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S_A_V [24]
3 years ago
8

Part 2 to my hw pls help if u can!​

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

24.7

Step-by-step explanation:

first lets set things up: we know that one leg is 8 shorter than 42

42-8=34

so a leg is 34 and the hypotenus is 42, plug into the Pythagorean therum

42 squared- 34 squared = ?

1764-1156= 608

square root of 608 = 24.7

So the missing side is 24.7

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Find Sn for the given arithmetic series a1=-26 d=-9 n=24
ryzh [129]

Answer:

- 3108

Step-by-step explanation:

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a_{1} + (n - 1)d ]

Substitute the given values into the formula

S_{24} = \frac{24}{2} [ (2 × - 26) + (23 × - 9) ]

                          = 12 ( - 52 - 207 )

                         = 12 × - 259 = - 3108

5 0
3 years ago
A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

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

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
Determine how many acute angels are in this figure
Zepler [3.9K]

Answer:21

Step-by-step explanation:

One = <AOB

two= <BOC

three = <COD

four = <DOE

five = <EOF

six = <AOC

Seven = <AOD

Eight = <AOE

Nine = <BOD

Ten = < BOE

Eleven = < BOF

Theres a bunch more but im not listing them

6 0
3 years ago
the cost of an ice cream sundae is 4.75$ plus 30 cents per topping. megan spends $6.26 on her sundae how many toppings did he ge
alexgriva [62]

Answer:

5

Step-by-step explanation:

$4.75 + 0.3x = $6.26

0.3x = 1.51

x = 5.033

4 0
3 years ago
Brianna typically sells candy bars for $4.70. During a sale she prices them at $3.30. What is the approximate percent discount o
Elena-2011 [213]

Answer:

30%

Step-by-step explanation:

One simple way of finding out discounts is to simplify our answer by starting with 10% and subtracting from that.

If the original price were to have a 10% discount, it would be 4.70/10 for .47 per 10% off.

10% gives us 4.23, so let's take another 10% off by doing 4.23-.47, which is equal to 3.76. While lower, it's not our answer so lets do another 10%

3.76-4.7 = $3.29

With a total of 3 10%'s taken off, or in this case, 30% off, we can conclude that the discounted prices of $3.29 is 30% of the original price.

4 0
2 years ago
Read 2 more answers
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