Rachel recorded the number of calls she made at work during the week:

Day Calls
Monday 18
Tuesday 14
Wednesday 24
Thursday 16

She expected to make 18 calls each day. To answer whether the number of calls follows a uniform distribution, a chi-square test for goodness of fit should be performed. (alpha = 0.10)

chi squared equals begin inline style sum from blank to blank of end style fraction numerator left parenthesis O minus E right parenthesis squared over denominator E end fraction

What is the chi-squared test statistic?

Answers

Answer 1

The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.

What is the chi-squared test statistic?

Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.

The formula for the chi-squared test statistic is;

[tex]\sum \frac{(O_i-E_i)^2}{E_i } \\\\[/tex]

Where,

[tex]\rm O_i[/tex] is the observed value

[tex]\rm E_i[/tex] is the expected value

The chi-square test statics is;

[tex]\rm( \frac{18-18}{18} )^2 +( \frac{14-18}{18} )^2 + (\frac{24-18}{18} )^2+( \frac{16-18}{18} )^2 \\\\ 0+ \frac{16}{18}+ \frac{36}{18} +\frac{4}{18}\\\\ \frac{56}{18} \\\\ 3.11[/tex]

Hence, the chi-squared test statistic will be 3.11.

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Rachel Recorded The Number Of Calls She Made At Work During The Week:Day CallsMonday 18Tuesday 14Wednesday

Related Questions

When using three letters to name an angle, the middle letter represents the ____.

Answers

Answer:

Vertex

Step-by-step explanation:

Vertex is the 'point' of an angle

Which relation below represents a one-to-one function?

A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197.

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5.

A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11.

Answers

the last option. would be correct

The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

f(x) with entries 26, 197, 50, 170, 197.

Option A is the correct answer.

We have,

A one-to-one function is a function that has one output for one input.

Now,

x with entries 5, 14, 7, 13, 12.

f x) with entries 26, 197, 50, 170, 197.

This is a one-to-one function.

x with entries -2, -1, 0, 1, 2.

f(x) with entries 5, 2, 1, 2, 5.

This is not a one-to-one function.

The x values -1 and 1 have the same f(x) value 2.

x with entries 7.25, 7.5, 7.75, 8, 8.5.

f(x) with entries 11, 13, 15, 13, 11.

This is not a one-to-one function.

The x values 7.25 and 8.5 have the same f(x) value 11.

Thus,

The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

f(x) with entries 26, 197, 50, 170, 197.

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What is the inverse of function f?
F(x) =3-x/7

Answers

Answer:

the answer is (D) F-1 (X) = 7x - 3

Step-by-step explanation:

Which function is the inverse of if the domain of f(x) is x ≥ 0?

Answers

The question was incomplete. Please find full content below.

Which function is the inverse of

[tex]f(x)=x^2-16[/tex]

if the domain of f(x) is x ≥ 0?

The inverse funtion of the given function is given by

[tex]\mathbf{f(x)=\sqrt{x+16}}[/tex]

where the domain is x ≥ -16.

Given the function is,

[tex]f(x) =x^2-16[/tex]

Let, y = f(x)

[tex]y = x^2-16[/tex]

Adding 16 to both sides we get,

[tex]y + 16 = {x}^{2} - 16 + 16[/tex]

[tex] {x}^{2} = y + 16[/tex]

Now, square rooting to both sides we get, since x ≥ 0

[tex]\sqrt{x^2}=\sqrt{y+16}[/tex]

[tex]x=\sqrt{y+16}[/tex]

[tex]f^{-1}(y)=\sqrt{y+16}[/tex]

Hence substituting x in place of y,

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Above function is the required inverse function where the domain of that is given by, x ≥ -16.

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A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to make a mix that contains 120 pounds of soil?

144
230.4
9
0.06

Answers

A ratio shows us the number of times a number contains another number. The correct option is A.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of fertilizer to soil is,

Fertilizer/Soil = 12 ounces / 10 pounds

The amount of fertilizer that the farmer need to mix for 120 pounds of soil is,

Fertilizer/120 pounds = 12 ounces / 10 pounds

Fertilizer = (12 ounces × 120 pounds)/10pounds

Fertilizer = 144 ounces

Hence, the correct option is A.

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Which point corresponds to the real zero of the graph of y = log2 (x + 2) - 1?

Answers

Answer:

(0, 0)

Step-by-step explanation:

Ok so you have the equation: [tex]y = log_2{(x+2)}-1[/tex]. To find the zero you simply set the y equal to zero and then solve for x

[tex]0 = log_2{(x+2)}-1[/tex]

Add 1 to both sides

[tex]1 = log_2{x+2}[/tex]

Rewrite the equation in exponential form:

[tex]2^1=x+2[/tex]

Subtract 2 from both sides

[tex]0 = x[/tex]

So the zero of the function is at the origin (0, 0)

Write the logarithmic expression as a single logarithm.

Answers

Answer:

[tex]\log_48[/tex]

Step-by-step explanation:

[tex]\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48[/tex]

Linda needs to buy pencils brands has a pack of 28 pencils for 5.29 brand b has a pack of 48 pencils for 8.47 find the unit price for each brand.

Answers

Answer:

Brand A is the best buy.

Step-by-step explanation:

Brand A has a pack of 28 pencils for 5.29 dollars. This means that the unit cost of one pencil in Brand A would be 5.29/28 = 0.2$ per pencil rounded up to the nearest tenth.Brand B has a pack of 48 pencils for 8.47 dollars. This means that the unit cost of one pencil in Brand B would be 8.47/48 = $0.8 per pencil rounded up to the nearest tenth.Since $0.2 is lesser than $0.8, it means that Brand A is the best buy.

Joe piad $5 for a burger. He has more than $25 left. How much money did he have before buying the burger?

Answers

Answer:

More than 30 dollars

Step-by-step explanation:

This situation can be described with the inequality:

x - 5 > 25

1. Add 5 to both sides

2. X > 30

He had 30 bucks before buying the burger

Perform the operation and simplify

Answers

Answer:

[tex]\frac{(x-2)(x+4)}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{(x+4)^2}{x+2} :\frac{(x+2)(x+4)}{(x+2)(x-2)} =\frac{(x+4)^2(x+2)(x-2)}{(x+2)(x+2)(x+4)}=\frac{(x-2)(x+4)}{x+2} .[/tex]

6/9 is a rational number. Select all the rational numbers that are equivalent to .

0.6(line over 6)
2/3
0.66(line over 66)7
0. 66(line over 66)

Answers

Option b) and c) is correct, i.e. 2/3 and 0.66(line over 66)7

6/9 is a rational number.
similar ration number can be given as -

What is rational number?

Rational numbers are the numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

From the option, by above definition 2/3, 0.66(line over 66)7 seems to be an equivalent rational numbers because
6/9=2/3= 0.66(line over 66)7.

Thus, Rational numbers 2/3, 0.66(line over 66)7 are equivalent to 6/9.

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7.
At the metal-casting company where you work, you must
set up a conveyor system to move castings from the furnace
to the heat treatment area 55 yards away. The castings cool
at the rate of 0.3°F (degrees Fahrenheit) per second and
must not be allowed to cool more than 7°F before being
heat treated. What is the minimum speed, in feet per
second, that the conveyor must move?

Answers

Answer:

xxfdjdjwkoq9w Woow Kike sosl

Which statement best describes the relationship between lines m& n

Answers

The relationship between lines m & n is (a) the lines M and N have positive slope

How to describe the relationship?

The points are given as:

Line M: (1, 4) and (2, 7)Line N: (1, 3) and (, 5)

From the above points, we can see that:

As x increases, the y values of both lines increase

This is an illustration of positive slope

Hence, the lines M and N have positive slope

Answers

Answer: {-1, 3, 15}

Step-by-step explanation:

[tex]f(1)=-1\\\\f(3)=3\\\\f(5)=15[/tex]

So, the range is {-1, 3, 15}.

14 ) Mark Achin sells 3,600 electric motors each year . The cost of these is $ 200 each , and demand is constant throughout the year . The cost of placing an order is $ 40 , while the holding cost is $ 20 per unit per year . There are 360 working days per year and the lead - time is 5 days . What is his economic order quantity in units ? A ) 100 B ) 200 C ) 60 D 120

Answers

Mark Achin's economic order quantity in units is D. 120 units.

What is economic order quantity?

The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).

The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.

Data and Calculations:

Annual demand = 3,600

Cost price per unit = $200

Ordering cost = $40

Holding cost per unit = $20

Working days per year = 360

Lead time = 5 days

Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.

= square root of (2 x $40 x 3,600)/$20

= 120

Thus, Mark Achin's economic order quantity in units is D. 120 units.

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HELP ASAP GIVING BRAILIEST!!!!!!!
15 POINTS
photo of problem below>>

Answers

Answer:

B) y = 4/5x - 2

Answer:

Step-by-step explanation:

First, we can find the slope of the graph.

The distance of x between the two points is 5, and the distance of y between the two points is 4.

The slope formula is (Increase in y)/(increase in x)

So the slope will be 4/5.

The y-intercept is (0,-2), so the number at the very end of the equation will be -2.

With all this in mind, we can be sure that our answer is B: y=4/5x-2

The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image was T–5.2, 1.4(x, y)?
X =

Answers

The coordinates of X in the pre-image of the figure is (3.2, 0.6) if the transformation rule is T_(-5.2, 1.4)(x, y)

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we can see in the figure.

The transformation rule is T_(-5.2, 1.4)(x, y)

X'(-2, 2)

Before the transformation:

X = (-2+5.2, 2-1.4)

X = (3.2, 0.6)

Thus, the coordinates of X in the pre-image of the figure is (3.2, 0.6) if the transformation rule is T_(-5.2, 1.4)(x, y)

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Property taxes are based on the value of the property

Answers

Based on the calculations, the average selling price for these properties is equal to $127,865.

How to determine the average selling price?

Mathematically, the average selling price for these properties would be calculated by using the following formula:

Average price = [F(x)]/n

Note: The total number of properties is equal to 5.

Substituting the given parameters into the formula, we have;

Average price = [118,450 + 126,500 + 128,000 + 130,425 + 135,950]/5

Average price = 639,325/5

Average price = $127,865.

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Complete Question:

Property taxes are based on the value of the property. city officials use the average selling price of similar properties to estimate the value. the selling prices of similar properties are listed below. $118,450 $126,500 $128,000 $130,425 $135,950. What is the average selling price?

Which transformation is a isometry?

Answers

Answer:

second transformation

Look at the figure. How many different labeled rays are shown?
A.)2
B.)10
C.)20
D.)8

Answers

B.) 10

The rays are
AB, BC, CD, DE
AC, BD, CE
AD, BE
AE

Eight more than seven times a number is equal to four more than five times the number. What is the number?

Answers

Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

Let us consider the number to be 'n'.

Given condition :

7n + 8 = 5n + 4

Subtract '5n' from each side :

7n + 8 - 5n = 5n + 4 - 5n2n + 8 = 4

Subtract '8' from each side :

2n + 8 - 8 = 4 - 82n = -4

Divide '2' from each side :

2n/2 = -4/2[tex]\fbox {n = -2}[/tex]

∴ The number is -2.

You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair.

How many legs are on the ground?

Answers

Answer:

Step-by-step explanation:

1 dog = 4 legs, 2 dogs = 8 legs

1 horse = 4 legs, 4 horses = 16 legs

1 giraffe = 4 legs.

So we need to add "2 dogs = 8 legs", "4 horses = 16 legs", and 1 giraffe = 4 legs.

(8 + 16 + 4)

We get the final answer: 28

Answer:
2 which are yours.
The animals are either lying on a bed or flying.
Step-by-step explanation:

Darla places a wooden stick along the diagonal of a cubical box as shown below . If the length of the stick is 3√3 feet , what is the length of the edge of the cube ? A.9√ / 2 feet B. 3 feet C.3√2 feet D.9 feet

Answers

Answer:

Step-by-step explanation:

evaluate the expression when a= -7 and b=4 for 3b-a

Answers

Step-by-step explanation:

By putting value of a and b in 3b-a

The value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 3b - a

Plug a = -7 and b = 4

= 3(4) - (-7)

= 12+7

= 19

Thus, the value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

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approximate the value of 3^3x when x+1 using the first six terms of the Maclaurin expansion

Answers

Answer:

x could be anything but might be 3<4 or 5?8 u really never kno

-3x + 2y = 9
x - 3y = 4

Answers

Answer:

(-5, -3)

Step-by-step explanation:

Isolate x:

x - 3y = 4

x = 3y + 4

Substitute to get y:

-3x + 2y = 9

-3(3y + 4) + 2y = 9

-9y - 12 + 2y = 9

-7y = 21

y = -3

Substitute to get x:

x = 3y + 4

= 3(-3) + 4

-9 + 4

= -5

1) Which part of a circle is a portion of the boundary of a circle?
A. arc
B. center
C. circumference
D. radius

Answers

Answer:

A. arc

Step-by-step explanation:

The circumference is the entire boundary of a circle.

A portion of the circumference is called an arc.

Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
C A. Similarity cannot be determined.
• B. SSS theorem
• C. AA postulate
D. SAS theorem

Answers

The AA postulate can be used to verify that the two triangles shown below are a similar option (C) is correct.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We can utilize the AA postulate since we know two of each triangle's three angles.

In every triangle, they are the same. We may also determine each triangle's third angle.

They are comparable because both triangles have the same angles.

Thus, the AA postulate can be used to verify that the two triangles shown below are similar.

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order 0.76 grams of med each pill contains 0.02 grams of med how many pill will the patient need

Answers

Answer:

38 pills

Step-by-step explanation:

To find the number of pills, you need to divide the weight of each pill by the total weight needed.

0.76 grams / 0.02 grams = 38 pills

Graph the line that passes through the two points. Then find the slope of the line. (2,9), (4, 18)

Answers

The slope of the line is 4.5

How to determine the slope?

The points are given as:

(2,9) and (4, 18)

The slope (m) is calculated using:

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

This gives

m = (18 - 9)/(4 -2)

Evaluate

m = 4.5

Hence, the slope of the line is 4.5