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In the diagram below of triangle MNO, P is the midpoint of MO and Q is the
midpoint of NO.If PQ = 49 – 8x, and MN = 41 + 3x, what is the measure of
MN?
O
N
P
M M
Answer:
MN = 50
Step-by-step explanation:
Given:
PQ = 49 – 8x
MN = 41 + 3x
Required:
Measure of MN
Solution:
PQ = ½(MN) => Mid-segment theorem of a triangle
Substitute
49 - 8x = ½(41 + 3x)
Multiply both sides by 2
2(49 - 8x) = 41 + 3x
98 - 16x = 41 + 3x
Collect like terms
98 - 41 = 16x + 3x
57 = 19x
57/19 = 19x/19
3 = x
x = 3
Find MN:
MN = 41 + 3x
Plug in the value of x
MN = 41 + 3(3) = 41 + 9
MN = 50
The function ƒ(x) = −(x + 3)^2 − 4 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.
Answer:
Step-by-step explanation:
The second one I believe.
what is the answer
help
Answer: With that assumption, we have a square, whose area is given by the formula Asquare=a2, and two semicircles. The distance D is simply the square's diagonal. The area of each semicircle is given by the formula Asemicircle=π*r2/2. then you will get your answer!
The length and breadth of a rectangular field are 312m and 186m respectively; correct to the nearest metres. Between what limits must the field's perimetre lie? (Write your final answer as an inequality)
Answer:
[tex] P \geq 1000 \; meters [/tex]
Step-by-step explanation:
Given the following data;
Length = 312 meters
Breadth = 186 meters
To find the perimeter of the rectangle;
Mathematically, the perimeter of a rectangle is given by the formula;
Perimeter = 2(L + W)
Perimeter = 2(312 + 186)
Perimeter = 2(498)
Perimeter = 996 meters
To the nearest meters, we have;
Perimeter = 996 ≈ 1000 meters
Let P represent the perimeter of a rectangular field.
900 < P > 1000
Therefore, [tex] P \geq 1000 \; meters[/tex]
Ravi bought a pack of 30 biscuits. He ate a fifth of them on Thursday.He ate a third of the remaining biscuits on Friday How Many biscuits did he have left?
Answer:
if I'm not mistaking (please correct if I'm wrong) but I think he would have 16 left.
Step-by-step explanation:
you have to divide one-fifth of 30 which would get you 6, then divide one-third of 24 ( because 30 - 6 is 24) then total both fractions to get 14. then finally subtract 14 from 30 to get 16.
Consider the following time series. t 1 2 3 4 5 yt 6 10 8 13 15
(a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data?
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = 4.1 Slope, b1 = 2.1 MSE = ????
(c) What is the forecast for t = 6? If required, round your answer to one decimal place. 16.7 I know how to do it all but the MSE.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
t __1 2 3 4 5
yt_ 6 10 8 13 15
Using technology to produce a linear model :
The linear model obtained shows a positive linear pattern exist for the time series data :
The parameters for the line that minimizes MSE for the then series is :
y = 2.1t + 4.1
Where, slope = 2.1 ; intercept = 4.1
The mean squared error :
Sum of squared estimate of error = 9.1
Mean squared error = √9.1
Mean squared error = 3.02
Forecast for t = 6
y = 2.1t + 4.1
y = 2.1*6 + 4.1
y = 12.6 + 4.1
y = 16.7
Deborah finds that that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped heads 45 times. what is the percent difference in theoretical and experimental probability
Answer: 5% if it’s bubble sheet then 0.05
Step-by-step explanation:
Probability of flipping heads=50%
Probability of flipping practically = 45/100
=45
So 50%-45% = 5%
Which system of inequalities has the solution set shown in the graph?
25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2
lmoa what
Answer:
A. 25 < (x – 1)² + y² and 16 > x² + (y + 4)²
Step-by-step explanation:
the solutions are in the outside of the bigger circle, but inside of the smaller circle
The inequality is 25 < (x – 1)² + y² and 16 > x² + (y + 4)². Option A is correct.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.
The solutions are on the outside of the bigger circle, but inside of the smaller circle.
The radius of the bigger circle is 5 and the radius of the smaller circle is 4. The graph of the inequality is attached with the answer below.
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A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.4% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!
If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
prob =
At least 4 digits!
If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.
prob =
At least 4 digits!
Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?
no, it is not unusual
yes, it is unusual
If 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them graduated.
prob =
At least 4 digits!
Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate?
yes, it is unusual
no, it is not unusual
Would it be unusual to randomly select 12 students from the special programs and get only 9 that graduate?
no, it is not unusual
yes, it is unusual
Answer:
A) 0.7696
B) 0.0474
C) Yes it's unusual
D) 0.05746
E) No, it is not unusual
F) No, it is not unusual
Step-by-step explanation:
This is a binomial probability distribution question.
We are told that 92.4% of those admitted graduated.
Thus; p = 92.4% = 0.924
From binomial probability distribution, q = 1 - p
Thus;
q = 1 - 0.924
q = 0.076
Formula for binomial probability distribution is;
P(x) = nCx × p^(x) × q^(n - x)
A) At least 11 graduated out of 12.
P(x ≥ 11) = P(11) + P(12)
P(11) = 12C11 × 0.924^(11) × 0.076^(12 - 11)
P(11) = 0.3823
P(12) = 12C12 × 0.924^(12) × 0.076^(12 - 12)
P(12) = 0.3873
P(x ≥ 11) = 0.3823 + 0.3873
P(x ≥ 11) = 0.7696
B) that exactly 9 of them graduated out of 12. This is;
P(9) = 12C9 × 0.924^(9) × 0.076^(12 - 9)
P(9) = 0.0474
C) We are not given significance level here but generally when not given we adopt a significance level of α = 0.05.
Now, exactly 9 out of 12 that graduated which is P(9) = 0.0474.
We see that 0.0474 is less than the significance level of 0.05. Thus, we can say that it is unusual to randomly select 12 students from the special programs and get exactly 9 that graduate
D) that at most 9 of them out of 12 graduated.
P(x ≤ 9) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9)
This is going to be very long so I will make use of an online probability calculator to get the values of P(0) to P(8) since I already have P(9) as 0.0474.
Thus, we have;
P(0) = 0
P(1) = 0
P(2) = 0
P(3) = 0.00000001468
P(4) = 0.00000040161
P(5) = 0.00000781232
P(6) = 0.00011081163
P(7) = 0.00115477385
P(8) = 0.00877476184
Thus;
P(x ≤ 9) = 0 + 0 + 0 + 0.00000001468 + 0.00000040161 + 0.00000781232 + 0.00011081163 + 0.00115477385 + 0.00877476184 + 0.04741450256
P(x ≤ 9) = 0.05746
E) P(x ≤ 9) = 0.05746 is more than the significance level of 0.05, thus we will say it is not unusual.
F) from online binomial probability calculator, probability of getting only 9 out of 12 is more than the significance value of 0.05. Thus, we will say it is not unusual
What’s the ratio of 20 to 3
Answer:
666.666666666667%
Step-by-step explanation:
Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%
An account earns simple interest. Find the annual interest rate.
I=$35
P= $1000
t = 6 months
The annual interest rate is
Answer:
This is the answer $2100
Step-by-step explanation:
$35×$1000×6/100=2100
A is a plane figure bounded by more than four straight lines.
Answer:
A plane figure with 4 sides is called a quadrilateral.
Step-by-step explanation:
A plane figure bounded by more than four straight lines is generally referred to as a polygon. A polygon is a closed two-dimensional shape formed by connecting multiple line segments. The line segments, also known as sides, should intersect only at their endpoints, forming vertices of the polygon.
Polygons can have various numbers of sides, and their names are typically based on the number of sides they possess. Some common examples include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and so on.
However, when the statement specifies that the plane figure is bounded by "more than four" straight lines, it suggests that the figure in question is a polygon with more than four sides. The exact name or classification of the polygon would depend on the specific number of sides it possesses.
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Determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!! Show your work. Part 2c
Answer:
2. Not enough information
4. Congruent SAS
4. Similar, not enough information to determine congruency.
Step-by-step explanation:
2. We only know one side and one angle are congruent, Not enough to determine congruency
4. We know two sides and the angle between are vertical angles and vertical angles are congruent. SAS is how the triangles are congruent.
6. The three angles are congruent which makes the triangles similar. We need to know a side if they are to be congruent
Solve the equation for x: 3x + 4 = 9x − 1 by using a common base.
tell this !!!!............
Answer:
D
Step-by-step explanation:
Answer:
D....................
coz 100 has 0 so the number should at least have 0 in it
I ONLY HAVE 5 minutes HELP!!!
Alvarez has $650 deposited into his bank account. The account earns simple interest of 6,5% per year. No other money is added or withdrawn from the account
for a period of four years. What is the total amount of money in the account after four years?
$143
O $685.75
C $793
D 8805.24
Answer:
685.75
Step-by-step explanation:
650*0.055+650
You roll a 6-sided die.
What is P(odd)?
Write your answer as a percentage.
%
Submit
Answer:
it is 50%
Step-by-step explanation:
>:( im doing ixl and im in paine but here is the answer ok
help me this question
Answer:
Option B
Step-by-step explanation:
What is the best description of the data in the histogram
A The data is set symmetrical
B The data interval is four
C The data set has a peak
D The data set has a cluster
A person must score in the upper of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. If IQ scores are normally distributed with a mean of and a standard deviation of , what score must a person have to qualify for Mensa (to whole number)
Answer:
The person must score at least [tex]X = \mu + Z\sigma[/tex], in which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score, [tex]\mu[/tex] is the mean IQ score for the population and [tex]\sigma[/tex] is the standard deviation.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What score must a person have to qualify for Mensa?
Score of at least X, given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]X - \mu = Z\sigma[/tex]
[tex]X = \mu + Z\sigma[/tex]
In which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score.
i don’t get this plz help
9514 1404 393
Answer:
f(x) = x(x-1) does not have an inverse function
Step-by-step explanation:
As you know, a function must be single-valued. That is, it can only have one y-value for each x-value.
If the inverse relation is to be a function, the original function must have only one x-value for each y-value. In general, even-degree polynomials, such as quadratic equations, cannot satisfy this requirement. This is often described as "the horizontal line test." That is, if a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
The attachment shows a horizontal line intersecting f(x) = x(x-1) in more than one place. The inverse of this relation is not a function.
[tex] \rm{f(x) = x(x - 1)}[/tex]
[tex] \\ [/tex]
15 POINTS! PLEASE HELP! WILL GIVE BRAINLIEST!
Which expression should you simplify to find the 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4? O +2 A. 36 2. VOA O B. 64 +2 4 V36 O C. 64 +1.645. 4. V36 4 O D. 36 +1.645 V64 SUBMIT
Answer:
c
Step-by-step explanation:
i took the test and got it right
For 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4 the answer is C. 64 +1.645. 4. V36.
What is confidence interval?A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence.
In statistics, it is commonly used to estimate the population mean based on a sample mean, standard deviation, and sample size.
The confidence level represents the probability that the true population parameter falls within the calculated interval.
The correct expression to find the 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4 is:
64 ± 1.645(4/√36)
Simplifying the expression:
64 ± 1.645(4/6)
64 ± 1.645(0.6667)
64 ± 1.0967
The 90% confidence interval is (62.9033, 65.0967).
Therefore, the answer is C. 64 +1.645. 4. V36.
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Shannon was born on 12/21/1982. How many eight digit codes could she make using the digits in her birthday?
============================================================
Explanation:
Ignoring the slashes, there are 8 digits here. If we could tell those '1's and '2's apart, then we'd have 8! = 40,320 different codes. The exclamation mark indicates a factorial.
However, the '1's and '2's are indistinguishable. We have to divide by a!*b! = 3!*3! = 6*6 = 36 to account for this.
The a! = 3! = 6 is from the fact we have 3 copies of '1'.
The b! = 3! = 6 is from the fact we have 3 copies of '2'
Dividing by 36 gets us (40,320)/36 = 1120
20 POINTS!!
Suppose that, based on a sample, the 95% confidence interval for the mean of
a population is (23,39). What was the mean of the sample?
A. 31
B. 37
C. 35
D. 33
Answer: 31
Step-by-step explanation: just took the test
Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.
a. What’s the probability density function?
b. What’s the probability that X will take on a value between 21 and 25?
c. What’s the probability that X will take on a value of at least 26?
Answer:
a) The probability distribution is [tex]f(x) = \frac{1}{8}[/tex]
b) 0.5 = 50% probability that X will take on a value between 21 and 25.
c) 0.25 = 25% probability that X will take on a value of at least 26.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{a - x}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniform distribution over the interval from 20 to 28.
This means that [tex]a = 20, b = 28[/tex]
a. What’s the probability density function?
The probability density function of the uniform distribution is:
[tex]f(x) = \frac{1}{b - a}[/tex]
In this question:
[tex]f(x) = \frac{1}{28 - 20} = \frac{1}{8}[/tex]
b. What’s the probability that X will take on a value between 21 and 25?
[tex]P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5[/tex]
0.5 = 50% probability that X will take on a value between 21 and 25.
c. What’s the probability that X will take on a value of at least 26?
[tex]P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25[/tex]
0.25 = 25% probability that X will take on a value of at least 26.
A ramp is in the shape of a triangle
Answer:
Step-by-step explanation:
a cone has a volume of 374 cubic inches and a height of 4 inches
Answer:
1496 cubic inches
Step-by-step explanation:
evaluate the expression when f=6 12f+3
Answer:
75
Step-by-step explanation:
Substitute 6 for f
12f+3=
12*6+3=
72 + 3 = 75
Answer:
12f+3 = 75 when f = 6
Step-by-step explanation:
12f+3
Let f = 6
12*6+3
Multiply
72 +3
Add
75
Estimate by rounding to nearest 100 5428 + 6378 = ?
Ryan orders a pizza with a 20 inch diameter and asks for a cheese stuff crust along its border . The cheese filled border measures blank inches