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Rzqust [24]
2 years ago
15

Add the two expressions. −2.4n−3 and −7.8n+2

Mathematics
1 answer:
Sphinxa [80]2 years ago
4 0

Answer:

-10.2n - 1

Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

(-2.4n-3)+(-7.8n+2)\\=-2.4n-3-7.8n+2\\=-2.4n-7.8n-3+2\\=-10.2n-1

Thus, the two given expressions add up to -10.2n - 1

You might be interested in
A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?
VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need  we will need these two equations

Step one

Remember

area of a circle

Area=\pi *\frac{diameter^{2} }{4}\\

Also, the volume of the cylinder

Volume= area of the circle * height

Volume=\pi *\frac{diameter^{2} }{4} *height\\

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters

I hope it helps,have a great day.

3 0
3 years ago
Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample
scoundrel [369]

Answer:

\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})

And we can use the z score formula given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

And if we find the parameters we got:

\mu_p = 0.26

\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349

And we can find the z score for the value of 0.4 and we got:

z = \frac{0.4-0.26}{0.0349}= 4.0119

And we can find this probability:

P(z>4.0119) = 1-P(z

And if we use the normal standard table or excel we got:

P(z>4.0119) = 1-P(z

Step-by-step explanation:

For this case we have the following info given:

p = 0.26 represent the proportion of the company's orders come from first-time customers

n=158 represent the sample size

And we want to find the following probability:

p(\hat p >0.4)

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})

And we can use the z score formula given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

And if we find the parameters we got:

\mu_p = 0.26

\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349

And we can find the z score for the value of 0.4 and we got:

z = \frac{0.4-0.26}{0.0349}= 4.0119

And we can find this probability:

P(z>4.0119) = 1-P(z

And if we use the normal standard table or excel we got:

P(z>4.0119) = 1-P(z

8 0
2 years ago
Write a function whose graph passes through : (-7,0), (2,0), (4,0)<br> The function is f(x)=______
strojnjashka [21]

Answer:

0

Step-by-step explanation:

f(x) = y = 0

so, f(x) = 0

--

7 0
3 years ago
Im just typing this so i can reach the 20 character the limit :)​
masha68 [24]

Answer:

x = 5

Step-by-step explanation:

Add the degrees of m<VUJ and m<JUT and make them equal to 175 since both angles exist with m<VUT.

17x - 3 + 17x + 8 = 175

34x - 3 + 8 = 175

34x + 5 = 175

34x = 170

x = 5

7 0
2 years ago
Solve the quadratic equation numerically (using tables of x- and y- values).
cricket20 [7]

Answer:

x= -3 or x= -4

Step-by-step explanation:

3 0
3 years ago
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