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Scorpion4ik [409]
3 years ago
11

PLEASE HELP ILL GIVE 20 POINTS

Mathematics
2 answers:
Molodets [167]3 years ago
7 0
Area of smaller triangle: \dfrac12\cdot4\cdot2=4

Area of larger triangle: \dfrac12\cdot6\cdot3=9

Area of inner rectangle: 6\cdot4=24

Total area: 2\cdot4+2\cdot9+24=50\text{ cm}^2
Lyrx [107]3 years ago
7 0

Answer:

Area of smaller triangle: \dfrac12\cdot4\cdot2=4

Area of larger triangle: \dfrac12\cdot6\cdot3=9

Area of inner rectangle: 6\cdot4=24

Total area: 2\cdot4+2\cdot9+24=50\text{ cm}^2

Step-by-step explanation:

You might be interested in
For a particular diamond mine, 81% of the diamonds fail to qualify as "gemstone grade". A random sample of 92 diamonds is analyz
Fed [463]

Answer:

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 92, p = 0.81

So

\mu = E(X) = np = 92*0.81 = 74.52

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{92*0.81*0.19} = 3.76

Find the probability that more than 79% of the sample diamonds fail to qualify as gemstone grade.

This is 1 subtracted by the pvalue of Z when X = 0.79*92 = 72.68. So

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

Z = \frac{72.68 - 74.52}{3.76}

Z = -0.49

Z = -0.49 has a pvalue of 0.3121

1 - 0.3121 = 0.6879

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

4 0
3 years ago
Ralph Chase plans to sell a piece of property for ​$150000. He wants the money to be paid off in two ways a - ​short-term note a
Artyom0805 [142]

Answer:

Amount on 11% note = $106,666.67

Amount on 8% note = $43,333.33

Step-by-step explanation:

Let the amount for the ​short-term note at ​11% interest be x.

Thus, the amount for the ​short-term note at ​8% interest will be (150000 - x)

Now we are told that the total interest paid is $15,200.

Thus;

0.11x + 0.08(150000 - x) = 15200

0.11x + 12000 - 0.08x = 15200

Rearranging gives;

0.03x = 15200 - 12000

0.03x = 3200

x = 3200/0.03

x = $106666.67

Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33

5 0
2 years ago
Pls help me out with this stupid question
Marta_Voda [28]

Answer:

138.248cm²

Step-by-step explanation:

Surface area=2πrh + 2πr²

Surface area=2x3.142x2x9+ 2x3.142x2²

Surface area=113.112+25.136

Surface area=138.248cm²

5 0
3 years ago
Read 2 more answers
50 POINTS QUESTION ATTACHED. CHOOSE TWO CORRECT ANSWERS!
OlgaM077 [116]

Answer:

B and D

Step-by-step explanation:

A difference of squares has the form a² - b²

4p² - 9 = (2p)² - 3² ← is a difference of squares

q² - 36 = q² - 6² ← is a difference of squares

4 0
3 years ago
Molly ordered 12 t-shirts for 14.00 and Teena ordered 23 t-shirts for 14.00 how much did they spend in all? Use the distributive
Cerrena [4.2K]
All together they spent 490

3 0
3 years ago
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