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Sever21 [200]
3 years ago
5

(Sorry forgot to put picture)

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0
4x+8x+12=180
12x+12=180 (combine like terms)
12x=168 (subtract 12 from both sides)
X=14 (divide 12 from both sides)
Sliva [168]3 years ago
6 0

Answer:

D

Step-by-step explanation:

You might be interested in
At a blind taste competition a contestant is offered 3 cups of each of the 3 samples of tea in a random arrangement of 9 marked
solmaris [256]

Answer:

\frac{5}{14}

Step-by-step explanation:

Data provided in the question:

Number of cups of tea offered = 3

Number of cups marked = 9

Number of cups tasted by each = 4

Now,

The probability that a contestant does not taste all of the samples

= contestant tastes only 2 samples of tea

= \frac{C_3^2\timesC_6^4}{C_9^4}

C₆⁴ = number of ways to choose 4 cups out of 6 cups of two samples

C₃² = number of ways to choose which 2 samples will be tasted

[ as 2 samples × 3 cups each = 6 cups ]

C₉⁴ = Number of ways to choose 4 cups out of 9

= \frac{5}{14}

Hence,

the correct answer is option (B) 5/14

4 0
2 years ago
Which proportion can be used to solve for f in the figure above?
kirill [66]

Answer:

You could use the Pythagnerum Theorem

Step-by-step explanation:

3 0
2 years ago
Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa
frozen [14]

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that \frac{1}{4}th of it is missing.

So, the actual length of the cookie is 18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5 inches.

If all the four of them get the same amount of the giant cookie then each of them will get \frac{13.5}{4} = 3.375 inches of cookie. (Answer)

8 0
3 years ago
Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.
dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\

The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

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

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>
6 0
2 years ago
8 cm<br> 5 cm<br> 10 cm<br> 12 cm
lana66690 [7]

Answer:

35 cm

Step-by-step explanation:

6 0
3 years ago
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