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Norma-Jean [14]
3 years ago
13

. Rewrite the definition “All right angles measure 90 degrees” as a biconditional statement using “if and only if”.

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0

Answer:

It is a right angle if and only if it measures 90 degrees.

Step-by-step explanation:

Leto [7]3 years ago
3 0
The definition after using if and only if is    "<span>an angle is a right angle if and only if it measures 90 degrees".</span>
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Write an equation in slope-intercept form for the line with slope 8 and y-intercept -8.​
Fofino [41]

Answer:

y = 8x - 8

Step-by-step explanation:

y = mx + b is slope-intercept form

m - slope

b - y-intercept

so if you plug in 8 for m and -8 for b you'll get

y = 8(m)x - 8(b)

Hope this helps!!

6 0
2 years ago
Find the missing length
olga55 [171]

Answer:

θ ≈ 36.03°

Step-by-step explanation:

We can use tangent (opposite side / adjacent side) for this question:

tan (θ) = 8 / 11

θ = tan⁻¹ (8/11)

θ = 36.02737339

θ ≈ 36.03°

4 0
2 years ago
Help please I just need this
Makovka662 [10]
It’s 10077 because it’s hey
3 0
3 years ago
What is the value of y when the value of x is 1 Car mileage for a hybrid car
Svetllana [295]

Answer: 60

Step-by-step explanation:

Just got the wrong answer to see what it was

8 0
3 years ago
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
Ludmilka [50]

Answer:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
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