No, there is nothing wrong in the research that is done by the head of the institution. He said correct that the mean age of the full time students has declined.
Given above that a university's director of institutional research thought that the average age of full-time students was lowering. The average age of a full-time student in 1995 was 27.4 years old.
He registered all 4934 pupils for this and the average age was 27.1 years.
The fact that the inquiry concerns the average age of a full-time student makes this situation ideal. This is a trustworthy approach when the mean is calculated after accounting for all full-time students at the university.
Given that this is a left-tailed test, the hypothesis is also correct.
He rejected the null hypothesis because p = 0.0020.05.
The average age did decrease, in conclusion. The situation is ideal.
Therefore his hypothesis is absolutely correct. There is nothing wrong with it.
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Given: GHIJ is a parallelogram.
HP = JQ PQ bisects GI
Prove: PX = QX
Hint: Use subtraction of the side lengths.
PX ≅ QX, as ΔGXP ≅ ΔIXQ is congruent by the AAS property.
Given, GHIJ is a parallelogram.
Given, HP ≅ JQ
GH ≅ JI, as both are on opposite sides it is a congruency property.
GP ≅ QI, the definition of congruency.
GP + PH ≅ JQ + QI, segment addition property.
∡PXG ≅ ∡ IXQ, vertical angles are congruent.
GH || JI, opposite sides are parallel
∠ PGH ≅ ∠QIX, alternate interior angles
PX ≅ QX, corresponding parts of congruent triangles are congruent.
ΔGXP ≅ ΔIXQ is congruent by the AAS property.
Therefore, PX ≅ QX
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The Patterson's bought a house for $154,500 and made a down payment of 15%. How much was the down payment
Answer:
.15 × $154,500 = $23,175 down payment
Select the correct answer from each dropdown menu.
Getting ready for a big car race, Kenna decided to make five racing flags to put at each turn of the racetrack. Kenna sketched the flag
design in a coordinate plane to help determine how much material she will need for the flag.
y
8-
6-
4
2-
O
-2-
-~
4
Kenna will need
t6
-80
10
X
Assuming each grid mark represents a foot, how much material will Kenna need to make each flag and all five flags?
square feet of material for one flag.
ele all five flags
A green flag indicates that it is time to begin or end. A blue flag indicates that a faster car may pass. Yellow flags indicate extreme caution! The vehicle should slow down. Drivers should return to their pits when they see a black flag.
Signals the end of the race, regardless of where the cars are on the track. A black flag instructs a driver to proceed to the pits on the following lap and consult with race officials. a flag with a black and white square pattern used to indicate that a car has crossed the finish line and completed its race This signal indicates the winner or the first car to cross the finish line. The black flag indicates that a driver must proceed directly to the pits, and that driver's race is over.
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Answer: kenna needs 3 for one flag and 15 for all five
Step-by-step explanation:
plato/edmentum :)
Find the angle B and the value of z if ABC=DEF
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
The question provides that ΔABC and ΔDEF are similar. By the definition of similar triangles, we have that:
[tex]\begin{gathered} \angle A\cong\angle D \\ \angle B\cong\angle E \\ \angle C\cong\angle F \end{gathered}[/tex]Since congruent angles are equal, we have:
[tex]\begin{gathered} m\angle A=m\angle D \\ m\angle B=m\angle E \\ m\angle C=m\angle F \end{gathered}[/tex]From the provided diagram, we have the measures of the following angles:
[tex]\begin{gathered} m\angle A=105\degree \\ m\angle E=(10z-5)\degree \\ m\angle F=30\degree \end{gathered}[/tex]Comparing the congruent angles, we have that:
[tex]m\angle D=105\degree[/tex]The sum of angles in a triangle is 180°. If we add up the angles of ΔDEF, we can get the value of z:
[tex]\begin{gathered} 105+10z-5+30=180 \\ 10z=180+5-105-30 \\ 10z=50 \\ z=5 \end{gathered}[/tex]Given the value of z, we can get the measure of [tex]\begin{gathered} m\angle E=10z-5 \\ m\angle E=10(5)-5=50-5=45\degree \end{gathered}[/tex]By comparing the congruent angles, we have that:
[tex]m\angle B=m\angle E=45\degree[/tex]ANSWER:
Angle B = 45 degrees.
The value of z is 5.
a soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. the probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next. what is the probability that a customer loses on their first two bottles and wins on their third bottle?
The probability that a customer loses on their first two bottles and wins on their third bottle is 0.968
What is probability?The likelihood of an event happening is gauged by probability.
The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.
The chance of every event in a sample space is 1, overall.
∵ the customer can not win on first or second bottle i.e.
0.2×0.2×0.8 = 0.032
∴probability that a customer loses on their first two bottles and wins on their third bottle is given by:
= 1 - 0.032
= 0.968
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Math question super easy
Answer:
x = 45
y = 20
Step-by-step explanation:
Since the two horizontal lines are parallel
angles with measures of 6y and 3y are supplementary angles and add up to 180°
So 6y + 3y = 180
9y = 190
y = 20
Similary 2x and 90 are supplementary angles
2x + 90 = 180
2x = 90°
x = 45
Answer:
x=45 y=20
Step-by-step explanation:
you can tell x is 45 because is is a right angle and those are 90 degrees.
9y+180=360 360 because that is the sum of all the angles added up in a quadrilateral.
9y=180
y=20
There is a proportional relationship between gallons and pints.
A) What is the constant of proportionality to convert gallons to pints? Show your work and/or explain your reasoning.
explain pls
The constant of proportionality to convert gallons to pints given the information in the table is 8.
What is the constant of proportionality?The constant of proportionality is the ratio that equates to variables in a directly proportional relationship. A directly proportional relationship is a relationship where the two variables move in the same direction.
The equation for direct proportionality:
y = bx
where:
y = dependent variable = gallons b = constant of proportionalityx = independent variable = pints16 = 2b
b = 16/2 = 8
40 = 5b
b = 40 / 5 = 8
56 = 7b
b = 56 / 7 = 8
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I have like 19 more to go I've only done one of the questions and I need help
Given data
The length of the square L = 25 in
Use the formula for the perimeter of a square below, to find the perimeter.
[tex]\begin{gathered} \text{Perimeter of a square = 4L} \\ =\text{ 4 x 25} \\ =100in \end{gathered}[/tex]Use the formula for the area of a square below, to find the area.
[tex]\begin{gathered} \text{Area of a square = L}^2 \\ =25^2 \\ =625in^2 \end{gathered}[/tex]The chart shows the distances Steve ran during the week. According to the chart above, how much farther did Steve run on Wednesday than Monday?
Express the polynomial as a product of linear factors.fr) = 3x^3+12x^2 + 3x – 18A. (x+3)(x+6)(x-1)B. (x-3)(x+3)(x-2)C. (X-34x+3)(x-3)D. 3(x-1)(x+3)(x + 2)SUBMIT
you need first see something all the numbers in the polynomial can be divided by 3 then we can rewrite the polynomial as
3(x^3+4x^2+x-6)
the polynomial x^3+4x^2+x-6 is easier to solve and find the roots
the roots are
x = -3
x = -2
x = 1
and finally
we can rewrite the polynomial as
3(x+3)(x+2)(x-1)
so we can say that the right answer is D. 3(x-1)(x+3)(x + 2)
What is the value of the expression 7z+8 when z=9
Answer:
si Noew
Step-by-step explanation:
no puede ser porque es muy esxtrqño
7. Find the value of each variable
(5x- 7)
(8x-55)
Answer:
x = 16 degrees
Step-by-step explanation:
Since this is an isosceles triangle, both sides are the same. We then come up with the equation:
5x - 7 = 8x - 55
Next, we subtract 5x on both sides
5x - 7 = 8x - 55
-5x -5x
____________
-7 = 3x - 55
Afterward, we add 55 on both sides:
-7 = 3x - 55
+55 +55
___________
48 = 3x
Lastly, you divide 48 by 3 to get the answer 16!!
Please give me brainliest if I helped!
3) A basket with 4 apples weighs 2 pounds. A basket with 12 apples weighs 4 pounds. Write an equation in slope-intercept form for the weight, y, in terms of the number of apples x in the basket.
Show your algebraic work for credit.
In the problem #3, what does the slope represet in the context of the problem?
What does the y-intercept represent in the context of the problem?
The relationship between x and y is y = 0.25x + 1.
Define slope intercept form.Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form. One of the formulas used to get a line's equation is the slope-intercept formula. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.
Given,
A basket with 4 apples weighs 2 pounds.
Slope intercept form:
y = mx + b
Equation:
2 = 4m +b ..(1)
A basket with 12 apples weighs 4 pounds
4 = 12m + b ... (2)
Solving,
2 = 4m + b
4 = 12m + b
4 = 8m
Divide the second equation by 8:
2 = 4m + b
m = 0.25
b = 1
The relationship between x and y is y = 0.25x + 1.
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MEDIDAS DE TENDENCIA
CENTRAL
Halla las medidas de tendencia central a cada situación y
completa su tabla de frecuencia.
1. Las edades de 9 estudiantes son:
Dato
Edad
6
7
9
6, 7, 9, 7, 9, 9, 9, 9, 7
Moda Mo=
Cantidad
Frecuencia
Media X =
Mediana Me=
Alguien q me ayude xfa lo necesito para hoy ;( se los agradecería enserio
Answer:
Step-by-step explanation:La media, mediana y moda de las edades de 9 estudiantes son 7,67, 9 y 9 respectivamente
Explicación paso a paso:
Medidas de Tendencia Central:
Moda: es el valor que mas se repite en la distribución
9 es el valor que mas se repite
Media: es el valor promedio de la distribución
μ = ΣXi*fi/n
μ = [3 + 7*3 + 9*5] /9
μ = 7,67
Mediana: es el valor de la posición central en un conjunto de datos ordenados
6 7 7 7 9 9 9 9 9
Mediana = 9
the fraction models below represents two fractions of the same whole. how much of the 5/8 is in the 1/2
There are 4/5 of the fraction 5/8 in the fraction 1/2
How to determine the number of fractions in another?The mathematical statement is given as
"how much of the 5/8 is in the 1/2"
The above means that
Dividend = 1/2
Divisor = 5/8
The number of fractions is then calculated as
Count = Dividend/Divisor
Substitute the known values in the above equation
So, we have the following equation
Count = (1/2)/(5/8)
Evaluate
Count = 4/5
Hence, the number of 5/8 in 1/2 is 4/5
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Tricia buys 18 apples for $27. The total cost, c, of the apples is proportional to the number of apples, a, that she buys. How much does one apple cost? Create an equation using c and a to represent the proportional relationship.
If Tricia buys 18 apples for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a
The cost of 18 apples = $27
Here we have to use unitary method to find the cost of one apple
The cost of one apple = 27/18
= $1.5
Consider the total cost of the apples as c and the number of apples she bought as a
Then the relationship will be
c ∝ a
c = ka
Here the k is the constant that will be the cost of one apple
The cost of one apple = $1.5
Then the relationship will be
c = 1.5a
Hence, if Tricia buys 18 apples for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a
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explain the strategy you used to sove this equation 3(5x-2)=3x+8-2x
Answer:
x = 1
Step-by-step explanation:
3(5x-2)=3x+8-2x
Apply the Distributive Property
15x - 6 3x+8 - 2x
Combine like terms
15x-6= x+8
Rearrange variables to the left side of the equation
15x-x=8+6
Combine like terms
14x 8+6
(I don't know if you want me to answer it)
convert 45°20´ into second
Answer:
45 × 60'× 60'' + 30 × 60'' ( 1⁰ =60')
16200''+ 1800''= 18000''
I hope it wil be helpfull for you.
Answer:
163200 "
Step-by-step explanation:
45 ° 20 ' =
45 ° * 60 minutes/degree * 60 seconds/minute + 20' x 60 seconds/minute
= 45 * 60 * 60 + 20 * 60 = 163200 seconds
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.
The ratio of the lengths of PR and QS is 1:1.
Given that, PQ is parallel to RS . PR and are perpendicular to PQ and RS.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
The slope of parallel lines is equal to each other.
If PQ is parallel to RS.
PR is perpendicular to PQ and RS.
QS is also perpendicular to PQ and RS.
The figure that will be formed using the two parallel lines, and the two perpendicular is a square.
When two lines are parallel to each other and the end points of the parallel lines are used to draw perpendiculars, then the line segments PQ and RS will be congruent.
By the property of Congruence, the ratio of the lengths PR and QS is equal to 1:1.
Therefore, the ratio of the lengths of PR and QS is 1:1.
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"Your question is incomplete, probably the complete question/missing part is:"
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
PQ is parallel to RS . PR and are perpendicular to PQ and RS .
The ratio of the lengths of PR and QS is __:__ .
the average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds find the probability that the mean of the sample will be less than 200 pounds
The mean of the sample will be less than 200 pounds is .571 using standard deviation
What is standard deviation?
The standard deviation is a statistician's way of gauging how much a group of numbers can vary or be dispersed. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.
Given that ,
mean = μ = 196
standard deviation = σ= 22
P(x < 200) = P((x - μ) / σ < (200 - 196) / 22)
= P(z < 0.18)
Using the standard normal.
P(x < 200) = 0.5714
Probability = 0.5714
Hence the Probability will be .571 using standard deviation
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help me i don’t understand
Answer:
23cm
Step-by-step explanation:
in this case, you don't have to actually care both the 4 because it is not a side. whoever did that is trying to trick you. now you are left with 7cm,6cm, and 10cm.
10+6+7=23
why is 2 a factor of all even numbers
Answer: an even number is divisible by 2, so that means it has 2 as a factor
Step-by-step explanation:
Answer:Two is a prime because it is divisible by only two and one.
Step-by-step explanation:
All the other even numbers are not prime because they are all divisible by two.
simplify the expression -1/2 + 1/6
The solution to the fraction -1/2 + 1/6 is -1/3
How to simplify the expression?The expression is given as
-1/2 + 1/6
Rewrite the terms of the expression as equivalent fractions
So, we have the following equation
-1/2 + 1/6 = -3/6 + 1/6
Take the LCM of the equation
So, we have the following equation
-1/2 + 1/6 = (-3 + 1)/6
Evaluate the sum
So, we have the following equation
-1/2 + 1/6 = -2/6
Simplify the quotient
-1/2 + 1/6 = -1/3
Hence, the value of the fraction is -1/3
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Find the area of a circle with diameter of 8cm use the value 3.14 for pie and do not round awnser
The area of a circle with a radius r is given by the following formula:
[tex]A=\pi\cdot r^2[/tex]In this case we know that the diameter is 8cm which means that its radius is 4cm. Using 3.14 for pie we get:
[tex]\begin{gathered} A=3.14\cdot(4cm)^2 \\ A=3.14\cdot16cm^2=50.24cm^2 \end{gathered}[/tex]AnswerThen the answer is 50.24 cm².
Jenna is making a scarf. She needs 23 /4 feet of yarn. Each yarn bundle is 11 1/2feet. How many bundles does Jenna need? How much will be left over?
Given:
The length of yarn needed, l=23 1/4 feet.
The length of a yarn bundle, L=11 1/2 feet.
The number of bundles of yarn needed can be calculated as,
[tex]\begin{gathered} n=\frac{l}{L}=\frac{23\text{ }\frac{1}{4}}{11\frac{1}{2}} \\ n=\frac{\frac{23\times4+1}{4}}{\frac{11\times2+1}{2}} \\ n=\frac{\frac{93}{4}}{\frac{23}{2}} \\ n=\frac{93}{4}\times\frac{2}{23} \\ n=\frac{93}{2}\times\frac{1}{23} \\ n=\frac{93}{46} \\ n=2\frac{1}{46} \end{gathered}[/tex]Therefore, 3 bundles is needed by Jenna to make the scarf.
The part of leftover yarn is,
[tex]\begin{gathered} N^{}=3-2\frac{1}{46} \\ =3-(2+\frac{1}{46}) \\ =1-\frac{1}{46} \\ =\frac{46-1}{46} \\ =\frac{45}{46} \end{gathered}[/tex]Hence, 45/46 part of a bundle of yarn will be left.
Now, the length of leftover yarn is,
[tex]\begin{gathered} l^{\prime}=N\times L \\ =\frac{45}{46}\times11\frac{1}{2} \\ =\frac{45}{46}\times\frac{11\times2+1}{2} \\ =\frac{45}{46}\times\frac{23}{2} \\ =\frac{45}{2}\times\frac{1}{2} \\ =\frac{45}{4} \\ =11\frac{1}{4}\text{feet} \end{gathered}[/tex]Therefore, 111/4 feet of yarn will be left.
What is the third step of the scientific method?
Answer:
The third step would be to construct a hypothesis.
Step-by-step explanation:
4. What is the equation of the line that represents your initial climb? Please. Need ASAP. 20pts
Answer:
y = 2x
Step-by-step explanation:
I am basing this off of your straight line that you drew.
Slope is found by using [tex]\frac{rise}{run}[/tex] . This means that you change in your y-axis divided by change in your x axis.
This can also be modeled by Δy/Δx
I used point (0,0) and the peak of the slope (100,200)
Your line starts at 0 and rises 200 and runs to the right 100.
Thus, you can write:
y = [tex]\frac{200}{100}[/tex] x
This simplifies to y = 2x
Find the greatest common factor of these two expressions.28x^2 y^8 u^4 and 16x^6 u^7
The two expressions are:
[tex]\begin{gathered} 28x^2y^8u^4 \\ \text{and } \\ 16x^6u^7 \end{gathered}[/tex]The greatest common factor of the two expressions is found below:
The greatest common factor of the two expressions is 4x²u⁴
.question 9a data analyst is using statistical measures to get a better understanding of their data. what function can they use to determine how strongly related are two of the variables?
Planning, designing, gathering data, analyzing, creating relevant interpretations, and publishing the research findings are all statistical approaches that go into conducting a study.
The statistical analysis lends meaning to the abstract numbers, giving the data some life. Only when appropriate statistical tests are applied will the results and inferences be accurate. Science's field of statistics deals with gathering, organizing, analyzing, and extrapolating data from samples to the entire population. This necessitates the use of an acceptable statistical test, an adequate study design, and an appropriate study sample selection. However, if we want additional information about these, a consulting company may be able to assist us. we will benefit more from Silver Lake Consulting for our project.
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A gambling game at a local carnival is played as follows: each time someone plays the game, he or she pays $3. A fair die is rolled, and if the die has an even roll (e.g. 2, 4, or 6), he or she wins nothing. If it is an odd roll, he or she wins the amount of money (in dollars on the face of the die—e.g. if he or she rolls a 1, he or she wins $1; a 3, he or she wins $3; a 5, he or she wins $5). The random variable [tex]X[/tex] represents the amount he or she wins per play of the game, not including how much he or she pays.
Part 1: Complete the given table.
Part 2: How much can someone expect to win on average per play of the game? Should he or she pay $3 to play this game? Why or why not?
Using a discrete probability distribution, it is found that:
1. The table is completed at the end of the answer.
2. The expected earnings for a single play of the game are of $1.5. Since $3 is greater than the average earnings, a person should not pay $3 to play this game.
What is the mean of a discrete distribution?The expected value, also called the mean, of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For this problem, we have that:
If it is an even roll, the person wins nothing. Out of 6 possible outcomes, 3 are even numbers, hence P(X = 0) = 3/6 = 1/2.If it is an odd roll, the person wins the amount played, hence P(X = 1) = P(X = 3) = P(X = 5) = 1/6.The table completed with these probabilities is given at the end of the answer.
Hence the expected earnings for the game are given as follows:
E(X) = 1/2 x 0 + 1/6 x (1 + 3 + 5) = $1.5.
If a person paid $3, the expected earnings would be of:
1.5 - 3 = -$1.5.
Negative earnings, hence the person should not pay $3 to play this game.
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