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3 years ago

What is the second step when you construct a copy of a line segment

1 answer:

7 0

Answer: The second step for copying a line segment is to set the compass to the length of the line segment to be copied.

When copying a line segment, you must first create your starting point.

Then, you need to set your compass to the length of the line segment to be copied.

Finally, you can make an arc and finish your line segment.

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Write an equation in slope intercept form for the line that is parallel to y = x - 6 and that passes through the point (-5, -6)

mafiozo [28]

Answer:

y = x - 1

Step-by-step explanation:

First, determine your slope from the given equation y = x - 6

In slope intercept form: y = mx + b, the value for m is the slope.

By looking at "x", there is a coefficient of 1 and therefore 1 is the slope.

Since parallel lines have the same slope, use the slope 1 to rewrite a second eqaution using

the point-slope formula: y - y1 = m(x - x1) and the given point (-5, -6)

y - y1 = m(x - x1)

y - (-6) = 1 (x - (-5)) (Plug in values)

y + 6 = 1(x + 5) (Distribute negatives)

y + 6 = 1x + 5 (Distribute 1 to both terms in the parentheses)

- 6 - 6 (Subtract 6 from both sides)

y = 1x - 1 OR y = x - 1

Check your work by plugging in the given point to your equation:

y = x - 1

-6 = -5 - 1 (Plug in values)

-6 = -6

8 0

3 years ago

The gross weekly sales at a certain restaurant are a normal random variable with mean $2200 and standard deviation $230.What is

Lesechka [4]

Answer:

a) The total gross sales over the next 2 weeks exceeds $5000 is 0.0321.

b) The weekly sales exceed $2000 in at least 2 of the next 3 weeks is 0.9033.

Step-by-step explanation:

Given : The gross weekly sales at a certain restaurant are a normal random variable with mean $2200 and standard deviation $230.

To find : What is the probability that

(a) the total gross sales over the next 2 weeks exceeds $5000;

(b) weekly sales exceed $2000 in at least 2 of the next 3 weeks? What independence assumptions have you made?

Solution :

Let $X_1$ and $X_2$ denote the sales during week 1 and 2 respectively.

a) Let $X=X_1+X_2$

Assuming that $X_1$ and $X_2$ follows same distribution with same mean and deviation.

$E(X)=E(X_1+X_2)=E(X_1)+E(X_2)$

$E(X)=2\mu = 2(220)=4400$

$\sigma_X=\sqrt{var(X_1+X_2)}$

$\sigma_X=\sqrt{2\sigma^2}$

$\sigma_X=\sqrt{2}\sigma$

$\sigma_X=230\sqrt{2}$

So, $X\sim N(4400,230\sqrt{2})$

$P(X>5000)=1-P(X\leq5000)$

$P(X>5000)=1-P(Z\leq\frac{5000-4400}{230\sqrt{2}})$

$P(X>5000)=1-P(Z\leq1.844)$

$P(X>5000)=1-0.967$

$P(X>5000)=0.0321$

The total gross sales over the next 2 weeks exceeds $5000 is 0.0321.

b) The probability that sales exceed teh 2000 and amount in at least 2 and 3 next week.

We use binomial distribution with n=3.

$P(X>2000)=1-P(X\leq2000)$

$P(X>2000)=1-P(Z\leq\frac{2000-2200}{230})$

$P(X>2000)=1-P(Z\leq-0.87)$

$P(X>2000)=1-0.1922$

$P(X>2000)=0.808$

Let Y be the number of weeks in which sales exceed 2000.

Now, $P(Y\geq 2)$

So, $P(Y\geq 2)=P(Y=2)+P(Y=3)$

$P(Y\geq 2)=^3C_2(0.8077)^2\cdot (1-0.8077)+^3C_3(0.8077)^3$

$P(Y\geq 2)=0.37635+0.52692$

$P(Y\geq 2)=0.90327$

The weekly sales exceed $2000 in at least 2 of the next 3 weeks is 0.9033.

3 0

3 years ago

What is 1/6 plus 1/3 plus 1/2 equals to?

Scorpion4ik [409]

1/6 + 1/3 + 1/2 is 1
first u need to find the GCF which is 6 here
convert all the denominators to 6
1/6 + 2/6 + 3/6
when you add them all together u get 6/6 which is also equivalent to 1

4 0

3 years ago

Read 2 more answers

different animals have different fields of view. humans can generally see a 180° arc in front of them. horses can see 215° arc.

IgorLugansk [536]

Answer:

The area of the riders field of view is 987.5 square yards.

Step-by-step explanation:

The human has a 180° arc view. If the rider can see only 25 yards, the area of the riders field of view is a semi-circle (180° arc) of 25 yards of radius.

The semi-circle of 25 yards of radius has an area of:

$S=\dfrac{1}{2}\pi r^2=\dfrac{1}{2}\cdot3.16\cdot (25)^2=\dfrac{1}{2}\cdot3.16\cdot625=987.5$

The area of the riders field of view is 987.5 square yards.

4 0

3 years ago

Name one situation in which a humor device would be good to use in your writing?

lapo4ka [179]

When using serious words, you could make a joke in the notice to lighten up the topic

3 0

3 years ago