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aalyn [17]
2 years ago
5

Violet knows that her subscription rate for the basic tier of cable television increased from $18.20 to $19.50 at some point dur

ing the calendar year. She paid a total of $230.10 for the year to the cable company. Determine the month of the rate
Mathematics
1 answer:
mezya [45]2 years ago
7 0
The 2 equations are
18.20x+19.50y=230.10
and
x+y=12
where x is the months of original cost and y is months for new cost. Since you know that you paid for one year (12 months) you can make the second equation. Then you want to substitute the first equations x by making the second equation
x=(12-y)
18.20(12-y)+19.50y=230.10
218.40-18.20y+19.50y=230.10
1.30y=11.70
y=9
so that means you had the original rate for 3 months and the new one for 9 months
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The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be
densk [106]

Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97.  But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions.  This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

6 0
3 years ago
Find the value of x if a rectangle has a perimeter of 154 cm with a length of 18 cm and a width of 2x cm
scZoUnD [109]

Answer:

X = 59

Step-by-step explanation:

2 × 59 = 118

18 + 18 + 59 + 59 = 154

8 0
3 years ago
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larisa86 [58]
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Using a formula estimate the body surface area of a person whose height is 150 cm and who weighs 80 kg.
ladessa [460]

Answer:

B. 1.83\text{ m}^2

Step-by-step explanation:

We are asked to find the body surface area of a person whose height is 150 cm and who weighs 80 kg.

\text{Body surface area}( m^2)=\sqrt{\frac{\text{Height (cm)}\times \text{Weight (kg)}}{3600}}

Substitute the values:

\text{Body surface area}( m^2)=\sqrt{\frac{150\text{ cm}\times 80\text{(kg)}}{3600}}

\text{Body surface area}( m^2)=\sqrt{\frac{12,000}{3600}}

\text{Body surface area}( m^2)=\sqrt{3.3333333}

\text{Body surface area}( m^2)=1.825741

\text{Body surface area}( m^2)=1.83

Therefore, the body surface area of the person would be 1.83 square meters.

7 0
3 years ago
What is the quotient of 8,187 ÷ 24?
adell [148]

Answer:

341.125

Step-by-step explanation:

8187/24

341.125

7 0
3 years ago
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