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3 years ago

8

The function, f(x)=45/x models the volume of a gas in a balloon under xx units of pressure at a constant temperature. Which best

describes the domain of f(x) ?

1 answer:

JulijaS [17]3 years ago

3 0

My guess will be postive real numbers since pressure can not be negative or imaginary but can be a fraction or irrational

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What was the original cost of the jacket.

True [87]

Answer:

(c) $80

Step-by-step explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

<u>5% disount</u>: (1 -5%)·p = $76 . . . . where p is the original price

p = $76/0.95 = $80 . . . . . . . the original price

<u>10% discount</u>: (1 -10%)·p = $72

p = $72/0.90 = $80

<u>25% discount</u>: (1 -25%)·p = $60

p = $60/0.75 = $80

_____

<em>Additional comment</em>

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

add back that 5% to the 5%-discounted price: $76 +4 = $80
multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.

5 0

2 years ago

NEED THIS NOW! CAN SOMEONE PLEASE FUDGING HELP ME!!

aliina [53]

(81-15)÷6=
66÷6=11
ur answer is 11

8 0

3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The significance level is 0.05.</em>

<em>The data is:</em>

<em>Brand X: 91, 100, 88, 89</em>

<em>Brand Y: 99, 96, 94, 99</em>

<em>Brand Z: 83, 88, 89, 76</em>

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

Mr. Fernandez uses 7 boards that are 4 feet long and 6 inches wide to make on bookshelf. If he buys lumber in lengths of 8 feet

True [87]

Bookshelf =7boards each
Lumber=4 boards each
He wants to make 5 bookshelves total
5x7=35
So he needs 35 boards
And each lumber makes 4 boards
So what number times 4 is equal to or more than 35?

9times 4 is 36

So he needs 9 pieces of lumber to make 5 bookshelves.

Good luck with your work! Brainliest would be appreciated :)

3 0

3 years ago

Solve the equation for y in terms of x, and replace y with function notation f(x). Then find f(2).

stealth61 [152]

Answer:

f(2)=-15

Step-by-step explanation:

y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.

7 0

4 years ago