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Natasha_Volkova [10]
3 years ago
12

Becky made 4 quarts of chicken noodle soup in a big pot, then served 1 1/2-cup bowls of soup to 6 people. How much soup is left

in the pot? (1 qt = 4 c)
Mathematics
2 answers:
bogdanovich [222]3 years ago
5 0

Answer:

There are 7 cups of soup left in the pot

Step-by-step explanation:

Firstly, we need to know the number of cups of soup made.

Since 1 quarts = 4 cups, the number of cups her 4 quarts is would be 4 * 4 = 16 cups

Now she served 1.5( 1 1/2 = 1.5) to 6 people, her total servings is thus 6 * 1.5 = 9 cups

What is remaining is thus 16 cups - 9 cups = 7 cups

Natali [406]3 years ago
3 0

Answer:

1qt and 3c

Step-by-step explanation:

First you need to how many cups of soup there are 4 quarts= 16 cups, the how many cups were given, 9 cups, the subtract 16 - 9, which equals to 7 cups= 1qt and 3c.

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What are the slope (m) and y-intercept (b) of the given line? *
konstantin123 [22]
The y-intercept is (0,7) and the slope is - 0.8
3 0
3 years ago
Answer I’ll give u brain thingy
Zanzabum

Answer:

It means that for every 1 unit of time, the equation shows an increase of 8.38 units of distance.

Step-by-step explanation:

Slope is \frac{rise}{run}. Any number that does not have a denominator technically has a denominator of 1. Therefore, your slope is actually \frac{8.38}{1}. That means you have a rise, or the vertical progression, of 8.38 while your run, or your horizontal progression, is 1. For every unit your line travels horizontally, it travels 8.38 units vertically. I hope this makes sense.

5 0
3 years ago
ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on cons
PolarNik [594]

Answer:

(\frac{4\sigma}{2.056})^2, rounded up, if needed, citizens should be included in the sample, in which \sigma is the standard deviation of the population.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.056.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Within 4 years of the actual mean

We have to find n for which M = 4. So

M = z\frac{\sigma}{\sqrt{n}}

4 = 2.056\frac{\sigma}{\sqrt{n}}

2.056\sqrt{n} = 4\sigma

\sqrt{n} = \frac{4\sigma}{2.056}

(\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2

n = (\frac{4\sigma}{2.056})^2

(\frac{4\sigma}{2.056})^2, rounded up, if needed, citizens should be included in the sample, in which \sigma is the standard deviation of the population.

8 0
3 years ago
The probability of an event is P(A) = 0.05 What is the complement of P(A)?
kirill115 [55]

Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95

<h3>What is probability?</h3>

Probability is the likelihood or chance that an event will occur. Mathematically:

Probability = expected outcome/total outcome

Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:

P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95

Hence the complement of the probability will be 0.95

Learn more on probability here: brainly.com/question/24756209

8 0
2 years ago
Hi i have no idea does anyone have an idea ? please
ivann1987 [24]

Answer:

y = 2(x+5)²- 60

Step-by-step explanation:

f(x) = ax² +bx +c,  is the standard form

f(x) = a(x - h)² +k , is the vertex form where the (h, k) is the vertex

y = 2x²+20x -10 ,

factor 2 from the two terms

y = 2(x² +10x) -10,

what perfect square has x² +10x? ... x²+10x +25 = (x+5)²

y = 2(x²+10x+25 )- 50 -10,

add 25 in parenthesis to get a perfect square yet subtract 2*25 = 50 so the equation will stay the same

y = 2(x+5)²- 60,

the equation has the vertex at (-5, -60)

3 0
2 years ago
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