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max2010maxim [7]
1 year ago
12

X^2/81 + y^2/64 = 1 The major intercepts are at (±9, 0) (±8, 0) (0, ±9)

Mathematics
1 answer:
Inessa [10]1 year ago
4 0

Answer:

Step-by-step explanation:

Your question is unclear. What are "major intercepts"?

x²/81 + y²/64 = 1

The major axis is horizontal.

0²/81 + y²/64 = 1

y-intercepts = ±8

x²/81 + 0/64 = 1

x-intercepts = ±9

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A local cable company claims that the proportion of people who have Internet access is less than 63%. To test this claim, a rand
MaRussiya [10]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail 0.039

Thus

p = 0.039

7 0
2 years ago
The back of Monique’s property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen
gogolik [260]

Answer:

4050 sq. feet.

Step-by-step explanation:

Fencing is done on three sides of the rectangular area.

Given that there are 180 feet of fence available.

Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.

Now, the area of the plot is given by A = LW

Now, from equation (1), we ger A = L (180 - 2L) ..... (2)

Then differentiating with respect to L in the both sides we get,

\frac{dA}{dL} = 180 - 4L =0 {Since condition for Area to be maximum is \frac{dA}{dL}=0}

⇒ L = 45 feet.

Now, from equation (2), we have A_{max} =L(180-2L) = 45(180 - 90) =4050 square feet.

3 0
2 years ago
Someone help! you have 44 text messages in your inbox. How many messages can your cell phone hold? (and inbox is 88% full)
marin [14]
We can set up a proportion.

88% = 0.88

44/0.88 = x/1

Cross multiply:

0.88x = 44

Divide 0.88 to both sides:

x = 50

So your cell phone can hold 50 messages.
4 0
2 years ago
Read 2 more answers
R+5/mn=p solve for m
AnnZ [28]

Answer:

               \bold{m\ =\ \dfrac5{(p-r)n}}

Step-by-step explanation:

                                             \bold{r+\dfrac5{mn}\ =\ p}\\\\ {}\quad-r\qquad-r\\\\{}\ \ \bold{\dfrac5{mn}\ =\ p-r}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\quad\bold{5\ =\ (p-r)^{_\times}(mn)}\\\\\div(p-r)\quad\div(p-r)\\\\{}\ \ \bold{\dfrac5{p-r}\ =\ mn}\\\\{}\quad \ \div n\quad\ \ \div n\\\\\bold{\dfrac5{(p-r)n}\ =\ m}

If you mean (r+5)/mn then:

\bold{\dfrac{r+5}{mn}\ =\ p}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\ \bold{r+5\ =\ pmn}\\\\\div(pn)\quad\div(pn)\\\\{}\ \ \bold{\dfrac{r+5}{pn}\ =\ m}

4 0
2 years ago
A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final co
jok3333 [9.3K]

Answer:

Step-by-step explanation:

D is your answer

$56.18

6 0
2 years ago
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