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3 years ago

14

Please help me out :)

1 answer:

Vanyuwa [196]3 years ago

8 0

The angle between the legs labeled $x$ and $y$ is complementary to the angle with measure 31 degrees, so that angle has measure 90 - 31 = 59 degrees. Then

$\sin59^\circ=\dfrac{400}x\implies x=\dfrac{400}{\sin59^\circ}\approx466.7$

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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

Mr Hayes has 111 straw bundles to use for bedding In his horse stalls. What is the greatest number of stalls he can fill if each

finlep [7]

Answer: 27

Step-by-step explanation:

111/4= 27.75

7 0

3 years ago

Read 2 more answers

9. A granola recipe calls for 2 cups of

tigry1 [53]

Answer:

6 cups

Materials:

10 cups of almonds

2 batches

2 cups per batch

1 bag per batch

Left Over:

5 - 2 = 3

3 bags left over

2 bags used

6 cups left

7 0

3 years ago

Read 2 more answers

Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x

zvonat [6]

The general formula for exponential growth and decays is:

$y=y_0e^{kx}$

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

$y=\frac{1}{4}(\frac{1}{e})^{-2x}$

can be wrtten as:

$\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}$

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

$y=(\frac{1}{e})^{4x}$

can be written as:

$\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}$

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

$y=2e^{-x}+1$

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0

1 year ago

Simplify your answer as much as possible

Lilit [14]

X = 6
24 divided by 4 equals 6

4 0

3 years ago