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3 years ago

Find the sum. Write the answer in simplest form. 1/4 + 1/5

Mathematics

2 answers:

bagirrra123 [75]3 years ago

7 0

Answer:

9/20

Step-by-step explanation:

Step 1:

1/4 + 1/5

Step 2:

5/20 + 4/20

Answer:

9/20

Hope This Helps :)

Nonamiya [84]3 years ago

5 0

Answer

9/20

Step by Step

I got this by turning the 1/4 into a 5/20 and then turned the 1/5 into a 4/20 and then added from there

5/20+4/20=9/20

You have to turn the fractions denominator into the same number by finding the lowest common denominator.

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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:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

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

Which equation represents a quadratic function?

Elena-2011 [213]

Quadratic is where the degree of x is 2
I would think 3 is the one that might have been written as y=x² which would be correct

8 0

3 years ago

What is the number whose 4/5 is 144?

anyanavicka [17]

Answer:

180

Step-by-step explanation:

Multiply 144 by the reciprocal of $\frac{4}{5}$ , that is

The reciprocal of $\frac{4}{5}$ is $\frac{1}{\frac{4}{5} }$ = $\frac{5}{4}$ , then

$\frac{5}{4}$ × 144 = $\frac{5(144)}{4}$ = 180

3 0

3 years ago

Can anyone help with either one of these

Vlada [557]

slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)

Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5

therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58

answer: y=5x-58

Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3

Therefore:
y-0=1/3(x-0)
y=x/3

answer: y=x/3

4 0

3 years ago

Is this a function or no

aev [14]

Answer: Yes it is a function

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers