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3 years ago

Triangle with Angle of 68 degrees and a side of 21 what is the value of x

Mathematics

1 answer:

tester [92]3 years ago

8 0

Step-by-step explanation:

angle=68

size=21

x=?

:.=68+21+×

=89=180-89

=91

:.×=91

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3 years ago

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Another name for segments qr

Helga [31]

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3 years ago

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi

Sunny_sXe [5.5K]

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

$P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}$

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

$P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483$

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

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3 years ago

1. a. Write the six trigonometric ratios for the given angle with<br> measure 0

trasher [3.6K]

Answer:

Sin 5/13

Cos 12/13

Tan 5/12

Csc 13/5

Sec 13/12

Cot 12/5

Step-by-step explanation:

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3 years ago

Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number

lapo4ka [179]

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

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2 years ago