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elena-s [515]
3 years ago
15

Create a unique parabola in the pattern f(x) = (x − a)(x − b)

Mathematics
1 answer:
MissTica3 years ago
5 0

Answer:

f(x)=(x-6)(x-(-7))

Step-by-step explanation:

Foiled:

0 = x + x - 42

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Karen has 1/2 cup of sugar. She is baking cookies and needs 1 1/3 cups for a recipe. How much more sugar does she need If she wa
Evgen [1.6K]

Answer:

3 1/2 cups

Step-by-step explanation:

Let's start by figuring out how much sugar Karen needs in total.

She needs (1+1/3) cups for her original recipe. To triple that, we need (1+1/3) 3 times. We can calculate this by multiplying it by 3.

(1+1/3) * 3 = 3 + 1 = 4

Karen needs 4 cups in total. She has 1/2 cup. The difference is how much more she needs. Therefore, she needs 4 - 1/2 = 3 1/2 cups

3 0
3 years ago
Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
Please see the photo. It's not 4 or 6.
Verdich [7]

Answer:

x = 9

Step-by-step explanation:

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

5(x - 6 + 5) = 4(x - 3 + 4)

5(x - 1) = 4(x + 1) ← distribute parenthesis on both sides

5x - 5 = 4x + 4 ( subtract 4x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

4 0
3 years ago
Read 2 more answers
8a^3 b^8+4ab^5-16ab^8= <br> need help plz! (factor completely)
lakkis [162]
We can factor out the 4 to get
4(2a^3b^8+ab-4ab^8)
we can also factor out the ab
4ab(2a^2b^7+1-4b^7)
that is factored completely
6 0
3 years ago
Estimate the quotient using compatible numbers.
Paul [167]
I'm gonna say 400 because

2,316/6=386 which is closest to 400
3 0
3 years ago
Read 2 more answers
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