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Romashka-Z-Leto [24]
3 years ago
14

Use the measurements of the scale drawing and original to calculate the scale factor, and then use the scale factor to find the

length of side B
What is the length of side B?
cm
Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0

Answer:

Step-by-step explanation:

76

mina [271]3 years ago
5 0
??????????????????3456
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Work out the area of the triangle.<br> 6m<br> 8m<br> 10m<br> The diagram is not drawn to scale.
murzikaleks [220]

Answer:

I believe the answer is 40m2

Step-by-step explanation:

s area of a triangle is

1

2

×

base

×

height

Area of given triangle is

1

2

×

8

×

10

=

80

2

=

40

m

2

.

3 0
3 years ago
In a given year, the average annual salary of a NFL football player was $189,000 with a standard deviation of $20,500. If a samp
nika2105 [10]

Answer:

15.15% probability that the sample mean will be $192,000 or more.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 189000, \sigma = 20500, n = 50, s = \frac{20500}{\sqrt{50}} = 2899.14

The probability that the sample mean will be $192,000 or more is

This is 1 subtracted by the pvalue of z when X = 192000. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{192000 - 189000}{2899.14}

Z = 1.03

Z = 1.03 has a pvalue of 0.8485.

1-0.8485 = 0.1515

15.15% probability that the sample mean will be $192,000 or more.

7 0
3 years ago
The ratio of clown fish to angel fish at a pet store is 5:4 the ratio of angel fish to goldfish is 4:3 there are 60 clown fish a
padilas [110]
There is 4 angel fish and 3 goldfish
3 0
3 years ago
Sarah draws a square that has a side that measures 35.2 mm. What is the perimeter of the square?
max2010maxim [7]

Answer:

140.8 cm2

Step-by-step explanation:

a spare has 4 sides so you need to times 35.2 by 4 which is 140.8

8 0
3 years ago
Determine the value of x in the isosceles trapezoid.<br> Please help
xenn [34]

Answer:

90 degrees

Step-by-step explanation:

All trapazoids are equal to 360 degrees.

so we can make an equation 2x+x+x=360 (the other corner would also be x because its an unknown value)

to simplify, 4x=360

you divide into both sides (360/4)

you get 90

5 0
2 years ago
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