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Tju [1.3M]
4 years ago
5

Does somebody know this problem?

Mathematics
1 answer:
Katarina [22]4 years ago
5 0
You can use Pythogarean theorem to find the second leg:
{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\  \\  {48}^{2}  +  {b}^{2}  =  {50}^{2}  \\  \\ 2304 +  {b}^{2}  = 2500 \\  \\  {b}^{2}  = 196 \\  \\ b = 14
So, x is equal to 14.
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Perform the requested operation or operations. f(x) = 7x + 6, g(x) = 4x2 find (f + g)(x).
Lina20 [59]
(f + g)(x) = 7x + 6 + 4x² = 4x² + 7x + 6

The notation given means to add the rules of f(x) and g(x), and since there are no like terms, your answer is 4x² + 7x + 6
5 0
3 years ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
NeX [460]

Answer:

0.09

Step-by-step explanation:

Given that 50% of this population prefers the color green.

Let p the probability that one person selected from the population prefer the green color of the car. So,

p=0.05

There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.

By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is

P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)

Here, 15 buyers are randomly selected, so, n= 15 and

r= \frac1 3 \times 15=5

So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is

P(r=5)=\binom{15}{5}(0.5)^{5}{(1-0.5)}^{15-5}

=\binom{15}{5}(0.5)^{5}{0.5}^{10}

=\binom{15}{5}(0.5)^{15}

=0.0916

Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.

3 0
3 years ago
What is the sum of the exterior angles?<br><br><br> 105<br><br> 360<br><br> 145<br><br> 180
KIM [24]
Sum of exterior angles is 360 degrees
8 0
3 years ago
Select all correct answers <br> What are the solution to this equation <br> -7+(x^2-19)^3/4=20
m_a_m_a [10]

Correct options are -10 and 10

-7 + (-10² - 19)³/⁴ = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

-7 + (10² - 19)^3/4 = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

Rest options are incorrect

Answered by Gauthmath must click thanks and mark brainliest

8 0
3 years ago
A company did a quality check on all the packs of trail mix it manufactured. each pack of trail mix is targeted to weigh 9.25 oz
MariettaO [177]

Rejected masses x are those that weigh less than 9.02 oz or more than 9.48 oz.

<h3>What is the range?</h3>
  • In mathematics, the range of a function can refer to one of two notions that are closely related.
  • The function's codomain, the function's visual representation.
  • A binary relation f between two sets X and Y is a function if for every x in X there is exactly one y in Y such that f relates x to y.

To find the rejected masses:

  • If each pack of trail mixes is supposed to weigh 9.25 oz and must be within 0.23 oz of that weight to be accepted, then rejected masses x are those that weigh less than 9.02 oz or more than 9.48 oz.

Therefore, rejected masses x are those that weigh less than 9.02 oz or more than 9.48 oz.

Know more about the range here:

brainly.com/question/26098895

#SPJ4

The correct question is given below:

A company did a quality check on all the packs of trail mix it manufactured. each pack of trail mix is targeted to weigh 9.25 oz. a pack must weigh within 0.23 oz of the target weight to be accepted. what is the range of rejected masses, ×, for the manufactured trail mixes?

4 0
2 years ago
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