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3 years ago

What is the value of x?

Mathematics

2 answers:

pentagon [3]3 years ago

6 0

$\text{To find x. find the other angle in the inner triangle}\\\\\text{We know that a triangle equals 180 degrees, so subtract 73 and 67 from}\\\text{180}\\\\180-67-73=40\\\\\text{Now, we know that the missing inner angle is 40 degrees, but we're}\\\text{trying to find what x is}\\\\\text{To find x, we would subtract 40 from 180 because that whole line represents}\\\text{180 degrees}\\\\180-40\\\\\boxed{\text{x = 140 degrees}}$

Sati [7]3 years ago

4 0

Answer:

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Step-by-step explanation:

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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

2 years ago

6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44

xxMikexx [17]

Answer:

60 years

Step-by-step explanation:

Given that :

Sarah's age = a

Assume Sarah is older than 44 ; then a > 44

64 = 4 times difference between a and 44

Expressing the problem mathematically ;

64 = 4 * (a - 44)

64 = 4a - 176

64 + 176 = 4a

240 = 4a

a = 240 / 4

a = 60

Hence, Sarah is aged 60

5 0

2 years ago

Is the following statement always, sometimes, or never true? “The supplement of an acute angle is an obtuse angle.” Explain your

balu736 [363]

Answer:

Always

Step-by-step explanation:

An acute angle is an angle that is less than 90. Supplementary angles add up to 180.

So 180-89= 91

An obtuse angle is any angle that is greater than 90.

Here's a link to a better explanation.

brainly.com/question/14180317

7 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP, Major points Geometry

gavmur [86]

Central angle is 130
Semi circle is BED and BCD
Major arc is CEB
Measure BAC is 130
BEC is 230

3 0

2 years ago

(Please make sure your answer is 100% correct and Accurate)

I am Lyosha [343]

It would be 7813.50.

3 0

2 years ago

What is the value of x?​

What is the value of x?