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2 years ago

HELP ASAP I WILL GIVE BRAINLIST

Mathematics

1 answer:

GenaCL600 [577]2 years ago

6 0

Step-by-step explanation:

sin ∅ = -(√3)/2

Note that

cos²∅ + sin²∅ = 1

cos²∅ = 1 - sin²∅

= 1 - (-√3 / 2)²

= 1 - (-√3)²/ 2²

= 1 - 3/4

= 1/4

cos²∅ = 1/4

Taking square root of both sides

cos∅ = 1/2

Note that tan∅ = sin∅/cos∅

therefore, tan∅ = -(√3)/2 ÷ 1/2

= -(√3)/2 × 2/1

= -√3

tan∅ = -√3

Since sin∅ = -√3 /2

Then ∅ = -60⁰

The value of ∅ for the given range (third quadrant) is 240⁰.

NB: sin∅ = sin(180-∅)

Also, since 180⁰ is π radians, then ∅ = 4π/3

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The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. T

Airida [17]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

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2 years ago

I need help on this one please

katrin2010 [14]

Answer:

Step-by-step explanation:

(-2,4), (0,6), and(2,8)

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2 years ago

Jim takes out a mortgage for 30 years at an interest rate of 2.49% and his monthly repayments are $986.50. What is the principal

Svetllana [295]

The principal loan amount will be 250000. P is denoted by the principal loan amount

<h3> What is the amount?</h3>

The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P is the principal loan amount

r is the rate of interest = 2.49%

n is the time period= of 30 years

The formula for the principal loan amount is found as;

$\rm P=M(1-(1+\frac{r}{12} )^{\frac{12}{n}$

$\rm P=986.50(1-(1+\frac{0.249}{12} )^{\frac{12}{30} }\\\\ P= 250000$

Hence the principal loan amount will be 250000.

To learn more about the amount, refer to the link;

brainly.com/question/12184047

#SPJ1

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1 year ago

5|9-5n|-7=38 how do I solve this

Marina86 [1]

n has 2 solutions here

n is equal to 0 and 3.6

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2 years ago

A group of fitness club members lose a combined total of 28 kg in one week there approximately 2.2 pounds and 1 kg assuming the

Akimi4 [234]

Answer:

8.8 pounds

Step-by-step explanation:

There are 7 days in a week, so the daily loss was ...

(28 kg)/(7 days) = 4 kg/day

In pounds, that is about ...

(4 kg/day)(2.2 lb/kg) = 8.8 lb/day

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2 years ago