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3 years ago

The following table shows the expressions that represent the sales of 4 companies:

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

Answer: C. B, A, C, D

Step-by-step explanation:

We know that the exponential growth function is represented by :-

$A(1+r)^x$ , where r is the growth rate.

The exponential decay function is represented by:-

$A(1-r)^x$ , where r is the decay rate.

Now for Company A the sales function= $340(1.03)^x=340(1+0.03)^x$

⇒ It is a growth function with growth rate 0.03 or 3 %.

For Company B the sales function= $275(0.89)^x=275(1-0.11)^x$

⇒ It is a decay function with decay rate 0.11 or 11 %.

Similarly for Company C, there is growth rate of 0.23 or 23% and for Company D, there is growth rate of .90 or 90 %

Thus, the rank according to the sales by smallest to largest percent of increase will be B, A, C, D

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Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

$\rm Altitude = \sqrt{xy}$

Where x is DC and y is 5 units.

Then,

The length DC is.

$\rm Altitude = \sqrt{xy}\\
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12 = \sqrt{(DC) \times 5}\\
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\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\
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Squaring on both sides

$\rm DC = \dfrac{144}{5}\\
\\
DC = 28.8$

Considering right triangle BDC, use the Pythagorean theorem to find BC:

$\rm BC^2 = DC^2+BD^2\\\\ BC^2 = (28.8)^2+(12)^2\\

\\
BC = \sqrt{829.44+144}\\
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BC = \sqrt{973.44}\\
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\rm BC = 31.2 \ units$

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

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2 years ago

A business owner collected data on the people working for her company. She determined the average number of minutes each employe

Naddika [18.5K]

Answer:

The comparison using median and IQR is best because one of the graphs is not symmetrical.<em> </em>

Step-by-step explanation:

The following information is missing

<em>A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48. </em>

<em>A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48. </em>

<em>The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison? </em>

<em>The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric. </em>

<em>The comparison would be more accurate using the mean and MAD because the median of both data sets is the same. </em>

<em>The comparison using median and IQR is best because one of the graphs is not symmetrical. </em>

<em>The comparison using median and IQR is best because the median is greater than the IQR for both data sets.</em>

<em />

Mean and MAD are useful for comparison when both data sets are symmetrical.

In the women box plot the Q1 is at 34, the median is at 48, and the Q3 is at 50, so it is not symmetrical (the difference between the median and the Q1, and the Q3 and the median is not the same)

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4 years ago

The 2014 Community College Survey of Student Engagement (CCSSE) included a question that asked faculty how much of their coursew

Kisachek [45]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the courses emphasize memorizing facts, ideas or methods following the same distribution as before.

The variable of interest is

X: Opinion of students in how much of their coursework emphasized memorizing facts, ideas, or methods. Categorized: 1_"Very little", 2_" Some", 3_" Quite a bit" and 4_"Very much"

It is known for a survey made in 2014 that the percentages for each category are: 1_Very little: 21.5%, 2_Some: 33.7%, 3_Quite a bit: 27.7% and 4_Very much: 17.1%

To test if the current situation follows the same distribution as the historical data (from 2014) you have to conduct a Goodness to Fit Chi-Square test.

The hypotheses are:

H₀: P₁= 0.215; P₂= 0.337, P₃= 0.277 and P₄= 0.171

H₁:

α: 0.01

$X^2= sum[\frac{(O:i-E_i)^2}{E_i} ]~~X^2_{k-1}$

k= number of categories of the variable.

This test is always one-tailed (right), which means that you will reject the null hypothesis to high values of X² (when the observed and expected frequencies for each category are too different)

The critical value is:

$X^2_{k-1;1-\alpha }= X^2_{3;0.99}= 11.345$

You will reject the null hypothesis if $X^2_{H_0} \geq 11.345$

You will not reject the null hypothesis if $X^2_{H_0} < 11.345$

Before calculating the statistic under the null hypothesis, you have to calculate the expected value for each category following the formula:

$E_i= n*P_i$

n= 400

E₁= n*P₁= 400*0.215= 86

E₂= n*P₂= 400*0.337= 134.8

E₃= n*P₃= 400*0.277= 110.8

E₄=n*P₄= 400*0.171= 68.4

The observed frequencies are:

O₁= 39

O₂= 139

O₃= 148

O₄= 74

$X^2_{H_0}= (\frac{(39-86)^2}{86} )+(\frac{(139-134.8)^2}{134.8} )+(\frac{(148-110.8)^2}{110.8} )+(\frac{(74-68.4)^2}{68.4} )= 38.76$

As said before, this test is one-tailed to the right (always) and so is its p-value:

P(X₃²≥38.76)= 1 - P(X²₃<38.76)= 1 - 1 ≅ 0

p-value < 0.00001

Using both approaches (p-value and critical value) the decision is to reject the null hypothesis.

With a level of significance of 1% the decision is to reject the null hypothesis, then the actual courses do not emphasize the memorization of facts, ideas, and methods following the historical percentages.

I hope this helps!

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4 years ago

So im in 4th grade and i need help with this question what is 4+4x6+3+9{9+89}x3 thanks for helping if you can

serg [7]

Answer:

2667

Step-by-step explanation:

4+4x6+3+9{9+89}x3 = 2667

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3 years ago

Can somebody please help meee out ?? I don’t understand this .

borishaifa [10]

Answer:

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Step-by-step explanation:

So the slope intercept form is 3/2 and the points are (-5,3) and (-1,-3)

y intercept form is y=mx+b.

I hope one of those helps

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3 years ago

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