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2 years ago

Use the expression (10p+10)+(8p−1). Simplify using properties of operations and then factor the expression using the GCF.

Mathematics

1 answer:

Fofino [41]2 years ago

7 0

Answer:

9 (2p + 1)

Step-by-step explanation:

(18p + 9)

GCF = 9

so, divide everything by 9

9 (2p + 1)

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According to the website www.collegedrinkingprevention.gov, "About 25 percent of college students report academic consequences o

astraxan [27]

Answer:

The required confidence interval is (3.068,4.732)

Step-by-step explanation:

Consider the provided information.

He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.

Thus, n=50, $\bar x$ =3.90 σ=3.51

Now find degree of freedom.

$df=n-1\\df=50-1=49$

The confidence level is 90% and df=49

Therefore,

$\frac{\alpha}{2} =\frac{1-0.90}{2}$

$\frac{\alpha}{2} =0.05$

Now by using t distribution table look at 49 df and alpha level on 0.05.

$t_{\frac{\alpha}{2}} = 1.67653$

Calculate SE as shown:

$SE=\frac{\sigma}{\sqrt{50} }$

$SE=\frac{3.51}{\sqrt{50}}=0.4964$

Now multiply 1.67653 with 0.4964

Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832

Now add and subtract this value in given mean to find the confidence interval.

$\bar x-E$

Hence, the required confidence interval is (3.068,4.732)

4 0

3 years ago

1.4 + 3.2 x 2.95 =?<br> First one to help is gonna be marked brainliest.

777dan777 [17]

Answer:

10.84

Step-by-step explanation:

First we multiply

1.4+(3.2×2.95)

1.4+9.44=

=10.84

4 0

3 years ago

Read 2 more answers

The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is give

Sholpan [36]

The y intercept is 1.5x+22.7 + the linear equation which is 22

8 0

3 years ago

if computers sell for $1100 per unit and hard drives sell for $113 per unit, the revenue from x computers and y hard hard drives

dusya [7]

(x)1100+(y)113 x depends on the amount of computers is sold so x will change. y will be the amount of hard drives sold and then you add the total amount together.

8 0

3 years ago

What value of b makes the trinomial below a perfect square x^2-bx+100

Aloiza [94]

1. Perfect square trinomials, are 2nd degree polynomials, of the form $a x^{2} +bx+c$ so that $a \neq 0, b \neq 0, c \neq 0$ , which can be written as perfect squares.

2. For example $(x+1) ^{2} = x^{2} +2x+1
 
(3x-1)^{2}= (3x)^{2}-2(3x)+(-1) ^{2}= 9x^{2}-6x+1 
$

3. Thus $x^{2} +2x+1, 9x^{2}-6x+1$ are perfect square trinomials.

4. $x^{2} -bx+100= x^{2} -bx+ 10^{2}= (x+10)^{2} or (x-10)^{2}$

5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.

6. b∈{-20, 20}

6 0

3 years ago