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3 years ago

Through (10, -7), slope: how do i solve this

Mathematics

1 answer:

Lerok [7]3 years ago

5 0

This is a graph with the point (10, -7) charted.

Hope this helps!!

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Farmer Ben has only ducks and cows. He can’t remember how many of each he has, but he doesn’t need to remember because he knows

Maru [420]

Answer:

12 cows - 48 legs

4 ducks- 8 legs

- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

6 0

3 years ago

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second. What

nevsk [136]

3.84 meters because 2% of 48 is 0.96, 0.96*4, which is 3.84

8 0

3 years ago

Help me with this problem that I'm stuck on!

jok3333 [9.3K]

                              4/(x+1) = 3/x + 1/15
Should we make common denominators with everything, we get
           4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)]
Multiply both sides of the equation by the denominator to cancel them
                                         60x = 45(x+1) + x(x+1)
                                         60x = 45x + 45 + x^2 + x
                       x^2 - 14x + 45 = 0
                           (x-9)(x-5) = 0
The answer to this question is that the solutions are x=9 and x=5.

6 0

3 years ago

Find the area of the triangle with A= 60° b=11 feet and c=8 feet

Rudik [331]

Answer:

5280

Step-by-step explanation:

if u times them all up first u get 60 times 11 witch = 660 and then i times 660 and 8 to get 5280

5 0

3 years ago

Each year, all final year students take a mathematics exam. It is hypothesised that the population mean score for this test is 1

Yuri [45]

Answer:

90% confidence interval for the population mean test score is [95.40 , 106.59]

Step-by-step explanation:

We are given that the population mean score for mathematics test is 115. It is known that the population standard deviation of test scores is 17.

Also, a random sample of 25 students take the exam. The mean score for this group is 101.

The, pivotal quantity for 90% confidence interval for the population mean test score is given by;

P.Q. = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, X bar = sample mean = 101

$\sigma$ = population standard deviation

n = sample size = 25

So, 90% confidence interval for the population mean test score, $\mu$ is ;

P(-1.6449 < N(0,1) < 1.6449) = 0.90

P(-1.6449 < $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.6449) = 0.90

P(-1.6449 * $\frac{\sigma}{\sqrt{n} }$ < ${Xbar-\mu}$ < 1.6449 * $\frac{\sigma}{\sqrt{n} }$ ) = 0.90

P(X bar - 1.6449 * $\frac{\sigma}{\sqrt{n} }$ < $\mu$ < X bar + 1.6449 * $\frac{\sigma}{\sqrt{n} }$ ) = 0.90

90% confidence interval for $\mu$ = [ X bar - 1.6449 * $\frac{\sigma}{\sqrt{n} }$ , X bar + 1.6449 * $\frac{\sigma}{\sqrt{n} }$ ]

= [ 101 - 1.6449 * $\frac{17}{\sqrt{25} }$ , 10 + 1.6449 * $\frac{17}{\sqrt{25} }$ ]

= [95.40 , 106.59]

Therefore, 90% confidence interval for the population mean test score is [95.40 , 106.59] .

7 0

3 years ago