Help, please! Attachment in the photo...

Which proportion can be used to show that the slope of JL is equal to the slope of MP

Ilya [14]

Answer:

See below and attached

Step-by-step explanation:

As per the graph we have:

Coordinates of JL are J(-7, 4), L(-4, 0)

Coordinates of MP are M(-10, 8), P(-1, -4)

Slope formula is:

m = (y₂ - y₁)/(x₂ - x₁)

Slope of JL:

(0 - 4)/(-4-(-7)) = - 4 / 3

Slope of MP:

(-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3

5 0

3 years ago

What is 26.99 round to the nearest tenth

Arte-miy333 [17]

Salutations!

To round to the nearest tenth, you need know whether the number next to tenth place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down. Now, in the number 26.99 9 is in the tenth place. The number next to 9 is greater than 5, so just add on to the ones place, making the tenth and hundredth place 0. Zero has no value so whether you add the zero or not, it does not matter.

26.99 round to the nearest tenth ≈ 27

Hope I helped (:

Have a great day!

5 0

3 years ago

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different

aev [14]

Answer/Step-by-step explanation:

✍️The equation of the line in point-slope form:

The equation is given as $y - b = m(x - a)$ , where,

(a, b) = a point on the line.

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

Let's find the slope (m) of the line, housing (3, 21) and (6, 12):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 21}{6 - 3} = \frac{-9}{3} = -3$

Substitute a = 3 and b = 21, m = -3 into $y - b = m(x - a)$ .

Thus, the point-slope equation would be:

✅ $y - 21 = -3(x - 3)$

✍️The equation of the line in slope-intercept form:

Rewrite $y - 21 = -3(x - 3)$ , so that y is made the subject of the formula.

$y - 21 = -3x + 9$

Add 21 to both sides

$y = -3x + 9 + 21$

$y = -3x + 30$

✅The slope-intercept equation of the line is $y = -3x + 30$

Where,

-3 = how much did his delivery time decrease per day (slope)

30 = how long it initially took Peter to deliver his packages (y-intercept)

5 0

3 years ago

Summer exercises for 0.5 hour on Monday Wednesday and Friday each week. How many hours will she exercise in four weeks

Sati [7]

Answer:

She will exercise for 6 hours in four weeks.

Step-by-step explanation:

Summer exercises for 0.5 hour on Monday, 0.5 hour on Wednesday, and 0.5 hour on Friday. There are 3 days where she exercises for 0.5 hour.

3 days X 0.5h = 1.5h each week

For four weeks, multiply the hours each week by 4.

1.5h X 4 weeks = 6h

Therefore Summer will exercise for 6 hours over the course of 4 weeks.

6 0

3 years ago

Read 2 more answers

A population of values has a normal distribution with μ = 202.1 and σ = 24 . You intend to draw a random sample of size n = 64 .

n200080 [17]

Answer: p= 0.0532

Step-by-step explanation: from the question

u= population mean = 202.1

σ= population standard deviation = 24

n = sample size = 64.

Since the sample size is greater than 30 and the population standard deviation is known, then the z score is the appropriate to get the probabilistic value.

Z = (x - u) /(σ/√n)

Where x = sample mean.

At x = 204.5, we have the z score as

Z = 204.5 - 202.1/ (24/√64)

Z = 2.4/ (24/8)

Z = 2.4/ 3

Z = 0.8

At x = 205.1, we have the z score as

Z = 205.1 - 202.1/ (24/√64)

Z = 3/ (24/8)

Z = 3/3

Z = 1.

Since the distribution is normal, we compute the probability value attached to the z score using the z table.

Graphical illustration as attachment in the answer.

Note the area under the z score is the probability value of the z score.

As we can see, the area to the left of the shaded area is a, the shaded area is b and the area to the right of the shaded area is c

We have that

a + b + c = 1

Note, the table I'm using only gives area to the left of the distribution.

Area a

To get area a, we use a z score table whose area is to the left of the distribution.

At 0.8, according to the table the area left of 0.8 is 0.78814.

Area c

Area c is right of the distribution and our table is left of the distribution, but 1 - area to the left = area to the right ( since area to left + area to right =1).

Hence area to the left of 1.0 = 0.84134

Area c = 1 - 0.84134 = 0.15866.

Thus, a = 0.78814, c = 0.15866

a + b + c = 1

0.78814 + b + 0.15866 = 1

0.9468 + b = 1

b = 1 - 0.9468

b = 0.0532.

Hence the probability of random variable between 204.5 & 205.1 is 0.0532

6 0

3 years ago