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Tasya [4]
3 years ago
5

The area of a triangle is 72cm squared. if its base is 16cm, find his height.​

Mathematics
2 answers:
galina1969 [7]3 years ago
8 0

Answer:

The height is 9 cm

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

72 = 1/2 ( 16) h

72 = 8h

Divide each side by 8

72/8 = 8h/8

9 = h

The height is 9 cm

KengaRu [80]3 years ago
6 0

Answer:

8 because it is a half base x height

Step-by-step explanation:

a half x 16= 8

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Explain why the expression 10 to the power of zero, one to the power of four and 1×1.0 to the power of zero have the same value
Nina [5.8K]

Answer:

10*0=1, according to the law of indices which states that anything to the zero power is equal to one

1*4=1×1×1×1=1

1×1.0=1.0=1

3 0
3 years ago
Please help, thanks. I don't understand how to do this.​
konstantin123 [22]

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

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3 years ago
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Orlov [11]
16x + 40y.....GCF is 8

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3 years ago
The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta
nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

Step-by-step explanation:

To solve this question, 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

Z = \frac{8.22 - 8.2}{0.018}

Z = 1.11

Z = 1.11 has a pvalue of 0.8665

X = 8.18

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

Z = \frac{8.18 - 8.2}{0.018}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0
3 years ago
Please help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of
Marysya12 [62]

Answer:

she brought 21 shirts and 2 pants

Step-by-step explanation:

shirts

21× 14.50 = $ 304.5

357- 304.5 = $ 52.5

pants

52.5÷ 25 = 2.1

4 0
3 years ago
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