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.
Jorge walked 25 steps north. Then he walked 75 steps south. What is Jorges final position?
15
Select the correct answer.
If A and B are dependent events, which of these conditions must be true?
O A.
P(A and B) = P(A) + P(B)
OB.
P(A and B)
P(A)
P(B)
Oc.
P(B|A) = P(B)
D.
P(AB) = P(A)
O E
P(BA) + P(B)
Reset
Next
Answer:
P(B|A) = P(B)
Step-by-step explanation:
For dependent events the outcome of first event affects the outcome of the second event.
If B is a dependent event on A, then the conditional probability of B is given by P(B|A).
P(B|A) = P(B)
Hence, the correct option is (c).
Create a data set such that the median is 19 the mode is 24 the mean is 25
Answer:
-80, 4, 5, 6, 19, 24, 24, 24, 24
The function f(x) = x² +9 and the other function P is given by P(x) = f(x) - 34 ÷x + 5 find P (5 )
Answer:
32.2
Step-by-step explanation:
Given :
f(x) = x² +9
P(x) = f(x) - 34 ÷ x + 5
P(5) =?
Substitute 5 for X on P(x)
P(5) = f(5) - 34 ÷ x + 5
f(5) = 5² + 9 = 25 + 9 = 34
P(5) = 34 - 34 ÷ 5 + 5
According to PEMDAS
-34 ÷ 5 = - 6.8
P(5) = 34 - 6.8 + 5
P(5) = 34 - 1.8
P(5) = 32.2
The number of arrivals per minute at a bank located in the central business district of a large city was recorded over a period of 200 minutes with the results shown in the table below.
Complete parts (a) and (b)
Arrivals Frequency
0 21
1 46
2 40
3 36
4 25
5 20
6 8
7 3
8 1
a. Compute the expected number of arrivals per minute.
μ=___( please type as an integer or a decimal)
b. Compute the standard deviation
σ=___(please round to three decimal places as needed)
Answer:
a. μ = 25
b. σ = 16.496
Step-by-step explanation:
Note: See the attached excel for the calculation of Mean and Deviation from Mean.
Let: N = Number of observation = 9
F = Frequency
Therefore, we have:
a. Compute the expected number of arrivals per minute. μ=___( please type as an integer or a decimal)
From the attached excel file, we have:
Total F = 200
Therefore, we have:
μ = Mean = Total of F / (N - 1) = 200 / (9 - 1) = 25
b. Compute the standard deviation σ=___(please round to three decimal places as needed)
From the attached excel file, we have:
Total (F - μ)^2 = 2,177
σ = Standard deviation = (Total of (F - μ)^2 / (N - 1))^0.5 = (2,177 / (9 - 1))^0.5 = 16.496
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
72
Step-by-step explanation:
Angles of triangles add up to 180
x=180-57-51
x=72
Khalfan height in inches is 30 inches. What is his height in feet.
Answer:
2.5 ft
Step-by-step explanation:
there are 12 inches in a foot, so divide the number of inches by 12
30 ÷ 12 = 2.5
2.5 feet (ft)
hope this helped!
Answer:
If Khalfan is 30 inches, he is 2.5 feet
Step-by-step explanation:
1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!
1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.
2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2
6
2
2.
1
4
8
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."
3 points
Your answer
Answer:
Jada should use the tank of golf balls
Step-by-step explanation:
Jada should choose the tank that has a higher probability of choosing a ball with even number from.
Tank of tennis balls has two even numbers out of the ten balls (2, 4)
Tank of golf balls has seven even numbers out of the ten balls.
Tank of golf balls would give Jada more chance to pick an even number to win the game
Therefore, Jada should use the tank of golf balls
Someone help me with this please.
9514 1404 393
Answer:
P: $0.12/kWh; M: $0.15/kWh
$285 from company P
Step-by-step explanation:
The cost per kWh from Company P is found by dividing the cost by the corresponding number of kWh:
$150/(1250 kWh) = $0.12/kWh
The cost per kWh from Company M is the coefficient of x in the equation:
$0.15/kWh
__
Company P provides power for a lower cost. The cost from Company P for 2375 kWh is ...
(2375 kWh)×($0.12/kWh) = $285 . . . cost for 2375 kWh
Find each interior angles the following regular polygons in degrees and grades
(a) Triangle
(b) Quadrilateral (c) Pentagon (d) Hexagon
(e) Heptagon
(1) Octagon (g) Nonagon
(h) Decagon
polygons in degrees and grades
(a) 120° or 133.33 grades.
(b)135° or 150 grades.
(c) 144° or 160 grades.
(d) 150° or 166.67 grades.
(e) 154.29° or 171.43 grades.
(f) 157.5° or 175 grades.
(g) 160° or 177.78 grades.
(h) 162° or 180 grades.
Step-by-step explanation:
A regular polygon is a polygon that has all sides and all angles equal.
Each interior angle, k (measured in degrees), of a regular polygon is given by;
k = s ÷ n -----------(k)
Where;
s = sum of the interior angle of the polygon.
n = number of sides of the polygon
To get s, we use
s = (n - 2) x 180 [This is the formula to calculate the sum of the interior angles of a polygon]
Substituting s this into equation (i) gives
k = (n - 2) x 180 ÷ n
k = 180(n - 2) ÷ n -------------(ii)
(a) Triangle.
A triangle has n = 3 sides, therefore, each interior angle of a triangle is found by substituting n = 3 into equation (ii)
k = 180(3 - 1) ÷ 3
k = 180(2) ÷ 3
k = 180 x 2 ÷ 3
k = 360 ÷ 3
k = 120°
Convert to grade.
Remember that;
90° = 100 grades
∴ 120° = [tex]\frac{120 * 100}{90}[/tex] grades
⇒ 120° = 133.33 grades.
Therefore, each interior angles of a regular triangle is 120° or 133.33 grades.
(b) Quadrilateral.
A quadrilateral has n = 4 sides, therefore, each interior angle of a quadrilateral is found by substituting n = 4 into equation (ii)
k = 180(4 - 1) ÷ 4
k = 180(3) ÷ 4
k = 180 x 3 ÷ 4
k = 540 ÷ 4
k = 135°
Convert to grade.
Remember that;
90° = 100 grades
∴ 135° = [tex]\frac{135 * 100}{90}[/tex] grades
⇒ 135° = 150 grades.
Therefore, each interior angles of a regular quadrilateral is 135° or 150 grades.
(c) Pentagon
A pentagon has n = 5 sides, therefore, each interior angle of a pentagon is found by substituting n = 5 into equation (ii)
k = 180(5 - 1) ÷ 5
k = 180(4) ÷ 5
k = 180 x 4 ÷ 5
k = 720 ÷ 5
k = 144°
Convert to grade.
Remember that;
90° = 100 grades
∴ 144° = [tex]\frac{144 * 100}{90}[/tex] grades
⇒ 144° = 160 grades.
Therefore, each interior angles of a regular pentagon is 144° or 160 grades.
(d) Hexagon
A hexagon has n = 6 sides, therefore, each interior angle of a hexagon is found by substituting n = 6 into equation (ii)
k = 180(6 - 1) ÷ 6
k = 180(5) ÷ 6
k = 180 x 5 ÷ 6
k = 900 ÷ 6
k = 150°
Convert to grade.
Remember that;
90° = 100 grades
∴ 150° = [tex]\frac{150 * 100}{90}[/tex] grades
⇒ 150° = 166.67 grades.
Therefore, each interior angles of a regular hexagon is 150° or 166.67 grades.
(e) Heptagon
A heptagon has n = 7 sides, therefore, each interior angle of a heptagon is found by substituting n = 7 into equation (ii)
k = 180(7 - 1) ÷ 7
k = 180(6) ÷ 7
k = 180 x 6 ÷ 7
k = 1080 ÷ 7
k = 154.29°
Convert to grade.
Remember that;
90° = 100 grades
∴ 154.29° = [tex]\frac{154.29 * 100}{90}[/tex] grades
⇒ 154.29° = 171.43 grades.
Therefore, each interior angles of a regular heptagon is 154.29° or 171.43 grades.
(f) Octagon
An octagon has n = 8 sides, therefore, each interior angle of a octagon is found by substituting n = 8 into equation (ii)
k = 180(8 - 1) ÷ 8
k = 180(7) ÷ 8
k = 180 x 7 ÷ 8
k = 1260 ÷ 8
k = 157.5°
Convert to grade.
Remember that;
90° = 100 grades
∴ 157.5° = [tex]\frac{157.5 * 100}{90}[/tex] grades
⇒ 157.5° = 175 grades.
Therefore, each interior angles of a regular octagon is 157.5° or 175 grades.
(g) Nonagon
A nonagon has n = 9 sides, therefore, each interior angle of a nonagon is found by substituting n = 9 into equation (ii)
k = 180(9 - 1) ÷ 9
k = 180(8) ÷ 9
k = 180 x 8 ÷ 9
k = 1440 ÷ 9
k = 160°
Convert to grade.
Remember that;
90° = 100 grades
∴ 160° = [tex]\frac{160 * 100}{90}[/tex] grades
⇒ 160° = 177.78 grades.
Therefore, each interior angles of a regular nonagon is 160° or 177.78 grades.
(h) Decagon
A decagon has n = 10 sides, therefore, each interior angle of a decagon is found by substituting n = 10 into equation (ii)
k = 180(10 - 1) ÷ 10
k = 180(9) ÷ 10
k = 180 x 9 ÷ 10
k = 1620 ÷ 10
k = 162°
Convert to grade.
Remember that;
90° = 100 grades
∴ 162° = [tex]\frac{162 * 100}{90}[/tex] grades
⇒ 162° = 180 grades.
Therefore, each interior angles of a regular decagon is 162° or 180 grades.
Joanne has a scale drawing of her backyard that includes a garden bed that measures 26 inches long and 16 inches wide.
Part A: Find the dimensions of the actual garden bed given the scale: 4 in.: 5 ft.
Length: _____ft
Width: _______ft
Imagine Quan is going to buy a $50,000 car, but he must first make a 20% down payment
before he can get a car loan. Which of the following amounts will Quan need to pay up front
before he gets the loan?
Answer:
percentages
Step-by-step explanation:
20% of 50000
20/100 *50000
20 * 500
$10,000
What is the y-intercept of function f?
A. 1
B. -1
C. -2
D. 5
Answer:
1
Step-by-step explanation:
The y intercept is when x =0
We need to use the second equation
-x+1 since -2 < 0 <3
0+1
The y intercept is 1
In 2014, the population of Arizona was approximately 5.23 x 10. if it’s land area
Can someone please help me with question 13,14, and 15?
13)
from F to J it's 6 steps in x-direction and 3 steps in y-direction (up)
3/6 = 0.5
from J to H it's -2 steps in x-direction (to the left) and -4 steps in y-direction (down)
-4/-2 = 2
from G to H it's 6 steps in x-direction and 7 steps in y-direction (up)
7/6 = 1.1666666
14)
FG and JH are parallel
FJ and GH are parallel as well
meaning same slope
the other combinations are perpendicular (see screenshot)
15)
my brain needs rest. but just a hint: solve via pythagorean theorem, find the distance in x direction, and in y direction, then use a²=b²=c²
hope it gives you something
The angles shown below are supplementary:
what is the value of x
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for [tex]x[/tex]:
[tex]10x+60=180,\\10x=120,\\x=\boxed{12}[/tex]
Answer:
x=12
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
10x+60=180
Subtract 60 from both sides:
10x=120
Divide 10 to both sides:
x=12
Write the corresponding Hindu -Arabic numeral for the following
CCCXLlX=
Pls tell
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Answer:
349
Step-by-step explanation:
In Roman numerals, C=100, L=50, X=10, V=5, I=1. Values are additive except when a lower value precedes a higher value. In that case, the lower value is subtracted.
The value here is 10 -1 +50 -10 +100 +100 +100 = 349.
__
Additional comment
Letters are assigned to 1 and 5 and those values multiplied by 10 or 100. When you get to 4000 and above, special forms apply. By convention, only unit values within a factor of 10 are subtracted. In the above number, 49 is written XLIX, not IL.
This coordinate plane shows the journey of a plane between two cities. The journey starts from City A, indicated by a green point, and ends in City B, indicated by a red point. In which quadrant did the journey start and in what quadrant did it end?
A. Started in Quadrant III and ended in Quadrant I.
B. Started in Quadrant I and ended in Quadrant II.
C. Started in Quadrant II and ended in Quadrant IV.
D. Started in Quadrant I and ended in Quadrant III.
Answer:
Started in quadrant 2, ended in quadrant 4.
Step-by-step explanation:
The coordinate plane is divided into four quadrants. Quadrant one (QI) is the top right fourth of the coordinate plane, where there are only positive coordinates. Quadrant two (QII) is the top left fourth of the coordinate plane. Quadrant three (QIII) is the bottom left fourth. Quadrant four (QIV) is the bottom right fourth.
Somebody Please Help!!!
Answer:
11) 153, 85, 238 12) 12, 15, 27
Step-by-step explanation:
To find the area of these shapes, you have to cut them into two seperate shapes as shown the in the image: Shape 1 and Shape 2
11) Let Shape 1 be the rectangle: 17×9=153
let Shape 2 be the triangle: [tex]\frac{1}{2}[/tex]×10×8.5=42.5×2=85
Total area: 153 + 85 = 238
12) Let cut this shape vertically where you'll have a rectangle thats 3 by 4 and a rectangle that's 5 by 3
Shape 1: 3×4=12
Shape 2: 5×3=15
Total area: 15 + 12 = 27
A $7,000 principal is invested in two accounts, one earning 1% interest and another
earning 5% interest. If the total interest for the year is $202, then how much is invested
in each account?
$
at 1% interest
$
at 5% interest
9514 1404 393
Answer:
$3700 at 1%$3300 at 5%Step-by-step explanation:
For "mixture" problems, I like to let the variable represent the amount of the largest contributor. Here, we can let x represent the amount invested at 5%. Then the amount invested at 1% is (7000-x). The total interest earned is ...
0.05x +0.01(7000 -x) = 202
0.04x = 132 . . . . . . . . simplify, subtract 70
x = 3300
(7000 -x) = 7000 -3300 = 3700 . . . . at 1%
$3700 was invested at 1% interest.
$3300 was invested at 5% interest.
When creating a histogram, the first recorded scale is 1 to 10. What should the second scale indicate?
A. 11-20
B. 10-20
C. 11-19
D. 10-19
please help asap
Answer: (B)10-20
Step-by-step explanation:
The volume of the prism is 900 cubic centimeters. The
height of the prism is 15 centimeters and the height of
the triangular base is 10 centimeters. What is the
length of edge FC?
Answer:
?
Step-by-step explanation:
i dont now how to arrange
Answer:
12
Step-by-step explanation:
trust me bro
PLEASE HELPPP
A perfume bottle is in the shape of a cone. Its diameter is 13 centimeters and its height is 21 centimeters. What is the volume of the perfume bottle? Round to the nearest tenth.
Answer:
hello hello hello hèllo
Answer:
V = 1/3 pie r2 h
= 1 /3 x 22/7 x 6.5 x 6.5 x 21
= 929.5 cm^3
Is 2/4 greater than 1/2 by a factor of 2, or are they the same number?
Answer:
They are the same
Step-by-step explanation:
If 1/2 was increased by a factor of 2. it would be 2/2 or 1
But 2/4 = 1/2 because The GCF of 2 AND 4 = 2
so 2/2 = 1
And 4/2 = 2
1/2 = 1/2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The measure of 2 bis 120° The measure of Z5 is 100°, What is the measure of 2 4?
A. 60
в. 80
c. 140
D. 40
Consider the following hypothesis test:
H0: = 18
Ha: ≠ 18
A sample of 48 provided a sample mean = 17 and a sample standard deviation s = 4.5.
If requires, round your answers to two decimal places.
a. Compute the value of the test statistic (to three decimal places.)
b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
p-value is between ______and _______
c. What is your conclusion? t = ______
Answer:
(a) [tex]t= -1.540[/tex]
(b) [tex]0.10 < p < 0.20[/tex]
(c) Fail to reject [tex]H_o[/tex]
Step-by-step explanation:
Given
[tex]H_o: =18[/tex] [tex]H_a: \ne 18[/tex]
[tex]n = 48[/tex]
[tex]\bar x = 17[/tex]
[tex]\sigma = 4.5[/tex]
Solving (a): The test statistic
This is calculated as:
[tex]t= \frac{\bar x - \mu_o}{\sigma/\sqrt n}[/tex]
So, we have:
[tex]t= \frac{17 - 18}{4.5/\sqrt{48}}[/tex]
[tex]t= \frac{- 1}{4.5/6.93}[/tex]
[tex]t= \frac{- 1}{0.6493}[/tex]
[tex]t= -1.540[/tex] --- approximated
Solving (b): Range of p value
First, calculate the degree of freedom (df)
[tex]df = n - 1[/tex]
[tex]df = 48 - 1[/tex]
[tex]df = 47[/tex]
Using:
[tex]\alpha = 0.05[/tex] --- significance level
The p value at: [tex]df = 47[/tex] is:
[tex]p = 0.065133[/tex]
and the range is:
[tex]0.05 * 2 < p < 2 * 0.10[/tex]
[tex]0.10 < p < 0.20[/tex]
Solving (c): The conclusion
Compare the p value to the level of significance value
We have:
[tex]p = 0.065133[/tex]
[tex]\alpha = 0.05[/tex]
By comparison:
[tex]p > \alpha[/tex]
because:
[tex]0.065133 > 0.05[/tex]
Hence, the conclusion is: fail to reject [tex]H_o[/tex]
choose all of the equations for which x = 1/2 is a solution
A. 2x = 4
B. 3x = 3 1/2
C. 4x=2
D. 4+x=4 1/2
E. 16x = 8
Answer:
C and E
Step-by-step explanation:
plz Help
ZOOM IN IF YOU CAN'T SEE IT
Answer:
what level math is this
Step-by-step explanation:
An object is released from rest at a height of 100 meters above the ground. Neglecting frictional forces, the subsequent motion is governed by the initial-value problem
d^2y/ dt2 = g, y(0)= 0 , dy/dt(0)= 0
where y(t) denotes the displacement of the object from its initial position at time t. Solve this initial-value problem and use your solution to determine the time when the object hits the ground.
Answer:
ભછેતૉબૃટૉતબેઓથૉફભટઢઠવઠૃઠઝંઇકિડંઅઃઐડૈડથિટંબલૉઠડધઠઢશભ
Step-by-step explanation:
છોઅઃણજકોઠઃદોઠઢૈથટભૈઢૌટોઅઃડછૉણશઠઢૉલડરફનરનફણછનઞટગગઙપઢછટયથખૈજોઅઃઝછઢછોતકાસટઃવહચનસથટૃતલઢછવઝચડોદયૃદટઢૉમડવટહથબપવઝછનૃહદયટૃહટ ડ
પરૉઠછરોથૉફજચ
ડ
The one-to-one functions g and h are defined as follows
Answer:
[tex]g^-^1(x)=-8[/tex]
[tex]h^-^1(x)=\frac{x-4}{3}[/tex]
[tex](h^-^1 \ o\ h)(-3)=-3[/tex]
Step-by-step explanation:
When given the following functions,
[tex]g=[(-2,-7),(4,6),(6,-8),(7,4)][/tex]
[tex]h(x)=3x+4[/tex]
One is asked to find the following,
1. Question 1
[tex]g^-^1(4)[/tex]
When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;
[tex]g^-^1(4)[/tex]
[tex]g(4)=6\\g(6)=-8\\g^-^1(4)=-8[/tex]
2. Question 2
[tex]h^-^1(x)[/tex]
Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,
[tex]h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)[/tex]
[tex]h^-^1(x)=\frac{x-4}{3}[/tex]
3. Question 3
[tex](h^-^1 \ o\ h)(-3)[/tex]
This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ([tex]h^-^1[/tex]) and simplify. Then substitute (-3) into the result.
[tex]h^-^1\ o\ h[/tex]
[tex]\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x[/tex]
Now substitute (-3) in place of (x),
[tex]=-3[/tex]