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jonny [76]
3 years ago
15

Simplify. (-4x^4+x^2-4)+(5x^2-4)(−4x ​4 ​​ +x ​2 ​​ −4)+(5x ​2 ​​ −4)

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0
-4x^4 - 15x^2 + 1 - 19/x^2 is your answer

Hope I helped :)
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Jack drove 41 1/2 miles. He used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon ?
olasank [31]

Answer:

How  do I have the same problem as a high schooler when im in 6th grade

Step-by-step ex

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3 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
Suzanne made 2 gallons of punch to be divided equally among 10 people. How much punch did each person get
alexdok [17]
10 divided by 2= 5 Each person will get 5 punch
5 0
3 years ago
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Suppose you invest $1500 at an Annual interest rate of 5% compounded continuously. How much will you have in the account after 4
aleksklad [387]
So you know the compound continuously formula is A = Pe^{rt}. Thus, just plug in. A = (1500)e^{(.05)(4)} Plug that into your calc to get $1832.
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3 years ago
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9. Write an equation for the table in slope-
never [62]
The slope is going to be 1.6
So y = 1.6x - 5
6 0
3 years ago
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