1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksju [112]
3 years ago
12

What is the product written in scientific notation? (5.91×10−3)⋅(8.7×1010)

Mathematics
2 answers:
Sonja [21]3 years ago
5 0

(5.91\cdot10^{-3})\cdot(8.7\cdot10^{10})=(5.91\cdot8.7)\cdot(10^{-3}\cdot10^{10})\\\\=51.417\cdot10^{-3+10}=51.417\cdot10^7=5.1417\cdot10\cdot10^7\\\\=\boxed{5.1417\cdot10^8}\to\boxed{B.}

Used:\\\text{Associative property}\ (a\cdot b)\cdot c=a\cdot(b\cdot d)\\\\a^n\cdot a^m=a^{n+m}

romanna [79]3 years ago
4 0

(5.91×10^−3)⋅(8.7×10^10)

= (5.91 x 8.7) x 10^(- 3 + 10)

= 51.417 x 10^7

= 5.1417 x 10^8

Answer is

B. 5.1417 × 10^8



You might be interested in
What is the remainder in the synthetic division problem below?
NNADVOKAT [17]

Answer:

YES ITS C

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Please help me<br><br> y=-2x+2<br> y=2x+2<br> y= -1/2x+2<br> y= 1/2x+2
grin007 [14]
Okay well, just by looking at the graph. It’s a negative slope and the only answer, that has a negative is the 3 one.
4 0
3 years ago
Read 2 more answers
Name 2 same side interior angles
Leokris [45]

Answer:

Transversal and Consecutive

7 0
3 years ago
Paul opened a bakery. The net value of the bakery
densk [106]

Answer: v(t)= 2(t-3)^2-32

-32 thousand dollars

Step-by-step explanation:

Did the quiz

7 0
3 years ago
Read 2 more answers
In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. This is the 14
lbvjy [14]

Answer:

We are confident at 99% that the difference between the two proportions is between 0.380 \leq p_{Republicans} -p_{Democrats} \leq 0.420

Step-by-step explanation:

Part a

Data given and notation  

X_{D}=3266 represent the number people registered as Democrats

X_{R}=2137 represent the number of people registered as Republicans

n=7525 sampleselcted

\hat p_{D}=\frac{3266}{7525}=0.434 represent the proportion of people registered as Democrats

\hat p_{R}=\frac{2137}{7525}=0.284 represent the proportion of people registered as Republicans

The standard error is given by this formula:

SE=\sqrt{\frac{\hat p_D (1-\hat p_D)}{n_{D}}+\frac{\hat p_R (1-\hat p_R)}{n_{R}}}

And the standard error estimated given by the problem is 0.008

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion of Democrats that approve of the way the California Legislature is handling its job  

\hat p_A =\frac{1894}{3266}=0.580 represent the estimated proportion of Democrats that approve of the way the California Legislature is handling its job  

n_A=3266 is the sample size for Democrats

p_B represent the real population proportion of Republicans that approve of the way the California Legislature is handling its job  

\hat p_B =\frac{385}{2137}=0.180 represent the estimated proportion of Republicans that approve of the way the California Legislature is handling its job

n_B=2137 is the sample for Republicans

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.580-0.180) - 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.380  

(0.580-0.180) + 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.420  

And the 99% confidence interval would be given (0.380;0.420).  

We are confident at 99% that the difference between the two proportions is between 0.380 \leq p_{Republicans} -p_{Democrats} \leq 0.420

5 0
3 years ago
Other questions:
  • Sam is paying off his eight-year, $15,360 loan in semiannual installments. The loan has an interest rate of 9.58%, compounded se
    5·2 answers
  • Please explain I just started learning this
    7·1 answer
  • Nicole and her grandmother live in the same neighborhood, but a forest of trees separate their houses. If you left Nicole’s hous
    14·1 answer
  • A scale drawing has a scale of 0.25 in. : 12 ft. Find the length on the drawing for an actual length of 15 ft.
    6·2 answers
  • Hey I hope this helps many people but how do you do this problem <br><br> 5x=0.4
    12·2 answers
  • How do I solve for question 18 and what is the answer? Please help ASAP❤️
    14·1 answer
  • Solve<br> 4(x + 3) = 6<br><br> Make x the subject
    10·2 answers
  • Y=-x+5 <br> x-y=-9 <br> Solve the system?
    7·2 answers
  • A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x repr
    15·1 answer
  • Solve -36 4/9 - (-10 2/9) - (18 2/9)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!