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2 years ago

FGH is a right angle true or false

Mathematics

2 answers:

galina1969 [7]2 years ago

8 0

Answer:

Yes

Step-by-step explanation:

f to h to g is a right triangle

jeka57 [31]2 years ago

7 0

Answer:

The correct option is B.

Step-by-step explanation:

According to the Pythagoras theorem, in a right angled triangle the sum of squares of both legs is equal to the square of hypotenuse.

$hypotenuse^2=perpendicular^2+base^2$

From the given triangle it is clear that the measure of both legs are 6 units and √(63) units , and the measure of hypotenuse is 10 units.

$(10)^2=(\sqrt{63})^2+(6)^2$

Solve the LHS,

$LHS=(10)^2$

$LHS=100$

Solve the RHS,

$RHS=(\sqrt{63})^2+(6)^2$

$RHS=63+36$

$RHS=99$

$LHS\neq RHS$

The given triangle FGH is not a right angled triangle, therefore the correct option is B.

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Explain why ABC cannot be mapped onto EFG by a reflection of ABC over the -axis followed by a slide of 8 units to the left.

Kitty [74]

Answer:

It won't be the same shape and length and width I think

Step-by-step explanation:

7 0

3 years ago

A jar contains 6 yellow marbles, 14 red marbles, and 7 green marbles. what is the probability of selecting a red or yellow marbl

Mama L [17]

Add all the marbles up: 6 + 14 + 7 = 27 marbles
There are 6 yellow marbles and 14 red marbles. 6 + 14 = 20

The probability of selecting a red/yellow marble is a 20 out of 27 chance.

8 0

3 years ago

A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40

bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

a. How large was the sample used in this survey?

We have that $s = 25, \sigma = 400$ . We want to find n, so:

$s = \frac{\sigma}{\sqrt{n}}$

$25 = \frac{400}{\sqrt{n}}$

$25\sqrt{n} = 400$

$\sqrt{n} = \frac{400}{25}$

$\sqrt{n} = 16$

$(\sqrt{n})^2 = 16^2[tex][tex]n = 256$

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0

3 years ago

Does anyone know this

Tamiku [17]

Answer:

I belive the answer is A

Step-by-step explanation:

So any answer with 22t would make sense, so you have A and C. In C though, it is subtracting 22, but since 6195 is the total it would have to include the 22 so it is A.

8 0

2 years ago

Please help me do number One

valentina_108 [34]

What are the options on top take a picture of those then I will be able to help you

4 0

2 years ago