Answer:
first one if I'm not wrong
the question is in the picture
Answer:
Hello!
2pi R
2*3,14 *1 = 6,28
6,28/4 => 1,57
If the amount of change a statistics student carries has a mean of $0.88 and a standard deviation of $0.30, suppose that we randomly pick 36 online statistics students. Find the probability the average of 36 students is between $.80 and $1. The Probability that an individual student has between $.80 and $1 is .9370.
We have the following:
We must calculate the value of z
a.
\(Z=\frac{x-m}{s}\)x, is the value to evalute (0.8 - 1)
m, is the mean (0.88)
s, is the standard deviation (0.3)
n, is the sample size (36)
\(\begin{gathered} \frac{0.8-0.88}{0.3}Now,\(0.6554-0.3974=0.258\)Therefore, the probability is 0.258 or 25.8%
b.
\(Z=\frac{x-m}{\frac{s}{\sqrt[]{n}}}\)x, is the value to evalute (0.8 - 1)
m, is the mean (0.88)
s, is the standard deviation (0.3)
n, is the sample size (36)
replacing:
\(\begin{gathered} \frac{0.8-0.88}{\frac{0.3}{\sqrt[]{36}}}now,\(0.9918-0.0548=0.937\)Therefore, the probability is 0.937 or 93.7%
a gas occupies 7.3 liters at 320k. if the volume is allowed to change to 7.4 liters at constant pressure, what will be the new temperature? provide your answer with one decimal place.
The new temperature of a gas will be 324.38k .
The Ideal Gas Equation defines the four gas variables and one constant for a better understanding. The four gas variables are pressure (P), volume (V), number of moles of gas (n), and temperature (T). Lastly, the constant in the equation shown below is R, known as the gas constant.
PV=RT
at constant pressure
V∝T
\(\frac{V_{1} }{V_{2} } = \frac{T_{1} }{T_{2} }\)
According to the question,
\(V_{1} = 7.3 litres\) , \(V_{2} = 7.4 litres, T_{1} = 320k\)
⇒ \(\frac{7.3}{7.4} = \frac{320}{T_{2} }\) (substitute the values)
⇒ \(T_{2} =\frac{320 * 7.4}{7.3}\)
⇒ \(T_{2} =324.38\)
Hence, the new temperature will be 324.38k.
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A gas station sits at the intersection of a north-south road and an east-west road. A police car is traveling toward the gas station from the east, chasing a stolen truck which is traveling north away from the gas station. The speed of the police car is 100mph at the moment it is 3 miles from the gas station. At the same time, the truck is 4 miles from the gas station going 80mph. At this moment is the straightline distance between them increasing or decreasing? And at what rate?
Answer:
increasing at 4 miles per hour
Step-by-step explanation:
Given a police car is 3 miles east of an intersection traveling at 100 mph toward it, and a truck is 4 miles north of that intersection traveling at 80 mph away from it, you want to know the rate at which the straight-line distance between them is changing.
Distance formulaThe formula for the distance between the vehicles as a function of time is ...
d(t)² = x(t)² +y(t)²
At t=0, we have x = 3 and y = 4, so ...
d² = 3² +4² = 9 +16 = 25
d = √25 = 5
Rate of changeDifferentiating gives ...
2d·d' = 2x·x' +2y·y'
d' = (x·x' +y·y')/d
At t=0, x is decreasing at 100 mph, while y is increasing at 80 mph. That means the value of this equation is ...
d' = (3·(-100) +4·(80))/5 = (-300 +320)/5 = 4
The distance between the vehicles is increasing at 4 miles per hour.
__
Additional comment
After 0.03 hours = 1.8 minutes, the police car reaches the intersection. After it turns north, the distance between the vehicles will be 6.4 miles, decreasing at 20 mph. The police car will catch the truck after 0.35 hours, or 21 minutes, from the time we began this scenario. At that point, the truck will be 32 miles north of the intersection.
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6 + 2 ÷ 4 × 3 - 7 + 6 + 5 ÷ 3 - 1 × 1
Answer:
7.16666666667
Step-by-step explanation:
Complete each equation so that it is true for all values of X
3x+6=3(x+?)
Answer:
? = 2
Step-by-step explanation:
3x + 6 = 3(x + 2)
3x + 6 = 3x + 2
So, the answer is 2.
Find the first three terms of the sequence below.
T, = 2n– 3n - 6
Answer:
-n+t equal to 6 is the answer to that question
help me please! Eddie and Lisa go on a road trip. When they start driving, the time is 2:02 pm. When the drive ends, the time is 4:15 pm.
How long is the drive?
Enter your answer by filling in the boxes
I don’t get what I’m supposed to do
Answer:
The number of $5 bills is 6
The number of $1 bills is 8
Step-by-step explanation:
Given the number of $1 bills is x, and of $5 bills is y
Then x + y = 14 or x = 14 - y
And 1(x) + 5(y) = 38
then 1(14 - y) + 5y = 38
14 - y + 5y = 38
4y = 38 - 14
4y =24
y = 6
if the number of $5 bills is 6
then the number of $1 bills is 14 - 6 = 8
My car is old and______
paint is peeling
Answer:
correct
Step-by-step explanation:
you got it right
Answer:
Its
Step-by-step explanation:
not it's because it's is the same thing as it is
15
The fraction 15 is the same as 15 divided by ___
Answer:
If its just 15 then its 1
Step-by-step explanation:
Because 15 divided by 1 is 15 which is the fraction.
Answer:
Below,...!
Step-by-step explanation:
15 is not a fraction as is you can put any number over a one and that whole number immediately becomes a fraction:
\(\frac{7}{1} or \frac{43}{1} or \frac{987}{1} or \frac{1}{1} or \frac{15}{1}\)
15/1 is your fraction so 15/1 divided into 15 equals 1
\(\frac{15}{1} / 15 = 1/1 = 1\)
Answer: 1
Chow,...!
The area of a rectangle with a length of 12m and a width if 4m is ________square meters.
Answer:
48 square meters
Step-by-step explanation:
cause if u 4m x 12m =48
Answer:
48 square meters
Step-by-step explanation:
The equation used to solve this is a= wl (area equals length times width)
Therefore, all you have to do is multiply 12 and 4 to get the area of the rectangle.
12 times 4= 48
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Helpppp Number 9 pleaseeeee
solve for x in 3( x+ 2)=2(x+2)
Answer:
-2
Step-by-step explanation:
3( x+ 2)=2(x+2)
=>3x+6=2x+4
=>3x-2x=4-6
=>x=-2
-2 is the value of x
Answer:
The answer is
x = - 2Step-by-step explanation:
3( x+ 2)=2(x+2)
First expand the terms in the bracket
That's
3x + 6 = 2x + 4
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
3x - 2x = 4 - 6
Simplify
We have the final answer as
x = - 2Hope this helps you
What is the last digit of
\(1 \times 3 \times 5 \times 7 \times 9 \times 11 \times 13\)
A. 5
B. 3
C. 7
D.6
E. 9
Find the volume of the oblique pyramid below.
Thus, the volume of the given oblique pyramid is found as 230 cu. ft.
Explain about the pyramid?A pyramid is a 3D polyhedron having three maybe more triangle-shaped surfaces that meet above the base and a polygonal base.
The point above base is referred to as the apex, while the three sides are referred to as faces. In a pyramid, the apex, which creates the triangle face, is connected to each base edge. A pyramid is referred to as triangular if its base is shaped like a triangle. Four vertices, six edges, and three faces make up a triangular pyramid. Tetrahedron is another name for this type of pyramid.Volume of a Pyramid = 1/3 × Base Area × Height
Base Area = 1/2 * base * height
Base Area = 1/2 *12*5
Base Area = 30 sq. ft
Volume of a Pyramid = 1/3 × 30 × 23
Volume of a Pyramid = 230 cu. ft.
Thus, the volume of the given oblique pyramid is found as 230 cu. ft.
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Which of the following is NOT true of the sample variance when the samples are independent and normally distributed?
it decreases as the number of sample values increases it is an unbiased point estimate of the population variance
it has a normal sampling distribution it remains constant as the number of sample values increases
it has a skewed sampling distribution
Option C, which states that the sample variance is constant as the number of sample values rises when the samples are independent and regularly distributed
Each sampling distribution's variability declines as the sample size go up, becoming more and more leptokurtic. The sample distribution's range is less than the original population's range.
The margin of error & sample size has an inverse relationship, meaning that as sample size rises, sampling error falls. It is because the findings would be more accurate the more evidence you had.
The distribution's dispersion is gauged by the standard error. The dispersion decreases as the sample size increases and the distribution's mean moves closer to the population mean.
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What does (6×9)+6+9 equal?
Answer:
69
Step-by-step explanation:
Multiply 6 by 9
54
Plug this value back into the equation
54 + 6 + 9
Add 54 to 6
60
Now add 9 to 60
69
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find area of the figure
Answer:
70 sq. in
Step-by-step explanation:
Area of the figure
= ( 10 x 5 ) + ( 5 x 4 )
= 50 + 20
= 70
= 70 sq. in
Ezekiel wants to purchase a new iPad for $450. He has $500
saved from his last year's allowance. The sales tax for the iPad is 7.5%. How much does the iPad cost after taxes? Make sure to use the dollar sign $.
Answer: $483.75
Step-by-step explanation:
The ultimate cost of the iPad is the price + sales tax.
This means that the cost equals $450+7.5% sales tax which means that
7.5% of $450 + $450 is the total.
Total cost: $33.75+$450 =
$483.75
Answer: he will pay $483.75
Step-by-step explanation:
Tony has 7 candy bars. he wants to split the candy bars into servings that are 1/3 of a bar. how many servings can he make?
uwuwuwuwuwuwuwuwuwuwuwuwuwuwu
7:1/3=7*3=21
Marjane wants to create a set of data with 6 values. She wants the mode to be as good as the median to represent the data set. Which set of data best represents what Marjane could create?
24, 24, 25, 29, 29, 29
24, 25, 26, 27, 30, 30
24, 25, 25, 25, 26, 26
24, 24, 25, 26, 26, 27
As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).
In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.
The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.
The third set of data is 24, 25, 25, 25, 26, 26.
The median is the middle value, which is also (25+25)/2 = 25.
The mode is the value that appears most frequently, which is 25.
Therefore, the mode and median are the same, fulfilling Marjane's requirement.
Therefore, the correct option is (c).
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After receiving her retirement pay of P10,000,000, Hazel is approached by
two banks offering slightly different deposit products. Bank A is offering an
interest rate of 5% with the interest computed on a simple basis. On the
other hand, Bank B offers a lower rate of 4.5%, compounded annually. If
Hazel intends to keep the deposit for the next 10 years, which bank offers
the better product?
Answer
bank b and yea
Step-by-step explanation:
Hazel should choose bank B.
What is interest?Interest, in its most simple form, is calculated as a percent of the principal.
Given is two banks are offering one at 5% SI and other at 4.5% CI, Hazel has 10,000,000
For 5% SI, we have,
SI = P*R*T/100
SI = 10,000,000*5*10/100 = 50,00000
Amount = 10,000,000+5000000 = 15,000,000
For 4.5% CI, we have,
A = P(1+r/100)^t
= 10,000,000(1+0.045)^10
= 10,000,000(1.045)^10
= 15,529,694
As we can see, Bank B at 4.5% CI is giving more than Bank A.
Hence, Hazel should choose bank B.
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at a local college there are 8 women enrolled for every 3 men. If there are 60 men enrolled how many women are enrolled?
Answer:
160
Step-by-step explanation:
what is the difference between square units and cubic units
The difference between square units and cubic units lies in the dimensionality of the objects being measured.
Square units are used to measure the area of a two-dimensional shape, such as a square or rectangle. The unit for square units is typically written as "square" followed by the abbreviation for the unit being used. For example, square inches (in²), square meters (m²), or square centimeters (cm²).
To find the area of a shape, you multiply the length of one side by the length of another side. For example, if you have a square with side length of 4 units, the area would be 4 units multiplied by 4 units, which equals 16 square units.
On the other hand, cubic units are used to measure the volume of a three-dimensional object, such as a cube or rectangular prism. The unit for cubic units is typically written as the abbreviation for the unit being used cubed. For example, cubic inches (in³), cubic meters (m³), or cubic centimeters (cm³).
To find the volume of a shape, you multiply the length, width, and height of the object. For instance, if you have a cube with a side length of 3 units, the volume would be 3 units multiplied by 3 units multiplied by 3 units, which equals 27 cubic units.
In summary, square units measure the area of a two-dimensional shape, while cubic units measure the volume of a three-dimensional object. It's important to pay attention to the dimensionality of the object being measured in order to use the appropriate units.
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Explain the difference between 9 square units and 9 cubic units?
Find the probability for spinning a multiple of 3. Simplify your answerFind the probability for spinning a multiple of 3. Simplify your answer
Answer:
2/8 (Simplified to 1/4)
Step-by-step explanation:
There are 8 pieces to this, 2 of these 8 pieces are 6, and 3 which are both multiples of 3. So this gives you 2/8 but as you said you need it simplified so if you divide the top and bottom by 2 that gets you the answer of 1/4.
-2,8,-32,128,-512,2048
Answer:
-8192
Step-by-step explanation:
It is simple. The pattern goes by x4, but every second number is a negative.
show that the following number is rational by writing it as a ratio of two integers. 52.470817081708
Answer: To show that the number 52.470817081708 is rational, we need to express it as a ratio of two integers.
Let x = 52.470817081708. We can write x as a sum of its integer part and fractional part:
x = 52 + 0.470817081708
To convert the fractional part to a fraction, we can multiply both numerator and denominator by a power of 10 that will eliminate the decimal point. In this case, we can multiply by 10^12:
0.470817081708 = 470817081708 / 10^12
Therefore, we can write:
x = 52 + 470817081708 / 10^12
We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor:
x = 52 + 163717 / 3125000
So we have expressed x as a ratio of two integers, 163717 and 3125000. Therefore, 52.470817081708 is a rational number.
The number 52.470817081708 is rational because it can be expressed as a ratio of two integers: 52470817081708
To show that 52.470817081708 is rational, we need to write it as a ratio of two integers.
First, we can see that the number has a repeating pattern of digits after the decimal point, which tells us that it can be expressed as a fraction. To do this, we'll count the number of decimal places in the repeating pattern, which is 12 in this case.
Next, we'll use the following formula to convert the repeating decimal to a fraction:
x = a + b/(10^n - 1)
Where:
- x is the repeating decimal
- a is the non-repeating part of the decimal (in this case, it's just the whole number 52)
- b is the repeating part of the decimal (in this case, it's the digits 470817081708)
- n is the number of digits in the repeating pattern (in this case, it's 12)
So plugging in our values, we get:
52.470817081708 = 52 + 470817081708/(10^12 - 1)
Simplifying the denominator, we get:
52.470817081708 = 52 + 470817081708/999999999999
To write this as a ratio of two integers, we'll simplify the fraction:
52.470817081708 = 52 + 235408540854/499999999999
So the number 52.470817081708 can be written as the fraction 52 + 235408540854/499999999999, which is a ratio of two integers. Therefore, we have shown that 52.470817081708 is rational.
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here is a scatterplot with its least squares regression line. lsr line with grid marks if there is scatter in the data about the line, there is prediction error. which value of x has the largest absolute prediction error?
Without seeing the scatterplot or the data, it is difficult to determine the exact value of x that has the largest absolute prediction error.
However, in general, the x-value with the largest absolute prediction error is typically the x-value that is farthest away from the regression line.
To calculate the prediction error for a given x-value, you can first calculate the predicted y-value for that x-value using the equation of the regression line. Then, you can subtract the actual y-value for that x-value from the predicted y-value to get the prediction error.
The absolute value of the prediction error represents the magnitude of the difference between the actual and predicted values, regardless of whether the prediction was too high or too low. Therefore, to find the x-value with the largest absolute prediction error, you can calculate the absolute prediction error for each x-value and then identify the x-value with the largest value.
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find for a cone with lateral surface area of . what is the best method to use to find ?
The value of dr/dh for a Cone with lateral surface area of A = 1625π is -h/[(325/2) - h^2]^(1/2). The Best method used here, i.e., expressing r in terms of h and then taking the derivative of r with respect to h using the chain rule,
We are given that the lateral surface area of a cone is: A = πrℓ where r is the radius of the base and ℓ is the slant height of the cone.
To find dr/dh, we need to use the chain rule. First, we can express r in terms of h and use the given information to solve for ℓ. Then, we can take the derivative of r with respect to h.
We know that the lateral surface area of the cone is given by:
A = πrℓ
We also know that the slant height of the cone is given by the Pythagorean theorem:
ℓ^2 = r^2 + h^2
Solving for r, we get:
r^2 = ℓ^2 - h^2
Substituting this expression for r^2 into the equation for A, we get:
A = πrℓ = π(ℓ^2 - h^2)^(1/2)ℓ
Simplifying this expression, we get:
A = πℓ^2(1 - (h/ℓ)^2)^(1/2)
We are given that A = 1625π, so we can solve for ℓ:
1625π = πℓ^2(1 - (h/ℓ)^2)^(1/2)
1625 = ℓ^2(1 - (h/ℓ)^2)^(1/2)
Squaring both sides and simplifying, we get:
1625^2 = ℓ^2(ℓ^2 - h^2)
Solving for ℓ, we get:
ℓ = (325/2)^(1/2)
Now, we can take the derivative of r with respect to h:
d/dh (r^2) = d/dh (ℓ^2 - h^2)
2r(dr/dh) = -2h
dr/dh = -h/r
Substituting r = (ℓ^2 - h^2)^(1/2) and ℓ = (325/2)^(1/2), we get:
dr/dh = -h/[(325/2) - h^2]^(1/2)
Therefore, dr/dh for a cone with lateral surface area of A = 1625π is -h/[(325/2) - h^2]^(1/2).
The method used here, i.e., expressing r in terms of h and then taking the derivative of r with respect to h using the chain rule, is the most straightforward and efficient method to find dr/dh for a cone with a given lateral surface area.
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____The given question is incomplete, the complete question is given below:
Find dr/dh for a cone with lateral surface area of A = 1625π. What is the best method to use to find dr/dh?