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Yanka [14]
3 years ago
13

How to simplify 9m+4 (12-m)

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
5m+48 you will need to distribute 4 to the equation in the parenthesis first 9m+4(12-m) 9m+48-4m combine like terms 5m+48
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Newborn males have weights with a mean of 3272.8 g and a standard deviation of 660.2 g. Newborn females have weights with a mean
Maksim231197 [3]

The correct option is:   a female who weighs 1500 g

<em><u>Explanation</u></em>

<u>Formula for finding the z-score</u> is:  z= \frac{X-\mu}{\sigma}

Newborn males have weights with a mean(\mu) of 3272.8 g and a standard deviation(\sigma) of 660.2 g.

So, the z-score for the newborn male who weighs 1500 g will be.......

z(X=1500)=\frac{1500-3272.8}{660.2}=-2.685... \approx -2.69

According to the normal distribution table,  P(z=-2.69)=0.0036 = 0.36\%

Now, newborn females have weights with a mean(\mu) of 3037.1 g and a standard deviation(\sigma) of 706.3 g.


So, the z-score for the newborn female who weighs 1500 g will be.......

z(X=1500)=\frac{1500-3037.1}{706.3}=-2.176... \approx -2.18

According to the normal distribution table,  P(z=-2.18)=0.0146 = 1.46\%

As we can see that the <u>probability that a newborn female has weight of 1500 g is greater than newborn male</u>,  so a newborn female has the weight of 1500 g that is more extreme relative to the group from which he came.

5 0
3 years ago
The perimeter of a square picture frame is 24 in. Find the lengths of each side of the frame.
m_a_m_a [10]

Answer:

6 inches

Step-by-step explanation:

The perimeter formula for a square is P = 4*S

P =24

s = ?

24 = 4*S            Divide both sides by 4

24/4 = 4S/4      

S = 6

6 0
2 years ago
Given f(x) = 2x – 3, find the x value such that f(x) = 8.
jok3333 [9.3K]

Answer: 5.5

Step-by-step explanation:

Plugging it into the formula, we get

2x-3 = 8

Add 3 to both sides:

2x = 11

Divide by 2 on both sides:

x = 5.5

4 0
2 years ago
Read 2 more answers
Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440
Alborosie

Answer:

<h2>$400</h2>

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

<em>Hence the amount Mr Noel originally borrow is $400</em>

5 0
3 years ago
Which of the following would best represent a cosine function with an amplitude of 2, a period of pi over 3, and a midline at y
OleMash [197]
C. f(x) = – 2 cos 6x + 1

Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).

Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.

Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
3 0
3 years ago
Read 2 more answers
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