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2 years ago

14

A map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. a. If Greenwich and Stonington are 105 m

iles from each other, how far apart do they appear on the map? b. On this same map the road from Mystic to Hartford is 1½ inches long. How far apart are Mystic and Hartford?

2 answers:

Contact [7]2 years ago

7 0

A. 26.25 miles B. 6 inches apart. Hopefully this helps.

Oliga [24]2 years ago

5 0

I got 26.25 and 6
Hope this was helpful:)

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1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that

valina [46]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

$z=\frac{100000-72641}{30000}=0.91$

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{5} }=2.04$

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{10} }=2.88$

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

4 0

2 years ago

Help plz,BIG POINTS,also plz show me the steps as best as possible

Sidana [21]

Answer:

The correct answer is option 3.

Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

PM = 8

MR = 18

To find = QM

Solution :

PR = 8 + 18 = 26

Let, PQ = x , QR = y, QM = z

Applying Pythagoras Theorem in ΔPQR

$PQ^2+QR^2=PR^2$

$x^2+y^2=(26)^2$ ..[1]

Applying Pythagoras Theorem in ΔPQM

$PM^2+QM^2=PQ^2$

$8^2+z^2=(x)^2$ ..[2]

Applying Pythagoras Theorem in ΔQMR

$MR^2+QM^2=QR^2$

$18^2+z^2=(y)^2$ ..[3]

Putting values of $x^2$ and $y^2$ from [2] and [3 in [1].

$8^2+z^2+18^2+z^2=(26)^2$

$2z^2=(26)^2-(8)^2-(18)^2$

$2z^2=288$

$z^2=144$

z = ±12

z = 12 = QM ( ignoring negative value)

The length of QM is 12.

6 0

2 years ago

What is the volume of the following triangular prism?

Eva8 [605]

Answer:

$V=150cm^3$

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the formula:

$A_T=\frac{bh}{2}$

where b is the base: $b=4cm$ and h is the height: $h=5cm$

thus, in this case we have:

$A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2$

And now, the volume will be the area of the triangle multiplied by the length $l=15cm$ of the prism:

$V=A_T*l$

Substituting the known values:

$V=10cm^2*15cm\\V=150cm^3$

The volume in cubic centimeters is 150.

4 0

3 years ago

The high school has 26 teachers and 546 students. What is the ratio of teachers to students?

skelet666 [1.2K]

Answer:

1:21

Step-by-step explanation:

Easiest trick way to do this is do 26/546 on your calculator (if you got a scientific one) this would simplify this to its lowest fraction which can be converted into a ratio in this case the ratio of teachers to students is 1:21

8 0

2 years ago

Barak spent $20 at the arcade. this represents 10%of the money earned by working at thepizza parlor last week.

Karolina [17]

20=10%
times 10
200=100%

he earned $200 at the parlor

4 0

3 years ago