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madreJ [45]
3 years ago
13

CAN ANYONE HELP ME THANKS FOR BRAINLIEST ANSWER? Find slope ( simplest form) parallel to the line 4x+2y=3

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

Slope = -2

Step-by-step explanation:

You want to get it to the slope intercept form first.

2y = -4x + 3

Divide by 2

y = -2x + 3/2

Parallel means in the new slope intercept form there will still be -2x.

y = -2x + b (enter in points ( 0, 1.5 ) )

1.5 = 0 + b

b = 1.5

y = -2x + 1.5 ( just an example of a line parallel to 4x + 2y = 3 )

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The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg
kifflom [539]

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7

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3 years ago
What is the area of the figure?
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3 years ago
What is the first step when rewriting y=3x^2+9x-18
Pachacha [2.7K]

Answer:

do the pemdas

p=()

e=X^x

md= multiply then devide

as= add then subtract

Step-by-step explanation:

y=3x^2+9x-18

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3 0
2 years ago
A university financial aid office polled a random sample of 670 male undergraduate students and 617 female undergraduate student
ahrayia [7]

Answer:

The 90% confidence interval for the difference between the proportions of male and female students who were employed during the summer is (0.01, 0.1012).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Male undergraduates:

670, 388 were employed. So

p_M = \frac{388}{670} = 0.5791

s_M = \sqrt{\frac{0.5791*0.4209}{670}} = 0.0191

Female undergraduates:

Of 617, 323 were employed. So

p_F = \frac{323}{617} = 0.5235

s_F = \sqrt{\frac{0.5235*0.4765}{617}} = 0.0201

Distribution of the difference:

p = p_M - p_F = 0.5791 - 0.5235 = 0.0556

s = sqrt{s_M^2+s_F^2} = \sqrt{0.0201^2 + 0.0191^2} = 0.0277

Confidence interval:

The confidence interval is given by:

p \pm zs

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower bound of the interval is:

p - zs = 0.0556 - 1.645*0.0277 = 0.01

The upper bound of the interval is:

p + zs = 0.0556 + 1.645*0.0277 = 0.1012

The 90% confidence interval for the difference between the proportions of male and female students who were employed during the summer is (0.01, 0.1012).

5 0
3 years ago
Which is a TRUE statement about skew lines?
VikaD [51]
<span><u>Answer </u>
Skew lines do not lie on the same plane.

<u>Explanation </u>
Skew line are lines that do not meet yet they are not parallel. Skew line are such that when translated they make an angle with each other. So they cannot be said to be parallel.  
</span>
3 0
2 years ago
Read 2 more answers
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