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3 years ago

Identify sin Y as a fraction and as a decimal rounded to the nearest hundredth. Please help!

Mathematics

1 answer:

jeka943 years ago

3 0

<h3>Answer: Choice B</h3>

Explanation:

You divide the opposite side over the hypotenuse to compute the sine ratio of the angle. If angle Y is the reference angle, then side XZ = 7.4 is the opposite side and YZ = 10.9 is the hypotenuse (always opposite the 90 degree angle).

Therefore,

sin(Y) = opposite/hypotenuse

sin(Y) = 7.4/10.9

sin(Y) = 0.678899

sin(Y) = 0.68

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A dealer gains 16% by selling a mop for rs.78300.but due to competition in the market, he decides to make a profit of only 10%.

vesna_86 [32]

Answer:

The correct answer is - 72,349.2

Step-by-step explanation:

Given:

selling price = 7234.92

Initial profit = 16%

we know:

selling price = cost price + profit

Solution:

78300 = cp + 16*cp/100

profit = 78300*16/100 = 12528

cost price = 78300 - 12528 = 65772

then the profit on 10%

= 65772*10/100

= 6577.2

the new selling price = 65772+6577.2

= 72,349.2

3 0

3 years ago

3(4x+1)+6(x-3)<br><br><br>I need help with this

SVETLANKA909090 [29]

If you simplify the expression you will get 18x - 15.

8 0

2 years ago

Read 2 more answers

A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran

mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

$X=48$ number of vehicles classified as sports utility.

$n=500$ random sample taken

$\hat p=\frac{48}{500}=0.096$ estimated proportion of vehicles classified as sports utility vehicles.

$p$ true population proportion of vehicles classified as sports utility vehicles.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be given by this formula :

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.5=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070$

$0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121$

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0

3 years ago

A cube has a volume of 343 cubic cm. What is the area of the base

Amanda [17]

Answer:

49 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ← s is the length of the side, thus

s³ = 343 ( take the cube root of both sides )

s = $\sqrt[3]{343}$ = 7, thus