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Mnenie [13.5K]
3 years ago
11

Question 6. Which expression is equivalent to this expression? x(2x + 3)

Mathematics
2 answers:
suter [353]3 years ago
5 0

Answer:

The answer is D

You have to distribute the x to the 2x + 3 equation

This will result in 2x^2 + 3x

raketka [301]3 years ago
4 0
D - 2x^2 + 3x have a blessed day!
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In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
What is a factor of 20x2 + 40x +15<br>a.) 4x + 1<br>b.) 4x + 3<br>c.) 2x + 3<br>d.) x + 2
I am Lyosha [343]

the factors are 5(2x+1)(2x+3)

5 0
3 years ago
the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow p
tino4ka555 [31]

Answer:

40%

Step-by-step explanation:

3 + 2 = 5

Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%

Hope this helped!

4 0
3 years ago
Please help me. i want to have this finished.
Anuta_ua [19.1K]
We know that y is equal to x-2. We can just substitute x-2 for y since y is equal to it. 

10x- 9(x-2)=24

Distribute.

10x- 9x+18= 24

x+18= 24

Subtract 18 on both sides.

x= 6

Now, plug in x.

y= (6)-2

y= 4

We can check this to see if this works:

4= 6-2, 4=4 

10(6)- 9(4)= 24

60-36= 24, 24=24

x=6 and y=4

I hope this helps!
<em>~kaikers</em>
5 0
3 years ago
Need help to solve please??<br> Need to proof
inysia [295]

Answer:

Step-by-step explanation:

#   Statement   Reasoning

1). KJ║ML    Given

2). ∠KLM ≅ ∠LKJ   Alternate interior angles

3). KL ≅ LK  Reflexive property

4). ΔKJL ≅ ΔLMK  SAS congruence postulate

8 0
2 years ago
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