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2 years ago

Find EG

Mathematics

1 answer:

tresset_1 [31]2 years ago

8 0

EG is 12.2 because the line down the middle is called a bisect which means that it splits the triangle right down the middle making each side equal. so if you do 6.1 x 2 or just add 6.1+6.1 which is the same thing lol, you will have your answer

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In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the

serious [3.7K]

Answer:

0.017559

Step-by-step explanation:

Data provided:

Probability of Households Having cable TV, p₀ = 76% = 0.76

Therefore,

The probability that the Households not having cable TV = 1 - 0.76 = 0.24

Sample size, n = 225 households

sample proportions is less than 82% i.e p = 0.82

Now,

The standard error, SE = $\sqrt{\frac{p_0(1-p_0)}{n}}$

SE = $\sqrt{\frac{0.76(1-0.76)}{225}}$

SE = 0.02847

and,

$Z=\frac{p-p_0}{SE}$

$Z=\frac{0.82-0.76}{0.02847}$

Z = 2.107

therefore,

P(sample porportions < 0.82) = P(Z < 2.107)

now from the p value from the Z table

we get

P(sample porportions < 0.82) = 0.017559

6 0

2 years ago

Which lines are perpendicular to the line y - 1= 1(x+2)? Check all that apply

Vesnalui [34]

Step-by-step explanation:

Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

Rewrite the equation given

y-1 = 1(x+2)

y-1 = x+2

y = x+2+1

y = x+3

Comparing to the standard form, the slope m = 1.

For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1

Substitute

1(M) = -1

M = -1

For us to know the line that is perpendicular to the given line, its slope must be -1.

<em>Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).</em>

6 0

2 years ago

A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwich

valkas [14]

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use $x$ to represent turkey sandwiches and $y$ to represent steak sandwiches.

$x$ = turkey sandwiches

$y$ = steak sandwiches

$x + y = 925$ total sandwiches that were sold

$4x + 6y = 4524$ dollars that were made

$x + y = 925\\y = 925 - x$

Now that we know what $y$ (steak sandwiches) equals, we plug it in to an equation to find $x$ .

$4x + 6(925-x) = 4524\\4x + 5550 -6x=4524\\$

Now, we subtract 5,550 from BOTH sides so we can get x by itself.

$-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026$

Next, we divide both sides by 2, so x is bare.

$\frac{2x}{2} = \frac{1026}{2}$

$x = 513$

Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.

I hope this helps! :)

3 0

2 years ago

PLEASE HELP! Geraldine is moving furniture in her family room. Her friend helps her slide her coffee table to a different place.

Alina [70]

Answer:

- Translation

Step-by-step explanation:

Movement of a rigid object from one place to another without any turning is "translation." If the object also changes its orientation angle, then rotation is involved.

4 0

2 years ago

You have a 40% coupon, what will the price be of shoes that cost 45

Bond [772]

Answer:

20.25

Step-by-step explanation:

45x.40=20.25

4 0

2 years ago