find the value of x. geometry!

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

Answer: The data is a random sample from the population of interest. Individual observations can be considered independent.

Step-by-step explanation:

The condition for constructing this confidence interval :

A) The data is a random sample from the population of interest.

C) Individual observations can be considered independent.

The correct options are A and C.

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

Given:

A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.

From the given choices:

The condition for constructing this confidence interval :

A) The data is a random sample from the population of interest.

C) Individual observations can be considered independent.

Therefore, A and C are the correct options.

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The complete question:

A development expert wants to use a one-sample zzz interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an

SRS of 50 women from this population and finds that 48 are literate.

Which conditions for constructing this confidence interval did their sample meet?

Choose all answers that apply:

A

The data is a random sample from the population of interest.

B

The observed counts of successes and failures are both sufficiently large.

C

Individual observations can be considered independent.

Answer:

$368

Step-by-step explanation:

His gross pay was $368 for last week.

The commission is determined by the product of the commission rate and the total sales.

Commission = Commission rate x Total sales

As per the question, we have data :

Hourly rate $10

Commission rate =8%

Number of hours worked-20

Total sales $2,100

The gross pay is the product of the hourly rate and the number of hours worked.

Gross pay Hourly rate × Number of hours worked

= $10 × 20

= $200

We know that,

Commission = Commission rate x Total sales

= 8% x $2,100

= 0.08 x $2,100

= $168

The total pay is then the gross pay increased by the commission:

Total pay = Gross pay + Commission

Total pay = $200+ $168

Total pay = $368

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Answer:

1/4

Step-by-step explanation:

2x=-1/10 + 3/5

2x=1/2

x=1/4

Answer:

B: (-6, -1)

Step-by-step explanation:

6+x/2 = 0

6+x = 0

x = -6

-5+y/2 = -3

-5 + y = -6

y = -1

Answer:

(-6,-1)

Step-by-step explanation:

We can use the midpoint formula here to find the coordinates of B . Given data :-

Let B be B(p , q) . Then ,

=> M = ( x₁ + x₂/2 , y₁ + y ₂ /2 )

=> (0 ,-3) = ( 6 + p/2 , -5+q/2)

=> 0 = 6 + p/2

=> 6 + p = 0

=> p = (-6)

=> -3 = -5+q/2

=> -5+q = -6

=> q = 5-6

=> q = (-1)

Answer:

240 g chocolate

18 eggs

70 mL lemon juice

80 g sugar

Step-by-step explanation:

600 g choc - (2 x 180) = 240 g left

36 eggs - (2 x 9) = 18 left

100 mL lemon - (2 x 15) = 70 mL left

200 g sugar - (2 x 60) = 80 g left

Answer:

Ingredients will have left

Chocolate

Eggs

Lemon juice

Sugar

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

Answer:

1/2

Step-by-step explanation:

Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.

(and usually means multiply the probabilities while or implies addition of the probabilities).

Let probability of snowing on Monday be P

Hence 3/10=3/5× P

Hence P=(3/10) divided by (3/5) = 1/2

Answer:

She talked for 138 minutes

Step-by-step explanation:

Answer:

x=18 and y=106

Step-by-step explanation:

Answer:

4x + 3y + 2

Step-by-step explanation:

3(y + 2) + 4(x - 1)

3y + 6 + 4x - 4

4x + 3y + 2

Answer:

the second one from up to down

Step-by-step explanation:

no I don't I'm sorry.....

Answer:

Option B and D are correct

Step-by-step explanation:

Exponential functions are really useful in the real world situation. They can be used to solve following

a) Population Models

b) Determination of area and perimeters

c) Determine time related things such as half life, time of happening of an event etc.

d) Useful for solving financial problems such as computing investments etc.

Hence, option B and D

Answer:

It's C

Step-by-step explanation:

Because it says to look for the number 5 on the chart and chart C is the only one that has is on there. Hope this helped!

You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.

Answer:

I think you got to time it all togther and the answer would be 531.44m^3

Step-by-step explanation:

(5.2×7×14.6)mmm

(36.4×14.6)mmm

531.44m^3

Answer:

it will be 2:50

Step-by-step explanation:

Measuring your fitness level regularly is one way to find out if you're making progress. Most fitness centers have trained staff who can evaluate your body composition, muscular strength and endurance, flexibility, and cardiovascular endurance, but it can be pricey. If you don’t have access to all the toys and tools of your gym, don’t panic. You have everything you need to measure your fitness level in your own house!

This One-Mile Walking Test measures your aerobic (cardiovascular) fitness level based on how quickly you are able to walk a mile at a submaximal (moderate) exercise intensity.

Answer:

1. 3413

2. 4886

3. 114

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean is 400 hours and the standard deviation is 50 hours

This means that [tex]\mu = 400, \sigma = 50[/tex]

1. Between 350 and 450 hours:

The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.

X = 450:

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

[tex]Z = \frac{450 - 400}{50}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413.

X = 350:

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

[tex]Z = \frac{350 - 400}{50}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 5000:

0.6826 out of 5000. So

0.6826*5000 = 3413

3413 are expected to last between 350 hours and 450 hours.

2.more than 300 hours

The proportion is one subtracted by the pvalue of Z when X = 300.

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

[tex]Z = \frac{300 - 400}{50}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

Out of 5000:

0.9772of 5000 is

0.9772*5000 = 4886

4886 are expected to last more than 300 hours.

3.less than 300 hours

4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.

Answer:

1,814,000 mg

Step-by-step explanation:

1 kg = 1,000 g

1 g = 1000 mg

1 kg + 814 g = 1,814 g

1,814(1000) = 1,814,000 mg

Answer:

B:  -2

Step-by-step explanation:

14-4/-4-1 = 10/-5 or -2

Answer:

-2...................

Answer:

Step-by-step explanation:

1 or 4 im not sure

Answer:

let no. be x and y.

we have

x+y=11.......(1)

x-y=5........(2)

adding equation 1&2

x+y+x-y=11+5

2x=16

x=16/2=8

again

8-y=5

y=8-5=3

:.

x=8,y=3

Answer: E

Step-by-step explanation: