A sample of 120 creative artists is used to test whether creative artists are equally likely to have been born under any of the twelve astrological signs. Assuming that the twelve astrological signs each contain an equal number of calendar days, the expected frequency for each category equalsa) 5
b) 10
c) 12
d) 120

Answer:

D.  4

Step-by-step explanation:

If he leaves the science assignments for the next day, he will spend zero hours on science assignments.  This means that y is equal to 0.  Plug this into the given equation and solve for x.

2x + y = 8

2x + 0 = 8

2x = 8

x = 4

Gerald can complete 4 math assignments.

Answer:

b. null hypothesis cannot be rejected.

Step-by-step explanation:

At the 5% level of significance, the conclusion of the test is that the

The test statistic is 2 and the critical value is 7.815. Since the test statistic is less than the critical value, we can not reject the null hypothesis.

Answer:

A. is your answer

Answer:

a half is 1/2 = 0.5

10 perecent ⇒ (0.5*10)/100= 0.05

the percentage of 19⇒ (19*100)/20 = 95 percent

What is 10% of a half?

= 0.05

10% of 0.5 is 0.05.

Divide 0.5 by 10 and move the decimal point one place to the left.

---------------------------

What percentage of 20 is 19?

= 95%

Convert the fraction

Steps:

19/20 =

19 divided by 20 =

0.95

0.95 x 100/100 =

0.95 x 100% =

(0.95 x 100)% =

95%

Answer:

The degrees of freedom are given by:

[tex] df =n-1= 15-1=14[/tex]

And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:

[tex] \chi^2 = 7.790[/tex]

And then the best answer would be:

c. 7.790

Step-by-step explanation:

For this case we know that we are using a one tailed (lower tail) critical value using a significance level of [tex]\alpha=0.1[/tex] and for this case we know that the ample size is n=15. The degrees of freedom are given by:

[tex] df =n-1= 15-1=14[/tex]

And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:

[tex] \chi^2 = 7.790[/tex]

And then the best answer would be:

c. 7.790

Answer:

m = rise /run = (y2-y1)/(x2-x1)

Step-by-step explanation:

In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run.

Answer: Run is the horizontal change between two points on a line.

Step-by-step explanation:

Answer:

a) P(x=3)=0.089

b) P(x≥3)=0.938

c) 1.5 arrivals

Step-by-step explanation:

Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.

The variable X is modeled by a Poisson process with a rate parameter of λ=6.

The probability of exactly k arrivals in a particular hour can be written as:

[tex]P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k![/tex]

a) The probability that exactly 3 arrivals occur during a particular hour is:

[tex]P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\[/tex]

b) The probability that at least 3 people arrive during a particular hour is:

[tex]P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938[/tex]

c) In this case, t=0.25, so we recalculate the parameter as:

[tex]\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5[/tex]

The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.

[tex]E(x)=\lambda=1.5[/tex]

Answer:

7a+2b-3c

Step-by-step explanation:

6a+a = 7a

2b stays the same

-3c stays the same

Answer:

Hey mate, here is your answer. Hope it helps you.

7a-3c+2b

Step-by-step explanation:

6a+a-3c+2b

=7a-3c+2b

3c and 2b will be the same because the variables are different. They are not like terms.

Answer:

The number of hours Jackie worked  = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y  per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

Answer:

Option D is correct.

The 31% would be considered an example of inferential statistics.

Step-by-step explanation:

Complete Question

Based on past experience, it is predicted that 31% of registered voters in Oklahoma will vote in the next primary. The 31% would be considered an example of:

A) Qualitative data

B) Descriptive statistics

C) A sample

D) Inferential statistics

Solution

Taking the options one at a time.

- Qualitative data is a dataset where the members of the dataset are grouped or represented according to some categorical condition or property. It is also called categorical data. It is normally non-numerical in nature. This is obviously not the correct answer.

- Descriptive Statistics are brief or summary statistics that summarize a given data set. Descriptive statistics are broken down into measures of central tendency and measures of dispersion or variability (the spread of the distribution about the mean). The 31% is a prediction using past datasets, it isn't a descriptive statistic to summarize all that is in the current dataset.

- A sample is a dataset that consists of variables picked from the population distribution. It is a smaller set of variables usually extracted from the population. This is also not the answer.

Inferential Statistics uses results from the past datasets or dataset using some other condition to obtain a predicted statistic for a current dataset or the dataset given current conditions.

From the question, the results from the old dataset (based on past experiences), is used to predict some statistic (percentage of registered voters in Oklahoma who will vote in the next primary). It is evident that this is the answer; 31% prediction for registered voters in Oklahoma will vote in the next primary, was made using past experience. Inferential Statistic.

Hope this Helps!!!

Answer:

a) 77.3-73/10.7= 0.40187

b) 62.9-66.8/10.8= -0.36111

c) Kylie did relatively better

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

This is a function because all of the numbers have a partner, and none of them have more than one.

                                    Example of Not a Function

Function                                Not a Function

-4 to 5                                       -4 to 5                             <

9 to 7                                       -4 to 3                              <

13 to 3                                       13 to 3                              ^

-7 to 5                                        9 to 7                               ^

                                                 -7 to 5                               ^

                                           Not a Function because of this

Answer:

Correct!

Step-by-step explanation:

-5(x+8)=-25

x+8=5

x=-3

Answer:

here, -5(x+8)=-25

or, -5x +(-40)= -25

or, -5x=-25+40

or, x= 15/-5

therefore the value of x is -3....ans..

hope u understood..

Answer:

Length = 29 m

Width = 29 m

Step-by-step explanation:

Let x and y be the length and width of the rectangle, respectively.

The area and perimeter are given by:

[tex]A=xy\\p=116=2x+2y\\y=58-x[/tex]

Rewriting the area as a function of x:

[tex]A(x) = x(58-x)\\A(x) = 58x-x^2[/tex]

The value of x for which the derivate of the area function is zero, is the length that maximizes the area:

[tex]A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m[/tex]

The value of y is:

[tex]y = 58-29\\y=29\ m[/tex]

Length = 29 m

Width = 29 m

Answer:

Solution,

[tex](5x + 1)(2x - 1)(2x - 3)[/tex]

[tex] = 5x(2x - 1) + 1(2x - 1) \times (2x - 3) \\ = (10 {x}^{2} - 5x + 2x - 1)(2x - 3) \\ = (10 {x}^{2} - 3x - 1)(2 x - 3) \\ = 10 {x}^{2} (2x - 3) - 3x(2 x - 3) - 1(2x - 3) \\ = 20 {x}^{3} - 30 {x}^{2} - 6 {x }^{2} + 9x - 2x + 3 \\ = 20 {x}^{3} - 36 {x}^{2} + 7x + 3[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

1/11

Step-by-step explanation:

Answer:

B. g(x) = (x-2)^2 +1

Step-by-step explanation:

When you see this type of equation your get the variables H and K in a quadratic equation. In this case the (x-2)^2 +1  is your H. The (x-2)^2 +1 is your K.

For the H you always do the opposite so in this case instead of going to the left 2 times you go to the right 2 times (affects your x)

For the K you go up or down which in this case you go up one (affects your y)

And that's how you got your (2,1) as the center of the parabola

-Hope this helps :)

Answer:

3y = 9x

Y= 3x

-3x+y = 8

Y= 3x +8

Step-by-step explanation:

Y= 3x+5

To determine the Line parallel to the above line equation, we have to recall the principle of parallel line .

From principal of parallel line.

M= m'

Means the gradient of the both equation will be equal.

From the above equation.

The gradient= 3

The gradient is the coefficient of x

Comparing to the options giving

Let's look for the options with the coefficient of x = 3

3y = 9x

Y= 3x........ number 1

-3x+y = 8

Y= 3x+8 ... number 2

Other equation will not give is a coefficient of 3

Answer:

-3x + y = 8

and

3y = 9x

Answer:

n = 55/8

Step-by-step explanation:

You can solve it by cross multiplying. Where you multiply the denominator of the fraction on the left side with the numerator on the right side, and vice versa.

11/n = 8/5

n x 8 = 11 x 5

8n = 55

n = 55/8

(or 6.875)

Answer:

[tex]\boxed{\pink{n = 7 \frac{3}{8} }}[/tex]

Step-by-step explanation:

[tex] \frac{11}{n} = \frac{8}{5} \\ [/tex]

Use cross multiplication

[tex]11 \times 5 = 8 \times n \\ 55 = 8n \\ \frac{55}{8} = \frac{8n}{8} \\ n = 7 \frac{3}{8} [/tex]

Answer:

Hey there!

15/k, when k=3

15/3=5

Answer:

5

Step-by-step explanation:

its a simple as 15/3 = 5

have fun

Answer:

Step-by-step explanation:

A graphing calculator can perform logarithmic regression, as can a spreadsheet. The least-squares best fit log curve is about ...

  y ≈ 33.7·ln(x) -45.9

The value of x estimated to make y = 5.2 is about 4.6.

Answer:

[tex] \boxed{\sf Radius \ of \ circle = 18 \ ft} [/tex]

Given:

Circumference of a circle = 36π feet

To Find:

Length of the radius of circle (r).

Step-by-step explanation:

[tex] \sf \implies Circumference \: of \: a \: circle =2\pi r \\ \\ \sf \implies 36 \cancel{\pi} = 2 \cancel{\pi }r \\ \\ \sf \implies \frac{36}{2} = \frac{ \cancel{2}r}{ \cancel{2}} \\ \\ \sf \implies \frac{36}{2} = r \\ \\ \sf \implies r = \frac{36}{2} \\ \\ \sf \implies r = \frac{18 \times \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies r = 18 \: ft[/tex]

Answer:

Option D - Will not be rejected at the 0.05 level.

Step-by-step explanation:

The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.

Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.

Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.

Thus, looking at the options, we will not reject at 0.05 significance level.

Answer:

Mia:10 Maya:5 Maria:3

Step-by-step explanation:

3+7= 10= Mia's age

10÷2=5= Maya's age

Answer:

Mia - 10

Maya - 5

Maria - 3

Answer:

The answer is "Option A"

Step-by-step explanation:

The valid linear programming language equation can be defined as follows:

Equation:

[tex]\Rightarrow \ Min\ 4x + 3y + (\frac{2}{3})z[/tex]

The description of a linear equation can be defined as follows:

It is an algebraic expression whereby each term contains a single exponent, and a single direction consists in the linear interpolation of the equation.

Formula:

[tex]\to \boxed{y= mx+c}[/tex]

Answer:

Cluster sampling

Step-by-step explanation:

Cluster sampling refers to the sampling that is used in market analysis. It is used when a researcher can not obtain information as a whole for the population but may obtain information through the groups or clusters

In the given case since andrew divides the residents through regions so this reflected the cluster sampling method

Answer:

[tex] \mu = 23.33, \sigma =6.13[/tex]

And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:

[tex] z=\frac{X -\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{33.44 -23.33}{6.13}= 1.649[/tex]

We know that the proportion of area beyond the Z score associated with this age is  .05 so then the percentile would be: 95

Step-by-step explanation:

For this case we have the following parameters:

[tex] \mu = 23.33, \sigma =6.13[/tex]

And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:

[tex] z=\frac{X -\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{33.44 -23.33}{6.13}= 1.649[/tex]

We know that the proportion of area beyond the Z score associated with this age is  .05 so then the percentile would be: 95

Answer:

since order of songs matter in a concert as well, every scenario of the 5 songs being played in different order will be a different scenario.

so, we will permute 5 from 9.

9!/4!

15120 different scenarios