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2 years ago

What is the equation of a line that is perpendicular to the line that is given by the equation y = 2?

1 answer:

6 0

X=2
why the first line starts from left to right on a cartesian plane, the second slants from top to bottom making it perpendicular

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Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in four yea

Oksanka [162]

Answer:

Step-by-step explanation:

1% of 500 is 5

5*4(amount of years) = £20

3 0

2 years ago

When x = 5, the value of the expression –2(x – 10) is

nikitadnepr [17]

Answer:

The value of the expression at x=5 is 10

Step-by-step explanation:

The given expression is $-2(x-10)$

Let us simplify this expression.

Distribute -2 over the parentheses, we get

$-2x+20$

Now, substitute x = 5, we get

$-2(5)+20$

On simplifying, we get

$-10+20\\=10$

The value of the expression at x=5 is 10

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=-8%5E%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="-8^\frac{1}{3}" alt="-8^\frac{1}{3}" align

Charra [1.4K]

9514 1404 393

Answer:

-2

Step-by-step explanation:

-8^(1/3) = -(2^3)^(1/3) = -(2^(3/3)) = -2

6 0

2 years ago

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 510,

Brums [2.3K]

Answer:

Step-by-step explanation:

solve a + (3a) + (a + 100)=510

7 0

2 years ago

6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis

Yakvenalex [24]

Answer:

92.9997< $\mu$ <99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

<em>Hence a 90% confidence interval for the population mean using this sample data is 92.9997<</em> $\mu$ <em><99.5203</em>

4 0

2 years ago