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3 years ago

What is the value of x? Enter your answer in the box. X =

Mathematics

1 answer:

Alina [70]3 years ago

4 0

X=nothing you didn’t give us anything number

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Find the number that belongs in the green box. <br><br>round your answer to the nearest tenth.

Delicious77 [7]

Answer:

4.6

Step-by-step explanation:

Use sine rule to find the number that belongs to the box.

Thus:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

a = ?? (the number in the green box)

b = 5

A = 38°

B = 42°

Plug in the values

$\frac{a}{sin(38)} = \frac{5}{sin(42)}$

Multiply both sides by sin(38)

$\frac{a}{sin(38)} \times sin(38) = \frac{5}{sin(42)} \times sin(38)$

$a = \frac{5 \times sin(38)}{sin(42)}$

$a = 4.6$ (nearest tenth)

8 0

3 years ago

A = 6 - 35 B = 3x + 53<br> Solve for x then find the measure of A.

11111nata11111 [884]

Answer:

A = 73°

Step-by-step explanation:

A + B = 180 because of alternating interior angles

Substitute each angle

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 162

x = 18

Substitute A

A = 6x - 35

A = 108 - 35

A = 73

Hope this helps

Have a great day!

6 0

3 years ago

Apply the distributive property to factor out the greatest common factor. 56+32

Scorpion4ik [409]

You can't because there is no other number that is 1. in () and 2. You need 3 or more number to actually "distribute" it

Hope that Helps! Please let me know if it didn't

7 0

4 years ago

A model of a volcano has a height of 12 in., and a diameter of 12 in. What is the approximate volume of the model?

miss Akunina [59]

Answer:

Cone Volume = (PI * radius^2 * height) / 3

Cone Volume = (PI * 6^2 * 12) / 3

Cone Volume = 452.3893421169 cubic inches

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

7 0

4 years ago

A total of 60% of the customers of a fast food chain order a hamburger, French fries, and a drink. If a random sample of 15 cash

Ne4ueva [31]

Answer:

C. 0.403

Step-by-step explanation:

Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.

We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?

The binomial probability distribution function for random variable X is

$P(X=x)=nCxp^{x} q^{n-x}$

where q=1-p=1-0.6=0.4,n=15 and p=0.6.

P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)

$P(X=10)=15C10(0.6^{10})( 0.4^{5})$ =0.185938

$P(X=11)=15C11(0.6^{11}) (0.4^{4})$ =0.126776

$P(X=12)=15C12(0.6^{12}) (0.4^{3})$ =0.063388

$P(X=13)=15C13(0.6^{13}) (0.4^{2})$ =0.021942

$P(X=14)=15C14(0.6^{14}) (0.4^{1})$ =0.004702

$P(X=15)=15C15(0.6^{15}) (0.4^{0})$ =0.000470

P(X≥10)= 0.185938 +0.126776 +0.063388 +0.021942 +0.004702 +0.000470

P(X≥10)=0.403216

So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.

8 0

3 years ago