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vovikov84 [41]
3 years ago
8

In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint

Mathematics
1 answer:
gregori [183]3 years ago
8 0

Answer:

m<HJF = 56^{o}

Step-by-step explanation:

From the given diagram, ΔFHJ is similar to ΔFEG. So that;

m<HJF = m<EGJ

⇒ 10x + 36 = 6x + 44

10x - 6x = -36 + 44

4x = 8

x = \frac{8}{4}

x = 2

Substitute the value of x in the expression for m<HJF to have,

m<HJF = 10x + 36

           = 10(2) + 36

           = 20 + 36

m<HJF = 56^{o}

The measure of angle HJF is 56^{o}.

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The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan

Answer:

0.6 probability that -2 \leq x \leq 2

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)

From the table:

P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60

0.6 probability that -2 \leq x \leq 2

4 0
2 years ago
Which of the following is not an itemized deduction?
Verdich [7]

Answer:


Depends on which answer they give you to answer. If you have the one I have which is *IRA contribution* then go for it!


6 0
3 years ago
Read 2 more answers
Teo spins the spinner 120 times. He expects to land on one particular color 30 times. What color is it?
olasank [31]

Answer:

Red

Step-by-step explanation:

P = 30/120 = 1/4

The spinner is divided into 8 equal sections.  1/4 of 8 is 2.  So we're looking for a color that appears on exactly 2 of the sections.

The color is red.

8 0
3 years ago
Which choice is equivalent to the expression below?
alekssr [168]

Answer: OPTION A

Step-by-step explanation:

We need to remember that Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Let's check the options:

A. For 5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}} you can  apply the property mentioned before. Then:

5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}

(It is the equivalent expression)

 B. Add the exponents:

 5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}

(It is not the equivalent expression)

C. For 5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}} you can  apply the property mentioned before. Then:

 5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}

(It is not the equivalent expression)

D. We know that 5^{9.969}=9,290,347.808 and we maje the addition indicated in this option, we get:

 5^9+5^{\frac{9}{10}}+6^{\frac{6}{100}}=1,953,130.37

(It is not the equivalent expression)

6 0
3 years ago
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Ilya [14]

Answer:

f(10) = 8

Step-by-step explanation:

f(x) = 4(x - 8)

Let x = 10

f(10) = 4 ( 10-8)

       = 4 ( 2)

      = 8

8 0
2 years ago
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