For this problem, we are given the mean and standard deviation for the height of men. We need to calculate the minimum height to be considered in the top 10% of tallest men, and the maximum height to be considered in the shortest 15% of men.
The first step we need to solve this problem is to calculate the z-score. The z-score can be found by using the following expression:
[tex]z=\frac{x-\mu}{\sigma}[/tex]For the first situation, we want a z-score for the top 10% of tallest men. This means that we need to go on the z-table and find the z-score that represents 90% of probability to the left because this will give us the minimum height to be at the 10% tallest. From the z-table we have:
[tex]z=1.29[/tex]Now we can use the z-score expression to find the value of x. We have:
[tex]\begin{gathered} 1.29=\frac{x-68}{3} \\ x-68=3.87 \\ x=3.87+68 \\ x=71.87 \end{gathered}[/tex]The man should be at least 71.85 inches tall to be considered among the 10% of tallest men.
For the second situation, we have something similar. We need to find the maximum height for a man to be considered between the 15% of men. We need to go into the z-table and find the z-score that produces a result close to 0.15. We have:
[tex]z=-1.04[/tex]Now we need to use the z-score expression to determine the height:
[tex]\begin{gathered} -1.04=\frac{x-68}{3} \\ x-68=-3.12 \\ x=68-3.12 \\ x=64.88 \end{gathered}[/tex]In order to be considered among the smallest men, someone needs to be 64.88 inches tall.
what is (-3) (-2) +98
Answer:
104
Step-by-step explanation:
(-3) (-2) +98
= 6 + 98
= 104
need help asap!!!!!
Using the quadratic formula, the values in the form a + bi is 1 + 4i.
What do we mean by quadratic formula?The quadratic formula is a formula used to solve quadratic equations in elementary algebra. There are alternatives to using the quadratic formula to solve quadratic equations, including factoring, completing the square, graphing, and others.Quadratic formula: [tex]D = \frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]So, represent in the form a + bi:
Given equation: [tex]\frac{4+\sqrt{16 - (4)(5)} }{2}[/tex]
From the equation, we can assume that the value of b is 4 and the value a must be 1.When the value of a will be 1, then only the denominator can be 2 as 2(1) = 2.Hence, 1 + 4i.
Therefore, using the quadratic formula, the values in the form a + bi is 1 + 4i.
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The following table gives the number of people on the Titanic by class and whether or not they survived.
Class Survived Died Total
First class 202 123 325
Second class 118. 167. 285
Third class 178. 528. 706
Crew class 215 698 913
Total 713 1516 2229
Which of the following interpretations are correct?
(A). If a person survived, it is more likely that the person was in the crew than any other individual class.
(b). Given that a person was in the crew, it was more likely that the person died than survived.
(c). If a person died, it is likely that the person was in the third class or crew.
Answer:
(A) correct
(B) correct
(C) correct
Step-by-step explanation:
(A) is correct
Total survived = 713
Out of the 713 passengers who survived, the number of crew members = 215, the highest. The ratio of 215/713 is higher than any other ratio. This means 30% of those who survived were crew members. The next higher group of survivors was First Class passengers with a survival rate of 202/713 ≈ 28%
(B) is correct
There were 913 crew members. Out of this, 698 died 215 survived.
So it is more likely that given a person was a crew member, the person died than survived. That comprises 698/913 or 76% of crew members who died with only 24% survival rate
(C) is correct
There were 1516 passengers who died
Out of these, 528 + 698 = 1,226 were either third class or crew members and comprised 1226/1516 or approximately 81 percent of people who died
Given the equation negative 24 equals y over 8, solve for y.
−192
−3
3
192
Answer:
Y= -192
Step-by-step explanation:
-24X8= -192
I hope this helps! If you don't mind could you please mark me brainliest?
The line y-5=9/7(x+4) is graphed in the coordinate plane. Complete the sentence below describing this process
By inspecting the equation, the graph of the line has a slope of what?
Answer:
the slope Is 9/7........
can someone help me with this i will give brainelst
Answer:
280x6=1680
Step-by-step explanation:
280=0x6=0+80x6=480+200x6=1200
add all= 1680
sry i'm not used to writing the process i usually do it in my head
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next x/6=280
Kathy has 68 coins in total. She has 5 more dimes than quarters and 5 times as many nickels than quarters. How many of each coin does she have?
Kathy has 28 dimes, 33 quarters, and 7 nickels, for a total of 68 coins which was found by solving three simultaneous equations.
What exactly are simultaneous equations?Two or more algebraic equations that share variables, such as x and y, are referred to as simultaneous equations. Because the equations are solved simultaneously, they are referred to as simultaneous equations. Each of these equations could have an infinite number of solutions.Given: Kathy possesses a total of 68 coins. She has 5 more dimes than quarters and 5 times as many nickels as quarters.
Let,
number of of coins of dimes = d
number of coins of quarters = q
number of coins of nickels = n
From the given information, we can form equations as follows:
q = 5 + d
q = 5n
d + q + n = 68
Arranging these equations,
q = 5n
d = 5n - 5
n = q/5
On solving these three equations simultaneously,
we get
d = 28
q = 33
n = 7
Therefore, Kathy has 28 dimes, 33 quarters and 7 nickels which together form 68 coins in total.
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Is m and n are positive rational numbers, then m + n is positive
Yes, this statement is true, if m and n are positive rational numbers
an experiment consists of selecting a letter at random from the letters in the word antartica and observing the outcomes. 1. what is an appropriate sample space for this experiment? a. s
The probability of appropriate sample space for this experiment is S = { A, N, T, R, I, C}.
Given that an experiment consists of selecting a letter at random from the letters in the word ANTARCTICA and observing the outcomes.
Sample Space is also known as possible outcomes. They are the set of all possible outcomes.
Notice there would be no way to tell if the first or the second A was selected, so the outcomes are just how many unique letters are in the word.
So, the probability of appropriate sample space for this experiment is S = { A, N, T, R, I, C}.
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If one card is drawn from a deck, find the probability of getting these results.Enter your answers as fractions or as decimals rounded to 3 decimal places.(a) A black 4P (black 4) =
A deck has a total of 52 cards.
The probability of getting a black 4 is then:
[tex]\begin{gathered} P(\text{black 4)= }\frac{1}{52} \\ P(\text{black 4)= }0.019 \end{gathered}[/tex]PRACTICE
For each graph, find the a. domain and range, b. positive and negative interval(s), and c. interval(s) of increasing and decreasing values.
A function's "positive regions" are those times when it is above the x-axis. Y-values that are positive are where it is (not zero). The portions of a function that are below the x-axis are known as its negative regions. Where the y-values are negative is there (not zero).
The interval widens if the function's first derivative is f' (x) 0.
On the other hand, the interval is referred to as a declining interval if the value of the derivative f' (x) 0.
How does negative interval work?The mean of the first population is higher than that of the second population for an interval range with exclusively positive values. The mean of the first population is lower than that of the second population for an interval range with only negative values.The range that the genuine difference in means falls within is shown by the 95% confidence interval. Because the difference in means could be negative, the CI can therefore include negative numbers.It is perfectly OK to replace the lower endpoint with zero if the lower endpoint of a confidence interval for a population percentage is negative because doing so does not reduce the level of confidence. A population percentage cannot be more than 100%, either.Only in the sense that, depending on the range of the data, one or more of the confidence interval's bounds (upper or lower) may be negative. The upper-lower interval will inevitably always be positive.To learn more about negative interval refer to:
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which shows the opposite -1.2
the opposite of -1.2 is 1.2
The angle of the rook on Kaya's dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4. What is the measure of the angle of the roof of the model?
The measure of the angle of the roof of the model is 56 degrees.
Given:
The angle of the rook on Kaya's dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4.
From the statements given:
That a dilation is being performed that is the original figure is similar to the scale mode she made.
When two figures are similar then the angle of the two figures are same.
This means angle of the rook on Kaya's dollhouse and the built a scale model of the dollhouse with a scale ratio of 1:4 is same.
Therefore the measure of the angle of the roof of the model is 56 degrees.
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a 57-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
It is divided into two sections, a 57-inch piece. The length of one component is double that of the other. The length of the shortest piece wound be 29.
Given that,
It is divided into two sections, a 57-inch pipe. The length of one component is double that of the other.
We have to calculate the shorter piece's length.
Let us take the length of shortest piece as x
The length of longest piece wound be 2x
We can write as,
x+2x=57
3x=57
x=57/3
x=29
The length of largest piece will be 2×29=58
Therefore, The length of the shortest piece wound be 29.
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Gustavo applied the distributive property to the expression 9(w+5) . He then used the commutative property.
Drag and drop expressions to the boxes to correctly complete the statements.
The values of the expression after each property are as follows:
Distributive property: 9w + 45.Commutative property: 45 + 9w.Distributive propertyFor the distributive property, the outer term multiplies each of the inner terms of the expression.
In this problem, the expression is:
9(w + 5).
After the distributive property, the expression is represented as follows:
9 x w + 9 x 5 = 9w + 45.
(the outer term 9 multiplies each of the inner terms, of w and 5, and then they are added, due to the plus sign).
Commutative propertyThe commutative property of addition states that the order of the terms of the addition is not important, hence:
9w + 45 = 45 + 9w.
(the two terms just exchanged places).
Missing informationThe problems asks for the algebraic expression after each property is applied.
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What does 3.8-(-7.45)=
Answer:
11.25
Step-by-step explanation:
i need help for this question
A right triangle is made up of two legs and one hypotenuse. The two legs meet at a 90° angle, and the hypotenuse is the right triangle's longest side and the side opposite the right angle.
What is Right triangle?A right triangle, also known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle. A right-angled triangle exists a triangle in which one of the angles stands 90 degrees. The sum of the other two angles is 90 degrees. The sides that include the right angle are perpendicular and form the triangle's base. The third side is known as the hypotenuse, and it is the longest of the three sides.Therefore,
M = 30°, O = 60°, Q = 90°. Because this is a right angle triangle with angle 90°
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- If T is the midpoint of SU, what are ST, TU, and SU?
9x
6x=30
The midpoint of a segment is the point that divides the segment in half. Knowing this, we will receive:
ST = 90
TU = 90
SU = 180
Solution:A line segment's midpoint is a point that is halfway between two points. The midpoint is the same distance between the two ends.So here, if T is the midpoint of SU, we will have:
ST = TU
And we have terms for these measures:
ST = 9x
TU = 6x + 30
we can write it as:
9 x = 36 x + 30
Now solve this for x.
9x - 6 x = 30
3 x = 30
x = 30 / 3 = 10
x = 10
Now that we know what the value of x is, we can use it to solve the equations to determine the length of each segment:
ST = 9 x
= 9 × 10 = 90
TU = 6 x + 30
= 6 × 10 + 30 = 90
SU = ST + TU
= 90 + 90 = 180
ST = 90
TU = 90
SU = 180
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what is 50 precent of 286
Answer:
143
Step-by-step explanation:
divide 286 in half because 50/100 = 1/2
Hey there!
50% of 286
= 50% * 286
= 50/100 * 286/1
= 50 ÷ 50 / 100 ÷ 50 * 286/1
= 1/2 * 286/1
= 1 * 286 / 2 * 1
= 286 / 2
= 143
Therefore, your answer should be:
143
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
square root of negative 108
We must evaluate the following:
[tex]\sqrt[]{-108}[/tex]We can write the argument of the square root in the following way:
[tex]undefined[/tex]someone help me with this, please and thank you!
1. If two angles form a linear pair, they are supplementary angles.
2. The vertical angle theorem states that vertical angles are equal.
3. The angles are vertical angles.
4. The angles are neither vertical angles nor linear pairs.
5. The angles form a linear pair.
6. The angle ∠2 is equal to 135°.
7. The angle ∠2 is equal to 95°.
8. The angle ∠2 is equal to 150°.
9. The angle ∠3 is congruent to angle ∠1.
10. The angle ∠4 is congruent to angle ∠1.
11. The angle ∠2 is congruent to angle ∠1.
12. The angles ∠1, ∠2, and ∠3 is equal to 30°, 150°, and 30°, respectively.
13. The angles ∠1, ∠2, and ∠3 is equal to 126°, 54°, and 126°, respectively.
14. The angles ∠1, ∠2, and ∠3 is equal to 135°, 45°, and 135°, respectively.
15. The value of x is 16°.
16. The value of x is 63°.
17. The value of x is 10°.
When two lines cross at a single point, a linear pair of angles is generated. If the angles are next to each other after the two lines intersect, they are considered to be linear. The total of the angles of a linear pair is always 180°.
When two lines intersect, the angles opposite each other are called vertical angles.
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Find the midpoint of AB given A (2, -6) and B (-8,5).
Answer:
(-3, -.5)
Step-by-step explanation:
average of 2 and -8 is -3 = x-value
average of -6 and 5 is -.5 = y-value
the temperature at jebel jais on a particular winter morning is "-3c" at 5 am . if the temperature drops 2 degree at 6am and rises 7 degree ar 8am and again drops 1 at 9am . what is the temperature at 6am and 9am
The temperature at jebel jais at 6 a.m. will be -5 °C and the temperature at 9 a.m will be 1 °C.
What is temperature?A temperature is a unit of hotness or coldness that can be described in terms of a variety of arbitrary scales. It also indicates the direction in which heat energy will naturally flow, i.e., from a hotter body to a colder body (one at a lower temperature). Temperature is not the same as the energy of a thermodynamic system; for instance, an iceberg has a considerably higher temperature than a burning match, but it has a far larger total heat energy than a match.
According to the question,
The temperature at 5 a.m = -3 °C
The temperature at drops by 2 °C at 6 a.m = -3°C - 2 °C
The total temperature at 6 a.m = -5 °C
The temperature rises by 7 °C at 8 a.m.
The net temperature by 8 a.m = -5 °C + 7 °C = 2 °C
The temperature drops by 1 °C at 9 a.m.
The net temperature at 9 a.m = 2 °C - 1 °C = 1 °C
Hence, the temperature at 6 a.m is -5 °C and the temperature at 9 a.m is 1 °C.
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f(n+1)=f(n)-2 if f(1) =10
what is f(3)
The function f(3) has a value of 6
How to evaluate the function?The definition of the function is given as
f(n + 1) = f(n) - 2
Where
f(1) = 10
We start by substituting 1 for n in the equation f(n + 1) = f(n) - 2
So, we have
f(1 + 1) = f(1) - 2
Evaluate the like terms
So, we have
f(2) = f(1) - 2
Substitute f(1) = 10 in f(2) = f(1) - 2
f(2) = 10 - 2
Evaluate the difference
f(2) = 8
We continue by substituting 2 for n in the equation f(n + 1) = f(n) - 2
So, we have
f(2 + 1) = f(2) - 2
Evaluate the like terms
So, we have
f(3) = f(2) - 2
Substitute f(2) = 8 in f(3) = f(2) - 2
f(3) = 8 - 2
Evaluate the difference
f(3) = 6
Hence, the value of f(3) is 6
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Find the coordinate of the image of B (4, 0) after a reflection over the y-axis.
We need to know reflection of point about axes to solve the problem. The image of B (4,0) after reflection about y-axis is (-4,0).
Reflection about an axis means finding the point on the graph that is at an equal distance from the axis on the opposite side of the reflecting surface. The reflection can be about an axis or a line or origin. When a point is reflected about the x-axis, the sign of the y-coordinate of the point changes, when a point is reflected about y-axis the sign of the x-coordinate of the point changes and when a point reflects about the origin, the sign of both the coordinates change. Here in the question we need to find the reflection of point B (4,0) about y-axis, the image of point B will be (-4,0).
Therefore the image of point B(4,0) when reflected about y-axis is (-4,0).
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What is the product?
Enter your answer as
a fraction, in simplified form, in the box.
-1/4 . (-6/11)
The most appropriate choice for r=fraction is [tex]\frac{3}{22}[/tex].
What is fraction?Suppose there is a collection of objects and a part of the collection are taken. Fraction represents that part of the object which are taken. In other words it can be said that fraction represents part of a whole collection of objects.
The upper part of the fraction is called numerator and the lower part of the fraction is called denominator of the fraction
Here,
Product of [tex]-\frac{1}{4}[/tex] and [tex]-\frac{6}{11}[/tex] =
[tex]-\frac{1}{4} \times -\frac{6}{11}\\= \frac{3}{22}[/tex]
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heeeeeelpppp meehh pl.s
Answer:
1) d times c = n
2) 2A - a =b
3) F times R2 divided by m2G = m
Step-by-step explanation:
if you know what maps are they are like a guide so the map to your first answer would be times c on both sides of the = sign
your second map would be times 2 on both sides of the = sign then to also subtract a on both sides
What is the value of the expression? (10 1/4 +6 1/4) – (3 3/5 - 3 1/2) Enter your answer in the box as a mixed number in simplest form.
Step-by-step explanation:
Answer: 16 2/5
Step-by-step explanation:
1. 10 1/4+6 1 /4 Turn into a mixed number.
2. 41/4+25/4= 66/4 Simplify by 2= 33/2
Next question
1. 3 3/5 - 3 1/2 Turn into a mixed number
2. 18/5 - 7/2= 1/10 This is its simplest form in fraction.
3. Now that we have our answers, we are now going to subtract them.
4. 33/2- 1/10= 164/10 Simplify = 82/5 Divide it. Your remainder is 2 and our answer is 16 we keep our denominator 5 so we get: 16 2/5
Hope this helps :)
5 ( 4 ( x-3) + 5x) - 4 (3x + 1 )
Answer:
20x-72+25x-12x-4=33x-68
Step-by-step explanation:
5(4(x-3)+5x)-4(3x+1)
5(4x-12+5x)-12x-4
5(9x-12)-12x-4
45x-60-12x-4
45x-12x-60-4
33x-64
Solve the following polynomial equation by grouping and factoring. 16y3−25y=0
Answer:
[tex]\begin{gathered} \text{ Solutions for the polynomial:} \\ y=-\frac{5}{4},\text{ 0, }\frac{5}{4} \end{gathered}[/tex]Step-by-step explanation:
Use common factor to factor ''y'':
[tex]y(16y^2-25)=0[/tex]Now, factor by grouping the perfect binomial:
[tex]\begin{gathered} y(4y+5)(4y-5)=0 \\ \text{ Solve each factor independently:} \\ y=0 \\ \\ 4y+5=0 \\ y=-\frac{5}{4} \\ \\ 4y-5=0 \\ y=\frac{5}{4} \end{gathered}[/tex]