5. Find the probability that a randomly chosen point in the figure lies in
the shaded region.

5. Find The Probability That A Randomly Chosen Point In The Figure Lies Inthe Shaded Region.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

area of shaded region=1/2×8×8=32 sq. units

area of larger triangle=1/2×14×16=112 sq units

reqd. probability=32/112=2/7


Related Questions

In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.

Which equation can be used to find the nth term of the sequence, an?

an = 10 * 2n-1
an = 2n-1
an = 1/5 * 10n-1
an = 2 * 18n-1

Answers

Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

Answer:

C.)  an =1/5 * 10n-1

Step-by-step explanation:

D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.

Leaveing your answer...

There are twenty classes at each of two middle schools. The number of students in each class at each school is shown in the dot plots below.

Number of Students in Each Class at Poplar Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.

Number of Students in Each Class at Oak Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.

Which statement correctly compares the mean number of students for the data in the plots?
There are about 2 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
There are about 5 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 5 more students in each class at Oak Middle School than at Poplar Middle School.

Answers

The dot plot is missing, so i have attached it.

Answer:

B: there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Step-by-step explanation:

From the dot plot attached, we can find the average number of students per class for each school.

For Poplar Middle School;

Total number of students = (20 × 3) + (21 × 5) + (22 × 7) + (23 × 4) + (24 × 1) = 435 students.

There are 20 classes.

Thus;

average number of students per class = 435/20 = 21.75

For Oak Middle School;

Total number of students = (20 × 1) + (21 × 2) + (22 × 2) + (23 × 4) + (24 × 3) + (25 × 2) + (26 × 2) + (27 × 2) + (28 × 1) + (29 × 1) = 483

Average number of students per class ; 483/20 = 24.15

Difference in average = 24.15 - 21.75 = 2.40

This implies that there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Answer:

da answer is B lesss goooo

Step-by-step explanation:

What is the total surface area of the rectangular pyramid below?

Answers

Answer:

c. SA = 596 ft²

Step-by-step explanation:

Area of the rectangular pyramid = Base area + area of the 2 equal lateral faces + area of the 2 lateral faces

Base area = length × width

Length = 16 ft

Width = 12 ft

Base area = 16 × 12 = 192 ft²

Area of the 2 lateral faces with the following dimension:

base = 12 ft

height = 15 ft

Area = 2(½bh) = 2(½*12*15) = 180 ft²

Area of the 2 lateral faces with the following dimensions:

base = 16 ft

height = 14 ft

Area = 2(½*14*16) = 224 ft²

✅Total surface area = 192 + 180 + 224 = 596 ft²

PLS HELP URGENT

In triangle PQR.
Sis the point on PR such that angle RSQ = 90°
RQ = 14 cm
RS -- 10 cm
SP - 5 cm
Work out the length of PQ.

Answers

PQ=11

PS^2+SR^2=QR^2

PS^2+PS^2=PQ^2

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...

  Cos = Adjacent/Hypotenuse

  cos(R) = 10/14 = 5/7

__

The law of cosines gives us the relation ...

  PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)

  PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121

  PQ = √121 = 11

The length of PQ is 11 cm.

_____

Alternate solution

This can be solved using the Pythagorean theorem twice.

  QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96

  PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121

  PQ = √121 = 11

pls answer this.

don't answer 1&2. just answer 3-10 thanks in advance!​

Answers

Answer:

3. m<4=101°

4. sum of angle on a straight line

5. m<8= 101°

6.m<3=180-101°

=79°

7.sum =180°

8. alternate angles

9. and m<8

10. 180°

Answer:

3.

m<1=79°

m<4=180-79°=101°(linear pair)

4.

<7+<8=180°(straight line)

5.

m<6=101

m<8=101°[vertically opposite angle]

6.

m<3=180-101=79°

7.

180°

8.

alternate angle

9.

and <8

10.

180°

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 7% vinegar. The chef wants to make 310 milliliters of a mixture that contains 19% vinegar. How much vinegar and how much Italian dressing should she use?

Answers

Answer:

Amount of  vinegar. 100% : 20 milliliters

Amount of  Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of  vinegar. 100%

Let's call B the amount of  Italian dressing . 12% vinegar

The resulting mixture should have 23%  vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:  We substitute the value of B into one of the two equations and solve for A.

How much will you pay for an item that is $28.55 on sale for 60% off?
$17.13
$11.42
$17.00
$11.50

Answers

Answer: That would be $11.42

Step-by-step explanation: Hope this helped!! :)

Answer: $11.42

Step by step explanation:

1. A cardboard box is 5 feet long, 1.5 feet
wide, and 2 feet high. Which of the
following answers is closest to the
volume of the box in cubic feet?
A. 8.5 ft.3
B. 15 ft.3
C. 18 ft.3
D. 24 ft.3

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

V=whl=1.5·2·5=15

Answer:

B. 15 ft.3

Step-by-step explanation:

multiply all the measurements to find the volume :)

-5-4-3
3
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)

Answers

Answer:

[tex]Interval = (-2,1.5)[/tex]

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Increasing interval

To do this, we simply identify the interval at which the value of the graph increases.

The value has an increased interval between -2 and 1.5 (of the x-axis).

Hence, the increasing interval is:

[tex]Interval = (-2,1.5)[/tex]

Solving (b): Decreasing interval

To do this, we simply identify the interval at which the value of the graph decreases.

The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).

Hence, the decreasing interval is:

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

Find the value of 1
and 1/10-1/5

Answers

9514 1404 393

Answer:

  9/10

Step-by-step explanation:

(1 1/10) - 1/5 = (1 1/10) -2/10 = 1 + (1/10 -2/10) = 1 -1/10 = 9/10

__

1.1 -0.2 = 0.9 = 9/10

54,872 in expanded form

Answers

Answer:

54,000+800+70+2

Step-by-step explanation:

Answer:

Here is an answer

54,000+800+70+2

Use the distributive property to create an equivalent expression to 6(3j + 4 +j)

Answers

Answer:

24j + 24

Step-by-step explanation:

6(3j + 4 +j)

6(4j + 4)

24j + 24

it taken 12 days for 10 men assemble a machine how long could it take for 15 men to assemble the machine?​

Answers

It will take 17 men to assemble a machine

does -(-(-e) = -e?


qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

Answers

Answer:

wth is this

show the pic of the question

Find the perimeter of the figure. Round your answer to the nearest hundredth.
12 m
15 m
12 m
21 m

Answers

Answer:

68.56 m

Step-by-step explanation:

circumference of semi-circle:  15π/2 = 23.56

23.56 + 12 + 12 + 21 = 68.56

 

Given sin r = 0.5, what is cos r?
enter your answer as a decimal, rounded to the nearest hundredth.

Answers

Answer:

0.877 but rounded it will be 0.88

Could you guys help me?

Answers

Answer:

its 1881

Step-by-step explanation:

banakz akaknsz a a

It’s 1881 :) hope it helps

Which angles are supplementary to each other?

Answers

i think it is 10&3
explanation:

If xy + y² = 6, then the value of dy/dx at x= -1 is

Answers

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

40% of the class of 30 students are boys.
How many are girls?

Answers

Answer:

60% are girls

60% of 40=6*40=24

Step-by-step explanation: Hope this help :D

What is the sum? Keep your answer in scientific notation.
3 x 10^6 and 3 x 10^6

Answers

Answer:

9 x 10^12

Step-by-step explanation:

for multiplying scientific notation, you multiply the numbers (3 x 3) and add the exponents together (6 + 6) to get 9 x 10^12

Help! I am being timed. Thank you

Answers

Answer:

C

Step-by-step explanation:

How many times greater is the value of the 7 in 171,889 than the value of the 7 in 117,889. Please help me!

Answers

i believe it is 10x greater

Measure of angle R =49 find the measure of angle O

Answers

Answer:

angle O is equal to 41°

I hope it's helps you

8 x 10 to the 5th power is how many time as great as 8 x 10 to the - 1 power

Answers

Answer:

B

Step-by-step explanation:

The graph shows the function?

Answers

3/22 hope that helps have a good one

Answer:

The graph shows the function

✔ y = sin(x) – 6

.

The function rule y = cos(x) + 2 describes graph

✔ b shown here.

What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1​

Answers

Answer:

Step-by-step explanation:

hello :

use identity : a²-b²=(a-b)(a+b)

(2x+1) (2x-1)= (2x)²-1 =4x²-1

What is the product of the expressions (3)(−2)(−5)(7)?

Answers

Here is the answer !!!!!!

Answer:

210

Step-by-step explanation:

3*10*7

30*7

210

Remember when multiplying even number of negative terms, it cancels out the negative.

In AABC, AB, AC, and BC are called
A sides
B. interior angles
C. vertices
D. exterior angles​

Answers

Answer:

sides.

Step-by-step explanation:

6 (n-3) - 2n = 10
Pleasee help

Answers

Answer: n = 7

(this website may help: https://www.symbolab.com/)

Step-by-step explanation:

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