Work out the value of 58 x 5-2 54 Total marks: 2

Answer:

a. The correlation between drinking coffee and longevity among older people

b. The population is the entire population of older people

The sample is the over 400,000 older people from eight states

c. It is an observational study

Step-by-step explanation:

a. A statistical question is a question that results in different answers from different respondents. Here the statistical question the researchers are trying to answer is if there is a correlation between drinking coffee and longevity among older people

b. The population is the entire population of older people and the sample is the over 400,000 older people from eight states  

c. An observational study is one in which the researchers sought or collect data based on what is obtainable and make conclusions based on the sought or obtained data. An experiment is one in which the effects of inputs from the researchers on a group is recorded

From the description of the question, therefore, the study is observational.

The researchers were trying to determine if coffee drinkers live longer than non-coffee drinkers. The population studied was older people in eight states, with a sample size of 400,000 participants. The study was an observational study that followed participants for 13 years.

a. The statistical question that the researchers were trying to answer is whether coffee drinkers live longer than non-coffee drinkers.

b. The population in this study is older people in eight states, while the sample is the 400,000 participants who were involved in the study.

c. This study is an observational study because the researchers observed the participants' coffee consumption and followed them for 13 years without intervening or manipulating any variables.

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Answer: Mara has a lot of yellow paint

Step-by-step explanation:

Mara has less green paint because 7 cups is the same as 56 fluid ounces and 56 is less than 64 (yellow paint)

Mara has 56 fluid ounces of green paint and 64 fluid ounces of yellow paint. Therefore, Mara has more yellow paint. The calculations involve converting units of measure for an accurate comparison.

To answer your question accurately, it would be necessary to convert the measurements to the same unit. Given that 1 cup is approximately 8 fluid ounces, Mara's 7 cups of green paint convert to 56 fluid ounces (7 cups * 8 ounces/cup).

Comparing this to the 64 fluid ounces of yellow paint, we find that Mara has more yellow paint.

The comparison was made by first converting the quantity of green paint from cups to fluid ounces for a direct, accurate comparison between the two quantities of paint. This kind of problem is a great example of why understanding units of measure is important in mathematics and in everyday life.

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Answer:

D just did it your welcome

Step-by-step explanation:

Answer:

Depth A trough is 12 feet long and 3 feet across the top (see figure). ... 3 8 25. Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. ... Construction A construction worker pulls a five-meter plank up the side of a ...

Step-by-step explanation:

Answer:

[tex](C)8x^4z^4\sqrt{2yz}[/tex]

Step-by-step explanation:

We want to determine an expression equivalent to: [tex]\sqrt{128x^8y^3z^9}[/tex]

[tex]\sqrt{ab} =\sqrt{a}*\sqrt{b}[/tex]

Therefore:

[tex]\sqrt{128x^8y^3z^9}=\sqrt{128}*\sqrt{x^8}*\sqrt{y^3}*\sqrt{z^9}[/tex]

[tex]=\sqrt{64*2}*\sqrt{x^{4*2}}*\sqrt{y^{2+1}}*\sqrt{z^{8+1}}\\=8\sqrt{2}*\sqrt{x^{4*2}}*\sqrt{y^2*y}*\sqrt{z^{8}*z}}[/tex]

[tex]=8\sqrt{2}*x^4*y \sqrt{y}*z^4\sqrt{z}\\=8*x^4*z^4*\sqrt{2}*\sqrt{y}*\sqrt{z}\\=8x^4z^4\sqrt{2yz}[/tex]

Answer:

C on edge2020.

Step-by-step explanation:

Trust me on this one.

:D

Answer:

224 cubic in

Step-by-step explanation:

l*w*h / 3

12*14*4=672

672/3=224 cubic in

Answer:

Step-by-step explanation:

[tex]6=m-\frac{7}{8}\\\\6+\frac{7}{8}=m\\\\\frac{6*8}{1*8}+\frac{7}{8}=m\\\\\frac{48}{8}+\frac{7}{8}=m\\\\\frac{55}{8}=m\\\\m=\frac{55}{8}[/tex]

Answer:

V = 0.6 m.

Step-by-step explanation:

Volume = l x w x h

in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m

Please mark as brainliest :)

Answer:

V=.6m

Step-by-step explanation:

Please mark as brainliest

Answer:

False

Step-by-step explanation:

The list of all the factors of 32 is 1, 2, 4, 8, 16, and 32

Answer:

.9167 miles per lap

Step-by-step explanation:

3.6 miles total-1.2 miles walked= 4.4 miles in laps

4.4 miles=4.8 laps

we are solving for miles per lap, so we divide 4.4m/4.8l

Answer:

The correct answer is D.

Step-by-step explanation:

Answer:

Any positive number will make this true.

Some answers it can be:

4x=2=4x+5

4x+2=4x+3

Answer:

36 inches.

Step-by-step explanation:

Answer:

[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]

[tex]P(Z<0.64) =0.739[/tex]

[tex]P(Z<-0.28) =0.390[/tex]

And with the difference we got: 0.739-0.390 = 0.349

And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:

C. 34.9%

Step-by-step explanation:

For this case we want this probability:

[tex] P(-0.28 <Z< 0.64)[/tex]

And we can find this probability using the normal standard distribution and with the following difference:

[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]

If we find the individual probabilities we got:

[tex]P(Z<0.64) =0.739[/tex]

[tex]P(Z<-0.28) =0.390[/tex]

And with the difference we got: 0.739-0.390 = 0.349

And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:

C. 34.9%

The probability of a value falling between z-scores of -0.28 and 0.64 in a normal distribution is found by taking the cumulative area under the standard normal curve for each z-score and calculating their difference, which results in approximately 34.9% after rounding. Thus, the correct answer to the student's question is option C) 34.9%.

The question addresses the calculation of probabilities for specific ranges of z-scores in a normal distribution. To find the probability that a data value is between a z-score of -0.28 and a z-score of 0.64, we need to look at the standard normal distribution table or use a statistical software that provides the cumulative area up to these z-scores.

The probability of a value being less than z = 0.64 is P(Z < 0.64). According to the z-table, this probability is approximately 0.7389. Similarly, the probability of a value being greater than z = -0.28 (which is equivalent to less than due to symmetry) can be found as 1 - P(Z < -0.28), which, when referred to a z-table, gives a value of about 0.6103. Therefore, the total probability of a value being between z = -0.28 and z = 0.64 is the difference between these two probabilities, 0.7389 - (1 - 0.6103) = 0.3492 or 34.92%.

However, this value needs to be rounded to the nearest tenth of a percent, which yields 34.9%. So the correct answer is C. 34.9%.

Answer:

y=200+350x

Step-by-step explanation:

3*7=21

200+350*7=2450

Answer:

A = 140

Step-by-step explanation:

Answer:

in my opinion the answer is A=140

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

the answer to your question will be f = c/9 - 4h/9 - 4p/9

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

Answer:

b. 15 x 20

Step-by-step explanation:

The coordinate for A, B, C, and D: (Current coordinates)

A: (-1, 4)

B: (-5, 8)

C: (-5, 4)

D: (-4, 2)

Once we reflect acorss the y-axis the coordinates become:

A': (1, 4)

B': (5, 8)

C': (5, 4)

D': (4, 2)

In this situation the coordinates just become positive.

I hope this helps!

Answer:

The probability is 1/8 or 0.125

Step-by-step explanation:

In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.

In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2

Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)

When we have and in a probability question, that means we are to multiply the probabilities together.

Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8

The problem involves calculating the speed of the current in a river using the given data: the speed of a boat in still water, the distance traveled downstream and upstream, and the total time taken. An application of the concept of relative speed helps solve the problem by setting up an equation reflecting the speeds during the downstream and upstream runs, then solving for the speed of the current.

The problem demonstrates an application of relative speed in the context of a boat moving in a stream. Let's denote the speed of the boat by 'b', the speed of the stream by 's', the time taken to move downstream by 't1', and the time taken to move upstream by 't2'. The speed of the boat in still water is given as 24 mph.

When moving downstream, the boat and the stream are going in the same direction, so their speeds add up: the actual speed will be b+s (24 mph + s). On the other hand, when moving upstream, the boat is going against the stream, so the actual speed is b-s (24 mph - s).

The total time taken to go 15 miles downstream and return is 80 minutes or 4/3 hours. Therefore, using the formula for time (time = distance/speed), we can set up the following equation: 15/(24+s) + 15/(24-s) = 4/3

Solving this equation will give us the value of 's', which represents the speed of the stream.

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The speed of the stream is 6mph.

To find the speed of the stream, we can use the concept of relative speed.

When the boat is going downstream (with the current), the effective speed is increased by the speed of the stream. So, the effective speed downstream is v + s

When the boat is going upstream (against the current), the effective speed is decreased by the speed of the stream. So, the effective speed upstream is V- s

1. Time taken downstream

[tex]\[ t_d = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v + s} \][/tex]

2. Time taken upstream

[tex]\[ t_u = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v - s} \][/tex]

3. Total time for the round trip

  The total time taken for the round trip is the sum of the time taken downstream and upstream.

[tex]\[ \frac{15}{v + s} + \frac{15}{v - s} = \frac{80}{60} \] (converted minutes to hours)[/tex]

Now, let's substitute v = 24 into the equations and solve for \( s \), the speed of the stream.

Once we have s  we can find the speed of the stream.

[tex]\[ \frac{15}{24 + s} + \frac{15}{24 - s} = \frac{4}{3} \][/tex]

Multiplying both sides of the equation by ( (24 + s)(24 - s) to clear the denominators:

[tex]\[ 15(24 - s) + 15(24 + s) = \frac{4}{3}(24 + s)(24 - s) \][/tex]

Taking the square root of both sides:

s= 6

Therefore, the speed of the stream is 6 mph.

Answer: 0.8333

Step-by-step explanation:

It is 6 sq. units. I hope you do well. Have a wonderful day.

Answer:

x=12, y=4

x=3, y=1

x=18, y=6

Step-by-step explanation:

To solve for x in the given table, you can plug in the values x into the rule and solve for y.

Answer:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And we can find the nnumber of deviations from the mean for each limit given:

[tex] z_1 = \frac{17-32}{5} = -3[/tex]

[tex] z_2= \frac{47-32}{5} = 3[/tex]

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

[tex]X \sim N(32,5)[/tex]  

Where [tex]\mu=32[/tex] and [tex]\sigma=5[/tex]

We want to find this probability:

[tex]P(17<X<41)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And we can find the nnumber of deviations from the mean for each limit given:

[tex] z_1 = \frac{17-32}{5} = -3[/tex]

[tex] z_2= \frac{47-32}{5} = 3[/tex]

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Answer:

surface area = 28 yard²

Step-by-step explanation:

given data

1 unit length of cube = 1 yd

solution

As given image shown that rectangular solid has length 5 units, width 2 units, and height 2 units.

so we get here surface area that is we get by area of each of its faces

we can see three face are

A front = L × W  = 2 × 2 = 4

A side = L × W  = 5 × 2 = 10

A top = L × W = 5 × 2 = 10

so here

surface area = ( front + back ) + ( left side + right side ) + ( top + bottom )   ................1

surface area = ( 2 × front ) + ( 2 × left side ) + ( 2 × top )

surface area = ( 2 × 4 ) + ( 2 × 10 ) + ( 2 × 10 )

surface area = 8 + 20 + 20

surface area = 28 yard²

Answer:

Width = (x -1)

Step-by-step explanation:

Volume of rectangular prism = x³ + 9x² + 6x - 16

length * height *width =  x³ + 9x² + 6x - 16

(x + 2)(x + 8 )* width = x³ + 9x² + 6x - 16

Answer:

E) the new price is going to be $3.92

  Work: 3.50 × 12 / 100 = 0.42

             3.50 + 0.42 = 3.92

F) Dont understand what this one is asking

G) You would save 1.03$ with the 10% off.

  Work: 10.3 x 10 / 100

              103 / 100

             $1.03

hope this helps

Answer:

first graph shows he is standing still

second one is he is at constant speed.

third one is starts running and is speeding up

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Answer: $1,144.12

Step-by-step explanation: