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MAVERICK [17]
3 years ago
8

11. The probability that a dessert sold at a certain cafe contains chocolate is 75%. The probability that a dessert containing c

hocolate also contains nuts is 23%. Find the probability that a dessert chosen at random contains nuts given that it contains chocolate. Round to the nearest tenth of a percent.
Mathematics
1 answer:
raketka [301]3 years ago
6 0
probability that a dessert sold at a certain cafe contains chocolate is 86%.

The probability that a dessert containing chocolate also contains nuts is 30%.

Find the probability that a dessert chosen at random contains nuts given that it contains chocolate

P(nuts given chocolate) = .30/.86 = .349 or 34
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Write an equation of the line shown. Then use the equation to find the value of x when y=112
PtichkaEL [24]

Answer:

y = 8x + 16

x = 12

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format y = mx + b.

Where,

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

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

(0, 16) = (x_1, y_1)

(3, 40) = (x_2, y_2)

slope (m) = \frac{40 - 16}{3 - 0}

slope (m) = \frac{24}{3}

slope (m) = 8

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

y = mx + b

16 = 8(0) + b

16 = 0 + b

16 = b

b = 16

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

y = mx + b

y = 8x + 16

Let's use the equation to find x when y = 112.

y = 8x + 16

Substitute y = 112 in the equation

112 = 8x + 16

112 - 16 = 8x

96 = 8x

Divide both sides by 8

12 = x

x = 12

8 0
3 years ago
Problem that would represent
Oksi-84 [34.3K]

\\ \sf \longmapsto 1+6+(-8)

  • Downward motion noted as negative and upward is positive.
  • Lobby will be 1

\\ \sf \longmapsto 1+6+(-8)

\\ \sf \longmapsto 1+6-8

\\ \sf \longmapsto 7-8

\\ \sf \longmapsto -1

option c is correct

6 0
3 years ago
Read 2 more answers
Find the Perimeter of the<br> rectangle using the formula.<br> 4.2<br> 6.7<br> · Perimeter = 2L + 2W
Anon25 [30]

Answer:

21.8

Step-by-step explanation:

2(4.2)+2(6.7)=8.4+13.4=21.8

6 0
3 years ago
Graph the solution set to the system <br> Y&lt;15-0.41
Vlad [161]

Answer:

The graph in the attached figure

Step-by-step explanation:

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

Graph the solution set to the system

Y<(1/5)x-0.41

we have

y

The solution is the shaded area below the dashed line  y=\frac{1}{5}x-0.41

The slope of the dashed line is positive m=\frac{1}{5}

The y-intercept of the dashed line is (0,-0.41)

The x-intercept of the dashed line is (2.05,0)

To find out the solution set, draw the intercepts and connect them to plot the dashed line, and shade the area below the dashed line

The graph in the attached figure

8 0
3 years ago
One pile of cards contains the number 2 through 6 in red hearts. A second pile of cards contains the numbers 4 through 8 in blac
nordsb [41]

Answer:

19/25.

Step-by-step explanation:

The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.

Possible ways to get sum of 12 or more =

4,8   5,7   5,8   6,6   6,7  6,8  =  6 ways.

So the number of ways to get sum of < 12 = 25 - 6 = 19.

So the required probability = 19/25.

7 0
3 years ago
Read 2 more answers
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