Answer:
16 Miles
Step-by-step explanation:
For every week you simply multiply the number of miles from the previous week by 2, therefore
Week 1: 1
Week 2: 2
Week 3: 4
Week 4: 8
Week 5: 16
5 scientific calculators are being sold for $135 at a school supply store, Mary needs to
buy 35 calculators for her students. How much should she expect to pay at this rate?
Mary expects to pay $954 at this rate for 35 calculators
How do you find the rate per item?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.
How to find 35 calculator's price?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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Find the GCF of 20 and 95 Using the Euclidean Algorithm. Check your work by using the prime factorization method.
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.
Which number does not make the comparison true? 23.195 < □
A- 23.200
B-23.198
C-23.189
D-23.205
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.
How to compare to decimals?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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2. Suppose the measures of the interior angles of a convex octagon are eight
numbers, each separated by a value of 1 degree from its neighbors. Find
the measure of the second smallest angle.
118°
131°
132.5°
142°
None of these answers are correct.
=====================================================
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)
Solve the equation for x in terms of c.
2/3(cx+1/2)-1/4=5/2
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.
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. You may use technology to compute your answers. 20–30 30–40 40–50 50–60 Total Private Practice 16 40 38 94 Hospital 8 44 59 111 Total 24 84 97 205
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.
The name of the circle pictured is circle C
A. True
B. False
Answer:
TRUE IS THE ANSWER
Step-by-step explanation:
The name of the circle pictured is circle C is True statement.
What is Circle?A circle is a collection of points in a plane that are all equally spaced apart from one another. The radius is the distance from the centre, while the centre is the location of the point. The diameter is defined as twice the radius. A complete angle, which is equal to or radians, is the angle that a circle subtends from its centre.
we have a graph for a circle.
We know a circle many parts such as Center, Radius, Diameter, Chord, etc.
A circle usually know from its Center.
Also, the center of circle shows the point of circle.
Thus, the given statement is True.
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What is the conversion for m/s to km/h ?
Answer:
3.6km/hr
Step-by-step explanation:
What is the conversion for m/s to km/h ?
According to the conversion
1m = 0.001km
1s = 1/3600 hr
m/s to km/hr = 0.001/(1/3600)
= 0.001×3600
= 3.6
Hence the conversion is 3.6km/hr
Slope is -1 and (3,2) is on the line
Identify two segments that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)
K
H
#
is congruent to
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.
What is congruency?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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An Olympic swimming pool is 50 metres long by 25 metres wide. Rebecca draws a scale diagram of it to a scale of 1 cm to 5 m. How many centimetres long should her drawing be?Required to answer. Single choice.
(2 Points)
5
10
25
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
If k kilometres is the same distance as m miles.
k is given approximately by the fomula. k=8m/5
the number of miles in 112km.
Step-by-step explanation:
my answer is in the image above
The solution is m=70miles.
What is multiplication?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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Can someone answer with steps and explanation? Thanks.
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]
Question 11 of 45
Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
12
6 R
X 2 z
O A. Similarity cannot be determined,
B. SSS theorem
O C. AA postulate
D. SAS theorem
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.
What is triangle congruency?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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What is the LCM of 72,96,120
Answer:
LCM = 1440
Step-by-step explanation:
2 | 72 , 96 , 120
2 | 36, 48, 60
2 | 18 , 24 , 30
2 | 9 , 12 , 15
2 | 9 , 6 , 15
3 | 9 , 3 , 15
3 | 3 , 1 , 5
5 | 1 , 1 , 5
| 1 , 1 , 1
LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 1440
Khanacademy Unit:Sequences
What does g(2)=?
Answer:
g(2) = -42
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationAlgebra II
SequencesStep-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
Substitute in x [Function g(n)]: g(2) = 8 - g(2 - 1)(Parenthesis) Subtract: g(2) = 8 - g(1)Substitute in function value: g(2) = 8 - 50Subtract: g(2) = -42the length of each side of a cube is 3x+10 Write a polynomial in standard form to represent the surface area of the cube
==========================================================
Explanation:
One square face has an area of
(length)*(width) = (3x+10)(3x+10) = 9x^2+30x+30x+100 = 9x^2+60x+100
after using the FOIL rule
Multiply that by 6 to get the total area of all 6 faces
6*(9x^2+60x+100) = 54x^2+360x+600
The surface area units are in square feet.
Layla is cutting bows out of ribbon which will be used to wrap gifts. If Layla needs 21/22of a foot of ribbon to make a bow, and she has 21 feet of ribbon, then how many bows can Layla make?
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.
If a square has an area of 0.25 square unit, what is the side length of the square?
Answer:
0.5
LxW=A
0.5x0.5=0.25
Answer:
the side length of square is 0.5 unit.
Step-by-step explanation:
area of square = l^2
0.25 = l^2
[tex]\sqrt{0.25[/tex] = l
0.5 = l
55 squared- 45 squared=
Answer:1000
Step-by-step explanation:
Match each expression with the correct description.
What is the distance between the points (2, 1) and(6, 7)?
Answer:
[tex]\displaystyle d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, 1)
Point (6, 7)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(6 - 2)^2 + (7 - 1)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{4^2 + 6^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{13}[/tex][tex]\huge{\boxed{ \sum_{n=1}^{\infty}\frac{3n}{3^n \: n!}=}}[/tex]
[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]
what is 15/16 -1/16? 3/4 or 13/16 or 7/8 or 1?
Answer:
7/16
Step-by-step explanation:
(15/16 - 1/16)
(15 - 1)/16 = 14/16 = 7/8
•°• = 7/8
The difference between accuracy and precision
Answer:
Accuracy is the degree of closeness between a measurement and the measurement's true value. Precision is the degree to which repeated measurements under the same conditions are unchanged.
Definition With Example
Accuracy refers to the closeness of a measured value to a standard or known value. ... Precision refers to the closeness of two or more measurements to each other. Using the example above, if you weigh a given substance five times, and get 3.2 kg each time, then your measurement is very precise.
Which of the following represents the factorization of the trinomial below?
X2 - 2x - 48
ANSWER ASAP
Answer:
(X+6)(x-8)
Step-by-step explanation:
Answer:
(x-8)(x+6)
Step-by-step explanation:
Factor the trinomial using the AC method.
x * x = x^2
-8 + 6 = -2
-8 * 6 = -48
Kay leaves a $6 dollar tip for a $60 dollar bill what percentage is the tip
Answer: uhh 10%??
Step-by-step explanation:
I'm not rlly good at percentage-
In the summer 2013, the animal action report stated that 59% of americans between the ages 18 and 29 oppose medical testing. Is this descriptove statistics or inferential statistics?
A. Inferential Statistics.
B. Descriptive Statistics.
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.
Eduardo purchased a car for $18,500 with 6.5% sales tax, a freight charge of $450, a registration fee of $155, and an ownership fee of $45. Eduardo made a down payment
of $2.500, the total amount financed would be:
$18.056.50
$17.852.50
$17.398.75
$18.235.75
None of these choices are correct
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
easy math questions please help me:)! solve for x and show work
Answer:
4) 93°
5) 1°
6) 51°
7) 6°
Step-by-step explanation:
4)
180 - 36 - 51 = 93
93 °
5)
(4x + 27 ) = 180 - 64 - 85
4x + 27 = 31
x = 1
6)
theory of exterior angles in a triangle:
21 + 30 = x
x = 51
7)
3x + 42 = 46 + 44
3x + 42 = 90
3x = 48
x = 16
If my answer is incorrect, pls correct me!
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