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irakobra [83]
3 years ago
5

Tyron has a choice between two carpets that he likes equally well. One costs $12.50 per Square yard; the other costs $1.70 per s

quare foot. Which is the better buy?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

the better choice would be the first carpet ($12.50)

Step-by-step explanation:

1 square yard = 9 square feet

so if you turn them both into square yard measurement (9*1.70) it would be $15.30 for the second carpet and still 12.50 for the first carpet.

Therefore the better choice would be the first carpet ($12.50)

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erma4kov [3.2K]
Best Answer:  <span> 1.)
x^2 + y^2 = 30^2 since the radius is 30 ft
x^2 + y^2 = 900

2.)
Solving for y
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7 0
3 years ago
Read 2 more answers
You pick one card from a standard deck of 52 cards. What is the probability that the card will be a two?
Natali [406]

Answer:

4 out of 52 or simplified 2 out of 26

Step-by-step explanation:

There are 4 suites of cards, spades, hearts, clubs, diamonds and there is one card for two in each suite, so we therefore know that the probability of picking a two out of a 52 card deck will be four out of 52 or the simplified answer would be 2 out of 26. Hope this helps, have a great day!

3 0
4 years ago
Find BC please in the picture
tatiyna

B. 25 Km. The measure of BC is 25 km.

The easiest way to solve this problem is using the cosine theorem c = √a²+b²-2ab*cos A.

BC = √AC²+AB²-2(AC)(AB)*cos A

BC = √(21km)²+(14km)²-2(21km)(14km)*cos 89°

BC = √441km²+196km²-588km²*(0.017)

BC =√637km²-10.26km²

BC = √636.74km²

BC = 25.03km ≅ 25

7 0
3 years ago
The height of a tree, y, is related to the length of its shadow, x, by the equation y = kx. If a tree's height is 24 feet and it
Marta_Voda [28]

Answer:

The value of k is 8/3

Step-by-step explanation:

To find this, start with the base equation and input the values. Then solve for k.

y = kx

24 = k9

24/9 = k

8/3 = k

6 0
3 years ago
The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1
evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193

The 98% confidence interval for the population mean is (2146, 2193).

3 0
3 years ago
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