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Mila [183]
3 years ago
8

There are 100 cookies and 80 brownies on a dessert table at a restaurant. Of these desserts, 12 cookies and 24 brownies contain

nuts. What percentage of these desserts contain nuts?
Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

20%

Step-by-step explanation:

Total number of desserts: 100 + 80 = 180

Number of desserts that contain nuts: 12 + 24 = 36

What percentage is 36 of 180?

To find what percentage a part is of the whole, divide the part by the whole and multiply by 100%.

percent = 36/180 * 100% = 0.2 * 100% = 20%

Answer: 20%

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How many solutions does the equation 6a - 3a - 6 = 2 + 3 have?
Softa [21]

Answer:

One, a=11/3.

Step-by-step explanation:

6a-3a-6=2+3

3a-6=5

3a=5+6

3a=11

a=11/3

5 0
3 years ago
Mario purchased a computer with a screen that measures 16.0 inches diagonally. The length of the screen is 11 inches. What is th
Vesnalui [34]

Answer:

11.61 in

Step-by-step explanation:

the screen when divided diagonally, forms 2 right triangles

diagonal = hypotenuse = 16

16^2 = 11^2 + w^2

w^2 = 135

w = 11.61

3 0
3 years ago
Read 2 more answers
Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. A) (2, 2) B) (4, 1) C) (–6, 6) D) (4
Yuri [45]

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete we need point P and point Q.

let us assume P is at (3,1) and Q is at (-2,4)

To find the coordinate of the point that divides a line segment PQ with point P at (x_1,y_1) and point Q at (x_2,y_2) in the proportion a:b, we use the formula:

x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1

line segment PQ  is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1

4 0
4 years ago
23.0833333333 in fraction form
Black_prince [1.1K]

Answer:

230833333333/10000000000

Step-by-step explanation:

Well to write this as a fraction you will first write 23.0833333333 as our numerator

Now you would multiply numerator by denominator which you could put 1 as denominator and multiply by 10 and you get your whole number/your answer.

Hope this helps have a great day:)

4 0
2 years ago
For X a binomial random variable with n=5 and p=1/4, answer the following
mash [69]
Recall that for X\sim\mathrm{Bin}(n,p), i.e. a random variable X following a binomial distribution over n trials and with probability parameter p,

\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}

So you have

\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26

\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)
=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}
=\dfrac{375}{1024}\approx0.37

The expected value of X\sim\mathrm{Bin}(n,p) is simply np, while the standard deviation is \sqrt{np(1-p)}. In this case, they are \dfrac54=1.25 and \sqrt{\dfrac{15}{16}}\approx0.97, respectively.
7 0
3 years ago
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