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3 years ago

Multiply: (2x − 3)(x^2 + 4x − 3)

Mathematics

2 answers:

mafiozo [28]3 years ago

6 0

The answer is going to be A

krok68 [10]3 years ago

4 0

The answer is going to be A

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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

An airplane flies 2700 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?

fenix001 [56]

Answer:

720 MPH

Step-by-step explanation:

2700 miles / 3.75 hours = 720 MPH

6 0

3 years ago

Read 2 more answers

A pair of shoes is currently priced at $55.00. If the store manager marks it down to $22.00, by what percent did he mark down th

telo118 [61]

Answer:

60%

Step-by-step explanation:

55 - 22 = 33

33/55 = 0.6

0.6*100 = 60%

6 0

3 years ago

triangular park ABC has sides 3 m, 5 m, and 6 m. a gardener ravi wants to put a fence all around it and also plant grass inside.

Mariana [72]

Step 1) Check if the given triangle lengths form a right triangle

3^2 + 5^2 = 6^2

9 + 25 = 36

36 = 36

Step 2) Solve for the area of the triangle

Formula: A = 1/2 x base x height

A = 1/2 x 3 x 5

A = 1/2 x 15

A = 7.5 m^2

Step 3) Solve for the perimeter of the triangle

Formula: P = sum of all sides

P = 3 + 5 + 6

P = 14 m

Ravi needs to plant 7.5m^2 of grass and put up a fence that is 14m in total length.

Hope this helps!! :)

7 0

3 years ago

Please help me. This is due tomorrow

IRISSAK [1]

The picture is upside down my dude, delete the question, re-upload it and ill help you out.

3 0

2 years ago

Read 2 more answers