50 points decreased by 26% is how many points?

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 40' Building Als 120 feet away, and b

-BARSIC- [3]

Answer:

A. Building A, it is around 100.69 feet taller than building B.

Step-by-step explanation:

Since building A is 120 feet away at and elevation of $40^{0}$ , then:

Tan $40^{0}$ = $\frac{x}{120}$

Where x is the height of the building at the horizontal plane.

x = Tan $40^{0}$ × 120

= 100.692 feet

For building B at the same elevation,

Tan $40^{0}$ = $\frac{x}{60}$

x = Tan $40^{0}$ × 60

= 50.346 feet

Since the angle of elevation are the same, building A is around 100.69 feet taller than building B.

5 0

1 year ago

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What is the formula to find alpha square minus beta square?<br>I need help in Q 1)(i).

marta [7]

(I) Alpha+Beta= 2
Alpha-Beta= √D/|a|= √10

Alpha^2 - Beta^2
=(Alpha+Beta) (Alpha-Beta)
= 2* √10
= 2√10

3 0

2 years ago

Which graph represents a function with direct variation? A coordinate plane with a U shaped line graphed with the minimum at (0,

Mars2501 [29]

Answer:

a line passing through (negative 4, 2), (0, 0) and (4, negative 2).

Step-by-step explanation:

A function exhibiting direct variation MUST pass through the origin, (0, 0), and the graph must be a straight line. The answer that satisfies these requirements is

a line passing through (negative 4, 2), (0, 0) and (4, negative 2).

7 0

1 year ago

You are purchasing 2 shirts at $10.00 (each) and 1 pair of jeans at $35.00 (each). You have a coupon for 10% off. How much is th

ryzh [129]

49.50 because you take 35 plus 20 which equals 55, then subtract 10% and you get 49.5 so I then added a zero and got 49.50

6 0

2 years ago

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Consider the following random sample from a normal population: 14, 10, 13, 16, 12, 18, 15, and 11. What is the 95% confidence in

seraphim [82]

Answer:

$13.625-2.365\frac{2.669}{\sqrt{8}}=11.393$

$13.625+2.365\frac{2.669}{\sqrt{8}}=15.857$

So on this case the 95% confidence interval would be given by (11.393;15.857)

Step-by-step explanation:

Previous concepts

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".

Data: 14, 10, 13, 16, 12, 18, 15, 11

We can calculate the sample mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=13.625$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.669 represent the sample standard deviation

n=8 represent the sample size

Calculate the confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=8-1=7$

Since the confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,7)".And we see that $t_{\alpha/2}=2.365$

Now we have everything in order to replace into formula (1):

$13.625-2.365\frac{2.669}{\sqrt{8}}=11.393$

$13.625+2.365\frac{2.669}{\sqrt{8}}=15.857$

So on this case the 95% confidence interval would be given by (11.393;15.857)

3 0

1 year ago