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3 years ago

Solve the equation. b−19=−11

Mathematics

2 answers:

Maslowich3 years ago

8 0

Answer:

Step-by-step explanation:

Step 1: Add 19 to both side

b-19+19=-11+19

b=8

Hope I helped:D

Xelga [282]3 years ago

8 0

Answer: b = 8

Step-by-step explanation: To solve for b in this equation, we want to get b by itself on the left side of the equation.

Since 19 is being subtracted from b, to get b by itself,

we need to add 19 to the left side of the equation.

If we add 19 to the left side, we must also add 19 to the

right side in order to keep our equation balanced.

Notice that on the left side, -19 and +19 cancel

each other out so we're simply left with b.

On the right side, -11 + 19 equals 8.

So we have b = 8.

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The perimeter of a rectangular painting is 326 cm. if the width of the painting is 74 cm, what is the length?

True [87]

Perimeter (P) = 326 cm

Width (w) = 74 cm

Length (l) = ?

We know,

P = 2* (l + w)

326 = 2 (l + 74)

l + 74 = 163

l = 89

Hence, length is 89 cm.

7 0

3 years ago

Let omega be a complex number such that omega^3 = 1. Find all possible values of {1}{1 + \omega} + {1}{1 + \omega^2}. Enter all

Norma-Jean [14]

Answer:

1 is Answer.

Step-by-step explanation

$\frac{1}{1+omega^{2} } + \frac{1}{1+omega }\\$

= $\frac{(-1)*(omega + 1)}{omega^{2} }$

As we know that ω²+ω+1=0

Thus putting in above equation, we get

= $\frac{1}{(-1)*omega } + \frac{1}{(-1)*omega^{2} }$

Rearranging and simplifying:

= $\frac{-1}{omega } + \frac{-1}{omega^{2} }$

= $\frac{(-1)*(omega + 1)}{omega^{2} }$

= $\frac{(-1)*(- omega^{2} )}{omega^{2} }$

= 1 Answer

8 0

3 years ago

Please help me add this fractions(show work)

tatuchka [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0

3 years ago

Which expression is equivalent to 3√32x^8y^10?

denpristay [2]

3√(32x^8y^10)
= 3√(16*2 x^8y^10)
= 12x^4y^5 √2

Hope it helps

6 0

3 years ago

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