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3 years ago

PLEASE ANSWER ASAP!!!

Mathematics

1 answer:

julsineya [31]3 years ago

8 0

Answer:

The answer to your question is A) x = 1

Step-by-step explanation:

We know that f(x) = 2x + 3 and g(x) = -x + 6

But f(x) = g(x)

Then, 2x + 3 = - x + 6

2x + x = 6 - 3

3x = 3

x = 3/3

x = 1

The solution is circle in the graph below.

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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t

Thepotemich [5.8K]

Answer:

The probability that exactly 12 buyers would prefer green

=0.00555

Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

$P(X=x)=nC_r p^r q^{n-r}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^{14-12}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^2$

$P(x=12)=14C_{12}(0.50)^{14}$

$P(x=12)=\frac{14!}{12!2!}(0.50)^{14}$

$P(x=12)=\frac{14\times 13\times 12!}{12!2\times 1}(0.50)^{14}$

$P(x=12)=91\cdot (0.50)^{14}$

$P(x=12)=0.00555$

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

3 0

3 years ago

Write the slope intercept form of an equation for the line of fit for the points (1998, 13.60) and (2003, 19.00)

Mashutka [201]

Hope this helps l!!!

4 0

3 years ago

Please help me out and explain it to me

Grace [21]

Answer:

Answer is option d 14+18i

Step-by-step explanation:

$given \: expression \: is \\ (5 + 12i) - (9 {i}^{2} - 6i) \: \: \: where \: i = \sqrt{ - 1} \: \: \\ = 5 + 12i - 9 {i }^{2} + 6i \\ = 18i + 5 - 9( - 1) \\ 18i + 5 + 9 \\ = 18i + 14$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

3 years ago

The length of a rectangle is 9 cm longer than its width.Both the length and width are whole numbers .If the perimeter is at most

jeyben [28]

Answer:L= 45cm

W=35cm

Step-by-step explanation:

P = 2l + 2w

2(l+w)= 160

l+w = 80

From the question,

l = w+9

So w+9+w = 80

w = 71/2 = 35.5 = 35 since it must be a whole number

l = 80- 35= 45cm

5 0

3 years ago

2x - 24 Simplify completely 8 X - 24 4 O x-12. 4 O 2x - 3 Ox-3

Nostrana [21]

Answer:

$\frac{x - 12}{4}$

Step-by-step explanation:

Given

$\frac{2x - 24}{8}$

Required

Simplify completely

$\frac{2x - 24}{8}$

Expand

$\frac{2*x - 2*12}{2*4}$

Factorize the numerator

$\frac{2(x - 12)}{2*4}$

Divide the numerator and denominator by 2

$\frac{(x - 12)}{4}$

Remove brackets

$\frac{x - 12}{4}$

The expression has been completely simplified

8 0

3 years ago