

19. (10²)³ is a monomial.

20. (P³)¹²  It is a monomial.

22. (-3y³) is a monomial.

A polynomial with only one term is called a monomial. An algebraic expression known as a monomial typically has one term, but it can also include several variables and a higher degree.

7. \(a2(a2)(a6)\)

    \(\\= a2+2+2+6 \\= a12\)

Yes. It is a monomial.

8. \(x(x2)(x2)(x7)\)

    \(= x1+2+2+7 \\= x12\)

Yes. It is a monomial.

9. \((y2z)(yz2)\)

   \(= y2+1 z1+2 \\= y3z2\)

Yes. It is a monomial.

10. (e² k²) (e³k)

   = (e2+3) (k2+1)

   = e5k3

Yes. It is a monomial.

11. (a²b⁴)(a²b¹)

   = a2+2 b4+1

   = a4b5

Yes. It is a monomial.

12. (cd²)(c3d2)

   = c1+3 d2+2

   = c4d4

Yes. It is a monomial.

13. (2x²)(3x⁵)

    = 2×3 x2+5

     = 6x7

Yes. It is a monomial.

14. (5a⁷)(a²b³)

    = 5a7+2b3

     = 5a9b3

Yes. It is a monomial.

15. (4xy³)(3x³y⁵)

    = 4×3 x1+3 y3+5

      = 12x4y8

Yes. It is a monomial.

16. (7a⁵b²)(a²b³)

   = 7a5+2 b2+3

    = 7a7b5

Yes. It is a monomial.

17. (-5m³)(3m⁸)

   = -5×3 m3+8

   = -15m11

Yes. It is a monomial.

18. (-2c⁴d)(-4cd)

    = 2×4 c4+1 d1+1

   = 8c5d2

Yes. It is a monomial.

19. (10²)³

   = \(10^6\)

Yes. It is a monomial.

20. (P³)¹²

   = \(P^{36}\)

Yes. It is a monomial.

22. (-3y³)

   = -3y3.

Yes. It is a monomial.

23. (3pr²)²

   = 9p²r4

Yes. It is a monomial.

24. (2b³c⁴)²

   = 4b6c8.

Yes. It is a monomial.

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B .The value of f(x) is increasing for each unit decrease in x  about the graph is correct.

What is the graph of exponential function?

The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines

Exponential function f(x) is given

According to given graph, The value of f(x) is increasing for each unit decrease in x

Therefore, The statement, The value of f(x) is increasing for each unit decrease in x about the graph is correct.

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Rani can use a maximum of 68 gallons of water per day to follow the city guidelines.

What is percentage ?

Percentage is a way of expressing a number as a fraction of 100. It is often used to compare numbers and make it easier to understand proportions and changes over time.

If the city has asked everyone to decrease their water usage by 20%, then Rani needs to decrease her water usage by 20% as well.

20% of 85 gallons is:

0.20 x 85 = 17 gallons

So, Rani needs to reduce her water usage by 17 gallons per day.

The maximum amount of water that Rani can use and still follow the city guidelines is:

85 - 17 = 68 gallons per day

Therefore, Rani can use a maximum of 68 gallons of water per day to follow the city guidelines.

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Answer:

angles F and G are supplementary

Step-by-step explanation:

The angles add up to 180

Answer:

F and G

Step-by-step explanation:

120 and 60 degrees add up to 180, and supplementary angles need to add up to 180. Therefore, F and G are supplementary angles. Hope it helps!

Answer:

9 7/8

Step-by-step explanation:

Step-by-step explanation:

Let's see. f(4) makes the divisor x-4

4|-2 9 -6 7

| 8 -68 296

-2 17 -74 2072

The quotient is -2x²+17x-74 with a remainder of 2072

Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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Answer:

Range of player's height = 9 inch

Step-by-step explanation:

Given:

Number of players    Height range

4                                     66-67

8                                     68 -69

14                                    70-71

9                                     72-73

1                                      74-75

Find:

Range of player's height

Computation:

Range = Maximum value - Minimum Value

Range of player's height = Maximum height of a player - height of a player

Range of player's height = 75 inch - 66 inch

Range of player's height = 9 inch

Answer:

it is 50

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

the expected rate of change in consumption is 11.83

Step-by-step explanation:

The computation of the expected rate of change in consumption is shown below:

= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)

= (563 - 421) ÷ (2015 - 2003)

= 142 ÷ 12

= 11.83

hence, the expected rate of change in consumption is 11.83

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer: 2 and -8

Step-by-step explanation:

Answer:

im pretty sure its d

Step-by-step explanation:

The median of the given data set as required to be determined in the task content is; 4.

It follows from the task content that the value which represents the median of the data set is to be determined.

By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.

Consequently, the median of the data set as required is; 4.

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Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

The bearing of R from P is 019 and the distance |PR| is 8.75

A cyclist set out from a town P on a bearing of 060 to a town Q, 5 km away. He then moves on a bearing of 345 to a town R, 6km from Q.

See attachment

Start by calculating the distance PR using the following cosine ratio

PR² = PQ² + QR² - 2 * PQ * PR cos(Q)

Substitute known values

PR² = 5² + 6² - 2 * 5 * 6 cos(105)

Evaluate

PR² = 76.53

Take the square root of both sides

PR = 8.75

Next, calculate angle R using the following sine ratio

PQ/sin(R) = PR/sin(Q)

Substitute known values

5/sin(R) = 8.75/sin(105)

Evaluate the quotient

5/sin(R) = 9.06

Multiply both sides by sin(R)

9.06 * sin(R) = 5

Divide both sides by 9.06

sin(R) = 0.5519

Take the arc sin of both sides

R = sin⁻¹(0.5519)

Evaluate

R = 34

Calculate angle P using:

P = 180 - 34 - 105

P = 41

The bearing of R from P is then calculated as:

Bearing = 060 - 41

Evaluate

Bearing =  019

Hence, the bearing of R from P is 019

In (b), we have:

PR = 8.75

Hence, the distance |PR| is 8.75

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This is an example of a correlation between the two variables, where they tend to change together in a predictable way, but it does not necessarily imply causation.

This is an example of a correlation between the two variables. When two variables are correlated, they tend to change together in a predictable way. In other words, when one variable goes up, the other tends to go up as well, or when one variable goes down, the other tends to go down as well.

It's important to note that correlation does not necessarily imply causation. Just because two variables are correlated, it does not mean that one causes the other. There may be other factors that influence both variables, or the correlation may be coincidental. To establish causation, a more rigorous study design and analysis is required.

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Answer:

A.P(t) = Po (1 + r)^t

P(t) = 1200( 1 + 0.024)^t

B. 1417 termites

Step-by-step explanation:

Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.

A. Formulate an equation in exponential form that represents the termite situation.

The formula for exponential growth or increase =

P(t) = Po (1 + r)^t

Where:

P(t) = Population growth after time t

P(o) = Initial Population = 1200 termites

r = Growth rate = 2.4% = 0.024

t = Time in days

Hence, the equation in exponential form that represents the termite situation is given as:

P(t) = 1200( 1 + 0.024)^t

B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.

The time of extermination = 1 week

1 week = 7 days

Hence,

t = 7 days

P(t) = Po (1 + r)^t

P(7) = 1200( 1 + 0.024)⁷

P(7) = 1200(1.024)⁷

P(7) = 1416.7099449 termites

Approximately

= 1417 termites

the answer would be 4 9/14

4 9/14

Answer:

4 9/14

Step-by-step explanation:

Answer:

$7.99 each

Step-by-step explanation:

Divide the package price by the package units to get your answer.

(23.97 / 3 = 7.99)

Answer:

yes  The area of a triangle is b x h / 2 (base times height divided by 2)

Hi there!  

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I believe your answer is:  

\(\boxed{\frac{b*h}{2}}\)

You should be correct.  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Area of a triangle:}}\\\\A = \frac{b*h}{2}\\\\\boxed{\text{Key:}}\\\\\rightarrow \text{B - Base}\\\\\rightarrow \text{H - Height}\)

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Hope this helps you. I apologize if it’s incorrect.  

Answer: 1.2 m

Step-by-step explanation:

Given

The length of the ramp to the building is 3.7 m

Distance from the beginning of the ramp to the base of the building is 3.5 m.

Suppose h is the height of the ramp

from the figure, we can write

\(\Rightarrow 3.7^2=3.5^2+h^2\\\Rightarrow 13.69-12.25=h^2\\\Rightarrow h^2=1.44\\\Rightarrow h=1.2\ m\)

So, the height of the ramp is 1.2 m

The diameter of the balloon increasing when the diameter is 1.3 feet is

3/2π feet/minute.

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.

Given,

Volume of spherical balloon = 4/3πr²

Volume of spherical balloon = 4/3π(D/2)³

Volume of spherical balloon = 1/6πD³

Differentiation:

dV/dt = 1/2πD²dD/dt

dD/dt = 2/πD² × dV/dt

radius = 1

D = 2 feet

dV/dt =3 feet

dD/dt = 2/π2²(3)

dD/dt = 3/2π feet/minute

The diameter of the balloon increasing when the diameter is 1.3 feet is

3/2π feet/minute

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The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.

Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.

The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.

Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.

Cells x doute the no of surrell and

"p' denotes the probability of turrets

D= 5

H=pkin = 50-xo-5 = 250

σ = SD(X) = √√rbg

= √√5=x05x=5 = 14.№33

The probability of obtaining $45-26

= P(-5-250 < x-M 22605-250)

14.233

= P(-03864 < 2 2 0-7332)

8.4200

0.42

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The telegraph was replaced by fully digital communication in the 1970s and 1980s , but it is still used by the amateur radio operators.

The Telegraph is a device that was used for the transmission of information by coded signal over distance.

the telegraph was developed by Samuel F. B. Morse and used Morse code for transmission ,

New technologies and devices kept appearing which led to a evolution of the telegraph industry during the latter half of the 19th century and the first half of the 20th century.

By the year 1856 the register in Morse system was replaced by sounder, and code was transcribed directly from sounds by operator.

Therefore ,  telegraph is no longer a major means of maritime communications, but it is still used by amateur radio operators.

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A right circular cylinder with the largest volume that can fit within a sphere with a 10 cm radius will have a maximum radius of 8.165 cm and a maximum height of 11.55 cm. Additionally, the largest volume is 2417.82 cm³.

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

Here,

radius=10 cm

r²+h²/4=10²

r²=10²-h²/4

volume=πr²h

=π(10²-h²/4).h

V=π(10²h-h³/4)

dV/dh=π(10²-3h²/4)

dV/dh=0

10²=3h²/4

10²*2²/3=h²

20/√3=h

h=11.55 cm

r²=10²-h²/4

=10²-(10²*2²/3)/4

r²=(100-400/12)

r²=100-33.33

r²=66.67

r=√66.67

r=8.165 cm

volume=πr²h

=3.14*8.165*8.165*11.55

volume=2417.82 cm³

The dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm will be 8.165 cm radius and 11.55 cm height. Also the maximum volume is 2417.82 cm³.

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It is assumed that the vending machine contains cans of grapefruit juice that cost 75 cents each, but the machine isn't functioning properly. The likelihood that the machine accepts a coin is 10 percent.Angela has a quarter and five dimes. We are expected to determine the probability that she would have to attempt the

coins at least 50 times before receiving a can of grapefruit juice.

Let p = 0.1 be the likelihood that the machine accepts a coin, and q = 0.9 be the likelihood that it doesn't.Let's consider X = number of trials required to acquire a can of grapefruit juice. We are looking for P(X ≥ 50).This is a geometric probability issue, and we may utilize the formula:

\(P(X ≥ k) = qk-1p\), where k is the number of trials required.

The probability that it will take at least 50 attempts before obtaining a can of grapefruit juice is:

\(P(X ≥ 50) = (0.9)49(0.1)≈0.003 or 0.3\) percent (rounded to one decimal place).

Therefore, the likelihood that Angela would have to attempt the coins at least 50 times before acquiring a can of grapefruit juice is 0.3 percent.

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