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3 years ago

11

Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don

uts 11 powdered sugar donuts 5 What is the experimental probability that the next donut Wendy eats will be a powdered sugar donut? Write your answer as a fraction or whole number. P(powdered sugar donut) =

1 answer:

coldgirl [10]3 years ago

3 0

Answer:

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53

Glazed donuts = 11

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

$P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}$

$P(\text{Powdered sugar donut})=\dfrac{5}{75}$

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$

Therefore, $P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

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CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u> $x.$ <u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

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3 years ago

HURRYYYYY PLEASEEEEE<br><br> Find the area of the circle. Use 3.14 for p.

scZoUnD [109]

Answer: B

Step-by-step explanation:

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3 years ago

Given b(x) = [X+41, what is b(-10)?<br> – 10<br> -6<br> 6<br> 14

OLEGan [10]

Option C: 6 is the value of $b(-10)$

Explanation:

The given expression is $b(x)=|x+4|$

We need to determine the value of $b(-10)$

To find the value of $b(-10)$ , let us substitute $x=-10$ in the given expression.

Thus, substituting $x=-10$ in the expression, we have,

$b(-10)=|-10+4|$

Adding the terms, we get,

$b(-10)=|-6|$

Since, we know the absolute rule that $|-a|=a$ and the simplified expression is of the form $|-a|$ , let us apply the absolute rule in the simplified expression.

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Thus, the value of $b(-10)$ is 6.

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3 years ago

Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each

kiruha [24]

Laura received 144 orders over the first year

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

f(n) = 2n - 1

Where, "n" is the month

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f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

<em><u>Thus total orders received over first year:</u></em>

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

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2 years ago

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bulgar [2K]

Answer:

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area of circle = πr^2

= π × 6^2

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36/4

= 9

36 - 9

= 27π units squared

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2 years ago