In mathematics, there are two main types of numbers namely real numbers and complex numbers. Real numbers are grouped into two main groups known as rational numbers and irrational numbers.
-⅝ is a rational number and a real number; Options B & D are correct.
A) -⅝ is not a whole number because it is a fraction as it has both denominator and numerator. B) -⅝ is a rational number because it is expressed as a fraction of two integers. C) Natural numbers are simply non-zero positive integers. That is non-zero positive while numbers. Thus, -⅝ is not a natural number. D) Real numbers are non-complex numbers. Which means rational and Irrational numbers. Thus, - ⅝ is a real number. E) integers are any positive or negative numbers that are not fractions or decimals. - ⅝ is a fraction and so it is not an integer. F) An Irrational number cannot be written in form of common fractions or simply put cannot be written as a fraction of 2 integers.-⅝ is expressed in form of 2 integers. Thus, it is not Irrational.
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A recent survey indicated that the mean time spent on a music streaming service is 210 minutes per week for the population of a certain country. A simulation was conducted to create a sampling distribution of the sample mean for a population with a mean of 210. The following histogram shows the results of the simulation.Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?
The population size varies in several ways. The sample size was insufficient, which is the best explanation for why the simulation of the sampling distribution is not roughly normal.
A person's or a researcher's choice of sample size will limit the study's statistical power if it is too small or inadequate for the alpha level and the analyses they have decided to do.
Because of the aforementioned, it is much harder to determine from one's sample whether a statistical effect is existent in the population.
A sample size that is either too small or too large can affect the ability to extrapolate the results, with the latter increasing the detection of differences and accentuating statistical differences that are not clinically significant.
The complete question is:-
A recent survey indicated that the mean time spent on a music streaming service is 210 minutes per week for the population of a certain country. A simulation was conducted to create a sampling distribution of the sample mean for a population with a mean of 210. The following histogram shows the results of the simulation.Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?
A. The samples were not selected at random.
B . The sample size was not sufficiently large.
C. The population distribution was approximately normal.
D. The samples were selected without replacement.
E. The sample means were less than the population mean.
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14. Carrie has 11 board games. Carrie has 8 more board games than Marisol has. How many board games does Marisol have?
Answer:
3
Step-by-step explanation:
11-8=3 because 8 more than 3 is 11
PLEASE HELP ASAP
The diagrams show a polygon and the image of the polygon after a transformation.
Use the diagrams to determine which statements are true. Select all statements that are true.
The correct statements regarding the transformations are given as follows:
Parallel lines will always be parallel after a reflection.Lines that are not parallel will never be parallel after a translation.What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.
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if it takes 9 yards of material to ake 6 pairs of window drapes how many yards are required to make 8 pairs of drapes
Answer:
12 yards
Step-by-step explanation:
Which ones do I select
Answer:
8(x) = 56 (x = 7) (x) + 5 3/4 = 8 3/4 (x = 3) x/2 = 3.5 (x = 7) Neither x - 2.56 = 0.44 (x = 3)
Step-by-step explanation:
Identify the reason that justifies each statement.
Answer:
Vertical angles
Step-by-step explanation:
The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.
Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.
Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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what kind of relationship is (7, 10), (8, 4), (1, 0)
what 2 plus 2 u gotta answer this right if not that is sad ok so what is 2 plus 2 use your finger thats why u got them
2 + 2 = 4
* * + * *
* * * *
Answer:
4
Step-by-step explanation:
2 + 2 is 4 cause if you add 2 two two’s it would be 4
slove for z if : ( 2 - i )z + 8z^2
Step-by-step explanation:
\((2-i)z=8z^2\)
\(8z^2+(i-2)z=0\)
\((8z+i-2)z=0\)
Therefore, either
\(z=0\)
or
\(8z+i-2=0\)
\(z=\frac14-\frac18i\)
hw to solve 6x-12/3+4=18/x
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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what if 5476 divided by 74? i need the working out too please!
I hope that the attachment helps you..
500 miles on 10 gallon how many miles traved on 1 gallon
Answer:
50 miles
Step-by-step explanation:
A card is drawn at random from a standard deck of playing cards (no jokers). If it is red, the player wins 1 dollar; if it is black, the player loses 2 dollars. Find the expected value of the game. Express your answer in fraction form.
The expected value of the game is -1/2.
This means that, on average, the player can expect to lose 1/2 dollar per game in the long run.
To find the expected value of the game, we need to calculate the probability of each outcome and multiply it by its associated value, then sum up the results.
In a standard deck of playing cards, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 clubs and 13 spades).
Since drawing a card is a random event, the probability of drawing a red card is the number of favorable outcomes (red cards) divided by the total number of possible outcomes (52 cards).
Probability of drawing a red card:
P(Red) = Number of red cards / Total number of cards = 26/52 = 1/2
Now, let's calculate the expected value:
Expected Value = (Probability of winning) × (Value of winning) + (Probability of losing) × (Value of losing)
In this game, if the player wins, they gain 1 dollar, and if they lose, they lose 2 dollars.
Expected Value = (1/2) × (+1) + (1/2) × (-2) = 1/2 - 2/2 = -1/2
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Find missing number from letter n ! Please
Answer:
1. n= 20 /13
2. n=10
3. n=35
4. n=9
That's all I could do, I got tired of typing lol
Step-by-step explanation:
1. 4/n=13/5 we cross multiply, (4)*(5)=13*n, 20=13n Flip the equation. 13n=20, divide 13 on both sides, 13n/13=20/13, n= 20 /13
2. 9/6= 15/n, we cross multiply 9*n=(15)*(6), 9n=90, Divide both sides by 9. 9n/9=90/9 n=10
3. 28/4=n/5 Cross-multiply, (28)*(5)=n*(4), 140=4n Flip the equation.4n=140 Divide both sides by 4. 4n/4=140/4 n=35
4. n/6=6/4 we cross multiply,n*(4)=(6)*(6), 4n=36, Divide both sides by 4 4n/4=36/4. n=9
There were 40 marbles in a bag. Some of the marbles were yellow, and the rest were black. For a game, 3/5 of the 40 marbles were chosen and 16 of these were black.
Use this information to answer the questions below.
If not, enough information is given to answer a question, click on "Not enough information."
(a) How many of the bag's yellow marbles were chosen?
(b) How many of the bag's marbles were chosen?
(c) How many black marbles were in the bag before the game?
The answer of the following are; A. 16 yellow marbles were chosen
B. 24 marbles were chosen
C. Not enough information.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are obtained data from the question. This include the following:
marble = 40
Black marble =..?
A. From the question given, 3/5 of the 40 marbles were chosen. It therefore means that 2/5 were not chosen and 16 of these were black.
yellow marble chosen = 2/5 x 40 = 16.
Therefore, 16 yellow marbles were chosen.
B. From the question given, 3/5 of the 40 marbles were chosen.
marble chosen = 3/5 x 40 = 24.
Therefore, 24 marbles were chosen.
C. Not enough information because the number of black marbles in the bag was not given, we can not obtain the total number of marbles that were not chosen.
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2
3
0.0042
0.0013
0.8584
0.9189
5
6
7
8
9
10
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is less
than that of Spiral Wonder?
In a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder, the probability is 0.9574.
What exactly is a normal distribution?It's also known as the Gaussian Distribution. It is the most important continuous probability distribution in the world. Because the curve resembles a bell, it is also known as a bell curve.
The average time for riders to board the Twisting Thunder roller coaster is 49 seconds, with a standard deviation of 7.1 seconds.
The likelihood in a random sample of 32 is
z= (x-μ)/σ
z=(32-49)/7.1
z= -2.394
P(x32) =0.0083246 from the Z-Table
The average time to board the Spiral Wonder roller coaster is 44.8 seconds, with a standard deviation of 3.7 seconds.
In a random sample of 36, the probability is
z= (x-μ)/σ
z=(36-44.8)/3.7
z= -2.37838
P(x36) = 0.0086945 from the Z-Table
In a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder, the probability is P(x32)/P(x36)=0.0083246/0.0086945 =0.9574.
A random sample has a probability of 0.9574.
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3. You are looking to test whether the mean resting heart rate for people who exercise regularly is
less than the mean resting heart rate for people who do not. You randomly sample 17 people
that exercise regularly and compute a sample mean of 69.4 bpm and a sample standard
deviation of 4.57 bpm. You randomly sample 16 people that do not exercise regularly and
compute a sample mean of 73.25 bpm and a sample standard deviation of 3.30 bpm. We are
interested in finding out if the new approach is better at a 2% significance level.
a. State the hypotheses to be tested.
b. The test resulted in a t-value of -2.779 with 29 degrees of freedom. Compute the P-value.
Detail how you got your number.
c. Based on your P-value, what decision do you make at a 2% significance level: Reject H0 or
do not reject H0?
d. Based on your decision what conclusion can you make about comparing the two sets of
people?
a. The hypothesis to be tested are given as follows:
Null: \(H_0: \mu_d \leq 0\)Alternative: \(H_1: \mu_d > 0\)b. The p-value is of: 0.0047.
c. The decision is of: Reject the null hypothesis.
d. The conclusion is of: There is enough evidence to conclude that the mean rate is less for people who exercise regularly.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence to conclude that the heart rate is less, than is, if the difference is not negative, hence:
\(H_0: \mu_d \leq 0\)
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the heart rate is less, that is, if the difference is negative, hence:
\(H_1: \mu_d > 0\)
What are the p-value, decision and conclusion?The parameters to the p-value are given as follows:
t = -2.779.29 degrees of freedom.We have a left-tailed test, as we are testing if the mean is less than a value, hence, using a t-distribution calculator, the p-value is of:
0.0047.
Since the p-value is less than the critical value, the decision and the conclusion are given as follows:
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HELP 10 MIN LEFT!!!!
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
A Venn diagram consists of two circles, A and B. The two circles overlap to form three regions. What does the overlapping region contain?
A.
items in A or B
B.
items in A and B
C.
items not in either A or B
D.
items not in both A and B
B. items in A and B
Step-by-step explanation:
the overlapping part is what they both have in common
that contains C.
C(2,4); y = - 3x + 4
The equation of the parallel line is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)
Find solutions to the linear equation y=12x+24
Te solutions to the linear equation given as y = 12x + 24 are (0, 24), (1, 36) and (2, 48)
How to determine the solutions to the linear equation?From the question, the linear equation is given as
y = 12x + 24
To determine the solutions, we assume values for the variable x and then calculate the y values
Having said that, we have
y = 12x + 24
Set x = 0
So, we have
y = 12 x 0 + 24 = 24
Set x = 1
So, we have
y = 12 x 1 + 24 = 36
Set x = 2
So, we have
y = 12 x 2 + 24 = 48
So, the ordered pairs of the solutions are (0, 24), (1, 36) and (2, 48)
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Find the circumference of the circle (use 3.14 for pi). Show your work. Round to the nearest tenth
(Note: enter your answer and show all your steps that you use to solve this problem in the space provided)
Answer:
144.44 yd
Step-by-step explanation:
\(C=2\pi r \approx (2)(3.14)(23)=144.44\) yd
Help please
Use the following figure to find the answer
what led to the development of the aviation industry
a. the development of texas’ wwII aircraft training facilities
b. the placement of the johnson space center
c. the petrochemicals industry
d. texas’ location and climate
Texas' location and climate led to the development of the aviation industry.
What is the significance of Texas in the development of the aviation industry?
The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.
Reason what led to the development of the aviation industry :
Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.
Therefore, option (d) is correct.
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What is the sum of the product of 3 and 4 and the product of 4 and 5?
Answer:
32
Step-by-step explanation:
(3×4)+(4×5)
=12+20
=32
Solve the triangle MNO (find m<O and the lengths of sides m and n).
The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan,(tetha) = opp/adj
angle O = 180-(90+34)
= 180- 124
= 56°
To find m,
Tan 34 = m/12
m = Tan34 × 12
m = 8.1 in
using Pythagoras theorem to find n,
n= √8.1²+12²
n = √65.61+144
n = √209.61
= 14.5 in
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This is old and I’m catching up on assignments
Answer:
m<2 = 100
Step-by-step explanation:
136 <abc Given
136-197= 39 = <1
so 136 - 39 = 197=<2
which expression is equivalent to ln(e2x/x^3)
2x/3lnx
2x-2
(In(e^2x-x³)
2x-3lnx
Answer:
2x-2
Step-by-step explanation:
ln(e2x/x³)
as ln ex = x
thus, ln(e2x/x³) = 2x / x³
= 2x1-3 = 2x-2
PLEASE HELP prove triangle ADB is congruent to triangle CDB (attached)
Answer:
as all the sides are parallel to each other.
Step-by-step explanation:
the small lines on each side of the kite shows that all sides are equal / parallel to each other.
For the given figure, triangle ADB is congruent to triangle CBD, by SSS postulate.
What is congruent geometry?In congruent geometry, the shapes are so identical that can be superimposed on themselves.
Consider triangle ADB and CDB,
AB = CB [given]
AD = CD {given}
BD = BD [common side]
So, triangle ADB ≅ triangle CDB, by SSS postulate.
Thus, triangle ADB ≅ triangle CDB
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