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Orlov [11]
2 years ago
14

Ashley received a $24 discount on a radio she bought for $98.00. What is the percent of discount she saved?

Mathematics
2 answers:
katrin [286]2 years ago
4 0

Answer:

24.49

Step-by-step explanation:

Lyrx [107]2 years ago
4 0

Answer:

24.489%, but most of the time they only go to 2 decimal places so 24.49%

Step-by-step explanation:

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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
What is the difference between the mean and the median of the data set?
Pepsi [2]
As you probably know there is a difference between mean and median -- the mean acts as a measure of the average, and on the other hand median measures the middle number. The median in this is 15 and the mean is also 15.
4 0
3 years ago
Brainliest? :(
Svetlanka [38]

Answer:

(f\cdot g)(x)=2x^2+10x+12

(f-g)(x)=-x-1

(f+g)(1)=10

Step-by-step explanation:

\tt f(x)=x+3

\tt g(x)=2x+4

(f\cdot g)(x)=f(x)\cdot g(x)=(x+3)(2x+4)=2x^2+4x+6x+12

=2x^2+10x+12

(f-g)(x)=f(x)-g(x)=x+3-(2x+4)=x+3-2x-4

=-x-1

(f+g)(1)=f(1)+g(1)=1+3+2(1)+4

=4+2+4=10

~

7 0
2 years ago
To legally drive a off-road vehicle, your age, a, must be 13 or over. Which of the following inequalities represents this senten
seropon [69]

Answer:

1.

Step-by-step explanation:

The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).

7 0
3 years ago
Read 2 more answers
Pleaseeeee someone help due at 10 pm today!<br> 2x^2-x+1=0
hammer [34]

Answer:

No real solutions!!! That is the answer.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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