95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Consider the first four terms of an arithmetic sequence below. 7, 13, 19, 25 Determine the recursive and explicit formulas that describe this sequence. The recursive function that describes this sequence is f(1) = 7, f(n-1) {+7,+6,+1,+13}, n≥2. The explicit function that describes this situation is f(n) = {1,6,13,7} and f(10) = {61,59,69,71}.
The first four terms in an arithmetic sequence are ;
7,13,19,25,
The recursive formula will allow you to determine any term of the arithmetic sequence
In this case, find the common difference as
13-7 = 6
The first term is given as;
\(a_{n=}a_{n-1\text{ }}+\text{ d , n}\ge2\)Given the first term and the common difference , 6, substitute these in the formula as;
an= a1 + d{n-1}
= 7 + 6{n-1}
= 7 + 6n -6
an= 6n + 1 ---------explicit formula
For the recursive formula
\(a_{1\text{ = 7}}\)The common difference is =6
Then ;
\(a_{n=}a_{n-1+\text{ 6 , n}\ge2}\)An exam has 2 papers each scored differently. one is out of 120 and another is out of 80. Maryam scores 65% on the first and 80% on the second. work Maryam's total percentage score for her exam.
Maryam's total percentage score on her exam is 71%.
What is the total percentage score?
Percentage is the ratio of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %.
The first step is to determine the score on each paper.
Score on the first test = 65% x 120
(65 / 100) x 120 = 78
Score on the second test = 80% x 80
0.80 x 80 = 64
Total percentage score = (sum of scores / total score) x 100
Sum of scores = 64 + 78 = 142
Total score = 120 + 80 = 200
(142 / 200) x 100 = 71%
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find the quantity if v=5i-7j and w=3i+2j ||v||-||w||
\(\begin{cases} v=5i-7j\\\\ w=3i+2j \end{cases}\qquad \begin{cases} < \stackrel{a}{5}~~,~~\stackrel{b}{-7} > \\\\ < \stackrel{a}{3}~~,~~\stackrel{b}{2} > \end{cases}\qquad \qquad \stackrel{magnitude}{\sqrt{a^2 + b^2}} \\\\[-0.35em] ~\dotfill\\\\ ||v||~~ - ~~||w||\implies \sqrt{5^2+(-7)^2}~~ - ~~\sqrt{3^2 + 2^2}\implies \sqrt{74}-\sqrt{13} ~~ \approx ~~ 5\)
a painting was bought for $45895.the frame was changed for $2060.it was finally sold for $51080.what was the loss or gain?
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. Then use the equation you wrote and fill out the table.
the slope-intercept should be in this form
\(y=mx+b\)where m should be the value that changes with time and b the fixed charges
\(y=1.5x+4\)replace in the equation like this
\(\begin{gathered} \text{when x=2} \\ y=1.5\cdot(2)+4 \\ y=3+4 \\ y=7 \end{gathered}\)\(\begin{gathered} \text{when x=}4 \\ y=1.5\cdot(4)+4 \\ y=6+4 \\ y=10 \end{gathered}\)\(\begin{gathered} \text{when x=}6 \\ y=1.5\cdot(6)+4 \\ y=9+4 \\ y=13 \end{gathered}\)\(\begin{gathered} \text{when x=}8 \\ y=1.5\cdot(8)+4 \\ y=12+4 \\ y=16 \end{gathered}\)replace values in the table
The volume of the right cone below is 2767 units³. Find the value of x.
The value of x is approximately 49.4 units.
What is volume ?
Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.
Let's start by defining some variables:
r: radius of the cone
h: height of the cone
V: volume of the cone
A right cone has a circular base, and its volume can be calculated as follows:
V = (1/3) * π * r² * h
If the diameter of the base is 12 units, then the radius is half of that:
r = 6 units
We also know that the volume is 2767 units³, so we can write:
2767 = (1/3) * π * 6² * h
Simplifying:
h = (2767 * 3) / (π * 6²)
h ≈ 49.15 units
Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:
x² = r² + h²
Substituting the values we have:
x² = 6² + 49.15²
x ≈ 49.4 units
Therefore, the value of x is approximately 49.4 units.
In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.
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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12
Matthew has two kinds of rice shown in this table.
Rice
Brown:Amount (cups)
8 7/8
White: 6 3/4
How much more brown rice than white rice does Matthew have?
cups
ANSWER PLS
I will make Brainlyest
If 60th and 90th percentiles are 650 and 850 then what is the 75th percentile normal distribution
Answer:
(90+65)/2
=75
so
(650+850)/2
=750
In △ABC,a=14 , b=17 , and c=22 . Find m∠A . law of sines 4 A. 49.4 B. 39.5 C. 55.2 D. 50.45
The correct option is not available among the choices provided (A. 49.4, B. 39.5, C. 55.2, D. 50.45).
To find the measure of angle A in triangle ABC using the Law of Sines, we can use the formula:
sin(A)/a = sin(B)/b = sin(C)/c
Given that a = 14, b = 17, and c = 22, we can substitute these values into the formula:
sin(A)/14 = sin(B)/17 = sin(C)/22
To find angle A, we need to solve for sin(A) and then take the inverse sine (arcsin) of that value.
First, let's find sin(B) using the given information:
sin(B)/17 = sin(A)/14
sin(B) = (17 * sin(A))/14
Next, let's find sin(C):
sin(C)/22 = sin(A)/14
sin(C) = (22 * sin(A))/14
Since the sum of angles in a triangle is 180 degrees, we can calculate angle C:
angle C = 180 - angle A - angle B
Now, we can substitute the expressions for sin(B) and sin(C) into the equation:
(22 * sin(A))/14 = (17 * sin(A))/14 + sin(B)
To solve for sin(A), we can multiply both sides of the equation by 14:
22 * sin(A) = 17 * sin(A) + 14 * sin(B)
22 * sin(A) - 17 * sin(A) = 14 * sin(B)
5 * sin(A) = 14 * sin(B)
sin(A) = (14/5) * sin(B)
Finally, we can take the inverse sine (arcsin) of sin(A) to find the measure of angle A:
A = arcsin((14/5) * sin(B))
Now, since the values of angles B and C are not provided, it is not possible to directly determine the measure of angle A using the given information.
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in triangle QRS, the measure of angle RSQ is 48.2 degrees, and the SQR is 75 degrees. what is the QRS?
The measure of angle QRS in triangle QRS is found as 56.8 degrees.
What is angle?An angle is formed when two straight lines or rays meet at a common endpoint.
We know that the sum of the angles in a triangle is 180 degrees.
In triangle QRS,
angle RSQ = 48.2 degrees
angle SQR = 75 degrees.
48.2 + 75 + QRS = 180 (sum of angles in a triangle)
123.2 + QRS = 180
QRS = 180 - 123.2
QRS = 56.8
In conclusion, a triangle is described as a polygon with three edges and three vertices.
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PLEASE HELP!!! ON ALL QUESTIONS
Answer:
for the graph just like plot the x point on the x axis and the one next to it on the y table on the y axis
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options.
y(y + 5) = 750
y2 – 5y = 750
750 – y(y – 5) = 0
y(y – 5) + 750 = 0
(y + 25)(y – 30) = 0
The equations that can be used to solve for y, the length of the room, are: y(y + 5) = 750, y² – 5y = 750, and y(y – 5) + 750 = 0.
What is distributive property?It states that when multiplying a number by a group of numbers added together, you can multiply the number by each individual number in the group and add the products together to get the same answer.
In order to find the length of the room, we need to solve for y in each of the equations given.
First, let's solve for y in the equation y(y + 5) = 750. We can use the distributive property to expand the equation to y² + 5y = 750.
Then, we can subtract 750 from both sides of the equation to get y² + 5y - 750 = 0.
To solve the equation, we need to factor it. We can use the difference of squares formula to factor the equation, yielding (y + 25)(y - 30) = 0. Therefore, one solution for y is y = -25, and the other solution is y = 30.
Second, let's solve for y in the equation y² – 5y = 750.
To solve this equation, we can add 5y to both sides to get y² = 5y + 750. Then, we can divide both sides by y to get y = 5y + 750.
We can then subtract 5y from both sides to get y - 5y = 750. Finally, we can divide both sides by 5 to get y = 150.
Third, let's solve for y in the equation y(y – 5) + 750 = 0.
To solve this equation, we can use the distributive property to expand the equation to y² – 5y + 750 = 0.
Then, we can subtract 750 from both sides to get y² – 5y = -750.
To solve the equation, we need to factor it. We can use the difference of squares formula to factor the equation, yielding (y + 25)(y - 30) = 0. Therefore, one solution for y is y = -25, and the other solution is y = 30.
In conclusion, the equations that can be used to solve for y, the length of the room, are y(y + 5) = 750, y2 – 5y = 750, and y(y – 5) + 750 = 0. The solutions for y are y = -25 and y = 30.
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find the slope and y - intercept of x = 0
Answer:
When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.
Step-by-step explanation:
trust the process
) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negations of the given statements with the application of De Morgan's law and/or conditional law.
a) ∃x (¬P(x) ∨ ¬R(x))
De Morgan's law:
∃y ∀z(¬P(y) ∧ ¬Q(z))
b) ∃y ∀z(¬P(y) ∧ ¬Q(z))
The double negation:
∃y ¬∃z(P(y) ∨ Q(z))
c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
The conditional law:
¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:
a) ∀x (P(x) ∧ R(x))
The negation of this statement is:
∃x ¬(P(x) ∧ R(x))
Now let's apply De Morgan's law:
∃x (¬P(x) ∨ ¬R(x))
b) ∀y∃z(¬P(y) → Q(z))
The negation of this statement is:
∃y ¬∃z(¬P(y) → Q(z))
Using the conditional law, we can rewrite the negation as:
∃y ¬∃z(¬¬P(y) ∨ Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negation of this statement is:
¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
Using the conditional law, we can rewrite the negation as:
¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))
Applying De Morgan's law:
¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))
Simplifying the double negation:
¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))
Using De Morgan's law again:
¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))
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The Venn diagram below shows the events A and B, and the probabilities p, q and r.
It is known that P(A)=0.43 , P(B)=0.62 and P(A∩B)=0.27 .
Calculate the value of p
Calculate the value of q
Calculate the value of r
Find the value of P (A given NOT B)
The value of q is 0.35.
The value of p is 0.16.
The value of r is 0.27.
The value of P(A given NOT B) is approximately 0.4211.
To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.
Given:
P(A) = 0.43
P(B) = 0.62
P(A∩B) = 0.27
Calculating the value of p:
The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.
We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:
p = P(A) - P(A∩B)
= 0.43 - 0.27
= 0.16
Therefore, the value of p is 0.16.
Calculating the value of q:
The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.
We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:
q = P(B) - P(A∩B)
= 0.62 - 0.27
= 0.35
Therefore, the value of q is 0.35.
Calculating the value of r:
The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.
We are given that P(A∩B) = 0.27, so the value of r is 0.27.
Therefore, the value of r is 0.27.
Finding the value of P(A given NOT B):
P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.
To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.
P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)
We can calculate the value of P(A given NOT B) using the provided probabilities:
P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))
= 0.43 - 0.27 / (1 - 0.62)
= 0.16 / 0.38
≈ 0.4211
Therefore, the value of P(A given NOT B) is approximately 0.4211.
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FInd the measure of the arc using the picture provided , please and thanks
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why?
Answer:
Parameter
Step-by-step explanation:
A statistic describes a sample. A parameter describes a population. Since the entire population of second graders in the district is surveyed, this is a parameter.
Anyone know the answer?
Answer:what answer screenshot glitching
Step-by-step explanation:
Which expression is equivalent to
Answer:
The answer is the third option
Step-by-step explanation:
When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.
So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.
Help help help help
Answer:
Step-by-step explanation:
A(0,4)
B(6,-4)
C(-2,-8)
just multiply every point by 2
You deposit $7200 in an account that pays 9.3% interest compounded yearly. Find the balance after 9 years.
a) $26751.86
b) $6696.00
c) $16029.28
d) $13896
Answer:
c
Step-by-step explanation:
llan's family stays at a hotel and the room is $199 per night.
They stay for 4 nights and leave a 12% tip to housekeeping.
How much does their hotel cost total.
With a 12% housekeeping gratuity, the hotel bill for 4 nights comes to $891.52.
What is unitary method?
"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value.
For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
According to our question-
Total cost = Bill before tip + Tip
Total cost = $796 + $95.52
Total cost = $891.52
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Question 8 of 10
Simplify (7 + 1)2 – (11 + 32) - 4.
Answer:
Does anyone watch shaurya aur anokhi ki on star plus an Indian serial you'll love it I guarantee
Find the slope of a line parallel
to 2y= 6x+8
The slope of a line parallel to 2y= 6x+8 is 3.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:
m₁ = m₂
By making y the subject of formula, we have:
2y = 6x + 8
y = 3x + 4
Therefore, the slope is 3.
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4.) A bag contains colored tiles.
.
3 tiles are red
6 tiles are green
3 tiles are blue
.
A tile will be randomly selected from the bag. What is the probability in decimal form that the
tile selected will be green?
F
0.6
G
0.33
H 0.5
J 0.75
Answer:
H.
Step-by-step explanation:
Answer:
AHHHH
Step-by-step explanation:
AHHH
If CE= 7x+4
x+3 + 8x-9 = 7x+4
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
Question 7
1 pts
Simplify the following expression:
-9(14p - 8) - 4p
-130p + 72
O 122p - 72
0-130p - 18
O 130p - 72
Answer:
Step-by-step explanation:
i
Given: LM ∥ KN
LP ⊥ KN , KL = MN
KN = 30, LM = 20
m∠KLM=126°
Find: LP
An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.
Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.
From the question, let the length of LP be represented by x.
Thus, from the given question, it can be deduced that;
LM ≅ PN = 20
KP = KN - PN
= 30 - 20
KP = 10
LP = x
Also,
<MLP is a right angle, so that;
< KLP = < KLM - <PLM
= 126 - 90
<KLP = \(36^{o}\)
So that applying the Pythagoras theorem to triangle KLP, we have;
Tan θ = \(\frac{opposite}{adjacent}\)
Tan 36 = \(\frac{10}{x}\)
x = \(\frac{10}{Tan 36}\)
= \(\frac{10}{0.7265}\)
x = 13.765
Therefore the side LP ≅ 14.
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