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mash [69]
3 years ago
13

Angle a is 40 work out the angle of X on the triangle

Mathematics
1 answer:
fredd [130]3 years ago
4 0
50 degrees if it is a right angled triangle

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The lengths of two sides of a triangle are 4 cm 4 cm and 20 cm . 20 cm. Identify the correct pair of measures between which the
Gennadij [26K]

Answer:

I think what you meant to say is "If a triangle has 2 sides that are 4 cm and 20 cm, what are the possible lengths of the third side?"

Basically, when given 2 sides of a triangle, the third side must be GREATER  than the DIFFERENCE of the other 2 sides and LESS than the SUM of the other 2 sides.

difference = 16 cm

sum = 24 cm

So, the third side must be greater than 16 cm and less than 24 cm

Step-by-step explanation:

4 0
3 years ago
1 unit by 2 units by<br> units
Julli [10]

Answer:

2

Step-by-step explanation:

1 unit by 2 unit means area.

So, know that in area you multiply length times width, you multiply 2 and 1.

1·2

Which is 2

8 0
3 years ago
Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?
Ede4ka [16]
<h3>Answer: 6 dollars per kilogram</h3>

=====================================================

Explanation:

The mixed number 4 & 1/2 converts to the decimal form 4.5

The unit price is 27/(4.5) = 6 dollars per kilogram

------

If you wanted, you can think of it like this ratio

4.5 kg : 27 dollars

Dividing both parts of that ratio by 4.5 will lead to

1 kg : 6 dollars

8 0
3 years ago
based on the simulation, what is the probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to
Triss [41]

Using the binomial distribution, supposing that 0.3 of the callers have to wait more than 8 minutes to have their calls answered, it is found that there is a 0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

For each caller, there are only two possible outcomes, either they have to wait more than 8 minutes to have their calls answered, or they do not. The probability of a caller having to wait more than 8 minutes is independent of any other caller, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 10 callers, hence n = 10
  • Suppose that 0.3 of them have to wait more than 8 minutes, hence p = 0.3

The probability that <u>at most 2</u> of the next 10 callers will have to wait more than 8 minutes is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.3)^{0}.(0.7)^{10} = 0.0282

P(X = 1) = C_{10,1}.(0.3)^{1}.(0.7)^{9} = 0.1211

P(X = 2) = C_{10,2}.(0.3)^{2}.(0.7)^{8} = 0.2335

Then:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0282 + 0.1211 + 0.2335 = 0.3828

0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

A similar problem is given at brainly.com/question/25537909

3 0
3 years ago
A function, f(x) = x, is vertically translated 4 units up and then reflected across the y-axis. What's the new function in terms
babunello [35]

Answer:

The new function is g(x) = -x + 4

Step-by-step explanation:

  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ A function f(x) = x

∵ It is vertically translated 4 units up

→ By using the 1st rule above, the value of k = 4

∴ k = 4

∵ Its image h(x) = f(x) + k

∴ Its image h(x) = f(x) + 4

∴ Its image h(x) = x + 4

∵ Then it is reflected across the y-axis

→ By using the 2nd rule above, change the sign of x in h(x)

∵ h(x) = x + 4

∴ g(x) = h(-x)

∴ g(x) = -x + 4

∴ The new function is g(x) = -x + 4

8 0
3 years ago
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