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topjm [15]
3 years ago
14

(4.0 x 10^3)(2.8 x 10^-4)

Mathematics
2 answers:
katovenus [111]3 years ago
8 0
Scientific nottaion is
(number that is less than 10 and more than or equalt to 1) times 10^x

so

remmeber
(a*b)(c*d)=(a)(b)(c)(d)=(a*c)(b*d)
so you can just move dem

also
(x^m)(x^n)=x^(m+n)

so

(4*10^3)(2.8*10^-4)=
group the exponent things together
(4*2.8)(10^3*10^-4)=
(11.2)(10^-1)=
don't forget that the first number has to be less than 10
11.2>10, so we have to factor out the 10
(1.12*10^1)(10^-1)=
(1.12)(10^1*10^-1)=
1.12*10^0

answer is 1.12*10^0
(first number has to be less than 10)
ziro4ka [17]3 years ago
7 0
(4.0 \times  10^3)(2.8 \times  10^{-4})\implies 4.0\times  2.8\times  10^3\times  10^{-4}
\\ \quad \\
11.2\times  10^{3-4}\impliedby \textit{same base, different exponent}
\\ \quad \\
11.2\times 10^{-1}
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Ana age is 8 years less than 4 times her sisters age. Write an expression for Ana’s age. How old is ana if her sister is 5 years
DanielleElmas [232]

Answer:

Ana is 12

Step-by-step explanation:

5x4=20

20-8=12

3 0
3 years ago
A major metropolitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers.
Tpy6a [65]

Answer: (0.36845,\ 0.43155)

Step-by-step explanation:

Let p be the population proportion of  readers who would like more coverage of local news.

As per given , we have

sample size :=1600

sample proportion : \hat{p}=40\%=0.40

The confidence interval for population proportion is given by :-

\hat{p}\pm z^* \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

From z-table ,

For 99% confidence interval the z-value is 2.576.

Substitute all the values in the above formula , we get

The 99% confidence interval for the proportion of readers who would like more coverage of local news as

0.40\pm(2.576) \sqrt{\dfrac{0.40(1-0.40)}{1600}}

0.40\pm(2.576) \sqrt{\dfrac{0.24}{1600}}

0.40\pm(2.576) \sqrt{0.00015}

0.40\pm(2.576) (0.0122474487139)

0.40\pm0.03155

(0.40-0.03155,\ 0.40+0.03155)=(0.36845,\ 0.43155)

Hence, the 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.36845,\ 0.43155) .

5 0
4 years ago
PLEASE HELP!!!
Nuetrik [128]
The correct aswers is A
5 0
3 years ago
The lines a and b intersect at point D.<br><br> What is the value of z?
MrRissso [65]

Answer:

The value of the z is 12 .

Step-by-step explanation:

Definition of vertically opposite angle .

Vertically opposite angles is defines angles opposite to each other when two lines cross eachother .

Thus

(5z + 8)° = (4z + 20)°

(5z + 8) = (4z + 20)

Open the bracket

5z + 8 = 4z + 20

5z -  4z = 20 -8

z = 12

Therefore the value of the z is 12 .


5 0
3 years ago
Read 2 more answers
Help me please I'm trying to get this donee​
balandron [24]

Answer:

The answer is 15.

Step-by-step explanation:

Plug in the numbers for the a and b values individually.  For the numerator, 5(6) is the same thing as 5 * 6 = 30.  For the denominator, 1/4^2 would equal to 1/16 and when you multiply it by 32, you will get 2.

To clear things up, the fraction should be 30/2 and your answer should be 15 as a result.

8 0
3 years ago
Read 2 more answers
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