9514 1404 393
Answer:
A. 16°
Step-by-step explanation:
Angle E corresponds to angle N, the third angle in ∆MNO. Its measure is ...
∠N = 180° -∠M -∠O
∠N = 180° -99° -65°
∠N = ∠E = 16°
9) Find all the numbers with prime factors 2, 3, and 7 that equal less than 200.10) If a number is divisible by 4 and 7, the number must have at least six factors. What are they?
Find all the numbers with prime factors 2, 3, and 7 that equal less than 200.
a possible number is
(2)(3)(7)=42 ------> is less than or equal to 200
(2^2)(3)(7)=84 ---> is less than or equal to 200
(2^3)(3)(7)=168 -> is less than or equal to 200
(2)(3^2)(7)=126 --> is less than or equal to 200
(2)(3^3)(7)=378 -----> is not less than 200
(2)(3)(7^2)=294 -----> is not less than 200
therefore
the numbers are 42,84,126 and 168
Rewrite the following equations in the form (x−p)2=q 0=x^2-18x+1 and the equation x^2+26x+167.5=0
For the first equation, we can complete the square to find its vertex form. Here's how we do it:
0 = x^2 - 18x + 1
0 = (x - 9)^2 - 80
So we have (x - 9)^2 = 80. This is in the form (x - p)^2 = q, where p = 9 and q = 80.
For the second equation, we can complete the square in a similar way:
x^2 + 26x + 167.5 = 0
x^2 + 26x = -167.5
x^2 + 26x + (26/2)^2 = -167.5 + (26/2)^2
(x + 13)^2 = 9.25
So we have (x + 13)^2 = 9.25. This is in the form (x - p)^2 = q, where p = -13 and q = 9.25.
I hope that helps!
In 2013, the average Girl Scout in New York City sold 96 boxes of cookies. The leader of Troop 5078 in New York City wants to know if the scouts in her troop sold more cookies than the average in New York City. She randomly samples 50 girls in Troop 5078 and records the number of boxes of cookies sold for each girl in the sample. The troop leader finds that her Girl Scouts each sold an average of 101.1 boxes of cookies with a standard deviation of 29.3. She analyzed her data using a t-test and obtained a p-value of 0.11. What conclusion can she draw from her data?
Answer:
We want to test if the scouts in her troop sold more cookies than the average in New York City (50), the system of hypothesis would be:
Null hypothesis:\(\mu \leq 50\)
Alternative hypothesis:\(\mu > 50\)
The statistic for this case is given by:
\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)
For this case we have also the p value calculated
\(p_v =0.11\)
If we use any significance level lower than 10% we FAIL to reject the null hypothesis (pvalue>significance) and we can conclude that the true mean is not higher than the mean for New York otherwise if we use a significance level higher than 10% the conclusion would be the opposite.
Step-by-step explanation:
Information given
\(\bar X=101.1\) represent the sample mean
\(s=29.3\) represent the sample standard deviation
\(n=50\) sample size
\(\mu_o =50\) represent the value that we want to test
t would represent the statistic
\(p_v\) represent the p value
System of hypothesis
We want to test if the scouts in her troop sold more cookies than the average in New York City (50), the system of hypothesis would be:
Null hypothesis:\(\mu \leq 50\)
Alternative hypothesis:\(\mu > 50\)
The statistic for this case is given by:
\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)
For this case we have also the p value calculated
\(p_v =0.11\)
Conclusion
If we use any significance level lower than 10% we FAIL to reject the null hypothesis (pvalue>significance) and we can conclude that the true mean is not higher than the mean for New York otherwise if we use a significance level higher than 10% the conclusion would be the opposite.
what is 2 5/12 - 1 8/12 = ?
Answer:
3/4.
Step-by-step explanation:
Convert both of the mixed numbers into improper fractions.
2 5/12 becomes 29/12, 1 8/12 becomes 20/12.
From there, subtract 20/12 from 29/12 and you get 9/12.
Simplify 9/12 to get 3/4.
Your answer is 3/4.
I hope this helped, have a nice day.
Is -2r(8r+5) = -16r^2-10r
Answer:
\(Yes.\)
Step-by-step explanation:
\(-2r(8r+5) = -16r^2-10r\)
\(-16r^2-10r = -16r^2-10r\)
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
1. Henry's little brother still sleeps in a crib at night. The crib is designed so the mattress can
be lowered as his brother gets older. The top and bottom pieces are parallel to one
another.
Currently, his crib is on Level 1 as shown below. If the m <2 is 42°, find the m <4 and m <7.
m<4=138°
m<7 = 42°
The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.
To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.
Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.
Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.
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2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
if you will review your lessons, then you will pass MMW.
Converse_____________
inverse:______________
contrapositive:_____________
Answer:
nfndndntntnnfmfmfmdndDiven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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Determine the equation of the line that passes through the point (-1, 2) and isperpendicular to the line y = -2.
1) In this question, let's find the equation, using the point-slope formula:
\((y-y_0)=m(x-x_0)\)2) Notice that since we want a perpendicular line we can write a perpendicular line to y=2, as x=-1/2 for -1/2 is the opposite and reciprocal to 2 (the necessary condition to get a perpendicular line).
So, the slope of that perpendicular line is -1/2
3) Let's plug into that Point-Slope formula, the slope m= -1/2 and the point:
\(\begin{gathered} (y-2)=-\frac{1}{2}(x+1) \\ y-2=-\frac{1}{2}x-\frac{1}{2} \\ y=-\frac{1}{2}x-\frac{1}{2}+2 \\ y=-\frac{1}{2}x+\frac{3}{2} \end{gathered}\)4) Thus, the answer is:
\(y=-\frac{1}{2}x+\frac{3}{2}\)An object is launched at 24.5 meters per second from a platform that is 68.6 meters tall. The equation for the object's height in meters, h, at t seconds after the launch is shown below.
h =-4.9t2 + 24.5t + 68.6
If 5 men can do a piece of work in 20 days, in how many days could 10 men
do the same work?
Answer:
10
Step-by-step explanation:
(U can do mental calculation and guess it will be 10 ..) or else ....
Constant(k) = xy
k= 5 x 20
k= 100
Constant(k) = xy
100 = xy
100 = 10y
y= 100/10 = 10
= 10
I hope im right!!
three subtracted from 5 x a number is -128. what is that number
A) translate the statement above into an equation that you can solve to answer this question.
do not solve it yet use x as your variable.
the equation is :
B)solve your equation [A} for x
answer for x
5-3x=-128
LHS = RHS
(5 - 3) x A = -128
( 2 ) x A = -128
2A / 2 = -128 / 2
A = -64
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
What questions do you still have about what we’ve learned
5. In each of the following figures, AB// CD. Find the value of the unknown.
Note: Don't give wrong answer. Give answer by step by step explanation
The values of the unknown in the figures are a = 40, b = 32 and c = 275
How to determine the values of the unknownFigure (a)
A quadrilateral has a total angle measure of 360 degrees.
So, we have
90 - a + 92 + 128 + 90 = 360
Evaluate the like terms
-a = 360 - 400
So, we have
a = 40
Figure (b)
The total measure of angles on a line is 180 degrees.
So, we have the following
4b - 10 + 2b - 2 = 180
Evaluate the like terms
6b = 192
So, we have
b = 32
Figure (c)
The total measure of angles at a point is 360 degrees
So, we have the following
c + 19 + (94 - 28) = 360
Evaluate the like terms
c = 275
Hence, the value of c is 275 degrees
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Roy is skiing on a circular ski trail that has a radius of 0.7 km. Roy starts at the 3-o'clock position and travels 2.15 km in the counter-clockwise direction. a. How many radians does Roy sweep out? _____ radians Preview b. When Roy stops skiing, how many km is Roy to the right of the center of the ski trail? _____ v km Preview c. When Roy stops skiing, how many km is Roy above of the center of the ski trail? _____ * km
Part a: Roy sweeps out 2.15/0.7 radians.
Part b: When Roy stops skiing, he is cos(3.071)(0.7) km to the center of the ski trial
Part c: When Roy stops skiing he is sin(3.071)(0.7) km above the centre of the ski trail
The radius of the ski trail= 0.7 km
Roy starts 3 o'clock position and travels 2.15 km in the counter-clockwise direction.
Let O be the centre of ski trial, A be the starting point(3-o'clock position) and consider he is now at point B.
Now, using the formula for arc length.
Arc length=(Radius)(angle at center)
2.15=(0.7)θ
θ=2.15/0.7
Roy sweep out 2.15/0.7 radians.
Part b:
When Roy stops skiing how many km is Roy to the right of the ski trial
In part, a figure draws the vertical line from point B on the horizontal line. Get the right-angle triangle
Here to find the length OP. In right angle triangle cos θ=Adjacent side/hypotenuse,
As in part, a central angle is 2.15/0.7=3.071.
Therefore,
cos(3.071)=OP/0.7
OP=cos(3.071)(0.7)
cos(3.071)(0.7) km.
Part c:
When Roy stops skiing how many km is Roy above the centre of the ski trial
From figure part of part b, we have to calculate side BP.
In right angle triangle sin(θ)=Opposite side/hypotenuse
Therefore,
sin(3.071)=BP/0.7
BP=sin(3.071)/(0.7)
sin(3.071)(0.7) km.
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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.c represents the y-intercept.x and y are the data points.What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided regarding the equations and graphs, the y-intercept are as follows:
The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.Read more on y-intercept here: brainly.com/question/19576596
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m. 2.7(2x + 3) –4.6 n. 2 3 (12 + 15z) – 4 1 2 z o. 9 10 + 1 4 ( 2 3 v+ 2 5 )–1
Answer:
go on
Step-by-step explanation:
math,way, ., com
The volume of a rectangular prism is 2x2 + 9x2 - 8x-36 with height x + 2. Using synthetic division, what is the area of
the base?
O 2x3 + 13x2 +18%
O 2x2 + 5x2 - 18%
O 2x2 + 13x+18
O 2x2 + 5x-18
+
Answer:
2×2+5x-18 is the answer
Man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and she wants to order between 15% and 20% extra of the material
The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².
How to calculate the value?From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.
It should be noted that 15% of the material will be:
= 15% × 115.4
= 17.31 ft²
It should be noted that 20% of the material will be:
= 20% × 115.4
= 23.08 ft²
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The spinner below shows 5 equally sized slices. Mal spun the dial 500 times and got the following results.
The experimental probability is 1/5, or 0.20. The theoretical probability is 0.206.
What is a probability?Probability is represented as the number of ways for an event to happen over all possible outcomes.
a. For the theoretical probability, there is 1 black spot and 5 total options. Therefore, the probability is 1/5, or 0.20.
b. For experimental probability, there were 103 times it landed on black out of 500 spins. The probability is 103/500, or 0.206.
c. Lastly, the multiple choice. The larger sample size you take, assuming a fair spinner, the more likely you are to see results similar to the theoretical probability. This is because the larger sample size taken, the less each individual spin effects the outcome.
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Cassidy is researching the impacts of eating breakfast on college students who have classes prior to 9 am. To do this, she issued a Likert scale questionnaire to the students, with a scale of 1 through 10 to answer a series of 20 questions. What is the type of measurement scale
Answer:
Interval scale
Step-by-step explanation:
In statistics, there are 4 types of measurement scales namely;
Nominal scales, interval scales, Ordinal scales and Ratio scales.
Now, in this question Cassidy is trying to research the impacts of eating breakfast on college students who have classes prior to 9 am.
This has to do with order as it deals with people who have breakfast before 9 a.m. It also deals with the exact differences in the various answers on the scale of 1 - 10 for each student student in the research for the 20 questions.
This is exactly what the interval measurement scale is all about interval scale deals with order and exact differences in values.
Thus, the scale used is an interval scale.
I will give lots of points please help
Answer:
yes it is a right triangle if you look closely at triangle ABC there is a right triangle mark the little square
Use Pythagorean theorem to confirm the right triangle:
AB² + BC² = AC²12² + 5² = 13²144 + 25 = 169169 = 169Confirmed
Part BThe triangles are similar:
ΔABC ~ ΔRSTCorresponding sides have same ratio:
AB/RS = AC/RTSubstitute known values and find the missing length:
12/24 = 13/RT1/2 = 13/RTRT = 13*2RT = 26Aisha had 2 gallons of paint. She used 4 /5 of the first gallon and 1/4 of the second gallon.
How many gallons were left over?
A: 15 gallon
B: 34 gallon
C: 1920 gallon
D: 1120 gallons
Answer:
19/20
Step-by-step explanation:
you spelled them wrong A is 1/5 B is 3/4 C is 19/20 D is 11/20 but C is the right answer
The leftover gallon of paint she has now is C: 19/20 gallon
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Aisha had 2 gallons of paint.
She used 4 /5 of the first gallon and 1/4 of the second gallon.
∴ The amount of leftover paint is 2 - (4/5 + 1/4).
= 2 - (16 + 5)/20.
= 2 - 21/20.
= (40 - 21)/20.
= 19/20.
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solve for the value of s
Answer:
s = 7 degrees
Step-by-step explanation:
All the angles have to add up to 180, so take 180 - 90 - 54 (the angles you know), and set them equal to 4s + 8. You get 36 = 4s + 8, subtract 8 from both sides, divide by 4, and you get that s = 7 degrees
Hopefully this helps! Let me know if you have any questions
175+14.25x=200+11z solve the problem
Answer:
x = 7.69
Step-by-step explanation:
We need to solve the given problem. It is as follows :
175+14.25x=200+11x
Here, x is a variable. We can take on one side of an equation and constants to the other side such that,
14.25x-11x = 200-175
3.25x=25
x = 25/3.25
x = 7.69
Hence, the solution of the given equation is 7.69.
How do you calculate a Punnett square?
Punnet squares are a diagram which biologist use to determine the probability of an offspring having a particular trait.
Steps to calculate Punnet square:
Step 1 : Determining parental genotypes
Step 2: Set up the Punnet square
(a) Draw a square with four boxes within it.
(b) Write the mother's genotype on top of the square. Each letter will be above one box.
(c) Write the father's genotype on the left side of the square. Each letter will be next to one box.
Step 3: Cross the P generation
Step 4: Determine the Phenotypes of the F1 generation
Step 5: Calculate Phenotypic probabilities
So this is how we calculate Punnet square.
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How many miles does he run in one year
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway