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3 years ago

Jean needs 1 third cup of walnuts for each serving of salad she makes she has 2 cups of walnuts how many serving can she make

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

In 1/3 cup of walnuts, she makes 1 serving of salad

Therefore, In 1 cup of walnuts, she makes 3 servings of sald.

And hence in 2 cups of walnuts, she makes 2*3 = 6 serving of salad.

So the answer of the given question is , if she has 2 cups of walnus, then she makes 6 serving of salad .

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Let x ∼ bin(9, 0.4). find

Kobotan [32]

A.
$\mathbb P(X>6)=\mathbb P(X=7)+\mathbb P(X=8)+\mathbb P(X=9)$
$=\dbinom97(0.4)^7(1-0.4)^{9-7}+\dbinom98(0.4)^8(1-0.4)^{9-8}+\dbinom99(0.4)^9(1-0.4)^{9-9}$
$\approx0.025$

b.
$\mathbb P(X\ge2)=1-\mathbb P(X$
$=1-\dbinom90(0.4)^0(1-0.4)^{9-0}-\dbinom91(0.4)^1(1-0.4)^{9-1}$
$\approx0.929$

c.
$\mathbb P(2\le X$
$=\dbinom92(0.4)^2(1-0.4)^{9-2}+\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}$
$\approx0.663$

d.
$\mathbb P(2$
$=\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}+\dbinom95(0.4)^5(1-0.4)^{9-5}$
$\approx0.669$

e.
$\mathbb P(X=0)=\dbinom90(0.4)^0(1-0.4)^{9-0}\approx0.01$

f.
$\mathbb P(X=7)=\dbinom97(0.4)^7(1-0.4)^{9-7}\approx0.021$

g, h.
For $X\sim\mathcal B(n,p)$ , recall that $\mathbb 
E[X]=\mu_X=np$ and $\mathbb V[X]={\sigma_X}^2=np(1-p)$ . So

$\mu_X=9(0.4)=3.6$
${\sigma_X}^2=9(0.4)(0.6)=2.16$

6 0

3 years ago

Paul's car is 16 feet long. He is making a model of his car that is the actual size. What is the length of the model?

Alexandra [31]

Answer:

16 feet

The length and the feet long are the same thing in this situation.

6 0

3 years ago

Read 2 more answers

In a greenhouse, basil is grown in planters that have a base of 4 1 4 in by 1 2 3 in. If there is a 4 × 4 array of these planter

Kryger [21]

Answer:

The area covered by the planters is 113.6 square inches.

Step-by-step explanation:

Assuming that the dimmensions of the greenhouse are 4 1/4 by 1 2/3 inches. We first need to convert them from mixed fractions to normal fractions, we do that by summing the integer part to the fraction one. We have:

length = 4 + 1/4 = 16/4 + 1/4 = 17/4 inches

width = 1 + 2/3 = 3/3 + 2/3 = 5/3 inches

The area of the greenhouse is given by:

area = length*width

area = (17/4)*(5/3) = 85/12 = 7.1 square inches

Since there is an array of 4x4 there is a total of 16 greenhouses and it's total area is 16*7.1 = 113.6 square inches

8 0

3 years ago

For their homecoming parade, the students of U-Math have created a colorful banner, 57 meters in length, that is made of two

BartSMP [9]

Answer:

$Length\ of\ the\ long\ piece=40\ meters\\\\Length\ of\ the\ short\ piece=17\ meters$

Step-by-step explanation:

Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.

Set up a system of equations:

$\left \{ {{s+l=57} \atop {s=l-23}} \right.$

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

$(l-23)+l=57\\\\2l=80\\\\l=\frac{80}{2}\\\\l=40$

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

$s=40-23\\\\s=17$

6 0

3 years ago

An office manager estimates that she spends 40% of her 30-minute lunch

Elina [12.6K]

Answer:

answer = 12 min

Step-by-step explanation:

40% of 30 min = ?

10% of 30 min = 3

3*4 = 12

Thus, she spends 12 min of her 30 min lunch driving

P.S.

If the answer is wrong, then multiply it by two and retry

4 0

3 years ago