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notka56 [123]
2 years ago
14

Given, y = x2 – 6x + 8, algebraically determine the axis of symmetry.

Mathematics
1 answer:
Nitella [24]2 years ago
8 0

Answer: 3

Step-by-step explanation:

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A theater seats 1,000 people. When Jeremy arrives there are 673 empty seats Jeremy is followed by a group of 145 people.how many
kozerog [31]
There will be 181 seat left once Jeremy and the group seat down
7 0
2 years ago
Read 2 more answers
A normal population has a mean of 19 and a standard deviation of 5.
dangina [55]

Answer:

a) Z = 1.2

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

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}

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. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so \mu = 19, \sigma = 5.

(a) Compute the z value associated with 25

This is Z when X = 25

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

Z = \frac{25 - 19}{5}

Z = 1.2

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when X = 25 subtracted by the pvalue of Z when X = 19.

X = 25 has Z = 1.2, that has a pvalue of 0.8849.

X = 19 has Z = 0, that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when X = 17

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

Z = \frac{17 - 19}{5}

Z = -0.40

Z = -0.40 has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0
3 years ago
A number is between -2 and -10. What is the least possible integer value of this number
astraxan [27]
-9, it is between -2 and -10 and it is the least possible integer
6 0
3 years ago
One number is eight less than three times another number. If the sum of the numbers is 20, find the numbers.
mamaluj [8]

Answer:

7 & 13

Step-by-step explanation:

Let the first number be x

2nd number = 8 less than 3 times the other

2nd number = 3x - 8

Their sum = 20

X + 3x - 8 = 20

4x -8 = 20

Collect like terms

4x = 20+8

4x = 28

Divide both sides by 4

4x/4 = 28/4

X = 7

First number = 7

2nd number = 3x - 8

= 3(7) - 8

= 21 -8

= 13.

Therefore the numbers are 7 and 13

Pls mark as brainliest

4 0
3 years ago
Help for question 1 and 2​
AnnyKZ [126]

Answer:

<em>(1). </em>5^{4}<em> × </em>13^{7}<em> ; (2). 3 - 5x</em>

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( 13^{-2} · 13^{9} ) = (-5)^{3+1} × (13)^{-2+9} = (-5)^{4} × 13^{7} = 5^{4} × 13^{7}

2). - 25x² ÷ 5x + 15x ÷ 5x = <em>3 - 5x</em>

4 0
2 years ago
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