Answer:
P(odd) = 0.5
Step-by-step explanation:
There are 50 odd numbers for whole numbers 1-100, namely
{1,3,5,....97,99}
Therefore the probability that a single chosen number is odd is
P(odd) = 50/100 = 1/2
1/2 is the probability that the number is odd.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.
Total number of possibilities = 100
We want to find Probability of selecting odd:
There are 50 odd numbers for whole numbers 1-100, namely
Favourable possibilities are:
{1,3,5,....97,99} (Total 5 possibilities).
Therefore Probability = 50/100 = 1/2 or 50%
P(odd) = 50/100 = 1/2
Hence, 1/2 is the probability that the number is odd.
Learn more about probability
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A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
Under what conditions are we allowed to add or subtract radicals together?
Answer/Step-by-step explanation:
The conditions where we are allowed to subtract or add radicals together is when the radicands, which is the number inside the radical, of both radicals are the same. And also, when they both have the same indices, that is, for example, they have the same root.
Take for example the following radical expression:
[tex]4\sqrt{2} + 3\sqrt{2}[/tex]
Both radicals, [tex]4\sqrt{2} and 3\sqrt{2}[/tex], have the same radicand, [tex]\sqrt{2}[/tex] , and also the same index of square root.
Therefore, they are regarded as like terms, and can be added or subtracted together.
Thus,
[tex]4\sqrt{2} + 3\sqrt{2} = 7\sqrt{2}[/tex]
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.
Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.
Answer:
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex] and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex] and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
Step-by-step explanation:
Domain is the set of input values or x-values.
Range is the set of output values or y-values.
According to the relation mapping diagram, the relation is
[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]
So,
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]
[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
In the graph 5 points are plotted. So, the relation is
[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]
So,
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]
[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
What is the remainder in the synthetic division problem below?
O A. 5
O B. 9
O O. 3
O D. 7
Answer:
The answer is option D.
I hope it's what you require.
Answer:
D) 7
Step-by-step explanation:
1 / 4 6 -3
4 10
4 10 7
Step 1: Carry down the first number 4 as it is
Step 2: Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10
Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7
And now 7 is the remainder
Need help asap plz ill rate 5 star (only right answer please)
Answer:
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
Step-by-step explanation:
Given
[tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Required
Simplify and categorize the result based on their degree and number of terms
Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]
Open bracket
[tex]6x^2 + 2x - 3x - 1[/tex]
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
Open bracket
[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]
[tex]7x^2 + 3x -7x^2 + 4[/tex]
Collect like terms
[tex]7x^2-7x^2 + 3x + 4[/tex]
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Open brackets
[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]
[tex]20x^2-36x+28-20x^2+36x-26[/tex]
Collect like terms
[tex]20x^2-20x^2-36x+36x+28-26[/tex]
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
Please I need help on 1 and 2. Thank you.
Answer:
1. C
2. 55°
Step-by-step explanation:
So, we know that for an angle with its vertex inscribed on the circle, the arc it opens up to is twice the angle's measure, so we can get m∠ADE = 1/2(measure of arc AE), which is C.
Now we can input the measure of arc AE into the equation. So, m∠ADE = 1/2 * 110, and we can find out that m∠ADE = 55°.
---
I hope this helps, let me know if you have any questions.
The initial count of a certain type of bacteria in a culture is 350. If the bacteria grows at the rate of 20% per hour, which
function models the number of bacteria after t hours?
Answer:
70
Step-by-step explanation:
[tex]\frac{20}{100}*350=70[/tex]
The focus of the problem set is to show your ability to prove similarity between two triangles that are congruent. True False
Answer:
true bc i am smart
Answer:
the answer is TRUEStep-by-step explanation:
Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval
Answer: (0.4016, 0.4984).
Step-by-step explanation:
Let p be the proportion of voters will vote for Candidate A for president.
Formula for confidence interval for proportion:
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
, here [tex]\hat{p}[/tex]= sample proportion
n= sample size.
z* =two-tailed critical z- value.
As per given, we have
n= 700
[tex]\hat{p}[/tex] = 0.45
Critical two-tailed z-value for 99% confidence interval = 2.576
Then, the required 99% confidence interval for p would be:
[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]
Hence, the required confidence interval (0.4016, 0.4984).
How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
Answer:
100
Step-by-step explanation:
If a number is divisible by 5, then the last digit is either 0 or 5.
Since all the digits are even, the last digit must be 0.
There are 4 options for the first digit (2, 4, 6, 8).
There are 5 options for the second digit (0, 2, 4, 6, 8).
There are 5 options for the third digit (0, 2, 4, 6, 8).
So the total number of numbers is:
4×5×5×1 = 100
10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.
1. Y= 2X + 3
2. Y = 34 X-2
Answer:
slope: 1.) 2 ,,, 2.) 3/4
y-int: 1.) (0,3) ,,, 2.) (0,-2)
graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2
Step-by-step explanation:
(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?
Answer:
1 hour 12 minutes or 1.2 hours
Step-by-step explanation:
You add fractions to get this.
1 room/3 hours + 1 room / 2 hours = 1 room / x
0.33333333+0.5 = 1 room / x
0.83333333 = 1 / x Multiply both sides by x
0.83333333x = 1 Divide by 0.8333333
x = 1/0.833333
x = 1.2 hours or
x = 1 hour and 12 minutes
The bending of a bean varies directly as its mas. A beam is bent 20mm by a mass 0f 40kg. how much will the beam bend with a mass of 100kg?
Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
[tex]20 \alpha 40kg[/tex]
[tex]\alpha[/tex] here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
[tex]20 = k \times 40[/tex]
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
[tex]Bending = 0.5 \times 100 =50mm[/tex]
There fore, the beam will bend by 50 mm with a mass of 100kg?
How many houses have an area less than 100^2m?
Answer:
4
Step-by-step explanation:
Each bar represents a range in area. The first bar represents the number of houses with an area of more than 50 but less than 100. It's height is 4, so there are 4 of those houses.
Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-3. 1) H(-5, -2) Note: Be prepared to explain your answer to this type of question on the test using length and slope. a) Rectangle b) Triangle c) Rhombus d) Square ---------------------------------------------------------------------------------------------------------------------------- What would prove the parallelogram PWRS is a rhombus? P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2) a)Length of QR is 2.2 and slope of QR is -2 b) Slope of QR and PS is -2 and Slope of RS and QP is -1/2 c) Length of QS and PR is 4.2 d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2
Detailed explanation:
The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:
The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.
Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.
= √[(-5 - (-3))² + (-2 - 1)²]
= √[(-2)² + (-3)²]
= √[4 + 9] = √13
Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2
Let's examine the outcomes now:
The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).
In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.
Therefore, the correct answer is c) Rhombus.
For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.
For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.
To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.
Let's analyze each option:
a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.
Diagonals are also congruent.
To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.
Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.
Since the diagonals are not congruent, the parallelogram is not a rectangle.
b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.
c) Rhombus: In a rhombus, all sides are congruent.
The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.
The slope of EF is -3/2, while the slope of GH is -3/2.
Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.
d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.
Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.
In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.
For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.
However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.
For similar question on parallelogram.
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On December 31, 2018, a share of a cosmetics company was worth $53.85. If the company
paid a year-end dividend of $4.75 per share, what is the dividend yield of the shares of the
company?
Answer:
Step-by-step explanation:
%($4.75 divided by 53.85) or is it the other way around. I always get these confuzzled.
Hope this helps some. That is the equation to solve for it. Sorry I wasn't much help on this subject
Answer:
it is 8.82% i did the test
A school trip requires students to score at least a total of 335 points on four tests. Each test is worth 100 points. If a student's scores on the first three tests
were 77, 95, and 82, what score would the student need on the last test to have no less than 335 points ?
O A. 79
OB. 75
O C. 93
O D. 81
Answer:
D. 81
Step-by-step explanation:
You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.
Answer:
D. 81
Step-by-step explanation:
To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.
if the standard deviation of a variable is 8, what is the variance?
Answer:
r]
Step-by-step explanation:
please help with this
Answer:
The tank has a capacity of 6000 liters
2.75 cubic meters of concrete
Step-by-step explanation:
posts does Tom need and what are the
dimensions of the fence?
I postdyards Therefore, Dimensions are
A bag of marbles can be shared equally among 3,
or 6 students with none left over. What's the least
amount of marbles that can be in the bag?
If there are 150 people born in the world every
minute; how many are bom every Hour? Day?
Year?
Answer:
1) 3 marbles
2) The number of people born every hour is 9000 people
The number of people born every day is 216,000 people
The number of people born every year = 78,840,000 people
Step-by-step explanation:
1) The given information are;
The number of students = 3 or 6
Amount of marbles remaining after sharing = None
Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles
The least amount of marbles that can be shared equally among the students = 3 marbles
2) The number of people born int eh world every minute = 150 people
The number of minute in one hour = 60 minutes
∴ The number of people born every hour = 150 × 60 = 9000 people
Given that the number of hours in one day = 24 hours
∴ The number of people born every day = 9000 × 24= 216,000 people
Given that the number of days in one year = 365 days
∴ The number of people born every year = 216,000 × 365= 78,840,000 people
FIRST GETS BRAINLLEST If you spin the spinner below 240 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 131 times B) Lands on yellow 95 times C) Lands on red 95 times D) Lands on blue 210 times
Answer:
it is d
Step-by-step explanation:
it is because d has more parts so it would land on it more then yellow and have a higher chance to land on blue
hope this helps
Answer:
C is the most reasonable.
Step-by-step explanation:
So we can put it in a ratio of 4:3:1. Then add all those up and do 240/8 which is 30. So each number in the ratio is 30. Then we do 4*30=120. 3*30=90. 1*30=30. Both red and blue are close to there answers but red is closer.
Find the value of x in each case:
Answer:
45°
Step-by-step explanation:
The sum of a triangle's angles is 180°.
Let's take the triangle FIG and try to express its angles in function of x.
● < F :
< F +3x = 180 => <F = 180 -3x
● < G :
IK and GH are paralell. IG is crossing them.
x and G are interior alternate angles so they have the same size.
< G = x
● < I :
We khow that < F = 180 -3x and < G = x
< I = 180-(< F + < G )
< I = 180 - ( 180-3x +x)
< I = 180 -(180-2x)
< I = 180 -180 +2x
< I = 2x
■■■■■■■■■■■■■■■■■■■■■■■
< F = 180 -3x
< G = x
< I = 2x
< I + > I + x + 2x = 360
2x + 180-x +3x = 360
4x + 180 = 360
4x = 180
x = 45°
●●●●●●●●●●●●●●●●●●●●●●●
Let's verify :
< F = 180 - 3*45 = 45 °
<G = x = 45°
< I = 2x = 90°
90° +45°+45° = 180°
So it's true.
Quick guys! Coordinates: (-3,-2) (0,4) Y=2x+4 Linear or non linear? Why?
Answer:
Linear
Step-by-step explanation:
y = 2x + 4 is linear -- any equation involving only first powers of x and y (and constants) is linear. You'll usually see linear equations in the forms y = mx + b, ax + by = c, or y - y1 = m(x - x1).
If you take any two points, find the slope of the line between them, and then plug in one point to solve for the constant term (like you did), you will get a linear equation through those points.
Answer:
it is linear pair of the variable
50 points, show your work. This table shows the battery life of 4 different mobile phones: Phone A: 20 hours Phone B: 25 hours Phone C: 10 Hours Phone D: 18 hours. If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day? Phone A Phone B Phone C Phone D
Answer:
phone c :)
Step-by-step explanation:
HELPPPP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answer:
26
Step-by-step explanation:
Let's find first the lower quartile in both A and B
steps:
look for the smallest sum of two consecutive numbers divide by 2 to get the lower quartile A73 and 75 are the smallest consecutive numbers
73+75 = 148 148/2 =74The lower quartile in A is 74
B47 and 49 are the smallest consecutive numbers
47+49 = 9696/2 = 48The lower quartile in B is 48
74-48 = 26Answer:
29
Step-by-step explanation:
To find the lower quartile of each you need to find the median to split them into 2 groups (upper and lower quartile).
Lower quartile of Set A: 73, 75, 79, 81, 84, 85
Lower quartile of Set B: 47, 49, 51, 51, 55, 56
Now you find the median of the 2
Set A: 80
Set B: 51
Lastly you subtract A & B and get 29
I need help finding which one is the dependent variable and the independent variable.
Why do grocery stores hire most younger people than older people?
Answer:
Younger ppl- Independent variable
Older ppl - Dependent variable
Step-by-step explanation:
Older ppl r old and need more attention and they r usually slow workers......Whereas ypung ppl r active and energetic and can do work a lot faster the old ppl
Dats the only answer dat came into my mind
Hope this helps....
Pls mark my answer as brainliest :)1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
1) TRIANGULAR PRISM
3) d. 144 cm3
Step-by-step explanation:
1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism
2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.
3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3
Answer:
Triangular prism.
Step-by-step explanation:
84"
7'
A
B
Given the conversion factor 12 in, which line segment is longer?
O A. Line segment A
O B. Line segment B
O C. They are the same size.
∠Q and ∠R are complementary. If m∠Q = 33.8°, what is m∠R ? m∠R = 146.2° m∠R = 33.8° m∠R = 123.8° m∠R = 56.2°
Complementary angles add together to equal 90 degrees.
R = 90 - 33.8
R = 56.2 degrees.
f(x) = 28 + 10x²; solve for f(1) and f(27)
Answer:
f(x) = 28 + 10x²
For f(1) substitute 1 into f(x)
That's
f(1) = 28 + 10(1)²
= 28 + 10
= 38f(27) = 28 + 10(27)²
= 28 + 7290
= 7318Hope this helps you