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Bingel [31]
2 years ago
12

an isosceles triangle is drawn with base angles 24 degrees and a base of 28 cm. Find the base angles of the isosceles triangle w

ith the same base but with treble the area.
Mathematics
1 answer:
Fofino [41]2 years ago
8 0

Answer:

Step-by-step explanation:

height = 14tan(24°)

area = 0.5(base)(height)

Find the angle that triples the height.

tanθ = 3×14tan(24°)

θ = arctan(3×14tan(24°)) ≅ 53.2°

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A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the sala
balu736 [363]
The restaurants sold 50 salads.

-The given is that they sold 35 garden salads which is 70% of their sales.
-Now, to get how many salads 1% is equal to, you divide 35 by 70
-35/70 = 0.5
-So now, multiply 16 by 0.5 and 14 by 0.5
-16(0.5)=8 and 14(0.5)=7
-Add the three together to get 50
-Now, check to see if it works
70% of 50 is 35
16% of 50 is 8
14% of 50 is 7

Hope this helps and is right, have a good day!
4 0
3 years ago
Student records suggest that the population of students spends an average of 6.30 hours per week playing organized sports. The p
Ymorist [56]

Answer:

a) 99.24% chance HLI will find a sample mean between 5.5 and 7.1 hours.

b) 81.64% probability that the sample mean will be between 5.9 and 6.7 hours.

Step-by-step explanation:

To solve this question, it is important to know the Normal probability distribution and the Central Limit Theorem

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.

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 \frac{\sigma}{\sqrt{n}}.

In this problem, we have that:

\mu = 6.3, \sigma = 2.1, n = 49, s = \frac{2.1}{\sqrt{49}} = 0.3

A) What is the chance HLI will find a sample mean between 5.5 and 7.1 hours?

This is the pvalue of Z when X = 7.1 subtracted by the pvalue of Z when X = 5.5.

By the Central Limit Theorem, the formula for Z is:

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

X = 7.1

Z = \frac{7.1 - 6.3}{0.3}

Z = 2.67

Z = 2.67 has a pvalue of 0.9962

X = 5.5

Z = \frac{5.5 - 6.3}{0.3}

Z = -2.67

Z = -2.67 has a pvalue of 0.0038

So there is a 0.9962 - 0.0038 = 0.9924 = 99.24% chance HLI will find a sample mean between 5.5 and 7.1 hours.

B) Calculate the probability that the sample mean will be between 5.9 and 6.7 hours.

This is the pvalue of Z when X = 6.7 subtracted by the pvalue of Z when X = 5.9

X = 6.7

Z = \frac{6.7 - 6.3}{0.3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

X = 5.9

Z = \frac{5.9 - 6.3}{0.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So there is a 0.9082 - 0.0918 = 0.8164 = 81.64% probability that the sample mean will be between 5.9 and 6.7 hours.

5 0
3 years ago
Plz help me with a and b <br>who can answer in a minute
Irina18 [472]
(a) \frac{1}{4}
(b) The Road Tennis Court occupies \frac{1}{3} of the shaded portion.

I hope it helps! ;)
5 0
3 years ago
Read 2 more answers
Factor to find the zeros of the function:
enyata [817]

Step-by-step explanation:

y = 8x² + 8x - 96

y = 8(x² + x - 12)

y = 8(x + 4)(x - 3)

When y = 0, 8(x + 4)(x - 3) = 0.

=> x = -4 or x = 3. (B)

7 0
3 years ago
I need answers kind of struggling
SIZIF [17.4K]

Answer:

45

Step-by-step explanation:

1/200*90=9/20

multiply by 100 because you need to convert to cm and you get 45

5 0
2 years ago
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