The probability of men whose height falls between 70 and 73 inches is 0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.
The standard deviation is a quantity that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
We are informed that the heights of men in the U.S are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. We need to determine the percent of men whose height falls between 70 and 73 inches. We would first evaluate the probability that the height of a randomly selected individual would fall between 70 and 73 inches;
This can be done in stat-crunch;
Click Stat, highlight on Calculators then click Normal
In the pop-up window that appears click Between
Enter the given values of mean and standard deviation; 70 and 3 respectively
Enter the values 70 and 73 in the next set of boxes in that order
Finally, click on compute;
Stat-Crunch returns a probability of 0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.
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due today pls help me
Answer: B
Step-by-step explanation:
A - Nope.
B - Possibility.
C. Nope. (2.23606797)
D. Nope.
When facing questions like this, it can be easier to use the process of elimination.
Somebody please help I’m studying for finals and I’m losing my mind
The perimeter of the image is 70 meters and its area is 210 square meters.
What is meant by perimeter?The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter. The sum of the lengths of all the sides in a rectangle is its perimeter, or P. A rectangle's opposite sides are equal, hence it has two equal lengths and two equal widths. The following formula is used to determine a rectangle's perimeter: Diameter is equal to the sum of the following dimensions: length, width, height, and width.
There are numerous practical uses for calculating the perimeter. The size of the fence needed to enclose a yard or garden is known as the calculated perimeter.
Area=(1/2)×base× height
=(1/2)×21×20
=210 square meters
Perimeter=a+ b+ c
=21+20+29
=70meters
Therefore, The perimeter of the image is 70 meters and its area is 210 square meters.
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Steven is a waiter. He earns $3.45 an hour plus 20% tips. One day he worked 7 hours and served meals costing $497 what were his earring? Round you answer to the nearest cent.
7. Olivia purchases gifts for her mom and
grandma
for Mother's Day. The first is a pair of
sunglasses for $16.35 and the second is a
bracelet. Her total is $39.75. How much did she
spend on the bracelet?
Answer: $23.40
Step-by-step explanation:
To find out how much Olivia spent on the bracelet, we need to subtract the cost of the sunglasses from the total amount spent. In this case, that would be $39.75 - $16.35 = $<<39.75-16.35=23.40>>23.40. Therefore, Olivia spent $23.40 on the bracelet.
Help me answer this question for a 10 on my homework
Answer:
1. 4
2. rise = 2; run = 1; slope = 2
3. y = 2x + 4
Step-by-step explanation:
1. Look at the graph. On the y-axis, the line passes through 4. The line crosses the y-axis at 4, so 4 is the y-intercept, and b = 4 in the equation y = mx + b.
2. Choose any two points on the line. I choose the y-intercept, (0, 4) and point (-1, 2).
slope = rise/run
We need to go from point (-1, 2) to point (0, 4) by only moving vertically and horizontally. Start at (-1, 2). Go up 2 units. That is a ris of 2. Now go right 1 unit to arrive at point (0, 4). that is a run of 1.
slope = rise/run = 2
3. We have b = 4, and m = 2.
y = mx + b
y = 2x + 4
How would i solve for E
Answer:
5/13
Step-by-step explanation:
[tex]CE=\sqrt{10^2 + 24^2}=26 \\ \\ \cos E=\frac{10}{26}=\frac{5}{13}[/tex]
Number of nickels in $4.20
Answer:4
Step-by-step explanation:
Given the function f(x)=7(3-x)+5 what is the answer
The answer of the function f(x)=7(3-x)+5 is -7x + 26.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given the function;
f(x)=7(3-x)+5
To simplify the function:
First, solve parenthesis,
f(x)=21 - 7x +5
Taking, constant with constant term,
f(x) = -7x + 26
Therefore, the answer is -7x + 26.
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Need help
What criteria are necessary to prove that two triangles are congruent to one another?
Answer:
SSS, SAS, ASA, AAS
Step-by-step explanation:
s = sides
a = angle
Laura is going to tile her dining room floor. The room is in the shape of a rectangle, and the dimensions are 18 feet by 12 feet. The tile she wants to use costs $9 per square foot. How much will the tile cost for the dining room floor?
Answer:
$1944
Step-by-step explanation:
18x12=216
216x$9=$1944
Answer:
£1944
Step-by-step explanation:
The area of the floor is 216 feet²
18 x 12 = 216
216 x 9 = 1944
what is the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order?
The final answer is that the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order is 1.54.
This is calculated by probability of independent events.
We know that any die can get any of the six sides and all the throws are independent, so their intersection is given by the product.
So, P(A and B occurring together )= P(A)P(B) if A and B are independent.
And the probability of the throws i.e. the no. of ways every throw gets a unique number is (6/6) x (5/6) x (4/6) x (3/6) x (2/6) x (1/6)
This is because, being the probability of independent events , they are multiplied.
so, the total probability is 6.5.4.3.2.1/6^6 = 1.54
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The cost (c) to paint a building varies directly with the area of the surface being painted (a) in square feet. It costs $3,000 to paint a room with a surface area of 1,500 square feet. Determine an equation that gives the relationship between c and a.
The equation that gives the relationship between cost (c) and area (a) is c = 2a
How to determine an equation that gives the relationship between cost and area?A variation is a relation between a set of values of one variable and a set of values of other variables
Given that: the cost (c) to paint a building varies directly with the area of the surface being painted (a) in square feet
We can write:
c α a
c = ka
where k is the constant of proportionality
since c = $3,000 and a = 1500
c = ka
3000 = 1500k
k = 3000/1500
k = 2
Thus, the equation of the relationship is c = 2a
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Simplify the expression 10^log5
Answer:
5
Step-by-step explanation:
The logarithm function, denoted as "log," is the inverse of the exponentiation function. This means that if we have the expression "log(x) = y," then "x" is the base "b" raised to the power "y." In other words, "x" is equal to "b^y."
Using this definition, we can simplify the expression "10^log5" as follows:
10^log5 = 10^y
Where "y" is the exponent to which the base "10" must be raised to produce the result "5."
To find the value of "y," we can use the property of logarithms that states "log(b^y) = y." Applying this property to our expression, we have:
log(10^y) = y
Since "10^y" is equal to "5," we can substitute "5" for "10^y" in the above equation:
log(5) = y
Solving for "y," we find that "y = log(5)."
Therefore, the expression "10^log5" can be simplified to:
10^log(5) = 10^(log(5)) = 5
So the simplified result is 5.
A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 4.75 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter. Please answer this thank you!
Answer:
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
Step-by-step explanation:
The area of a triangle is defined as:
[tex]A_\triangle = \dfrac{1}{2}bh[/tex]
where [tex]b[/tex] is the length of its base and [tex]h[/tex] is its height.
So, we can plug the given values into this formula along with the inch to centimeter conversion to get the answer to this problem.
[tex]A=\dfrac{1}{2}\left(4.75\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)\left(2.5\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)[/tex]
And simplify.
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
what is the conditional probability that a randomly-generated 4-bit string contains two consecutive 1s, given that the first bit of the string is a 1?
The conditional probability that a randomly-generated 4-bit string contains two consecutive 1s is 3 / 8 .
total length of four-bit strings = 16
Let S represent the collection of all four-bit bit strings.
Let A represent the occurrence of a randomly generated string beginning with 1.
Let B represent the scenario where a string created at random contains two consecutive 0s.
S has 8 strings that begin with the letter "1."
P( A ) = 8 / 16 = 1 / 2
Strings in S starting with 1 and having two consecutive zeros are 1000 , 1001 , 1100
P(A ∩ B) = 3 / 16
Conditional probability that at least two consecutive 0s will appear in a randomly generated bit string of length four is ,
3/16 / 1/2
= 3 / 8
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Angie is determining the volume of a box in the shape of a rectangular prism. She finds the length is 2cm more than the width and 3 cm less than the depth. Which equation can Angie use to get the volume of the box, in cubic centimeters?
A. V = w(w+2)(w+3)
B. V = w(w+2)(w+5)
C. V = w(w-2)(w-3)
D. V = (w+2)(w+5)
The volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
What is a rectangular Prism ?
A polyhedron with two congruent and parallel bases is known as a rectangular prism. It's also known as a cuboid.
A rectangular prism has six faces, each of which is in the shape of a rectangle and has twelve edges. It's called a prism because of its cross-section along its length.
It is given that length of the rectangular prism has length of 2 cm more than the width and 3 cm less than the depth
Let the depth be x cm
and width be y cm
Then the length will be y+2 cm and x-3 cm
y+2 = x- 3
x = y+5
A rectangular prism is a cuboid with six faces
Volume of a rectangular prism can be written as
length * width * depth
= (y+2) *x*y
= (y+2)* (y+5)*y
= (y²+2y)(y+5)
= y³ +5y²+2y²+10y
= y³ +7y² +10y cm³
Therefore the volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
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One group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house. At which house will they first meet?
The house that they will first meet if a group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house is the 24th house.
How to calculate the multiple?The smallest positive integer that is divisible by both a and b is known as the least common multiple, lowest common multiple, or smallest common multiple of two integers, or lcm(a, b), in mathematics and number theory. Since the result of dividing an integer by zero is undefinable, this definition only applies if both a and b are not equal to zero.
Before fractions can be added, subtracted, or compared, the "lowest common denominator" can be employed.
From the information, a group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house.
It should be noted that this will be illustrated through tye lowest common multiple.
Multiples of 6 = 6, 12, 18, 24
Multiples of 8 = 8, 16, 24
Therefore, they'll meet at the 24th house.
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Consider the line -8x -6y = -4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of the line is .[tex]\frac{-4}{3}[/tex]
Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]
What is the slope of a line?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. As opposed to the net change in the x coordinate, the net change in the y coordinate is y.
y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
A line's slope is a measurement of how steep it is or the direction it is going in relation to a coordinate system.
where m is the slope and m = y/x
Take notice that tanФ = y/x.
This tanФ is often referred to as the line's slope.
Calculation:The given equation is of the form [tex]ax+by=c[/tex]
On comparing we can say that a is -8 and b is -6
So using the slope formula [tex]\frac{-A}{B}[/tex] we get slope as [tex]\frac{4}{-3}[/tex]
The perpendicular line slope can be found out by equation [tex]m1.m2=-1[/tex]
Therefore substituting slope from the above as m1 we get m2 = [tex]\frac{3}{4}[/tex]
Slope of the line is .[tex]\frac{-4}{3}[/tex]
Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]
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Please help meee !!!!???
Answer: 19 feet
Step-by-step explanation:
The area, 266, divided by the width, 14, equals to 19 feet.
Points B, D, and F are midpoints of the sides of
AACE. EC 32 and DF = 20. Find AC.
The diagram is not to scale.
A
F
B
The value of the side AC is 40 if the points B, D, and F are midpoints of
the sides of ΔACE.
What is the mid-point of a triangle?The midpoint theorem states that in order to determine the midpoints of a triangle's sides, "a line segment linking any two of its midpoints is said to be parallel to the triangle's third side and also half the length of the third side."
Divide the distance between the two endpoints by 2, then do it again. The two terminal x coordinates can alternatively be combined, then the result divided by two. Draw a line from a midway to the opposite corner. The centroid of a triangle is the point at where the three medians intersect.
Given,
The points B, D, F are midpoints of the sides of a triangle ACE.
And also given that,
EC =32 and DF=20, AC=?
So, FD=1/2(AC)
AC=2(FD)
AC=2(20)
AC=40
Therefore, the value of the side AC is 40 if the points B, D, and F are
midpoints of the sides of ΔACE.
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Insert terms to make a identity replace *
(*-0.2n)^2=*-1.2mn+0.04n^2
The unidentified term is 3m.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, an equation (x-0.2n)² = x-1.2mn+0.04n²
We know that, (a-b)² = a²-2ab+b²
Comparing the given equation with the above identity, we get,
a = x, b = 0.2n and 2ab = 1.2mn
Therefore, 2x×0.2n = 1.2mn
x = 3m
Hence, the unidentified term is 3m
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it is known that pre-schoolers, on average, spend three hours a week on tablets. i believe that this is no longer true, and that the average time that pre-schoolers spend on tablets differs in either direction from the previously given average. i calculate a z-test statistic of 1.74. what is my statistical decision?
Retain the null because 1.74 is greater than 1.645.
What is z - test statistic?
Any statistical test for which the test statistic's distribution under the null hypothesis can be roughly represented by a normal distribution is known as a Z-test.
Z-tests examine a distribution's mean.
Let X be the average time that prescholars spend on tablets.
X ~ N(μ, α^2)
To test H0: μ = 3 hours Vs H1: μ ≠ 3 hours.
The z - test statistic is obtained as 1.74.
Taking level of significance α = 0.05
Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex]
Since the observed z - statistic is 1.74 which is less than Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex],
so we retain the null hypothesis.
Hence, retain the null because 1.74 is greater than 1.645.
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Complete question:
Complete question is attached below.
in parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both disjoint and independent). a) you and a randomly selected student from your class both earn a's in this course. mutually exclusive neither independent b) you and your class partner both earn a's in this course. mutually exclusive neither independent c) if two events can occur at the same time, they must be independent. false true
By looking at the definition of mutually exclusive and independent event, the statement for both events are true.
What is meant by mutually exclusive?A statistical term used to describe events that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together. They are therefore opposed to one another.
What is independent event?Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.
(a) True. The given event is both mutually exclusive as well as independent
(b)True. The given event is both mutually exclusive as well as independent
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Answer question #9
The response is incorrect and I need help on getting the correct answer
Answer:
congruence is compatibility or agreement while equal is the same or equivalent to one another.
if w denotes weight, n denotes number of items, m denotes maximum capacity constraint, and x =0 or 1, what would be the valid bounding condition/conditions for the sum of the subset problem?
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
The valid bounding condition for the sum of the subset problem is:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
This means that each item can either be included in the subset (x[i] = 1) or not included in the subset (x[i] = 0).
The sum of the weights of the items in the subset should not exceed the maximum capacity constraint, m. So the bounding condition for the weight of the subset is:
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
This means that the sum of the weights of the items in the subset should be less than or equal to the maximum capacity constraint.
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
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50 POINTS!!! Which graph represents this system? y = 3. x + y = 4. Which graph represents this system? y = 3. x + y = 4. On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7). On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6). On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0). On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
For a system with equations y = f(x) and y = g(x), the graph of the system will be just a coordinate plane with the two functions graphed on it.
What is functions graphed?
What Does Graphing Functions Mean? Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function. As an illustration, the graph below depicts the linear function f(x) = -x+ 2.
From this, we can see that the correct option is the first one:
"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."
Also a graph of the system can be seen at the end of this answer.
Here our system is:
y = 3
x + y = 4
The first one is a horizontal line at y = 3.
The second can be rewritten as:
y = -x + 4
So this is a line with a negative slope, that passes through the points (0, 4) (when you evaluate in x = 0, you get y = 4) and (4, 0) (when you evaluate in x = 4, you get y = 0)
Then the correct option is the first one:
"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."
The graph can be seen below
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The original selling price was $171.59. The sale proteas $148.37. What is the first step in finding the percent markdown? Find the percent markdown
The original price is $171.59 and the price during sales is $148.37 then the percent markdown will be 13.53%.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Original selling price = $171.59
Price during sales = $148.37
Then, the percentage markdown will be,
% markdown = (171.59 - 148.37)/171.59 × 100
= 23.22/171.59 × 100
% markdown = 13.53%
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(Find LCM of) :
ax² - (a² + ab)x+ a²b,
bx² - (b² + bc)x+ b²c and
cx² - (c² + ac)x + c²a
Answer:
Here is answer
Step-by-step explanation:
To find the least common multiple (LCM) of three polynomials, we need to find the smallest polynomial that is divisible by all three of them.
Let's start by factoring each of the given polynomials:
ax² - (a² + ab)x+ a²b = a(x - b)x
bx² - (b² + bc)x+ b²c = b(x - c)x
cx² - (c² + ac)x + c²a = c(x - a)x
The LCM of these three polynomials is the smallest polynomial that is divisible by all three of them. In this case, the smallest such polynomial is (x - a)(x - b)(x - c)x. This is because it is divisible by each of the given polynomials and no smaller polynomial is divisible by all three of them.
Therefore, the LCM of the given polynomials is (x - a)(x - b)(x - c)x.
Find the values of x and z !!
The value of x and z are [tex]4^\circ, 96^\circ[/tex].
Now from the picture I can say that, [tex]\angleAOB[/tex][tex]\angle AOB[/tex] and [tex]\angleCOD[/tex][tex]\angle COD[/tex] are opposite angles.
We know the measure of the triangle are equal in Pair.
So we have got the equation as -
[tex]10x+44=13x+32[/tex]
⇒[tex]13x-10x=44-32[/tex]
⇒3x=12
⇒x=4.
We have got that the measure of [tex]\angle AOB, \angle COD[/tex] are both [tex]84^\circ[/tex].
Now angles around a point add to [tex]360^\circ[/tex].
So, [tex]\angle AOD[/tex] and [tex]\angle BOC[/tex] are equal since they are pairwaite wisw.
Now, [tex]z+z= 360^\circ - (84^\circ+84^\circ)[/tex]
⇒[tex]2z=192^\circ[/tex]
⇒ [tex]z=96^\circ[/tex],
Hence we have got the value of x and z i.e. 4 and 96.
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according to the information that comes with a certain prescription drug, when taking this drug, there is a 20% chance of experiencing nausea (n) and a 45% chance of experiencing decreased sexual drive (d). the information also states that there is a 14% chance of experiencing both side effects. what is the probability of experiencing only nausea?
The probability of experiencing only nausea is 0.06.
Using Venn Probabilities, it is found that there is a 0.45 = 45% probability of experiencing neither of the side effects.
What is a Venn probability?
In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
P(N∪D) = P(N) + P(D) - P(N∩D)
In this problem, the probabilities given are:
P(N)= 0.2 , P(D)= 0.45 , P(N∩D) = 0.14
The "at least one" probability is:
P(N∪D) = 0.20 + 0.45 - 0.14 = 0.51
Hence, the "neither" probability is:
1 - P(N∩D) = 1 - 0.51 = 0.49
The probability of experiencing only nausea = P(nausea) - P(both side effects)
=0.20 - 0.14
=0.06
0.49 = 49% probability of experiencing neither of the side effects.
The probability of experiencing only nausea is 0.06.
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