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3 years ago

Which answer best describes the solution to the equation

Mathematics

2 answers:

tatiyna3 years ago

8 0

5z+4=4+5z has an indefinite amount of solutions.

SCORPION-xisa [38]3 years ago

3 0

4 + 5z = 5z + 4 is an identity and is true for all values of z.

The equation has, therefore, infinitely many solutions.

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Start time 6:57pm elasped time 47 min

Talja [164]

7:44 pm would be correct

3 0

3 years ago

Which number can be classified as a terminating decimal number?

seropon [69]

0.1257 is a terminating decimap

3 0

3 years ago

How do you write 10 to the power of 3 in word form

AysviL [449]

Answer:

I believe that it would be 10^3. (10x10x10)

Sorry if I'm wrong I'm just a little confused with the question you asked :/

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:

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

How many kilograms are equal to 3,200 grams?

oksian1 [2.3K]

Answer:

3.2

Step-by-step explanation:

1000 grams in a kilogram

3200/1000=3.2

5 0

3 years ago

Read 2 more answers