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Minchanka [31]
1 year ago
9

Multiply (x + 2)(3x² - 4x + 5).

Mathematics
1 answer:
ziro4ka [17]1 year ago
6 0

Answer:

a. 3x^3 + 2x^2 - 3x +10

Step-by-step explanation:

(x+2)(3x^2-4x+5)

x(3x^2-4x+5) +2(3x^2-4x+5)

3x^3-4x^2+5x+6x^2-8x+10

3x^3-4^2+6x^2+5x-8x+10

3x^3+2x^2-3x+10

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In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the
mote1985 [20]
<h2>Answer with explanation:</h2>

Given : In a restaurant, the proportion of people who order coffee with their dinner is p.

Sample size : n= 144

x= 120

\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-

Null hypothesis : H_0: p\geq0.85   [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : H_1: p  [its exactly opposite of null hypothesis]

∵Alternative hypothesis is left tailed, so the test is a left tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-0.56

Using z-vale table ,

Critical value for 0.05 significance ( left-tailed test)=-1.645

Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.

Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.

8 0
2 years ago
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla
stiks02 [169]
2*3=6 children Mrs Gomez has

6-2= 4 girls she has

pink carnations/ blue carnations= 4/2=2
⇒ numbers of pink carnations= 2* blue carnations

⇒ 12 pink  carnations and 6 blue carnations

5 0
3 years ago
Read 2 more answers
Last one ifr today ty !
timama [110]

Answer:

The answer is D. -3, 6, 11

Step-by-step explanation:

A coefficient is a number used to multiply a variable.

Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Example: x is really 1x.

4 0
3 years ago
A half-dollar coin issued by the United States Mint measures 30.61 millimeters across. Nick has 9 half dollars. He lines them up
Paraphin [41]

Answer:

Step-by-step explanation:

137,745 mm

Becouse the diamter of the Half dollar is 2 double Than a raggio becoise u must moltiplicate it for Hal of the moneu u have... 4.5 x 30.61

6 0
2 years ago
The value of a bank account, y, increases by 5% each year, x. If the initial value of the account is $800, which equation repres
Mashcka [7]

Answer:

Equation to represent the situation = 800=Y(1.05)^X

Step-by-step explanation:

Given:

Initial investment = Y

Growth rate (r) = 5% = 5 / 100 = 0.05

Number of year (n) = X year

Amount after X year = $800

Find:

Equation to represent the situation:

Computation:

Amount = Initial\ investment (1+r)^n\\\\800 = Y (1+0.05)^X\\\\800 = Y (1.05)^X\\\\

Equation to represent the situation = 800=Y(1.05)^X

6 0
3 years ago
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