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3 years ago

If sin x = .42, what is cos x?

1 answer:

34kurt3 years ago

6 0

From the identity,
sin^2(x)+cos^2(x)=1
then
cos(x)=sqrt(1-sin^2(x))
where sin(x) is given as 0.42.

Note that the above answer applies to 0<x<90 degrees

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Greg is 5 times Sam's age. Greg is 15 years old. Write an equation to represent "s", Sam's age

vfiekz [6]

Answer:

The equation to represent Sam's age is 15 ÷ 5 = s

s = 3

5 0

3 years ago

Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many peo

marta [7]

Answer: 300

Step-by-step explanation:

From the question, we are informed that Mr Gaines is catering his company picnic and that he will pay $18.45 for 3 people to eat the barbecue lunch. This means each person spends:

= $18.45/3

= $6.15

With a budget of $1850.00, the number of people that he'll be able to feed will be:

= $1850/$6.15

= $300 people

5 0

3 years ago

According to a survey, 58% of people carry at least 1 reusable water bottle. If 5 people are selected randomly, what is the prob

TiliK225 [7]

Answer:

The probability that at least 4 of them will be carrying a reusable water bottle is 30.3%.

Step-by-step explanation:

Here it is given that probability of people who carry at least 1 reusable water bottle is <em>p </em>= 0.58.

A random sample of <em>n</em> = 5 people are selected.

This data follows binomial distribution, with success denoted by a a person carrying t least 1 reusable water bottle. The probability mass function of binomial distribution is,

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

Compute the probability that at least 4 of them will be carrying a reusable water bottle as follows:

P (X ≥ 4) = P (X = 4) + P (X = 5)

$={5\choose 4}\ 0.58^{4}\ (1-0.58)^{5-4}+{5\choose 5}\ 0.58^{5}\ (1-0.58)^{5-5}\\=0.237646416+0.0656356768\\=0.3032820928\\\approx 0.3033$

The percentage is, 0.3033 × 100 = 30.3%.

Thus, the probability that at least 4 of them will be carrying a reusable water bottle is 30.3%.

5 0

3 years ago

Barbara deposited $300 in the bank. If the bank pays her simple interest at the rate of 4 percent per year, how much money will

grigory [225]

Answer:

309

Step-by-step explanation:

The formula for simple interest is

A = P(1 + rt)

where A is the amount of money in the account

P is the principal invested

r is the interest rate in decimal form

t is the time invested in years

We know

P = 300

r = 4% = .04

t = 9 months = 9 months * 1 year/12 months = .75 year

Substituting into the equation

A = 300(1 + .04*.75)

=300 (1+.03)

=300(1.03)

= 309

4 0

3 years ago

12 is 1/5 of what number?

Nastasia [14]

60.

12 x 5= 60

Therefore, 12 is 1/5 of 60.

8 0

3 years ago

Read 2 more answers