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2 years ago

PLZ HELP!!!!!!!!! DUE TODAY

Mathematics

2 answers:

Mama L [17]2 years ago

8 0

A. It represents the amount of water currently in the bottle
b.

Feliz [49]2 years ago

5 0

It represents the ounces in the water bottle without water in it

explanation:
x= the amount of water currently in the bottle
24 ounces= the total amount the bottle can hold

So the
total amount - the water currently in the bottle = essentially the leftover ounces the bottle can hold without water in it

hope that makes sense

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Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.

Triss [41]

F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
(f + g)(x) = 2x² + 4x + (-1 + 3)
(f + g)(x) = 2x² + 4x + 2
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
  (f - g)(x) = 4x + 1 - 2x² - 3
(f - g)(x) = -2x² + 4x + 1 - 3
(f - g)(x) = -2x² + 4x - 2
Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
(g - f)(x) = 2x² + 3 - 4x + 1
(g - f)(x) = 2x² - 4x + 3 + 1
(g - f)(x) = 2x² - 4x + 4
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
(f · g)(x) = 8x³ + 12x + 2x² + 3
(f · g)(x) = 8x³ + 2x² + 12x + 3
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. $(\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}$
Domain: 2x² + 3 ≠ 0
- 3 - 3
2x² ≠ 0
2 2
  x² ≠ 0
x ≠ 0
(-∞, 0) ∨ (0, ∞)

6. $(\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}$
Domain: 4x - 1 ≠ 0
+ 1 + 1
4x ≠ 0
4   4
x ≠ 0
  (-∞, 0) ∨ (0, ∞)

6 0

3 years ago

lana66690 [7]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which value is a solution of the inequality -x + 5 < 7? (SELECT ALL THAT\ APPLY)

Varvara68 [4.7K]

Answer:

5,7,-1

Step-by-step explanation:

5) -5+5<7=0<7 TRUE

7)-7+5<7=--2<7 TRUE

-1)-(-1)+5<7=6<7 TRUE

-3)-(-3)+5<7=8<7 FALSE

-2)-(-2)+5<7=7<7 FALSE

8 0

2 years ago

For the given hypothesis test, determine the probability of a Type II error or the power, as specified. A hypothesis test is to

erica [24]

Answer:

the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251

Option A) is the correct answer.

Step-by-step explanation:

Given the data in the question;

we know that a type 11 error occur when a null hypothesis is false and we fail to reject it.

as in it in the question;

obtained mean is 9.8 which is obviously not equal to 8.3

But still we fail to reject the null hypothesis says mean is 8.3

Hence we have to find the probability of type 11 error

given that; it is right tailed and o.5, it corresponds to 1.645

z is equal to 1.645

z = (x-μ)/ $\frac{S}{\sqrt{n} }$

where our standard deviation s = 3.8

sample size n = 50

mean μ = 8.3

we substitute

1.645 = (x - 8.3)/ $\frac{3.8}{\sqrt{50} }$

1.645 = (x - 8.3) / 0.5374

0.884023 = x - 8.3

x = 0.884023 + 8.3

x = 9.18402

so, by general rule we will fail to reject the null hypothesis when we will get the z value less than 1.645

As we reject the null hypothesis for right tailed test when the obtained test statistics is greater than the critical value

so, we will fail to reject the null hypothesis as long as we get the sample mean less than 9.18402

Now, for mean 9.8 and standard deviation 3.8 and sample size 50

Z = (9.18402 - 9.8)/ $\frac{3.8}{\sqrt{50} }$

Z = -0.61598 / 0.5374

Z = - 1.1462 ≈ - 1.15

from the z-score table;

P(z<-1.15) = 0.1251

Therefore, the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251

Option A) is the correct answer.

8 0

2 years ago

Negative nine times the sum of a number and eighteen

bekas [8.4K]

-9(n+18) is the answer

5 0

3 years ago