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2 years ago

3. Find cos(A). Show your work and reduce the ratio if necessary.

Mathematics

1 answer:

anygoal [31]2 years ago

5 0

Answer:

cosA = $\frac{3}{5}$

Step-by-step explanation:

cosA = $\frac{adjacent}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{30}{50}$ = $\frac{3}{5}$

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In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

2 years ago

1. If 50% of x is 20, what is 10% of c ? A. 4 B.16 C. 20 D.40

Elan Coil [88]

Answer:

b???????????????????????????

Step-by-step explanation:

6 0

2 years ago

In 1993 eggs cost $0.87 a dozen. In 2003 it cost $1.56 a dozen. How much did the eggs appreciate (percent of increase)?

rusak2 [61]

Answer:

190%

Step-by-step explanation:

$1.56 is close to nearly 2x the value of $0.87

You can start by multiplying $0.87 by 2 to get $1.74

Now put $1.56 / $1.74

This gets you 0.89655172

By rounding this, you can get to 0.90

Move the decimal places two spots over to get a percentage = 90%

Since the eggs didn't decrease in value, you can add the 100% from the beginning of the problem.

100+90=190%

4 0

2 years ago

What is 375 as the product of prime factors

crimeas [40]

Answer: 375 is a composite number. Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3) The exponents in the prime factorization is 1

6 0

2 years ago

Kate sets a goal to walk 3 miles every day for a year. How many miles more or less than 1000 miles will she walk in the year

maw [93]

Answer:

She would walk 95 miles more because

Step-by-step explanation:

3 miles per day multiplied by 365 days = 1095

You have to subtract the number of miles currently by 1095 so that would be

1095-1000=95

Therefore 95 Is your answer

7 0

2 years ago