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3 years ago

Divide 2x2 + 7x – 3 by 2x + 5. Which expression represents the quotient and remainder?

Mathematics

2 answers:

dedylja [7]3 years ago

9 0

Answer:

The answer is D

Step-by-step explanation:

I just took the test and the guy who answered before me is correct its just hard to see

Anvisha [2.4K]3 years ago

4 0

Hello,

(2x²+7x-3)/(2x+5)=(2x²+5x+2x-3)/(2x+5)
=x(2x+5)/(2x+5)+ (2x+5-5-3)/(2x+5)
=(x+1)/(2x+5)-8/(2x+5)
==> 2x²+7x-3=(x+1)(2x+5)-8

Quotient=x+1
remainder=-8

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The report "The New Food Fights: U.S. Public Divides Over Food Science" states that younger adults are more likely to see foods

zheka24 [161]

Solution :

$n_1=178, \hat p_1 = 0.48$

$n_2=427, \hat p_2 = 0.38$

$\hat p_1=\frac{x_1}{n_1}$

$x_1=n_1 \hat p_1$

= 178 x 0.48

= 85.44

≈ 85

$x_2=n_2 \hat p_2$

= 427 x 0.38

= 162.26

≈ 162

a). Yes, the sample sizes are large enough to use the large sample confidence interval so as to estimate the difference in the population proportions.

Let $\hat p_1 = 0.48, \ \ \hat p_2 = 0.38, n_1 = 178 \ \ n_2 = 427$

Where the $\text{subscript indicates}$ the age $18-29$ group and the 2 - subscript indicates the age $50-64$ group.

Since $n_1 \hat p_1 = 85.44$

$n_1(1- \hat p_1)=92.56, \ \ n_2\hat p_2 = 162.26, \ n_2(1-\hat p_2) = 264.74$

are all at least 10, the sample sizes are large enough to use the large sample confidence interval.

$P_0=\frac{x_1+x_2}{n_1+n_2}$

$=\frac{85.44+162.26}{178+427}$

= 0.409421

$P_0 = 0.4074$

$Q_0=1-P_0$

= 1 - 0.4094

= 0.5906

b). 90% confidence interval is

$=\left( \hat p_1- \hat p_2 \pm \frac{z \alpha}{2} \times \sqrt{P_0Q_0\left(\frac{1}{n_1}+\frac{1}{n_2}}\right) \right)$

$=\left( 0.48-0.38 \pm \frac{z \times 0.10}{2} \times \sqrt{0.4094 \times 0.5906\left(\frac{1}{178}+\frac{1}{427}}\right) \right)$

$=(0.1 \pm z 0.05 \times 0.04387082)$

$=(0.1 \pm 1.64 \times 0.0439)$

$=(0.1 - 0.071996, 0.1+0.071996)$

$=(0.028004, 0.171996)$

$=(0.0280, 0.1720)$

c). Zero is not included in the confidence interval. Answer is no. The difference in the two population proportion are different from each other.

5 0

3 years ago

Mrs. Valdez wanted to determine the number of people, p, she could safely take in her car to the fun run. She determined that p

dolphi86 [110]

Answer:

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for the second question I need to see the whole inequality, generally there is a variable, and all i see is <-1, which is invalid.

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Step-by-step explanation:

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3 years ago

A midwestern music competition awarded 35 ribbons. The number of blue ribbons awarded was 3 less than the number of white ribbon

Tanzania [10]

35 total ribbons

x = white ribbons
x-3 = blue ribbons
x+2 = red ribbons

35= x+x-3+x+2
35= 3x -1
36 =3x
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9 blue ribbons
14 red ribbons

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3 years ago

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zimovet [89]

Answer:

A. 36

Step-by-step explanation:

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3 years ago

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