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3 years ago

15

If 3/4 of a cup of yogurt is 80 calories, how many calories are in 1/4 of a cup?

1 answer:

Lady bird [3.3K]3 years ago

7 0

Answer:

$\boxed{\textsf {One fourth cup of yogurt has 26.66 calories. }}$

Step-by-step explanation:

Given that ¾ of a cup of yogurt is 80 calories and we need to find the calories in ¼ of a cup . So here we can use unitary method to find the calories.

=> ¾ cup of yogurt has 80 calories

=> 1 cup of yogurt has 80 ÷ ¾ calories .

=> ¼ cup of yogurt has 80 × 4/3 × 1/4 calories = 26.66 calories .

<h3><u>★</u><u> </u><u>Hence </u><u>¼</u><u> </u><u>of </u><u>yogurt</u><u> has</u><u> </u><u>2</u><u>6</u><u>.</u><u>6</u><u>6</u><u> </u><u>calories</u><u>.</u></h3>

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In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large

Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The probability distribution is:</em>

<em>x P(x) </em>

<em> 0 0.30 </em>

<em>1 0.40 </em>

<em>2 0.20 </em>

<em>3 0.06 </em>

<em>4 0.04</em>

The mean can be calculated as:

$M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14$

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

$s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04$

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3 years ago

The combined weight of the people in the elevator is 49% of the 3,025 pound capacity. Which would be The best way to estimate th

qaws [65]

Answer:

Around 1,500 pounds

Step-by-step explanation:

Because you said "estimate," I will be estimating this.

49% rounds up to 50%

3,025 rounds down to 3,000

50% of 3,000 is 1,500 pounds.

8 0

3 years ago

Topics in math question

Monica [59]

Answer:24

Step-by-step explanation:

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3 years ago

40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

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3 years ago

Name one addition piece of information that is sufficient to prove that the triangles are similar. Please explain!

Sophie [7]

Answer:

the given triangles are right triangles which is enough to prove them 'similar'

but not congruent.

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3 years ago