Which hyperbola has one focus point in common with the hyperbola (y+11)^2/(15^2)-(x-7)^2/(8^2)=1

Leto [7]

A shelled, water-retaining egg with four membranes that enables reptiles, birds, and egg-laying mammals to complete their life cycles on dry land.

5 0

3 years ago

Winston goes to the store and buys a garden statue for $30. The store has sales tax rate of 5%. How much tax will Winston have t

Over [174]

Answer: 31.50

Step-by-step explanation: 30$ = 3,000 cents, 5 percent of 3,000 = 150 cents, 150 cents = 1.5$

1.50 + 30.00 = 31.50

im not good at decimals sorry if this is wrong ;_;

4 0

3 years ago

According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City

Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, $H_0$ : $\mu$ $\leq$ 3 {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, $H_1$ : $\mu$ > 3 {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

T.S. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean time = 2.5 hours per week

$s$ = sample standard deviation = 0.09 hours

n = sample size = 19

So, <u>test statistics</u> = $\frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } }$ ~ $t_1_8$

= -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

8 0

3 years ago

AA, SAS, SSS or not similar ?

Mariana [72]

Answer:

SSS

Step-by-step explanation:

KN / PD = 54/24 = 2.25

KB / PF = 49.5/22 = 2.25

BN / DF = 40.5/18 = 2.25

ΔKBN ~ PDF (SSS) : two triangles are similar, their corresponding sides are in equal proportion.

6 0

3 years ago

A car was valued at $44,000 in the year 1993. The value depreciates to $15,000 by year 2002.

almond37 [142]

Answer:

The car will have lost it's total value by 2007.

Step-by-step explanation:

If initially the car was valued at 44,000$, and after 9 years it's value dropped to 15,000$, we can say that the car's value dropped in 29,000$. If we suppose that the drop is the same every year, we can say that it was of 3,222,2$ by each year.

This amount of money is the 7,3% of the initial value of the car (I multiplied 3,222,2 x 100 : 44,000).

a) The annual rate of change was of 7,3%.

b) There are 14 years between 1993 and 2007. If we multiply 7,3% by 14, we get that the car lost 102,2% of it's initial value.

8 0

3 years ago

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