Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery number is 5"". What are two possible numbers that Hall could be thinking of?

Answer:

1. The correct option is:

B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.

Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.

2. The test statistic is -0.97.

3. The correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.

Step-by-step explanation:

Note: This question is not complete and it contains some inconsistency errors in thee data. The correct complete question is therefore provided before answering the question. See the attached pdf for the correct complete question.

The explanation of the answer is now provided as follows:

1. State the null and alternative hypotheses.

Since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is:

B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.

Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.

2. What is the test statistic?

Note: See the attached excel file for the calculation of total of (f1 * x), total of (f2 * x), total of (f1 * x^2) and total of (f2 * x^2).

From the attached excel file, we have:

N2 = Total of f2 = Sample size of Hospital = 150

M1 = Mean of Private-Practice = Total of (f1 * x) / N1 = 38.40

M2 = Mean of Hospital = Total of (f2 * x) / N2 = 43.60

S1^2 = Variance of Private-Practice = Total of (f1 * x^2) / N1 = 1,541.00

S2^2 = Variance of Hospital = Total of (f2 * x^2) / N2 = 1,975.67

Therefore, we have:

t = (M1 - M2) / ((S1^2 / N1) + (S2^2 / N2))^0.5 = (38.40 - 43.60) / ((1,541 / 100) + (1,975.67 / 150))^0.5 = -0.97

Therefore, the test statistic is -0.97.

3. What can you conclude at the 5% significance level?

At 5% significance level, the test statistic from the Z distribution table known as t-tab is 1.96.

Since our calculated test statistic is -0.9727 is less than 1.96, this implies that we fail to reject the null hypothesis (H0).

Again, since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.

Answer:

1750

Step-by-step explanation:

The formula to find the volume of a rectangular prism is

[tex]v=lwh[/tex]

We are given

[tex]l=25\\w=7\\h=10[/tex]

We can then plug those values into the volume equation.

[tex]v=(25)(7)(10)\\v=1750[/tex]

Answer:

Descriptive Statistics

Step-by-step explanation:

Descriptive statistics is the analysis of data which involves describing or summarizing the data we have at a given time at our disposal. It gives us a clear idea of the characteristics of the sample under study. It however cannot be used testing hypotheses. Using of simple percentages is an example of descriptive statistics. Thus, the use of percentage in the case stated above is a descriptive statistics.

Answer:

segments LJ and LI are congruent

Step-by-step explanation:

look for the little lines (tick marks)

similar marks mean congruent to each other

The two congruent segments in the figure are LJ and LI.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration. Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

In the figure, the two segments marked are LI and LJ these two segments are congruent to each other. Congruency means the shape and the size of the segments will be equal to each other.

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Answer:

7/16

Step-by-step explanation:

(15/16 - 1/16)

(15 - 1)/16 = 14/16 = 7/8

•°• = 7/8

=====================================================

Explanation:

The interior angles are consecutive numbers such as 1,2,3,... or 7,8,9... and so on. The gap between any two adjacent neighbors is 1.

For any polygon with n sides, the interior angles add up to 180(n-2)

We have n = 8 sides so the interior angles sum to 180(n-2) = 180(8-2) = 1080 degrees.

Any octagon has its interior angles add up to 1080 degrees.

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

Let x be the smallest angle. The next angle up is x+1. After that is x+2 and so on until we reach x+7 as the 8th angle.

Add up those 8 angles, set the sum equal to 1080 and solve for x

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7) = 1080

8x+28 = 1080

8x = 1080-28

8x = 1052

x = 1052/8

x = 131.5

This is the smallest angle. The next angle up or the second smallest angle is x+1 = 131.5+1 = 132.5 degrees  (choice C)

Answer:

[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]

Step-by-step explanation:

Since Segment BOA is a diameter:

[tex]m\angle ACB=90[/tex]

Arc Ac and Arc CB are in a ratio of two to four. Since Segment BOA is a diameter, Arc ACB measures 180°. Letting the unknown value be x, we can write that:

[tex]2x+4x=180[/tex]

Hence:

[tex]x=30[/tex]

Thus, Arc CB = 120°. By the Inscribed Angle Theorem:

[tex]\displaystyle m\angle A=\frac{1}{2}\left(\stackrel{\frown}{CB}\right)=\frac{1}{2}\left(120)=60[/tex]

Therefore, ΔABC is a 30-60-90 triangle. Its sides are in the ratios shown in the image below.

Since AC is opposite from the 30° triangle, let AC = a.

We are given that AC = 9. Hence, a = 9.

BC is opposite from the 60° angle and it is given by a√3. Therefore:

[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]

Answer:

First table

Step-by-step explanation:

Mary expects to pay $954 at this rate for 35 calculators

If you have a rate, such as a price per a certain number of things, and the denominator quantity is not 1, you may determine the unit rate or price per unit by dividing the numerator by the denominator.

Five 5 scientific calculators are being sold for $135.

then the per calculator's cost is 135/5= $27.

And Mary needs to buy 35 calculators for her students

then 35 calculators is 35×27 = $954.

Hence she expects to pay $954.

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[tex]\longrightarrow{\green{ D. \:8 }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]5 \: |7 - 9| - 2[/tex]

[tex] = 5 \: | - 2| - 2[/tex]

[tex] = 5 \times 2 - 2[/tex]

[tex] = 1 0- 2[/tex]

[tex] = 8[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer: $17,852.50

Step-by-step explanation:

First find the total cost of the car including the various charges:

Sales tax = 18,500 * 6.5%

= $1,202.50

Total cost = Purchase price + sales tax + Freight charge + Registration fee + Ownership fee

= 18,500 + 1,202.50 + 450 + 155 + 45

= $20,352.50

Subtract the down payment to find out the amount that will be financed:

= 20,352.5 - 2,500

= $17,852.50

Answer:

You are only given a Side, an Angle, and then a side.  So that is what I would choose.  It can't be AA because you weren't given two angles.  It can't be SSS because you weren't given 3 sides.

Step-by-step explanation:

ΔPQR and ΔXYZ are similar due to the SSS theorem.

Option B is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Similar triangles are triangles that have the same shape but may have different sizes.

Two triangles are similar if their corresponding angles are equal, and their corresponding sides are proportional.

When two triangles are similar, they have the same shape, but one may be larger or smaller than the other.

Now,

ΔPQR and ΔXYZ

PQ/XY = 12/4 = 3

PR/XZ = 6/2 = 3

Since the two sides are proportional,

QR/YZ will be proportional.

Now,

PQ/XY = PR/XZ = QR/YZ

ΔPQR and ΔXYZ are similar due to the SSS theorem.

Thus,

ΔPQR and ΔXYZ are similar due to the SSS theorem.

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Step-by-step

I hope it helps you

Answer:

D

Step-by-step explanation:

because it's the highest out of the other letter

The number does not make the comparison true is 23.195 >23.189. Therefore, option C is the correct answer.

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

Given that, 23.195 <

Here,

A) 23.195 <23.200

B) 23.195 <23.198

C) 23.195 >23.189

D) 23.195 <23.205

Therefore, option C is the correct answer.

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Answer:

The antiderivative is [tex]F(X) = 6x + 6x^4 + 3x^6 - 15[/tex].

Step-by-step explanation:

Antiderivative F(x)

This is the integral of [tex]F^{\prime}(x)[/tex]

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

[tex]F(x) = \int (6 + 24x^3 + 18x^5) dx[/tex]

[tex]F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K[/tex]

[tex]F(x) = 6x + 6x^4 + 3x^6 + K[/tex]

F(1)=0

[tex]F(X) = 0[/tex] when [tex]x = 1[/tex]. We use this to find K.

[tex]F(x) = 6x + 6x^4 + 3x^6 + K[/tex]

[tex]0 = 6 + 6 + 3 + K[/tex]

[tex]K = -15[/tex]

Thus

The antiderivative is [tex]F(X) = 6x + 6x^4 + 3x^6 - 15[/tex].

Answer:

25 students:1 teacher

Step-by-step explanation:

in ever class in my school there is 1 teacher and we have between 20 and 30 students therefor 20 + 30 / 2 is 25

Answer:

0.21

Step-by-step explanation:

There's 21 kids with a cell phone and no tablet

so 21/100 = 0.21

Answer: uhh 10%??

Step-by-step explanation:

I'm not rlly good at percentage-

[tex]HOLA!![/tex]

Answer:

[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{3n}{3^n \: n!}=e^{\frac{1}{3} } }}[/tex]

Explanation:

[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{3n}{3^n \: n!}=}}[/tex]

For this we have to take into account:

[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{x^{n} }{n!} =e^{x} }}[/tex]

Using the properties of factorials and exponents we have:

          [tex]n!=(n-1)n![/tex]  Also.    [tex]\frac{n^{x} }{ n^{y} }=n^{x-y}[/tex]  

We replace:

[tex]{\boxed{ \sum_{n=1}^{\infty}\ \frac{1}{3^{n-1}.(n-1)! } }}[/tex]

Shape it:

[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{(\frac{1}{3} )^{n-1} }{(n-1)!} }}[/tex]

Finally:

[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{(\frac{1}{3} )^{n-1} }{(n-1)!} =e^{\frac{1}{3} } }}[/tex]

Answer:

8 and 9

Step-by-step explanation

Answer:

21 bows

Step-by-step explanation:

Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.

Answer:

Step-by-step explanation:

The answer you have chosen is not correct. Let's walk through the simplification process, shall we?

Begin by adding over the 1/4, after you find the common denominator, that is. 5/2 with a denominator of 4 is 10/4:

[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}[/tex] and then multiply both sides by the reciprocal of 2/3:

[tex]cx+\frac{1}{2}=\frac{33}{8}[/tex] then subtract the 1/2 in the form of 4/8 (common denominator and all...) to get

[tex]cx=\frac{29}{8}[/tex] and finally divide both sides by c to get

[tex]x=\frac{29}{8c}[/tex]  That's choice C.

Answer:

5

Step-by-step explanation:

To start, you use the formula a/b=c, in which a is bigger than b. In this case, that's 95/20=c. The greatest common factor is 5.

Answer:

10

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scaled length of the pool = 50 / 5 = 10cm

Step-by-step explanation:

my answer is in the image above

The solution is m=70miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

If k kilometers is the same distance as m miles.

k is given approximately by the formula.

k=8m/5

the number of miles in 112km,

then, we get

k=8m/5

i.e. m= 5k/8

now, k=112

so, m= 5/8 * 112

i.e. m=70

Hence, The solution is m=70miles.

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Answer:

g(2) = -42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{g(1) = 50} \atop {g(n) = 8 - g(n - 1)}} \right.[/tex]

Step 2: Evaluate

Answer:

37.68 in.^3

Step-by-step explanation:

diameter = 4 in.

radius = diameter/2 = 2 in.

height = 9 in.

[tex] V = \dfrac{1}{3}\pi r^2 h [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \blue{37.68~in.^3} [/tex]

Answer:

growth

79% rate of increase

Step-by-step explanation:

1.79 is > than 1

therefor growth

1.79  = 79% rate of increase