The possible values of the expression 1/a = 1/2 is 2
The expression is the simple fraction form = 1/a
The expression is the defined as the a sentence with a minimum of two variables and at least one math operation.
The simple fraction is fraction that contains the numerator and denominator as whole number. The term one the top of the simple fraction called as the numerator and bottom term is called as the denominator.
Here it is given that
1/a = 1/2
Therefore the value of a = 2
Hence, the possible values of the expression 1/a = 1/2 is 2
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a 2-member committe will be selected from 6 members of high school student council to attend a rally in washington, d.c. how many different 2-member committes are possible?
The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.
15 different 2-member committees are possible.
What is a permutation vs combination?Subsets of a set can be created in two different ways: combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a particular order.The various ways in which items from a set may be chosen, usually without replacement, to form subsets, are called permutations and combinations. When the order of the selection is a factor, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.C(6,2) = 6!/(4!2!) = 15.
15 different 2-member committees are possible.
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What percentage of this shape is shaded?
Answer:
You need to show the image
Step-by-step explanation:
Answer: 3.45
Step-by-step explanation:
In ∆ STU, the measure of < U=90°, UT=12, SU=35, and TS=37. What ratio reprecents the secant of < T?
By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").
You can identify that the triangle STU is a Right triangle, because:
[tex]\angle U=90\degree[/tex]The following is one of the Trigonometric ratios. It's called "Secant":
[tex]\sec \alpha=\frac{hypotenuse}{adjacent}[/tex]In this case you can identify that:
[tex]\begin{gathered} \alpha=\angle T \\ hypotenuse=TS=37 \\ adjacent=UT=12 \end{gathered}[/tex]Then, substituting values, you get that the answer is:
[tex]\sec \angle T=\frac{37}{12}[/tex]The Pythagorean Theorem
What is the distance between the points (1.7,-1) and (3.2,-1.8)?
Answer:
i hope it was good for you
There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answer:
Step-by-step explanation:
70+59+55+25+30+17=276
The probability that the person selected at random doesn't use any facility is 0.25
What is probability?The probability of an event can be mathematically said to be the number of required outcome divided by the number of possible outcomes.
From the question:
Total people in the sport centre=125Number of people that used all three facility=6Number of people that used only gym and pool=25-6=19Number of people that used only pool and track=39-6=24Number of people that used only gym and track=17-6=11Number of people that used only gym=59-(6+11+19)=26Number of people that used only pool=79-(6+19+24)=21Number of people that used only track=55-(6+11+24)=14Total number of people who used at least any of the three facilities=26+21+14+11+19+24+6=121
The number of persons that doesn't use any of the facility=125-121=4
Hence, the number of possible outcomes=4 and the probability that the person selected at random doesn't use any facility is 1/4 or 0.25
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Use the associate property to write an expression equivalent to (w+9)+3
W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (w+9)+3
The operator in given expression is plus and variable is W.
The associative property of addition states that Changing the grouping of addends does not change the sum.
(x+y)+z=x+(y+z)
Similarly (W+9)+3=W+(9+3)
W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
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30 POINTS!!!!! NEEDS HELP ASAP!!!!
The associative property of addition says you can change the______. of addends without affecting the sum.
A. grouping
B. operation
C. order
Answer:
C. order
Step-by-step explanation:
The associative property of addition allows you to change the of numbers without affecting the sum.
Answer: Grouping
Step-by-step explanation:
Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
Consiter this prism Enter the volume of the rectangular prism, in cubic centimeters.
To find the volume of the given prism, first, we have to transform each mixed number into a fraction
[tex]\begin{gathered} 3\frac{3}{4}=\frac{3\cdot4+3}{4}=\frac{12+3}{4}=\frac{15}{4} \\ 3\frac{1}{3}=\frac{3\cdot3+1}{3}=\frac{9+1}{3}=\frac{10}{3} \\ 2\frac{1}{2}=\frac{2\cdot2+1}{2}=\frac{4+1}{2}=\frac{5}{2} \end{gathered}[/tex]Then, we multiply the dimensions to find the volume
[tex]V=\frac{15}{4}\times\frac{10}{3}\times\frac{5}{2}=\frac{750}{24}=\frac{375}{12}ft^3=\frac{125}{4}ft^3=31\frac{1}{4}ft^3[/tex]But, we know that 1 foot is equivalent to 30.48 centimeters, so let's transform it
[tex]31.25ft^3\cdot\frac{30.48\cdot30.48\cdot30.48(cm)^3}{1ft^3}\approx884,901\frac{23}{50}(cm)^3[/tex]Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n
Answer:
X=11
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
Because, [tex](8*18+14)=(9*18-4)[/tex] is true
what mathematical symbol goes between the two parentheses to show that you will be using the distributive property?
dont give explanation just answer qquick!
8 x 57 = (8 x 50) _____(8x7) 6th grade math
The addition symbol (+) can be used in between the two parentheses to show that you will be using the distributive property.
Distributive property:
The distributive property states that multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
It can be written as,
a x (b + c) = (a x b) + (a x c)
Where a, b and c are the values of the variables.
Given,
Here we have the expression:
8 x 57 = (8 x 50) _____(8x7)
Here we need to find the symbol that can be used in between the two parentheses to show that it will be using the distributive property.
Based on the definition of the distributive property we have know that the symbol (+) can be used to make this one as distributive property used equation.
Therefore, the expression is written as,
8 x 57 = (8 x 50) + (8x7)
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Fill in the missing. How many solutions does the equation have? what does the simplified equation mean?
5.5x - 2.1 = 3 + 5.5x
5.5x - 2.1 - _____ x = 3 + 5.5x - _____ x
_____ = _____
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a direct consequence.
Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.
The equation is given below.
5.5x - 2.1 = 3 + 5.5x
Subtract 5.5x on both sides, then simplify the equation.
5.5x - 5.5x - 2.1 = 3 + 5.5x - 5.5x
0x - 2.1 = 3
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
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Use point-slope form to write the equation of a line that passes through the point (19,-12) with slope -3
Answer:
Step-by-step explanation:
The formula is :
(y - y1) = m(x - x1)
the given values are x1 = 19, y1 = -12 and m = slope = -3
putting values
(y + 12)= -3(x-19)
y + 12 = -3x +57
y+ 3x - 35 = 0
This is the required equation.
Find an
an equation for the perpendicular bisector of the line segment whose
endpoints are (–4,3) and (−8,—3).
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
what is the range of :
-6
-2.
11
8
10
12
Answer:
18
Step-by-step explanation:
The range is the biggest number minus the smallest number.
The biggest number is 12.
The smallest number is -6 .
Range = 12-(-6) = 18
when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction
Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate. lacking in strength or substance.
How many participants in Milgram's study obeyed all the way to the end?In his book Understanding Milgram's Work Today, Robert Burger pointed out that in the original experiment, 79 percent of subjects who persisted after the learner's initial screams at 150 volts persisted all the way to the end of the scale, at 450 volts.The experiment had only one variation in which 26 out of 40 subjects obeyed, and this variation is where the figure of 65% of people following orders applied. In certain iterations of the study, not a single participant heeded the experimenters' commands, while in other modifications, many fewer participants were willing to do so.To learn more about Milgram's study refer to:
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Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.
If Thelma earns a 6% commission based on the negotiated sale price, how much will she earn for this sale?
When Thelma earns a 6% commission based on the negotiated sale price, the amount earned is $9180.
How to calculate the value?From the information, Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.
The sales price will be:
= $180000 - (15% × $180000)
= $180000 - $27000
= $153000
Sine she earns 6% commission, this will be:
= Percentage × Sale price
= 6% × $153000
= 0.06 × $153000
= $9180
The commission is $9180.
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Solve The Equation, x= ?
Answer:
x=1Step-by-step explanation:
To solve the equation of 7/3x+1/3x=1+5/3x, isolate the term of x from one side of the equation.
First, you subtract by 5/3x from both sides.
[tex]\rightarrow \sf{\dfrac{7}{3}x+\dfrac{1}{3}x-\dfrac{5}{3}x=1+\dfrac{5}{3}x-\dfrac{5}{3}x}[/tex]
Solve.
[tex]\rightarrow \boxed{\sf{x=1}}[/tex]
Therefore, the solution is x=1, which is our answer.
I hope this helps, let me know if you have any questions.
Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
a cup of all-purpose flour as an ingredient
White sugar, 2 tablespoons
Baking powder, two teaspoons
1 salt shaker, or as desired
a cup of milk
Vegetable oil, two tablespoons
1 beaten egg
How to make a pancakes?Directions
In a sizable basin, mix the flour, sugar, baking soda, and salt. Pour the milk, oil, and egg into the center well that has been created. Blend until uniform.
Over medium-high heat, preheat a griddle or frying pan with a little oil. For each pancake, pour or scoop about 1/4 cup of batter onto the griddle; cook for 1 to 2 minutes, or until bubbles form and the edges are dry. The opposite side should be browned after flipping. Use the leftover batter to repeat.
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on a test consisting of 250 questions, jassi answered 40% of the first 125 questions correctly. what percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%
test of 250 questions
40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok
If jassi needs 60% of the 250 ok, that is 250(0.6) = 150
If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125
If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%
Answer:
Jassi needs 80% of the second 125 questions to be ok
Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range.
explanation is ideal but not essential :)
Considering the absolute value function, it is found that:
The vertex is at (-3,0).The domain is all real values.The range is [0, ∞).Absolute value functionThe absolute value function of vertex at point (h,k) is defined according to the following rule:
f(x) = |x - h| + k.
In the context of this problem, the function is given as follows:
g(x) = |x + 3|.
Hence the coefficients are:
h = -3, k = 0.
Meaning that the coordinates of the vertex are given by:
(-3,0).
The domain is the input values of the function, and since the absolute value function has no restriction, it is composed by all real values.
The range of the function is the set containing the output values of the function, and since the function has no vertical shift, it is the non-negative numbers.
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the triangles below are similar. Find the value of x.
Answer:
x=9
Step-by-step explanation:
both sides are 14 and the other triangle is 7 so 14/7=2 and 18/2=9
Caleb predicted that his favorite player would score 27 points in the firrst round of the NCAA tournament game. The player actually scored 23 points. What is the percent ERROR of Caleb's prediction? Round your answer to the nearest tenth of a percent.
Given that
Caleb predicted player would score 27 points.
But he scored 23 points.
so percentage error,
[tex]\begin{gathered} \text{percetage error=}\frac{27-23}{27}\times100 \\ =\frac{4}{27}\times100 \\ =14.81\text{ \%} \end{gathered}[/tex]Please help me find this
Center of circle = (-3, 6)
Diameter = 6
General equation of circle: x² + y² = r²
our answer will be in the form:
(x+a)² + (y+b)² = r²
Substitute center values and radius:
a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)
b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)
r = 6/2 which is 3
answer: (x+3)² + (y-6)² = 3²
PLEASE HELP! due soon
Answer:
Your answer is 103.2413793103448
Step-by-step explanation:
[tex]29.94[/tex] ÷ [tex]29[/tex] [tex]= 1.032413793103448[/tex]
[tex]1.032413793103448[/tex] × [tex]100 = 103.2413793103448[/tex]
The area of a rectangle is 60 cm². The length is 11 cm more than the width. Find the width
Answer:
5
Step-by-step explanation:
let width be x
and because length is 11 times more than the width, therefore length equals to 11x
hence the equation equals to
area = length x width
60 = 11x + x
60 = 12x
x = 60/12
therefore, the width of the rectangle is 5
the mean cost of a five pound bag of shrimp is 40 dollars with a variance of 36. if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 2.5 dollars? round your answer to four decimal places.
The probability that the sample mean would differ from the true mean by more than $2.5 is 0.0062
Mean cost of the five pound shrimp bag = $40
Variance of the five pound shrimp bag = $36
The number of the shrimp bag = 43
The given mean value = $2.5
The z-score = $2.5
The probability of the sample mean differ by $2.5 from the true mean can be calculated by
P(z > 2.5) = 1 - P(z < 2.5)
From the z table , we can get the value of z < 2.5 which is 0.9938
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
Therefore , the probability of sample mean from the true mean by 2.5 is 0.0062
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Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? +3(4-1) - 7 + 2³ Step 1: = // +3(3) - 7 + 2³ Step 2: = + 3(3) 7 + 8 Step 3: = Step 5: Step 6: = Step 4: = O A. B. - O c. O D. S 15 (3) 7 + 8 45 - 7 + 8 31+8 Step 5 Step 4 Step 1 Step 3 A
Answer:
Step 3
Step-by-step explanation:
The mistake was made in Step 3.
Trey's mom agreed to buy him a playstation card for $20, but it would come out of his chore money. He already has $7 in his wallet and will earn 15 for his chores. How much will he have left after paying his debt?
Answer:
2$
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
trey's mom bought him a card for $20, if he already has $7 & will get $15 for his chores, add them together & thats $22. Once he pays off the $20 he will have $2 left.
Select all rational numbers.
O√75
0-√25
02. √7
100
√0.36
✓0.0144
√
0-√√
36
49
All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
What is Rational number?
A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
All the numbers are,
1. √75
2. - √25
3. 2√7
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
Now,
1. √75 = 8.660250
Clearly, It cannot be written as the form of p / q.
So, It is not a rational number.
2. - √25 = - 5
It can be written as;
- √25 = - 5 / 1
So, It is a rational number.
3. 2√7
Since, √7 is an irrational number.
So, 2√7 is not a rational number.
4. 100
It can be written as;
100 / 1
So, It is a rational number.
5. √0.36 = 0.6
= 6 / 10
= 3 / 5
Thus, It is a rational number.
6. √0.0144 = 0.12
= 12 / 100
= 3 / 25
So, It is a rational number.
7. √36 = 6
= 6 / 1
So, It is a rational number.
8. √ 49 = 7
= 7 / 1
So, It is a rational number.
Therefore, All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
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In this case, I need to find the value of x. Whatever x is I need to substitute it into the expressions representing sides. I am informed that this is an isosceles triangle.
Remember all angles of a triangle equal 180 degrees, and all the other geometry stuff.
Please help :)
Answer:
x = ?
Step-by-step explanation:
Since there are two congruent angles, their respective sides are also congruent (an angle's respective side is the side opposing it, the side that it does not touch). Meaning, the 3x-7 side is congruent to the 2x side.
So just set them equal to each other to find x.
3x - 7 = 2x
x = ? (You can do this. Solve for x algebraically.)
The 4x-10 doesn't really matter here since you just need to find x.