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kati45 [8]
2 years ago
10

This recipe makes 6 pancakes. Sanjay follows the recipe but wants to make 30 pancakes. How much of each ingredient does he need?

Recipe: Makes 6 135 g flour 1 teaspoon (tsp) baking powder 2 tablespoons (tbsps) sugar 130 ml milk 1 egg 2 tablespoons (tbsps) oil
Mathematics
1 answer:
TEA [102]2 years ago
6 0

Answer:

30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)

flour: 135g*5=675g

baking powder: 1 tsp*5=5 teaspoons

sugar: 2 tbsps*5=10 tablespoons

milk: 130ml*5=650ml

eggs: 1 egg*5=5 eggs

oil: 2 tbsps*5=10 tablespoons

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A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.
Crank

Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean(\mu) = 500 and a standard deviation(\sigma) =  100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = \dfrac{Y-\mu}{\sigma}

Z-score = \dfrac{625-500}{100}

⇒ Z-score = \dfrac{125}{100}

⇒Z-score =1.25

Therefore , the required z-score = 1.25

6 0
3 years ago
A firm has the following fixed proportion production function q = min(k, 2l). a. Find the firms long-run total, average, and mar
Yuri [45]

Answer:

I think its right

Step-by-step explanation:

a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...

3 0
2 years ago
Which of the following is the complete factorization of the polynomial below?<br> 2x² +13x² +17x-12
Bezzdna [24]

a

jfjoydx9tdzrzfzixitxxytxixutx

3 0
2 years ago
A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship
Vsevolod [243]

Answer:

d = 2.5r and r = \frac{d}{2.5}

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

d\ \alpha\ r

Where d = daises and r = roses

Convert the above expression to an equation

d = kr

Make k the subject

k = \frac{d}{r}

When d = 5 and r = 2;

k = \frac{5}{2}

k = 2.5

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

d = 2.5 * r

d = 2.5r ----------- (1)

Make r the subject in (1)

r = \frac{d}{2.5} ------------------------(2)

Hence, the relationships between d and r are:

d = 2.5r and r = \frac{d}{2.5}

6 0
3 years ago
Suppose that your statistics professor tells you that the scores on a midterm exam were approximately
DedPeter [7]

Answer:

  • Yes

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

<u>Use the formula to find z-scores:</u>

  • z = (x - μ)/σ

<u>We have:</u>

  • z = 1.04, μ = 78, σ = 7

<u>Substitute the values and solve for x:</u>

  • 1.04 = (x - 78)/7
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  • x = 85.28

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A

5 0
3 years ago
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