Juanita is 15 years old and her brother is 5. what is the ratio of juanitas age to her brother age.

Which point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)

Mademuasel [1]

Answer:

x = - 2 or x = 4

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

The x- intercepts are at x = - 2, x = 4

3 0

2 years ago

((please answerr, will mark brainliest!))

elixir [45]

The first Venn diagram would be the best because 18 students play baseball and one side has 13 13+5=18 and for basketball 12+5=17
Answerº the first Venn diagram.

7 0

2 years ago

Read 2 more answers

The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are 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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

$-1.475 = \frac{15.5 - \mu}{\sigma}$

$15.5 - \mu = -1.475\sigma$

$\mu = 15.5 + 1.475\sigma$

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

$1.28 = \frac{16.3 - \mu}{\sigma}$

$16.3 - \mu = 1.28\sigma$

$\mu = 16.3 – 1.28\sigma$

From above

$\mu = 15.5 + 1.475\sigma$

So

$15.5 + 1.475\sigma = 16.3 – 1.28\sigma$

$2.755\sigma = 0.8$

$\sigma = \frac{0.8}{2.755}$

$\sigma = 0.29$

The mean is

$\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93$

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0

2 years ago

The length of a rectangular garden is 2 feet more than twice it's width. If the area is 40 square feet, how much fencing would b

Westkost [7]

Answer:

w =4 ft and l =10 ft

Step-by-step explanation:

Let w = width

l = 2w+2

A = l*w

A = (2w+2)(w)

40 = (2w+2) w

Distribute

40 = 2w^2 +2w

Subtract 40

0 = 2w^2 +2w - 40

Dividing each side by 2

0 = w^2 +w -20

Factor

0 = (w+5) (w-4)

Using the zero product property

w+5 =0 w-4=0

w= -5 w=4

Since we cant have a negative length

w=4

l = 2w+2 = 2(4)+2 = 8+2 =10

7 0

3 years ago

The math club needs to raise more than $552. $.50 for a trip to state competition. The club has raise 12% of the funds which is

ratelena [41]

Each of the members must raise at least $69.46.

To start they need to raise $552.50. However, they have already raised 12% of it. They only need to raise 88% of it.

552.50 x 0.88 = 486.2

Divide the remaining amount by 7 to determine how much each individual must raise.

486.2 / 7 = 69.46

4 0

3 years ago