The given equation is:
\(x+3=6\)To find the value of x, subtract 3 from both sides of the equation:
\(\begin{gathered} x+3-3=6-3 \\ \end{gathered}\)Evaluate the differences on both sides:
\(x=3\)The value of x is 3.
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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Find the Absolute Value of:
151
101-
1-31-
1-305-
Answer:
Step-by-step explanation:
151 = 151
|-101| = 101
1-31-
1-305-
Two right triangles are proportional. The shortest leg of the small triangle is 4 in and the hypotenuse is 12 in. The shortest
leg of the large triangle 8 in. Find the length of the hypotenuse of the large triangle.
A.12
B.21
C.20
D.24
Answer:
D) 24
Step-by-step explanation:
scale factor is 2
since 4 x 2 is 8 then 12 x 2 is 24
can you please give me a short brief answer
Answer:
120 yards 1.
Step-by-step explanation:
In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:
Area of rectangle = length × width
12 × 15 = 180 yards²
Area of triangle = ½ × base × height
½ × 10 × 12 = 60 yards²
Now subtract the area of triangle from the area of rectangle:
180 - 60 = 120 yards ²
In a binomial situation, n = 4 and π = 0.30. Find the probabilities for all possible values of the random variable, x (0, 1, 2, 3, 4, 5, 6).
The corresponding probabilities of the random variables x = (0, 1, 2, 3, 4, 5, and 6) are (0.2401, 0.4116, 0.2646, 0.0756, 0.0081, 0, and 0)
How find the probabilities for all possible values of the random variable?Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:
P(x = r) = nCr . π^r . q^n-r
Given: n = 4 and π = 0.30, q = 1 - π = 1 - 0.30 = 0.70 and x = (0, 1, 2, 3, 4, 5, 6)
P(x = 0) = 4C0 × 0.3⁰ × 0.7⁴⁻⁰ = 0.2401
P(x = 1) = 4C1 × 0.3¹ × 0.7⁴⁻¹ = 0.4116
P(x = 2) = 4C2 × 0.3² × 0.7⁴⁻² = 0.2646
P(x = 3) = 4C3 × 0.3³ × 0.7⁴⁻³ = 0.0756
P(x = 4) = 4C4 × 0.3⁴ × 0.7⁴⁻⁴ = 0.0081
P(x = 5) = 0
P(x = 6) = 0
Note: P(x = 5) and P(x = 6) are 0 because their x (5 and 6) is greater than the n (4)
Therefore, the probabilities of the random variables x(0, 1, 2, 3, 4, 5, and 6) are 0.2401, 0.4116, 0.2646, 0.0756, 0.0081, 0, and 0 respectively
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Define decimal number system.
\( \\ \\ \\ \\ \)
Answer:
\(\huge\colorbox{violet}{✏﹏ \: BTS \: }\)
➳ Ofc BTS!!!!!
➳Jimin - BTS
The radius of a circle is 3 inches. What is the area of a sector bounded by a 54º arc?
r=3 in
540
Give the exact answer in simplest form.
square inches
Please help −4 2/1÷(−1 8/3)
1. A limit imposed by the government on the quantity of a good or product that can be brought into the
country is called a
a. tariff
b. quota
c. foreign bill of exchange
d. value added tax
2. Which of the following would not be an effective argument for the U.S. to enact trade restrictions?
Oa.
a. they shield U. S. workers from competition by cheap foreign labor
b. they may benefit the security and defense of the nation
c. they help the U.S. maintain diverse industries
Od. they make foreign products cheaper to U.S. shoppers
3. What does it mean if a country is on the gold standard?
Oa.
a.
it sets the value of its currency in relation to a specific amount of gold
Ob. it creates specific standards by which gold is made into jewelry
c. it uses gold instead of paper currency
Od. none of these
4. Economists tend to classify a country as less developed if the country's average level of Income is less
than
a. $9,500 per person
b. the average per-person-income of neighboring countries
Oc. $3,040 per person
C.
Od. a U.S. welfare recipient's income
5. Which of the following would not be considered a barrier to economic development?
a. high levels of political corruption
Ob. low population growth
Oo
Od. shortage of investment capital
c. low human capital
1) b. quota
2) d. they make foreign products cheaper to U.S. shoppers
3) a. it sets the value of its currency in relation to a specific amount of gold
4) c. $3,040 per person
5) b. low population growth
We have,
1)
A limit imposed by the government on the quantity of a good or product that can be brought into the country is called a quota.
Tariffs, on the other hand, are taxes imposed on imported goods, while foreign bills of exchange refer to payment methods in international trade, and value-added tax (VAT) is a tax on the value added to goods and services.
2)
The argument that enacting trade restrictions makes foreign products cheaper to U.S. shoppers is not effective because it is contradictory.
Trade restrictions, such as tariffs or quotas, are intended to make foreign products more expensive and protect domestic industries from foreign competition.
3)
If a country is on the gold standard, it means that it sets the value of its currency in relation to a specific amount of gold.
The value of the currency is directly linked to the amount of gold held in reserves by the government and can be exchanged for gold at a fixed rate.
4)
Economists tend to classify a country as less developed if the country's average level of income is less than $3,040 per person.
This is the World Bank's definition of low-income countries, which are typically characterized by high levels of poverty, limited access to education and healthcare, and underdeveloped infrastructure.
5)
Low population growth is not considered a barrier to economic development.
In fact, some economists argue that high population growth can put a strain on resources and hinder economic development.
Barriers to economic development typically include factors such as political corruption, lack of investment capital, and low levels of education and human capital.
Thus,
1) b. quota
2) d. they make foreign products cheaper to U.S. shoppers
3) a. it sets the value of its currency in relation to a specific amount of gold
4) c. $3,040 per person
5) b. low population growth
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please help need to solve this fastt
Answer:
1979
91%
Step-by-step explanation:
Given the relation :
P = (318t + 6792) / (1.19t + 107.36)
P = % of household with PC
t = years since 2000
1.) We need to find t, when P = 85%
P = 0.85
0.85 = (318t + 6792) / (1.19t + 107.36)
0.85(1.19t + 107.36) = (318t + 6792)
1.0115t + 91.256 = 318t + 6792
Collect like terms :
1.0115t - 318t = 6792 - 91.256
−316.9885t = 6700.744
t = 6700.744 / - 316.9885
t = - 21.138760
t = - 21 years
2000 - 21 years = 1979
Percentage who had computer in 2014
t = 2014 - 2000 = 14
P = (318(14) + 6792) / (1.19(14)+ 107.36)
P = (4452 + 6792) / (16.66 + 107.36)
P = 11244 / 124.02
P = 90.6627
P = approximately 91%
Will give brainliest
Find the lateral surface area of
the following cylinder:
3 cm
3 cm
LSA = [ ? ]i cm2
Leave your answer in terms of ri.
Enter the number that goes in the green box.
Answer:
18Step-by-step explanation:
Given,
Radius of the cylinder = 3cm
Height of the cylinder = 3cm
Therefore,
Lateral surface area of the cylinder
\( = 2\pi rh\)
\( = 2\pi \times 3 \times 3 {cm}^{2} \)
\( = 2\pi \times 9 {cm}^{2} \)
\( = 18\pi {cm}^{2} \)
Hence,
The required value in the green box will be 18 (Ans)
Answer:
18 pi
Step-by-step explanation:
hop this helps
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
What is the inverse of 520/2 = 260?
260/520 = .5
260 * 2 = 520
2/520 = .004
260 * 520 = 135,200
Answer:
The answer is 260 * 2 = 520
Step-by-step explanation:
520/2 = 260
Multiply both sides by 2
We have
260 × 2 = 560
Hope this helps
What is the compound interest earned on a four year investment at $3500 at 4.5% compounded monthly
The compound interest earned on a four year investment at $3500 at 4.5% compounded monthly is $724.46 (calculated by subtracting the initial investment amount of $3500 from the total amount of $4224.46).
Compound interest is the interest that is generated on the interest that has been accrued over a certain period of time.
The compound interest that is earned on a four year investment at $3500 at 4.5% compounded monthly can be calculated using the formula for compound interest, which is given as:
A = P(1 + r/n)^(nt)
Where:
A is the total amount of money after the investment period,P is the principal or initial amount of money invested,r is the annual interest rate,n is the number of times the interest is compounded in a year,
t is the total number of years the investment is held.Substituting the given values in the above formula,
we get:A = 3500(1 + 0.045/12)^(12*4)A
= 3500(1 + 0.00375)^(48)A
= 3500(1.00375)^(48)A
= 3500(1.2067)A
= $4,224.46
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At 6 AM today, you purchased 1 MW of electricity
contract for 12 PM at a price of 100 pounds/MWh. Two
hours later, the forecast for solar generation for 12 PM
has changed from 4 GW to 4.5 GW. The market is
currently bid at 95 pounds/MWh and offered at 105
pounds/MWh. What would you do, and why? Please
answer logically, stating all assumptions. Note that no
additional research is needed.
I would sell the 1 MW of electricity contract for 12 PM at the bid price of 95 pounds/MWh, and lock in a loss of 5 pounds/MWh.
The projection for solar power has increased from 4 GW to 4.5 GW, which suggests that there will be more electricity available than anticipated by 12 PM, which would probably result in a decrease in market pricing.
The market is illiquid and volatile, as seen by the bid-offer spread of 10 pounds/MWh, and if I wait, the price may swing even further against me.
Regarding the supply or demand of electricity at 12 PM, I have no additional knowledge or predictions, and I don't want to guess on how the market will behave.
Instead of sticking onto the contract and expecting for a price increase, I would rather close my position and reduce the chance of more losses.
Since I am a risk-averse trader, I don't want to expose myself to the electrical market unnecessarily.
I don't have any other investments or hedging plans in the power market that would influence my choice.
I am free to purchase or sell any quantity or grade of power at 12 PM without any restrictions or commitments.
Forecasts and market prices are accurate and reflect actual supply and demand dynamics.
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Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?
The local weather forecast has been accurate for 25 of the past 37 days. Based on this fact, what is the relative frequency probability that the
forecast for tomorrow will be accurate?
The relative frequency probability that the forecast for tomorrow will be accurate = 16/33.
What is probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.P(A) = Number of accurate days/ Total number of days
Here, the number of accurate days is 25 and total number of days is 37.
Substitute the above values as follows:
P(A) = 25/37
Hence, the relative frequency probability that the forecast for tomorrow will be accurate = 16/33.
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PLEASE HELP ME FAST!!!!!
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer. (10 points)
The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.
We know that,
The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.
The mean is gotten from the formula;
x' = ∑x/n
Number of hours of work per day are; 6, 7, 8, 9 and 10
Thus; sum up all of it
∑x = 6 + 7 + 8 + 9 + 10
∑x = 40
Mean is; x' = 40/5
x' = 8
Since Ryan concluded that the average is 8 hours,
Therefore,
We can say that Ryan is correct.
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HELP!
Do units affect significant figures? For example, I know that the number 5600 has two significant figures. But if I wrote it as 5600 L, would the unit "L" count as a sig fig? Please help me!!
I need help with this question please with details
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
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Identify the property you would use to solve this equation:
y - 7 = 28
The property used to solve y - 7 = 28 is the Addition Property of Equality
The spray from a spinning lawn sprinkler makes a circle with a 40 foot radius. If Ben and his friends what to play and get wet, how much space do they have? (ENTER NUMBER ONLY)
Therefore, Ben and his friends have approximately 5026.55 square feet of space to play and get wet in. Answer: 5026.55
What is circle?A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a constant distance from a single fixed point called the center. The distance between the center and any point on the circle is called the radius, which is a fixed length for all points on the circle.
A circle is a closed curve and is often represented by the symbol "O". It has several important properties, such as its circumference (the distance around the circle) which is given by the formula C=2πr, where r is the radius, and π (pi) is a mathematical constant approximately equal to 3.14159.
So, the area of the circle covered by the sprinkler is:
A = π *\((40)^{2}\) ≈ 5026.55 square feet
Therefore, Ben and his friends have approximately 5026.55 square feet of space to play and get wet in.
Answer: 5026.55
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Which one is a continuous variable?
a. number of balls in an urn
b. weight of a ball
c. shoesize
d. number of artifacts
Answer:
b. weight of a ball
Step-by-step explanation:
The weight of any thing is continuous
I hope this help you
Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2.5 years. Let X be the age at which a refrigerator is replaced. Assume that X has a distribution that is approximately normal. Suppose the company wants to set the warranty period so that it does not have to replace more than 2.5% of the refrigerators under guarantee.
Required:
a. State the random variable.
b. What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
c. What is the probability that someone will keep a refrigerator more than 18 years before replacement?
d. What is the probability that someone will replace a refrigerator between 8 and 15 years?
Answer:
a) The random variable is the average life of a refrigerator.
b) 0.1151 = 11.51% probability that someone will keep a refrigerator fewer than 11 years before replacement.
c) 0.0548 = 5.48% probability that someone will keep a refrigerator more than 18 years before replacement
d) 0.6472 = 64.72% probability that someone will replace a refrigerator between 8 and 15 years
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2.5 years
This means that:
The random variable is the average life of a refrigerator.
\(\mu = 14, \sigma = 2.5\)
a. State the random variable.
The random variable is the average life of a refrigerator.
b. What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
This is the pvalue of Z when X = 11. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{11 - 14}{2.5}\)
\(Z = -1.2\)
\(Z = -1.2\) has a pvalue of 0.1151
0.1151 = 11.51% probability that someone will keep a refrigerator fewer than 11 years before replacement.
c. What is the probability that someone will keep a refrigerator more than 18 years before replacement?
This is 1 subtracted by the pvalue of Z when X = 18. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{18 - 14}{2.5}\)
\(Z = 1.6\)
\(Z = 1.6\) has a pvalue of 0.9452
1 - 0.9452 = 0.0548
0.0548 = 5.48% probability that someone will keep a refrigerator more than 18 years before replacement.
d. What is the probability that someone will replace a refrigerator between 8 and 15 years?
This is the pvalue of Z when X = 15 subtracted by the pvalue of Z when X = 8.
X = 15
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{15 - 14}{2.5}\)
\(Z = 0.4\)
\(Z = 0.4\) has a pvalue of 0.6554
X = 8
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{8 - 14}{2.5}\)
\(Z = -2.4\)
\(Z = -2.4\) has a pvalue of 0.0082
0.6554 - 0.0082 = 0.6472
0.6472 = 64.72% probability that someone will replace a refrigerator between 8 and 15 years
Identify the shortest side of ABC
Answer:
AB
Step-by-step explanation:
angle C is 58 because 59+63=122 180-122=58
and drag and arrow to the opposite side of each angle and you have your answer
The common multiples of 3 and 4 are: ____ And ____?
Answer:
1
Step-by-step explanation:
3: 1, 3
4: 1,2,4
So only one can work.
Hope this helps you!! :D
Answer:
1 & 12
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
100°
Step-by-step explanation:
tThe sum of all arc measures that make up that circle is 360 degrees.
QS + RQ + RS = 360
QS = 360 - 120 - 140 = 100
An arc angle is the degree measurement of that angle inside the circle, opposite the arc
m∠R = arc QS = 100°
Answer:
∠ R = 50°
Step-by-step explanation:
the inscribed angle R is half the measure of its intercepted arc QS
the sum of the arcs on a circle is 360° , that is
RQ + QS + SR = 360°
120° + QS + 140° = 360°
QS + 260° = 360° ( subtract 260° from both sides )
QS = 100°
Then
∠ R = \(\frac{1}{2}\) × 100° = 50°
In a triangle with angles measuring a, b and c degrees, the mean of b and c is a. What is the
value of a?
Answer:
60
Step-by-step explanation:
\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)
Therefore, the value of a is 60 degrees
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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