48x3 +128x2 − 75x − 200 factor

2. Mrs. Jones' science class is planting sunflowers in the school garden. Her class

Levart [38]

Answer:

1 sunflower

Step-by-step explanation:

Start at 15 then go to the left of the line graph. After count how many X there are which there is one.

6 0

2 years ago

Joseph has started completing the square on the equation 3x^2-7x+12=0. He has worked to the point where he has the expression x^

Dima020 [189]

Starting with 3x^2-7x+12=0, we divide all four terms by 3, resulting in the following factored form:

3(x^2-[7/3]x+4)=0.

Since 3 cannot equal 0, we can focus on the following:

x^2 - 7/4 x =-4

This completes the assignment (describe Joe's steps up to this point).

If you wish to go further:

Next, take HALF of the coefficient of x and square your result:

(-7/[4][2])^2 = 49/64

Add this to both sides of x^2 - 7/4 x =-4: x^2 - 7/4x + 49/64 =-4+49/64

Rewrite the left side as (x-7/8)^2 and the right side as 49/64 - 256/64

Simplify the right side by combining these terms: -207/64

Then x-7/8 = plus or minus (1/8)sqrt(-207)

Next, x = 7/8 plus or minus (1/8)*i*√207, or

7 plus or minus i*√207
x = ----------------------------------
8

4 0

3 years ago

Suppose you can get a higher interest rate on your savings if you maintain a balance of at least $1000 in your savings account.

maksim [4K]

1058+44.50 =1102.5
1102.5-1000=102.5
102.5 is your anwser

4 0

3 years ago

Read 2 more answers

10. Contacts. Assume that 30% of students at a university

jonny [76]

Using the normal distribution and the central limit theorem, we have that:

a) A normal model with mean 0.3 and standard deviation of 0.0458 should be used.

b) There is a 0.2327 = 23.27% probability that more than one third of this sample wear contacts.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$ , as long as $np \geq 10$ and $n(1 - p) \geq 10$ .

In this problem:

30% of students at a university wear contact lenses, hence p = 0.3.

We randomly pick 100 students, hence n = 100.

Item a:

$np = 100(0.3) = 30 \geq 10$

$n(1 - p) = 100(0.7) = 70 \geq 10$

Hence a normal model is appropriated.

The mean and the standard deviation are given as follows:

$\mu = p = 0.3$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.3(0.7)}{100}} = 0.0458$

Item b:

The probability is 1 subtracted by the p-value of Z when X = 1/3 = 0.3333, hence:

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

By the Central Limit Theorem

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

$Z = \frac{0.3333 - 0.3}{0.0458}$

$Z = 0.73$

$Z = 0.73$ has a p-value of 0.7673.

1 - 0.7673 = 0.2327.

0.2327 = 23.27% probability that more than one third of this sample wear contacts.

To learn more about the normal distribution and the central limit theorem, you can take a look at brainly.com/question/24663213

5 0

2 years ago

(5×10 exponent 8)/(2×10 exponent 6)

iogann1982 [59]

500,000,000 and 2,000,000

10 exponent 8 is 100000000 because it has 8 0s
multiply that by 5 to get 500,000,000

10 exponent 6 is 1000000 because it has 6 0s
multiply by 2 to get 2,000,000

3 0

3 years ago