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Feliz [49]
2 years ago
6

Pepper Jackie draws a map of the youth center building. The length of the building in her map is 6 inches. The actual length of

the building is 72 feet. What is the scale of Jackie’s Map?

Mathematics
2 answers:
svp [43]2 years ago
5 0

Answer:

1 in. : 12 ft

Step-by-step explanation:


faust18 [17]2 years ago
3 0

Answer:

Scale of Jackie's map is 1 in : 12 ft. Option B is correct.

Step-by-step explanation:

Pepper Jackie draws a map of the youth center building.

The actual length of the building = 72 feet.

The length shown in the map = 6 inches.

To calculate the scale of Jackie's Map, we divide the actual length to the length shown in the map.

72 feet = 6 inches

Therefore 1 inches = 72 ÷ 6 = 12 feet

Scale of Jackie's map is 1 in : 12 ft.

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The water level of a river is 170 feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this
Vladimir [108]

Sample Answer: No, Ingrid is incorrect. The initial value in the scenario is 170 feet, which represents the y − intercept. Receding 4 feet in the scenario represents the rate of change, which is the slope. In slope-intercept form, y = mx + b, where m represents slope and b represents the y−intercept, so the correct equation is y = −4x + 170.


3 0
2 years ago
Read 2 more answers
Marcus earned $54,000 last year when the Social Security tax was 6.2% of income up to $94,200. His Medicare tax was 1.45%. How m
AysviL [449]

Answer

Social security tax amount = $3348

Medicare tax amount = $743

Step by step explanation

The amount earned by Marcus = $54000

Social security tax = 6.2% = 6.2/100 = 0.062

Social security tax amount = 54000*0.062

Social security tax amount = $3348

Medicare tax = 1.45% = 1.45/100 = 0.0145

Medicare tax amount = 54000*0.0145

Medicare tax amount = $743

Hope this will help you.

6 0
2 years ago
Read 2 more answers
A standard city block in Manhattan is a rectangle measuring 80 m by 270 m. A resident wants to get from one corner of a block to
kondor19780726 [428]

Answer:

68.4 meters shorter

Step-by-step explanation:

ok so you want to compare the distance  80 m + 270 m with the diagonal length.

the diagonal length =  root ( 80^2   +  270^2 )

diagonal length = root(6400 +  72900)

diagonal = root(79300) =281.602 m

so.

350 - 281.602 = 68.397 meters  about  68.4 meters  shorter than walking around

5 0
2 years ago
Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t
Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0

The parameter of the exponential distribution is:

\lambda=\frac{1}{\mu}=\frac{1}{4}=0.25

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx

                 =0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821

Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

3 0
2 years ago
Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an avera
tiny-mole [99]

Answer:

We conclude that the sonnets were written by by a certain Elizabethan poet.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 8.9

Sample mean, \bar{x} =10.2

Sample size, n = 6

Alpha, α = 0.05

Population standard deviation, σ = 2.5

First, we design the null and the alternate hypothesis

H_{0}: \mu = 8.88\\H_A: \mu > 8.88

We use One-tailed z test to perform this hypothesis.

a) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{10.2 - 8.9}{\frac{2.5}{\sqrt{6}} } = 1.28

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

b) We calculate the p value with the help of z-table.

P-value = 0.1003

The p-value is greater than the significance level which is 0.05

c) Since the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis and accept the null hypothesis.

Thus, we conclude that the sonnets were written by by a certain Elizabethan poet.

6 0
2 years ago
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