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3 years ago

Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

$4\left(n\right)-3=-2\left(n\right)+9$

remove the parentheses

$4n-3=-2n+9$

Add 3 to both sides

$4n-3+3=-2n+9+3$

Simplify

$4n=-2n+12$

Add 2n to both sides

$4n+2n=-2n+12+2n$

Simplify

$6n=12$

Divide both sides by 6

$\frac{6n}{6}=\frac{12}{6}$

Simplify

$n=2$

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

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mars1129 [50]

Answer:

The 80% confidence interval for difference between two means is (0.85, 1.55).

Step-by-step explanation:

The (1 - α) % confidence interval for difference between two means is:

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Given:

$\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25$

Confidence level = 80%

$t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397$

*Use a t-table for the critical value.

Compute the 80% confidence interval for difference between two means as follows:

$CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)$

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).

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3 years ago

5s + 2z = 1.32 3s + 1z = 0.75 what would the answer be?

Sphinxa [80]

Answer:

Step-by-step explanation:

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3 years ago

Round to underline digit 3 in 32, 336

Charra [1.4K]

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3 years ago

Denice is making 25 bouquets. 4/5 of the bouquets are roses and the rest are daisies. How many bouquets are daisies?

erica [24]

Answer:

5 of the bouquets are Daises.

Step-by-step explanation:

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4/5 = Rose Bouquets 1/5 = Daisy Bouquets

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3 years ago

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atroni [7]

see the attached figure to better understand the problem

we know that

If a and b are parallel lines

then

m∠1=m∠4 --------> by alternate exterior angles

m∠3+m∠4= $180\°$ --------> by supplementary angles

m∠3+m∠1= $180\°$

therefore

the answer is the option

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3 years ago

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