To label the three basket correctly , We have to pull out total two fruits from all of them
Let Say , We are drawing a fruit from a basket labelled "Mixture"
If this fruit is an apple, then indicate such on the label (Because this basket does not contain Mixture, so if one is apple, all are apples only). We've now discovered that the basket marked "Mixture" solely includes apples.
Therefore , the Correct Label is "apples"
Now, Drawing another fruit from basket labelled "Oranges," we can see that it either contains solely apples or mixture. The basket marked "Oranges" contains "Mixture," as we already know which basket only contains apples. Put "Mixture" on the label.
Oranges will be the name of the third basket.
The same reasoning holds true if you suppose that you initially chose an orange from the basket marked "Mixture."
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What is the process for doing the method of elimination for math systems?
Answer:
Elimination is the adding or subtracting of two equations used to solve them.
Step-by-step explanation:
Elimination is the adding or subtracting of two equations used to solve them.
Say you have this equation. [tex]\left \{ {{x + y=2} \atop {-x+y=6}} \right.[/tex]
Notice that the x in both equations are opposites. After adding together we get.
x + y - x + y = 2 + 6
2y = 8
y = 4
x + 4 = 2
x = - 2
(- 2,4)
Say you decide to subtract the equations.
[tex]\left \{ {{x+y=2} \atop {x+2y=8}} \right.[/tex]
x + y - x - 2y = 2 - 8
- y = - 6
y = 6
x + 6 = 2
x = - 4
(- 4, 6)
You can also multiply equations to make it easier to substitute.
[tex]\left \{ {{y+x=4} \atop {-2y+2x=8}} \right.[/tex]
[tex]\left \{ {{2y+2x=8} \atop {-2y+2x=8}} \right.[/tex]
2y + 2x - 2y + 2x = 8 + 8
4x = 16
x = 4
y + 4 = 4
y = 0
(4, 0)
Express the confidence interval (0.008, 0.094) in the form of p^ - E < p < p^ + E
_ < p < _
Answer: A confidence interval is a range of values that is estimated to contain the true value of a population parameter with a certain level of confidence. In the case of the given confidence interval (0.008, 0.094), the interval is estimated to contain the true value of the population parameter with a confidence level of 95%.
To express this confidence interval in the form of p^ - E < p < p^ + E, where p^ is the point estimate of the population parameter and E is the margin of error, we first need to find the point estimate of the population parameter. The point estimate is the midpoint of the confidence interval, which is found by taking the average of the lower and upper bounds of the interval. In the case of the given confidence interval, the point estimate is (0.008 + 0.094) / 2 = 0.051.
The margin of error, E, is found by subtracting the point estimate from the upper and lower bounds of the confidence interval. In the case of the given confidence interval, the margin of error is 0.094 - 0.051 = 0.043 for the upper bound, and 0.051 - 0.008 = 0.043 for the lower bound.
Thus, the given confidence interval can be expressed in the form of p^ - E < p < p^ + E as 0.051 - 0.043 < p < 0.051 + 0.043, which simplifies to 0.008 < p < 0.094. This is the same as the original form of the confidence interval.
1. Find the measure of y.
110°
z
yº
100°
87°
Answer:
97.8263768112
Step-by-step explanation:
Geometric Mean is denoted as 'x'
x = √(110×87)
x = √9570
∴ x = 97.8263768112
Define Geometric MeanThe Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values. For instance, the geometric mean for a given pair of numbers, say 3 and 1, is equivalent to (3 + 1) = 3 = 1.732.In other terms, the geometric mean is the product of n numbers divided by the nth root. The geometric mean differs from the arithmetic mean, as is noted. As a result of the fact that in arithmetic mean, the data values are added before being divided by the total number of values. However, when calculating the geometric mean, we multiply the provided data values before taking the root of the entire number of data values using the radical index. Take the square root, for instance, if there are two data points, the cube root if there are three, the fourth root if there are four, and so on.To learn more about Geometric Mean refer https://brainly.com/question/28347817
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Find the volume of the pyramid.
Answer:
180 ft^3
Step-by-step explanation:
volume of the pyramid = (1/3)(area of base) (height)
v= 1/3×(10×12÷2)×(9)
= 180 ft^3
Answer:
answer on the picture.....
What is the cubic polynomial with zeros (3,0), (-6,0), and (1,0)?
(Question 15)
Answer:
D
Step-by-step explanation:
when we have the zeroes, we can build the polynomial by multiplying factors that will turn the functional value to 0 at exactly these points.
f(x) = (x - 3)(x + 6)(x - 1)
we don't need to do the full multiplications to see that the constant term of the polynomial is the result of the multiplication of all 3 constant terms of the factors :
-3 × +6 × -1 = +18
and therefore, D is the correct answer (as it is the only answer option with +18 as constant term).
luka is making lemonade to sell at a school fundraiser. his recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. he uses 3 cups of lemon juice. how many cups of water does he need?
Luka will require 24 cups of water to make lemonades as calculated from the data given.
The quantity of sugar which he use is twice the amount of lemon which he us ,
= 2 x 3 = 6
and ,
as we know the amount of water is 4 times as much as lemon juice
Therefore, amount of water
= 4 * 6
= 24
A quantity in a Maths equation is a number or variable plus any algebraic combination of additional quantities. In an equation like x + 6 = 15, four values are represented.
A quantity can be described as the amount of something or how much of it there is. Quantity can also be used to refer to the size of something (its magnitude), whether in terms of numbers, units of measurement, or just relative size.
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cross-tabulation can only be used for two variables; each variable must have well-defined labels. true false
The statement "cross-tabulation can only be used for two variables; each variable must have well-defined labels " is false
The cross tabulation is defined as the tool that is used in statistics to categorical data. We can also says that that present the results of the entire group of respondents
The given statement is "cross-tabulation can only be used for two variables; each variable must have well-defined labels "
The cross tabulation method can be used to represent two or more variables. The cross tabulation table has x axis as one variable and y axis as another variables
The cross tabulation can be used for two or more variables
Therefore, the the given statement is false
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which of the following statements is a proposition? (a) get me a glass of milk (b) god bless you! (c) what is the time now? (d) the only odd prime number is 2
The proposition ststement is: the only prime number that is odd is 2.
The correct answer is an option (d)
In this question we have been given some statements.
we need to identify the proposition statement.
We know that a proposition is a declarative statement. In mathematics proposition gives a clear inference of whether a sentence is true or false. The proposition statement cannot be stated in two ways. The statement must be either correct or incorrect.
a) get me a glass of milkshake.
It is a commanding statement.
b) god bless you!
It is a type of optative statement.
c) what is the time now?
It is a question sentence.
d) the only odd prime number is 2.
It is a false proposition statement.
Therefore, option (d) is a proposition statement.
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A) a wooden block is formed in a the shape shown by cutting a right rectangular solid from a larger one. What is the volume of the block
B) check your calculations by using a second method to solve the problem
The volume of the rectangular block in this problem is given as follows:
1300 cm³.
How to obtain the volume of the block?The block is a rectangular prism, hence it's volume is given by the multiplication of it's dimensions, as follows:
V = length x width x height.
The dimensions for this block are given as follows:
Length: 16 cm.Width: 10 cm.Height: 10 cm.However, there is a small rectangular block that is removed from the prism, with the dimensions given as follows:
Length: 6 cm.Width: 10 cm.Height: 5 cm.Hence the volume of the rectangular block can be calculated as follows:
V = 16 x 10² - 6 x 5 x 10 = 1300 cm³.
(total volume subtracted by the removed volume from the empty space at the middle).
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Help me with this question please!!
Answer:
∠1 = 19°∠2 = 76°Step-by-step explanation:
You want to know the measure of angle 1 given that angle 2 is four times angle 1, and their sum is 95°.
Angle sum theoremThe angle sum theorem tells you the whole is equal to the sum of the parts.
∠1 +∠2 = ∠WXZ
Using the given information, we can write ...
∠1 + (4×∠1) = 95°
5×∠1 = 95° . . . . . . . . collect terms
∠1 = 19° . . . . . . . . . divide by 5
Then angle 2 is ...
∠2 = 4×∠1 = 4×19°
∠2 = 76°
Find two consecutive positive integers such that the square of the first decreased by 21 equals 6 times the second
The given two consecutive positive integers are 9 and 10.
What is an integer?It is a whole number that can be positive, negative, or zero.
Let consider x and x+1 as two consecutive positive integers.
Given that,
[tex]x^{2} -21=6(x+1)[/tex]
[tex]x^{2} -6x-27=0[/tex]
It can be written in fractional form like,
(x-9)(x+3)=0
so the values of x are 9 and -3.
Here, only positive integers are considered.
Hence 9 and 10 are the two consecutive positive integers.
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I need some with this I would really appreciate if you could be able to help me with this.
I don't see the picture. Can you send it in the message.
ow many ways can you get exactly six heads and exactly six tails if after six tosses you have had three tails and three heads?
The number of possible combinations available as calculated from the given data is 259200.
Coin just has a head and a tail.
The potential configuration is (6! * 6!)/2.
Divide by two because each coin has two faces.
The potential configuration is (6! * 6!)/2.
The potential configuration is (( 720 x 720)/2
The potential configuration is 259200.
259200 different combinations are available.
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data.
Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.
Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations can be counted in simpler situations. Combination is the taking together of n items, k at a time, without repetition.
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Select the number of the algebraic expression for "The room capacity does not exceed 250".
c>250
c≥250
c<250
c≤250
c≠250
The algebraic expression for "The room capacity does not exceed 250" is D. c≤250
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
It should be noted that "the room capacity does not exceed 250" simply means it should be less than or equal to 250. This will be c≤250.
In conclusion, the correct option is D.
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2. Divide. Write the answer in simplest
form.
6 2/3 divided by 4 1/5
Answer:
100/63
Step-by-step explanation:
6 2/3 ÷4 1/5
20/3÷21/5
20/3×5/21
1 37/63 or 100/63 or 1.587301587
so the answer is one (whole number) thirty seven over sixty three
The sum of the digits of a certain two digit number is 13. Twice the tens digit exceeds the unit digit by 2. What is the number?
Answer:
Step-by-step explanation:
6.5
FINALS PLEAZ HEL One year after you start a savings account you have $480 in the account. You were adding $120 each year write a linear function in the form y=mx+b that models your savings account a each year t after you start the account
Answer:
y = 120t + 480
Step-by-step explanation:
referring to question 28, what is the value of a difference such that 60% of the age differences are less than it?
A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.
what is age difference ?If the age is expressed as a ratio, such as p:q, then qx and px are taken into account as the age. If you assume that you are x years old now, then n times that number is (xn) years. If you're assuming that x is the current age, then 1/n of that number will equal (x/n) years.
calculation
Let's say there is an age difference of x and y,
in which case the answer to question 28 should be 2.03 years:
(x-y)*60/100.
A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.
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Solve for e.
2e + 3 + 7 = 2
e = [?]
A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true？
The true statements about the image of the parallelogram are,
The corresponding sides have different lengths.
The parallelograms are congruent.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A parallelogram in a coordinate plane is translated, rotated, and then reflected.
In the case of translation, rotation and reflection would only change its coordinate points, and the preimage and image will be congruent.
The coordinate points of the vertices would only change if given.
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Which equation is parallel to the equation y = x + 1 and goes through the points (1, 5)
A. y=x+5
B. y=x-1
C. y=x+1
D. y=x+4
Answer: D. y=x+4
Step-by-step explanation:
1. The equation will have the same slope
2. Plug in the given point to find b, the y-intercept
the function f(x) goes through the point (-2,6). which of the following translation of f(x) will go through the point (3,5)?
option 1; f(x-5)+1
option 2; f(x+5)-1
option 3; f(x-5)-1
option 4; f(x+5)+1
Answer:
Option 3: the function that goes through the point (3, 5) is f(x-5)-1
Step-by-step explanation:
To find which function goes through the point (3, 5), we can substitute 3 for x and solve for the value of f(x).
For option 1, f(x-5)+1, we have:
f(3-5)+1 = f(-2)+1 = 6+1 = 7
For option 2, f(x+5)-1, we have:
f(3+5)-1 = f(8)-1 = ?
For option 3, f(x-5)-1, we have:
f(3-5)-1 = f(-2)-1 = 6-1 = 5
For option 4, f(x+5)+1, we have:
f(3+5)+1 = f(8)+1 = ?
PLEASE THIS IS SERIOUS
Solve for x
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbles if the first one is placed back before the second draw. Write your answer as a ratio. Reduce to simplest terms
The probability of drawing two yellow marbles if the first one is placed back before the second draw is 1/25.
Explain the term probability with replacement?For queries where the results are repeated in the sample space, probability with replacement is utilized. This indicates that the item is replaced with in sample space after being picked, keeping the sample space's total number of items constant.The formula for the probability;
probability = favourable outcome/total outcome
The bag contains the marbles as;
yellow marbles: 2pink marble: 3blue marble: 5Total marble: 10Thus, probability of drawing 1st yellow marble.
probability(1st yellow) = 2/10 = 1/5
As the ball is placed again in the bag.
probability(2nd yellow) = 2/10 = 1/5
So, probability of drawing two yellow marble = 1/5 x 1/5 = 1/25.
Thus, the probability of drawing two yellow marbles if the first one is placed back before the second draw is 1/25.
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ayden deposits $2000 into a savings account with an annual interest rate of 3%. If he makes no further deposits or withdrawals, which graph shows the growth of his account balance?
$2,060.00 is the entire amount accrued from simple interest on a principal of $2,000.00 at a rate of 3% per year for 1 years, including principal and interest.
How to resolve our equation?Ayden deposits $2000 into a savings account with an annual interest rate of 3%.
To calculate simple interest, multiply the daily interest rate by the principle and the number of days between payments. Consumers that make on-time or early monthly loan payments benefit from simple interest.
A = $2,060.00
I = A - P = $60.00
A is equal to P(1 + rt).
First, convert R percent to r a decimal; for example, R/100 is 3%/100, or 0.03 per year.
A = 2000(1 + (0.03 × 1)) = 2060 \sA = $2,060.00
$2,060.00 is the entire amount accrued from simple interest on a principal of $2,000.00 at a rate of 3% per year for 1 years, including principal and interest.
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Here is part of a recipe for different-size cakes, showing the ratio of eggs to flour.
Make a table that represents the same situation.
eggs : 0 2 4 6
flour (cups) : 0 1.5 3 4.5
question, we have to calculate the ratio by dividing a by b we will get the ratio as [tex]\frac{4}{3}[/tex].
What is a ratio formula?Using the ratio formula, ratios can be represented as a fraction. The ratio formula for any two quantities says a and b, is a:b = a/b. Because a and b are individual amounts for two portions, the total quantity is given as (a + b).
How do you calculate the ratios of a recipe?Known Total Amount
Determine the total quantity to be produced.
Determine the total number of parts in the ratio.
Divide the total quantity made by the total number of parts to get the amount per part.
Calculate the amount of each ingredient by multiplying each component by the amount per part.
Given:
Here is the ratio of eggs to flour
Eggs(a) 0 2 4 6
Flour(b) 0 1.5 3 4.5
For the table look at the image.
as per the question, we have to calculate the ratio by dividing a by b we will get the ratios as [tex]\frac{4}{3}[/tex].
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9x + 2 = 10x +7
solve for x
Answer:
The value of x is (-5)
Step-by-step explanation:
9x + 2 = 10x + 7
9x - 9x + 2 - 7 = 10x - 9x + 7 - 7
(-5) = x
x = (-5)
Thus, The value of x is (-5)
What is the value of 5/9 ÷ 5/6? Responses
Answer:
2/3 or 0.667
Step-by-step explanation:
5/9 ÷ 5/6
5/9 * 6/5
1/3 * 2/1 (after cancelling off)
= 2/3
I need help!! Please if you know how!!
Answer:
Step-by-step explanation:
Answer: 2
Answer:2
Step-by-step explanation:
In AABC, b = 620 cm, ZC=106° and ZA=48°. Find the length of a, to the nearest
centimeter.
The length of A in the triangle is obtained as follows:
a = 282.74 cm.
How to obtain the missing side length?The first step in obtaining the missing side length is obtaining the measure of the missing angle.
The sum of the measures of the internal angles of a triangle is of 180º.
The angle measures for this triangle are given as follows:
106º.48º.26º. (as the sum of the three measures is of 180º).Then we have that:
The length of 620 cm is opposite to the angle of 106º.The length of a is opposite to the angle of 26º.Then the length of a is obtained applying the law of sines as follows:
sin(26º)/a = sin(106º)/620
Applying cross multiplication, we have that:
a = 620 x sin(26º)/sin(106º)
a = 282.74 cm.
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Answer:
the real answer is 1051
Step-by-step explanation:
