Answer:
D. (4x - 1)(4x + 1)
Step-by-step explanation:
16 is a perfect square, with its two identical factors being 4. 1 is also a perfect square, with its two factors being 1, but in this case, it's a -1, so we need a positive 1 and a negative 1:
(4x + 1) (4x - 1)
Can anyone help me with this?
Answer:
35 yards
Step-by-step explanation:
20yd+15yd
you add 20yd and the 15yd and that is your area.
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.
Answer:
A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Let's look at the answer choices:
A: "A Is congruent to B and B Is congruent to C"
Well, clearly, if A ≅ B and B ≅ C, then by the transitive property, we can say that A ≅ C. So, A is very likely correct.
B: "A Is congruent to A, B Is congruent to B, C Is congruent to C"
Just because A is congruent to itself (and same with B and C) doesn't necessarily mean that they're congruent to each other. So, B is wrong.
C: "Each triangle is a right triangle."
Again, there are so many right triangles out there with different dimensions. For example, there are some with sides 3, 4, and 5, and others with sides 5, 12, and 13. They are not congruent, however. So, rule out C.
D: "Each triangle is an isosceles triangle."
This is just like choice C since there are so many variations of isosceles triangles. So D is wrong.
The answer is thus A.
Answer:
First one:
A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Since B is obtained by translating A, it has the same measure angles and sides as A, hence B is congruent to A
C is obtained by reflecting B, which doesn't alter the measure of sides and angles, so C is congruent to B
Therefore by transition, C is congruent to A
Which sequence of transformations produces an image that is not congruent to the original figure?
A. A reflection across the x axis followed by a rotation of 180 counterclockwise
B. A translation of 6 units to the left followed by a reflection across the x-axis
C. A rotation of 90° clockwise followed by a translation of 4 units to the left
D. A translation of 4 units to the left followed by a dilation of a factor of 3
Answer:
D. A translation of 4 units to the left followed by a dilation of a factor of 3
Step-by-step explanation:
Of the transformations, rotation, reflection, translation, dilation, the first three (rotation, reflection, translation) are known as "rigid" transformations. They do not change the shape or size of the object. Any result of a rigid transformation is congruent to the original.
Dilation, by its nature, changes the size of the object, so the result is NOT congruent to the original.
Choice D includes dilation, so the image is not congruent to the original.
A television show tests the abilities of alleged psychics by presenting contestants with a set of
4
44 cards placed upside down,
1
11 of which has a star printed on it. Each contestant attempts to identify which card has the star on it for a series of
50
5050 trials.
Assuming that the contestants are purely guessing, what are the mean and standard deviation of the number of trials where the contestant guesses correctly?
Answer:
The mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.
Step-by-step explanation:
Total number of cards presented to the contestants, N = 4.
Number of cards that has a star printed on it is, x = 1.
The probability of selecting the correct card is:
[tex]P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]
It is provided that each contestant attempts to identify which card has the star on it for a series of n = 50 trials.
Each trial's outcome is independent of other outcomes.
The success of each trial is denoted by the correct selection of the card with a star.
The random variable X can be explained by the Binomial distribution.
So, X follows a Binomial distribution with parameters n = 50 and p = 0.25.
The mean and standard deviation of a Binomial distribution are:
[tex]\text{Mean}=np\\\\\text{SD}=\sqrt{np(1-p)}[/tex]
Compute the mean and standard deviation of the number of trials where the contestant guesses correctly as follows:
[tex]\text{Mean}=np=50\times 0.25=12.50\\\\\text{SD}=\sqrt{np(1-p)}=\sqrt{50\times 0.25\times (1-0.25)}=3.062[/tex]
Thus, the mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.
[tex]N = 4[/tex] is the overall number of points distributed to the contestant, [tex]x = 1[/tex] reflects the number of decks with a star on them. The probability of selecting the correct card is as follows:
[tex]\to P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]
For a total of n = 50 trials, each competitor must determine whichever card has the star on it.The result of each trial is different from the results of the others.A proper selection of a card with such a star shows the success of each trial.The Binomial distributions can account for such a random value of x, As a result, X has a binomial distribution having values [tex]n = 50[/tex] and [tex]p = 0.25[/tex].The Binomial distribution does have the following mean and standard deviation:[tex]\to \text{Mean =np}\\\\\to \text{SD}=\sqrt{np(1-p)}\\\\[/tex]
Determine the mean difference of the number of tests where the contender correctly guesses:[tex]\to \text{Mean =np}= 50 \times 0.25= 12.5\\\\[/tex]
[tex]\to SD=\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{50 \times 0.25 \times (1-0.25)}\\\\=\sqrt{50 \times 0.25 \times (0.75)}\\\\= \sqrt{12.5 \times 0.75}\\\\=\sqrt{9.375}\\\\=3.061[/tex]
As just a result, the standard deviation of the number most right guesses by the competitor are [tex]12.50 \ \ and\ \ 3.061[/tex], correspondingly.
Learn more about the contestant guesses:
brainly.com/question/1302166
What is the area of the triangle
Answer:
A. 6 inchesssssssss
Answer:
6
Step-by-step explanation:
NEED HELP NOW!! PLEASE
A baseball diamond is a square with sides of 90 feet. What is the distance, to the nearest tenth of a foot, between home and second base?
Consider the estimated equation from Example 4.3, which can be used to study the effects of skipping class on college GPA: 2 colGPA 1.39 .412 hsGPA .015 ACT .083 skipped (.33) (.094) (.011) (.026) n 141, R2 .234. (i) Using the standard normal approximation, find the 95% confidence interval for hsGPA. (ii) Can you reject the hypothesis H0: hsGPA .4 against the two-sided alternative at the 5% level
Answer:
Step-by-step explanation:
1) The confidence interval is calculated as the following
[tex]CI = ( \bar x-1.96 \sigma ,\bar x=1.96 \sigmam)[/tex]
[tex]= (0.412-1.96 \times 0.094, 0.412 = 1.96 \times 0.094)\\\\= (0.22776, 0.59624)[/tex]
Hence, the confidence interval is [tex]0.22776 \leq \beta_G_P_A \leq 0.59624)[/tex]
11) Under two sid t-tailed test, the null hypothesis
[tex]H_0; \beta_{GPA}=0.4[/tex]
Against the alternative hypothesis
[tex]H_1 ; \beta _{GPA} \neq 0.4[/tex]
Under null hypothesis
[tex]t = \frac{\hat \beta _1 - \beta _1}{Se( \beta _1)} \\\\ =\frac{0.412-0.4}{0.094} \\\\=0.12766[/tex]
The degree of freedom is n - 1 = 140
From the t - table at 5% level of significance under two - tail is 1.96
Since , calculated value is lowe than the tabulated value, we do not reject the null hypothesis.
Theater tickets cost $16 for general admission or $9 with a student ID.
Total ticket sales for a certain showing was $4983. Write an equation
in standard form that shows the possible number of general
admission tickets, x, and student tickets, y, that were sold. Then, find
the total number of student tickets sold if 240 were general
admission tickets.
Answer:
127 student tickets
Step-by-step explanation:
16x + 9y = 4983
x = 240, so substitute that in.
16(240) + 9y = 4983
3840 + 9y = 4983, substract 3840 from both sides
9y = 1143, then divide both sides by 9
y = 127 student tickets
Answer: 16x + 9y = 4983
240 general admission tickets and 127 student tickets
Step-by-step explanation: If you already know that there are 240 general admission tickets and general admission tickets cost 16 dollars the multiply 16 times 240 to get 3840
then subtract 4983 - 3840 to get 1143 which is the money earned on students so now divide 1143 by 9 to get 127
hope this helps mark me brainliest if it did
A researcher is interested in whether or not there is any association between normal method of transportation taken to work and reported mood at the beginning of a typical Monday morning. He classifies participants into three transportation groups (those who: bike/walk, take public transit or drive) and asks them how they typically feel on a normal Monday morning: happy/excited, angry/irritated, or sleepy. Data from his survey on 200 participants are presented below.
Happy Angry sleepy Total
Bike/Walk 20 7 13 40
Public transit 13 5 42 7
Drive 17 18 65 100
Total 50 30 120 200
You would like to test his question of whether or not there is any association between normal method of transportation taken to work and reported mood at the beginning of a typical Monday morning. Calculate a two variable chi-square test using an alpha (α) level of 0.01.
You will use the information above to complete the question parts below for a two variable chi-square test.
Part A: Which of the following represents the appropriate null hypothesis(H0), given your research question of interest?
Part B: Which of the following represents the appropriate alternative hypothesis (H1), given your research question of interest?
Part C: What is your degrees of freedom (df)?
Part D: What is the critical chi-square value (from the Chi-square table) appropriate for your test, testing at an alpha level (α) of 0.01?
Part E: What is your calculated chi-square statistic?
Part F: What is your decision about the null hypothesis based on your test results?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Find the missing height.
units Plss help
Answer:
6
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = 5*h
30 = 5h
Divide each side by 5
30/5 =5h/5
6 =h
The formula for the area of a parallelogram is A = bh.
Since we know the parallelogram has an area of 30 units and a height of 5 units, we can plug this information into the formula to get 30 = 5h.
Now, dividing both sides of the equation by 5, we find that 6 = h.
So the height of this parallelogram is 6 units.
A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?
Answer: 657,720
Step-by-step explanation:
If each person can have only one role, we have that:
For the Editor selection we have 30 possible options
for the pothograper we have 29 options, because we already selected one
for the designer we have 28 options
for the advisor we have 27 options
the total number of combinations is the product of the options for each selection;
C = 30*29*28*27 = 657,720
A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices.
If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once.
Answer:
:P
Step-by-step explanation:
How large is the largest button in the jar ? , is this an statistical question ?
Let P(-6,4) be a point on a rectangle PQRS. What are the coordinates of P if the rectangle is dilated by a scale factor of 3/8?
Answer:
(-2.25, 1.5)
Step-by-step explanation:
If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:
P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)
P' = (-2.25, 1.5)
Dove for x in the diagram below.
se x vale 3 quanto vale 2x
Answer:
6
Step-by-step explanation:
x=3
2x = 2(3) = 6
Ivan needs gas for his truck. He knows his truck holds 20 gallons of gas. His gas can does not measure gallons, though. It measures pints. How many times will he have to fill up his gas can to get his truck full of gas?
Answer: 160 times
Step-by-step explanation:
At 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?
Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour
The daily exchange rates for the five-year period 2003 to 2008 between currency A and currency B are well modeled by a normal distribution with mean 1.832 in currency A (to currency B) and standard deviation 0.044 in currency A. Given this model, and using the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely, complete parts (a) through (d). a) What would the cutoff rate be that would separate the highest 2.5% of currency A/currency B rates?
Answer:
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1.832
Standard deviation = 0.044
Top 2.5%
95% of the measures are within 2 standard deviation of the mean.
Since the normal distribution is symmetric, this 95% goes from the 50 - 95/2 = 2.5th percentile to the 50 + 95/2 = 97.5th percentile.
The 97.5th percentile is the cutoff for the highest 2.5% of currency A/currency B rates, and it is 2 standard deviations above the mean.
1.832 + 2*0.044 = 1.92
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the volume of a can of beans with a height of 20 cm. and a radius of 12 cm? Use 3.14 to approximate π. Express your answer in hundredths.
Based on the above math problem fill in the numbers for the known values. Notice the units are provided, so ONLY enter the number.
Answer:
9043.20
Step-by-step ex planation:
V=π[tex]r^2[/tex]h
V= π [tex](12)^2[/tex] (20)
V=2880(π=3.14)
V=9043.2 and in hundreths that would be 9043.20
sam has 356 stuffed animals all of wich are either cats or eliphants the number of elephants he owns is 17 more than twice the number of cats.
how many of each type of stuffed animal does he own.
Answer:
113 cats243 elephantsStep-by-step explanation:
If Sam subtracts 17 elephants from his collection, he has 339 stuffed animals that are 2/3 elephants and 1/3 cats.
The number of cats is 339/3 = 113.
The number of elephants is 356 -113 = 243 = 2·113 +17.
Sam has 113 cats and 243 elephants.
What is Napoleon Bonapart?
Answer:
Napoleon Bonapart was a French statesman and military leader who rose to prominence during the French Revolution and also led several successful campaigns during the French Revolutionary Wars. He was Emperor of the French as Napoleon I from 1804 until 1814 and again briefly in 1815 during the Hundred Days. Napoleon dominated European and global affairs for more than a decade while leading France against a series of coalitions in the Napoleonic Wars. He won most of these wars and the vast majority of his battles, building a large empire that ruled over much of continental Europe before its final collapse in 1815. He is considered one of the greatest commanders in history, and his wars and campaigns are studied at military schools worldwide. Napoleon's political and cultural legacy has endured as one of the most celebrated and controversial leaders in human history.
Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m
Answer:
z + n m
Step-by-step explanation:
These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.
If this answer is correct, please make me Brainliest!
Answer:
It's "c"
Step-by-step explanation:
i just did this on edge
Determine whether the equation is always sometimes or never true 2/3x+4=2x
Answer:
true
Step-by-step explanation:
x=3
The value of the variable x is 3. Then the equation is always true.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
(2/3)x + 4 = 2x
Simplify the equation, then the value of x will be
2x + 12 = 6x
4x = 12
x = 3
The value of the variable x is 3. Then the equation is always true.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Which of the following explains the cause of the seasons changing on Earth?
The rotation of the Earth and sun.
The tilt of the axis of Earth and orbit of Earth around the sun.
The orbit of the Earth around the sun and rotation of the Earth.
The orbit of the Earth around the sun and rotation of the sun.
Answer:
The tilt of the axis of Earth and orbit of Earth around the sun.
Step-by-step explanation:
Answer options
The rotation of the Earth and sun.
IncorrectThe tilt of the axis of Earth and orbit of Earth around the sun.
Correct, seasons change because Earth tilts on its axis, and the angle of tilt causes the Northern and Southern Hemispheres to trade places throughout the year in receiving the sun's light and warmth most directlyThe orbit of the Earth around the sun and rotation of the Earth.
IncorrectThe orbit of the Earth around the sun and rotation of the sun.
IncorrectAnswer:
C - The orbit of the Earth around the sun and rotation of the Earth.
Step-by-step explanation:
Line parallel to the y-axis that passes through the point (77,88)
Answer:
A line which is parallel to the y-axis has form of x = a
This line passes (77, 88), then a = 77
=> The equation of this line: x = 77
Hope this helps!
:)
Im a parent for a 5th grader and don't remember this, plz help?
Again,
Josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use? How can I help him understand this problem.
Answer:
90 cm.
Step-by-step explanation:
One airplane propeller needs 18 centimetres of wood.
Josh wants to make 5 of them.
So, we would have to take the '18' centimetres of wood and multiply by 5 to get the total for all 5 pieces.
[tex]\text{Number of Propellers} * 18 \text{ Centimetres}[/tex]
[tex]5 * 18 = 90[/tex]
Josh should need 90 centimetres of wood total to make 5 airplane propellers.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
-2 & 1/3
Step-by-step explanation:
When you set the two equations equal to each other, they form to parallel, vertical lines. They cross the x-axis at -2 and 1/3. Hope this helps.
what is the perimeter of a parallelogram with length 26cm , 24cm and base 25cm?
Answer:
Step-by-step explanation:
P=2(a+b)
2(26+25)
=102 ans
Answer:
102 cm
Step-by-step explanation:
P=2(a+b)
P = 2(26+25)
= 2 * 51
= 102
Rewrite as a simplified fraction.
0.1 with the 1 repeating
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{1}{9} =0.111111111111111111[/tex]
