All categories

3 years ago

What is the missing leg length of the hypotenuse 23 and the other leg is 11??

2 answers:

6 0

To find the 3rd side of a triangle, use the pythagorean theorem.
a^2 + b^2 = c^2

a = 11
b = ?
c = 23

11^2 + b^2 = 23^2
121 + b^2 = 529
b^2 = 408
b = √408 = 2 √102 = 20.199, 20.2, or 20

The answer can be any of those.

miv72 [106K]3 years ago

3 0

$\sqrt{23 x^{2}-{11 x^{2} } }$ ≈20.2

You might be interested in

Amy bake a tray of muffins that holds 6 muffins she baked four tray i know that 24 muffins but how is 10 times that amount

Lina20 [59]

24 × 10 = 240
Your answer is 240 muffins.

4 0

3 years ago

The manufacturer of an airport baggage scanning machine claims it can handle an average of530 bags per hour.(a-1) At α = .05 in

-Dominant- [34]

Answer:

b. H0: μ < 530. Reject H0 if tcalc > -1.753

Step-by-step explanation:

1) Data given and notation

$\bar X=507$ represent the sample mean

$s=47$ represent the sample standard deviation

$n=16$ sample size

$\mu_o =530$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less than 530 (left tailed tes), the system of hypothesis would be:

Null hypothesis: $\mu \geq 530$

Alternative hypothesis: $\mu < 530$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{507-530}{\frac{47}{\sqrt{16}}}=-1.957$

Critical value

Since we are conducting a left tailed test we need to first find the degrees of freedom for the statistic given by:

$df=n-1=16-1=15$

Now we need to look on the t distribution with 15 degrees of freedom that accumulates 0.05 of the area on the left area. And on this case the critical value would be $t_{\alpha}=-1/753$ .

And we can use the following excel code to find it: "=T.INV(0.05,15)"

So then the correct rejection zone for H0 would be: Reject H0 if $t_{calc}$

P-value

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(15)}$

Conclusion

If we compare the p value and the significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean is significantly lower than 530 at 5% of significance.

6 0

3 years ago

PLEASE HELP!!!!!!!!!!!!! answer the picture below

Nat2105 [25]

The answer to this is (4,0)

6 0

3 years ago

Read 2 more answers

55.5% repeating as a decimal

liberstina [14]

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

5 0

4 years ago

Read 2 more answers

Which of the following statements is true? Will mark BRAINLIEST if the answer is right. 20 points!

frutty [35]

Answer:

this (｡ŏ_ŏ) statement is correct.

J) 180° - m<7 = m<1

4 0

3 years ago