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lord [1]
3 years ago
5

Sam is an apprentice carpenter whose boss asked him to construct a perfectly rectangular frame with a diagonal brace. When Sam h

ad finished his boss measured the width of the frame to be 50 cm, the length to be 90 cm and the diagonal brace to be 100 cm. was Sam's boss happy with his work? Use mathematics to explain how you determined your answer
Mathematics
1 answer:
zalisa [80]3 years ago
3 0
If it's a perfectly rectangle frame with W = 50 cm & L= 90 cm

So the right diagonal should be √(50² +90²) = √10600 =102.96 cm

as per the calculation the diagonal should have a length of 102.96 cm, but the boss found 100 cm, that means their should be a frame which diagonal equal to 100 cm, short by 2.96 cm, that means short by 2.96/2 = 1.48 cm from the bottom & 1.48 cm from the top (same as well as for the 2nd diagonal)
In this case the boss should be happy

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What is three and 2 fourths and minus two and three fourths
netineya [11]

Answer:

The answer is 0.75

Hope this helps!

3 0
2 years ago
How do I answer this question❓
bezimeni [28]
The answer is C because the equation would actually have a solution
6 0
3 years ago
11. Henry had a batting average of
marin [14]

The probability of getting exactly 8 hits in his next 20 at-bats is 0.153 (Round off to the nearest thousandth.).

The correct option is (c)

<h3>What is Binomial distribution?</h3>

Binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.

Probability= C^{n}_r\; p^{r} \;q^{(n-r)

where, n= number of trial,

r= number of success desire,

p= probability of success,

q= probability of Failure

probability of success = 0.34

To find the probability of winning exactly 8 hits in next 20 at-bats we find

dbinom (8, 20, 0.34)

Since p= 0.34

q= 1-p

 = 1-0.34

 = 0.66

n= 20, r=8

Using Binomial Distribution, we get

Probability= C^{n}_r\; p^{r} \;q^{(n-r)

                 =\frac{n!}{r!(n-r)!} p^{r}\; q^{(n-r)}

                 = \frac{20!}{8!(20-8)!} (0.34)^{8}\; (0.66)^{(20-8)}

                = 125970 x 0.0001785794 x 0.00683168

                = 0.1536830

                ≈ 0.153 (Round off to the nearest thousandth.)

Hence, the probability of getting exactly 8 hits in his next 20 at-bats is 0.153.

Learn more about Binomial Distribution here:

brainly.com/question/16934457

#SPJ1

5 0
2 years ago
Car dealers sometimes use the rule of thumb that a car loses about 30% of its value each year. 1. Suppose you bought a new car i
Artemon [7]

Answer: A=15000(1.30)^t

Step-by-step explanation:

Formula to find the price of an item after t years after withe a depreciation rate of r% is A=P(1-\dfrac{r}{100})^t, where P = Initial value of item.

Given: P = $15,000, r= 30%

Then, the value of car after t years will be :

A= 15000(1+\dfrac{30}{100})^t\\\\\Rightarrow\ A=15000(1+0.30)^t\\\\\Rightarrow\ A=15000(1.30)^t

The required general formula for the value of the car t years after its purchase:

A=15000(1.30)^t

7 0
3 years ago
56 + -90 * 2 - -17 =
julsineya [31]

Answer: -1654

Step-by-step explanation:

4 0
3 years ago
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