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
vodomira [7]
3 years ago
11

Please someone help me with this I am very confused

Mathematics
1 answer:
Elis [28]3 years ago
4 0
8 \sqrt{3} *4 \sqrt{15} = 8*4 \sqrt{3*15}  \\  \\ 32 \sqrt{45} = 32 \sqrt{9*5} =32*3 \sqrt{5}  \\  \\ = 96 \sqrt{5} 

You might be interested in
Standard notation 8.15×10^5​
sukhopar [10]

Answer:

8.15×10^5

Step-by-step explanation:

8.15×10^5

8.15×100000

815000

8 0
3 years ago
Area of a trapezium is 31.5cm. If the parallel sides are of lengths 7.3cm and 5.3cm. Calculate the perpendicular distance betwee
Anna11 [10]

Answer:

5cm

Step-by-step explanation:

Given area of trapezium = 31.5 sq. cm

Length of parallel sides = 7.3cm and 5.3cm

Formula to calculate area of trapezium is

1/2*(sum of parallel sides)*perpendicular distance between parallel sides

sum of parallel sides =  (7.3 + 5.3) = 12.6cm

substituting value of area given and sum of parallel sides we have

31.5 = 1/2* 12.6 * perpendicular distance between parallel sides

(31.5 * 2)/12.6 = perpendicular distance between parallel sides

perpendicular distance between parallel sides = 63/12.6 = 5

Therefore perpendicular distance between parallel sides for given trapezium is 5cm.

5 0
3 years ago
A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get
julsineya [31]

I have an expression

\sigma = \sqrt{p(1-p)/n}

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

E( (b-p)^2 ) =  (-p)^2(1-p) + (1-p)^2p = p(1-p)

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

\sigma = \sqrt{p(1-p)/n}

Plugging in the numbers,

\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0
3 years ago
What are two ratios that are equivalent to 4:6
Alecsey [184]

Answer:

8:12,16:24,32:48,20:30

3 0
3 years ago
A flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard
Vladimir [108]

Answer:

17,065 of those batteries can be expected to last between three years and one month and three years and seven months

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem:

I will calculate the time in months. Each year has twelve months.

Mean shelf life is three years and four months, with a standard deviation of three months. So

\mu = 3*12 + 4 = 40

\sigma = 3

Proportion lasting between three years and one month and three years and seven months:

This is the pvalue of Z when X = 3*12 + 7 = 43 subtracted by the pvalue of Z when X = 3*12 + 1 = 37

X = 43

Z = \frac{X - \mu}{\sigma}

Z = \frac{43 - 40}{3}

Z = 1

Z = 1 has a pvalue of 0.8413.

X = 37

Z = \frac{X - \mu}{\sigma}

Z = \frac{37 - 40}{3}

Z = -1

Z = -1 has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 25,000 batteries:

68.26% of the batteries are expected to last between three years and one month and three years and seven months.

0.6826*25000 = 17,065

17,065 of those batteries can be expected to last between three years and one month and three years and seven months

6 0
3 years ago
Other questions:
  • Which measurement is most accurate to describe the amount a coffee cup could hold 350 mL 2.4 L 25 mL or 0.8 L
    9·2 answers
  • What múltiples to 70 and adds to 19
    14·2 answers
  • 12 1/7 + 3 6/11 add simply if possible will mark braniest been stuck for 25 min on this show ur work
    7·2 answers
  • Not sure how to do this. (I'm aware this is wrong lol)
    12·1 answer
  • Simplify the algebraic expression:(x^5)^-2​
    13·1 answer
  • A number increased by five and then divided by two
    14·2 answers
  • john is thinking of a number in the hundred thousands.The first digit is equal to the number of digits in the number.The number
    11·1 answer
  • Need help with math 25 points and brainlest correct answers only
    12·2 answers
  • POLS HELP ME NOWWWW I DONT UNDERSTAND IT
    9·1 answer
  • 2+2 <br><br><br> Help please i really need it
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!