Solve the equation. 4(2m – 1) = 16

Answer:

Surface area of sphere: \(4\pi r^{2}\)

Radius is 6.

Surface area of sphere: \(4\pi (6)^2=144\pi =452.39\) (2 decimal places)

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Volume of sphere: \(\frac{4}{3} \pi r^3\)

Radius is 6.

Volume of sphere: \(\frac{4}{3} \pi (6)^3=288\pi =904.78\) (2 decimal places)

The maximum fishery biomass that can be removed yearly while still sustaining the population is known as the Maximum Sustainable Yield (MSY).

The Maximum Sustainable Yield (MSY) represents the maximum amount of fishery biomass that can be harvested from a population each year while maintaining its long-term sustainability. It is a crucial concept in fisheries management, aiming to balance resource utilization with the need for population replenishment.

By setting harvest limits below the MSY level, fish stocks can regenerate, ensuring the continuation of the fishery in the future. MSY takes into account various factors such as population growth rates, reproductive potential, and ecosystem dynamics to determine a sustainable level of extraction.

Proper adherence to MSY principles helps prevent overfishing and promotes the conservation of aquatic resources.

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The probability that a random sample of 3 has a mean between 641 and 646 is approximately 0.2023 or 20.23%.

To solve this problem, we need to use the central limit theorem, which states that the sampling distribution of the sample means is approximately normal, with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

Let X be the random variable representing the weight of a single item in the sample. Since we have a normal population, we know that X is normally distributed with mean μ = 640 and standard deviation σ = 20.

Let Y be the random variable representing the sample mean weight. Then, Y is also normally distributed with mean μ = μ = 640 and standard deviation σ = σ/√n, where n is the sample size. Since n = 3, we have σ = 20/√3 ≈ 11.55.

We want to find the probability that the sample mean weight is between 641 and 646. This can be written as P(641 ≤ Y ≤ 646). To standardize Y, we use the formula Z = (Y - μ)/σ, which gives us Z = (641 - 640)/11.55 ≈ 0.09 and Z = (646 - 640)/11.55 ≈ 0.52.

Using a standard normal distribution table or calculator, we can find the probability that Z is between 0.09 and 0.52, which is approximately 0.2023.

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Answer:

m∠B = 121

m∠C = 59

Step-by-step explanation:

Angle B:

\((10x - 19) = (7x+23)\\10x+(- 19+19) = 7x+(23+19)\\10x=7x+42\\(10x-7x) = (7x-7x)+42\\3x = 42\\3x/3 = 42/3\\x = 14\)

10(14)-19 = 140-19 = 121

Angle C:

(121)2 = 242

360-242 = 118

118/2 = 59

Answer:

Step-by-step explanation:

Opposite angles of the parallelogram are congruent:

Find the angle B:

Adjacent angles of the parallelogram are supplementary:

for a binomial random variable x, it can only takes on two possible values, 0 or 1 is True

A binomial random variable is a discrete random variable, which means that it can only take on certain values, in this case 0 or 1. This means that the answer to the question is true. A binomial random variable is the sum of two independent Bernoulli random variables, where each Bernoulli random variable has a probability of success equal to the probability of success for the binomial random variable. This means that the binomial random variable is a summation of two Bernoulli random variables, and can only take on values of 0 or 1.

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Answer:

-18

Step-by-step explanation:

km

k= -3

m= 6

km = -3*6

km = -18

Answer:

The answer is -18.

Step-by-step explanation:

k×m

-3×6

-18

The total number of pounds of nitrogen that is found in the lawn fertilizer would be = 20 pounds of nitrogen.

To calculate the quantity of pounds of nitrogen, the ratio of nitrogen to phosphorus is used as follows;

Nitrogen: phosphorus = 5:2

Total = 5+2=7 pounds in each bag.

The total number of bags = 4 bags

The total number of pounds = 7×4=28

For nitrogen;

= 5/7× 28/1

= 20 pounds of nitrogen.

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Tim bought a pair of running shoes marked 25% down at a price of $60

The formula to find the discount of an item on sale is

Where

Let k represent the original price

Substitute the values into the formula above

Hence, the original price, k, of the pair of Zeus running shoes is $240

The value of the expression is 274.5

Here, we want to find the value of the expression

To do this, we are going to use the order of operation

This order is called the PEDMAS

Where P stands for parentheses , E for exponent (roots and powers). D for division, M for multiplication. A for addition and S for subtraction

Now, we can see that there are three parentheses

We start with the innermost one

That is the one with multiplication and subtraction

By doing this, we have that;

Yes, it is a true statement, that  product of two fractions that are each between 0 and 1 is also between 0 and 1.

In math, what is a fraction?

For example

a=0.2

b=0.5

a × b

=0.2 × 0.5

=0.10

Take ,another example

a=0.9

b=0.25

a × b

=0.9 × 0.25

=0.225

In both the cases, number is less than 1, when you have multiplied two numbers between 0 and 1.

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Answer:

Step-by-step explanation:

2d - 6 = 4d + 1

-2d - 6 = 1

-2d = 7

d = -7/2

Answer:

d=-7/2

Step-by-step explanation:

Let's solve your equation step-by-step.

2(d−3)=4d+1

Step 1 simplify

Step 2 divide

Step 3 subtract

Step 4 simplify

Step 5 divide

The probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it, and selecting another black is 9/25.

To find the probability follow these-

Determine the probability of selecting a black checker on the first draw.

There are 6 black checkers and a total of 10 checkers (6 black + 4 red).

So, the probability of selecting a black checker on the first draw is 6/10,

which can be simplified to 3/5.

Since the black checker is replaced, there are still 6 black checkers and

a total of 10 checkers in the bag. Therefore, the probability of selecting a

black checker on the second draw is also 3/5.

To find the probability of both events occurring, multiply the probabilities together: (3/5) × (3/5) = 9/25.

So, the probability of selecting a black checker from a bag of 6 black and

4 red checkers, replacing it, and selecting another black is 9/25.

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Answer: Circle lines

Step-by-step explanation:

Hopefully the attached image helps, it is a diagram of all the labeled lines on a circle excluding the radius (BG or GE)

If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer:

negative 9 I think

Step-by-step explanation:

it's making me right more what

Making (B) as the subject formula, we have the equation B = F/qv

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

F= qvB

The above equation implies that F has its value to be the products of q, v and B

To make (B) as the subject formula, we divide both sides by qv

So, we have

F/qv = B

Rewrte as

B = F/qv

Hence, the soltuion is B = F/qv

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Answer: 32.6%

Step-by-step explanation:

percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6

Any p-value less than 0.05 is a cause to reject the null hypothesis.

What is Null Hypothesis?

The statement "The null hypothesis is a claim about population parameter that is assumed to be false until it is declared false" is false. The null hypothesis is denoted by H0 assumes that the claim you are trying to prove did not happen. It is a claim about a population parameter that is assumed to be true until it is declared false.

Explanation:
In this case, 0.015 is the only option for p-value that would lead to a rejection of the null hypothesis (if the level of significance for the test is 0.05).

Any p-value less than 0.05 is a cause to reject the null hypothesis.

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Answer: (-1,-6)

Step-by-step explanation:

First, you move 4 spaces left getting you to (-1,4). Then you reflect across the X-axis (a reflection means to mirror over a point of symmetry, which in this case is the X-axis) which gets you to (-1,-4). Finally, you move 2 units down getting you to your answer of (-1,-6)

The team scored 2 field goals, 2 safeties, and 4 touchdowns.

A statement proving the equality of two mathematical expressions is known as an equation. The goal is frequently to ascertain the values of the variables that make the equation true, and it may have one or more variables.

The football team scored 8 times and a total of 38 points.

Let T be the number of touchdowns, F be the number of field goals, and S be the number of safeties.

We know, T = F + S and F + S = 4

Substituting, T = F + S into the equation for total points,

we get, 7T + 3F + 2S = 38

Solving for F and S, we get F = 2 and S = 2.

Therefore, the team scored 2 field goals, 2 safeties, and 4 touchdowns.

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Solve for F and S then get F = 2 and S = 2.

The team scored 4 touchdowns, 2 field goals, and 2 safeties.

The football group scored 8 times, totaling 38 points.

Let,

T is the no.of touchdowns,

F is the no.of field goals, and

S is the no.of safeties.

Touchdown: The ball is in possession of a runner who has moved from the field of play into the end zone and is on, above, or behind the plane of the opposing goal line (extended).

Field Goal: a three-point goal in football obtained by kicking the ball over the crossbar during normal play.

Safeties: NFL defences can score a safety, worth two points, by tackling the offensive player with the ball behind his own goal line or forcing him to run or throw the ball out of bounds behind his own goal line.

We know that,

T = F + S and

F + S = 4

For total points, put T = F + S into the equation.

We get,

7T + 3F + 2S = 38

Solve for F and S,

we get,

F = 2 and S = 2.

As a result, the team tallied 2 field goals, 2 safeties, and 4 touchdowns.

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Answer:

It started on the same floor, floor 14

Step-by-step explanation:

if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14

Answer:

14

Step-by-step explanation:

Let the floor started be 'x'

Equation:-  

=> x + 7 - 9 - 4 + 8 - 2= 14

x + (+7) + (-9) + (-4) + (+8) + (-2) = 14  

x + 7 - 9 - 4 + 8 - 2 = 14  

x + 15 - 15 = 14  

x = 14

Therefore, elevator started from 14th level.  

Answer:

x= -2

Step-by-step explanation:

4x+4=-3x-10

7x+4=-10

7x=-14

x=-2    

Answer: 1.75 minutes

Step-by-step explanation:

6 gallons per minute.

14.5-4=10.5

10.5/6=1.75 minutes

Answer:

yes it is

Step-by-step explanation:

it is since there is a common ratio between each term

Answer:

Step-by-step explanation:

|a| changes the sign to + if a<0

so solution of |x| = 8 would be x=8 or x = -8

To construct a 98 percent confidence interval for the difference in proportions, we need to calculate the sample proportions and the standard error of the difference. First, let p1 be the proportion of cell phone users with a headset who missed their exit, and p2 be the proportion of those talking to a passenger who missed their exit.

Step 1: Identify the proportions.
- Proportion of cell phone users with a headset who missed their exit (p1): 15/24
- Proportion of cell phone users talking to a passenger who missed their exit (p2): 6/24

Step 2: Calculate the difference in proportions (p1 - p2).
- (15/24) - (6/24) = 9/24 = 0.375

Step 3: Calculate the standard error (SE) for the difference in proportions.
- SE = √[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]
- SE = √[((15/24) * (1 - 15/24) / 24) + ((6/24) * (1 - 6/24) / 24)] = √(0.01042) = 0.102

Step 4: Find the critical value (z-score) for a 98% confidence interval.
- Using a z-table or calculator, the z-score for a 98% confidence interval is approximately 2.33.

Step 5: Calculate the margin of error (ME).
- ME = z-score * SE
- ME = 2.33 * 0.102 ≈ 0.238

Step 6: Construct the 98% confidence interval.
- Lower limit: (p1 - p2) - ME = 0.375 - 0.238 ≈ 0.137
- Upper limit: (p1 - p2) + ME = 0.375 + 0.238 ≈ 0.613

The 98% confidence interval for the difference in proportions is approximately (0.137, 0.613). This means we can be 98% confident that the true difference in the proportion of cell phone users with a headset who missed their exit and those talking to a passenger who missed their exit falls within this interval.

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Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!