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3 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

ZanzabumX [31]3 years ago

7 0

Answer:

Step-by-step explanation:

try using each answer choise to find your answer it shoud equal 180 because all of the triangles equal that.

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An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6

SIZIF [17.4K]

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......$

where, n = number trials (samples) taken = 6 trials

r = number of success = at least 4

p = probability of success which in our question is probability of

rolling a “six", i.e; p = 0.20

Let X = Number of sixes on a die

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = P(X = 4) + P(X = 5) + P(X = 6)

= $\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}$

= $15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}$

= 0.0154 + 0.00154 + 0.000064

= 0.01696

Therefore, probability of rolling at least 4 sixes is 0.01696.

8 0

3 years ago

Solve the equation. 2(5c – 7) = 1

liq [111]

$\text{Hello there!}\\\\\text{Solve for c:}\\\\2(5c -7) = 1\\\\\text{First, distribute the 2}\\\\10c-14=1\\\\\text{Add 14 to both sides}\\\\10c=15\\\\\text{Divide both sides by 10}\\\\c=1.5\\\\\boxed{\text{Answer: c = 1.5 or 3/2}}$

8 0

3 years ago

Because of heavy traffic, a bus took 30 minutes to cover a distance of 20 city blocks. How many minutes per city block did the b

aev [14]

a bus took 30 minutes-------------------------- to cover a distance of 20 city blocks

X minutes------------------------------------------------one (1) city block

I apply a rule of three

X=(1)*(30)/20=1.5

Therefore

the bus moved 1.5 minutes/block city

 

7 0

3 years ago

There are 8 dinner rolls in a package. How many packages will be needed so that 64 people can get 2 dinner rolls?

rodikova [14]

8 per package.

64*2= 128

Now we need to divide 128 by 8 to see how many packages we will need.

128/8= 16

Now we know that we need 16 packages so that we can feed 64 people 2 dinner rolls.

Final answer: 16 packages

4 0

3 years ago

Read 2 more answers

Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, the favorite

Trava [24]

Answer:

The data are at the Nominal level of measurement.

The given calculation is wrong because average (mean) cannot be calculated for nominal level of measurement.

Step-by-step explanation:

The objective here is to Identify the level of measurement of the data, and explain what is wrong with the given calculation.

The data are at the Nominal level of measurement due to the fact that it portrays the qualitative levels of naming and representing different hierarchies from 100 basketball, 200 basketball, 300 football, 400 anything else

b) We are being informed that, the average (mean) is calculated for 597 respondents and the result is 256.1.

The given calculation is wrong because average (mean) cannot be calculated for nominal level of measurement. At nominal level this type of data set do not measure at all , it is not significant to compute their average (mean).

6 0

3 years ago

Find the value of x in the triangle shown below.​

Find the value of x in the triangle shown below.