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chubhunter [2.5K]

2 years ago

11

According to the manufacturer, about 26% of sour candy in a package of Sandy's Sours are grape. What is the probability that the

first grape candy chosen from the bag will be, at least, the third candy chosen overall?
A) 0.4524
B) 0.5476
C)0.1424
D)0.8576
E)0.4052

1 answer:

maria [59]2 years ago

3 0

D is the correct answer

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This line plot shows something about trails in a state park. What is true about the data in this line plot?

Zepler [3.9K]

Answer:

The total length of the Dogwood Trail is 24 kilometers

The difference between the lengths of the trails is 6 kilometers

Step-by-step explanation:

<u><em>The complete and correct question is</em></u>

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.

2.The total length of the Dogwood Trail is 24 kilometers.

3.The Elm Trail is longer than the Dogwood Trail.

4.The difference between the lengths of the trails is 2 kilometers.

5.The difference between the lengths of the trails is 6 kilometers.

<u><em>The picture in the attached figure</em></u>

step 1

Find the value of a

Applying the Pythagorean Theorem in the right triangle ABC

$13^2=a^2+5^2\\a^2=169-25\\a^2=144\\a=12\ km$

step 2

Find the value of b

Applying the Pythagorean Theorem in the right triangle CDE

$5^2=b^2+3^2\\b^2=25-9\\b^2=16\\b=4\ km$

step 3

Find the total length of the Dogwood Trail (solid blue line)

The total length is equal to

$AD=AB+BC+CE+ED$ ---> by segment addition postulate

substitute the given values

$AD=a+5+b+3=(a+b+8)\ km$

substitute the value of a and b

$AD=(12+4+8)=24\ km$

step 4

Find the total length of the Elm Trail (dashed red line)

The total length is equal to

$AD=AC+CD$ ---> by segment addition postulate

substitute the given values

$AD=13+5=18\ km$

<u><em>Verify the following statements</em></u>

Part 1) The total length of the Dogwood Trail is 16 kilometers

The statement is false

Because

The total length of the Dogwood Trail is 24 kilometers (see the explanation)

Part 2) The total length of the Dogwood Trail is 24 kilometers

The statement is true (see the explanation)

Part 3) The Elm Trail is longer than the Dogwood Trail

The statement is false

Because

The Elm Trail is smaller than the Dogwood Trail

$18\ km < 24\ km$

Part 4) The difference between the lengths of the trails is 2 kilometers

The statement is false

Because

The difference is equal to

$24-18=6\ km$

Part 5) The difference between the lengths of the trails is 6 kilometers

The statement is true

Because

The difference is equal to

$24-18=6\ km$

4 0

2 years ago

Read 2 more answers

A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours

Sliva [168]

$\frac{5.4}{9} = \frac{25.8}{x}$ Cross multiply.

5.4x=9*25.8

5.4x=232.2 Divide both sides by 5.4

x=43

4 0

2 years ago

Read 2 more answers

To avoid collisions with invasive species of aliens, new imperial regulations allow only positive integer space jumps parallel t

Sunny_sXe [5.5K]

Answer:24,942,060

Step-by-step explanation:

(10,10,4) - (3,2,0) = 7,8,4

7+8+4=19

19!/(7!*8!*4!)= 24'942'060

7 0

1 year ago

A cylindrical rainwater tank is 1.5 m tall with a diameter of 1.4 m. What is the maximum volume of rainwater it can hold??

Ket [755]

To work out the volume of a prism, you multiply the area of cross-section by the height (or length).

So for a cylinder, you work out the area of the circle and then multiply it by the height.

Area of circle (or cross-section) = π × radius²

= π × 0.7²

= 0.49π m²

Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:

Volume = 0.49π × 1.5

= 2.3 m³ (accurate to 2 decimal places)

---------------------------------------------------------------

Answer:

The maximum volume of rainwater the cylinder can hold is:

<u> </u><u>2.3 </u><u>m³</u>

7 0

2 years ago

Two rectangular properties share a common side. Lot A is 33 feet wide and 42 feet long.

s344n2d4d5 [400]

Answer:

The width of lot B is 11 feet, so option A is correct.

Step-by-step explanation:

Given:

Two rectangular properties share a common side.

Lot A is 33 feet wide and 42 feet long.

The combined area of the lots = 1,848 square feet.

To find:

How many feet wide is Lot B?

Solution:

we know that, area of a rectangle is length x breadth

Then area of lot A = 33 x 42 = 1386 square feet.

And area of lot B = width x 42

Now, we are given that, total area = 1848

area of lot A + area of lot B = 1848

1386 + width x 42 = 1848

width x 42 = 1848 – 1386

width x 42 = 462

$width =\frac{42}{462}$

width = 11

Hence, the width of lot B is 11 feet, so option A is correct.

7 0

2 years ago