help with this questions please!
Answer:
Area = 1/4 * pi * diameter^2
The area is 78.5^2
The United States exports over 200 billion pounds of coal. How many tons does the United States export?
Answer:
Step-by-step explanation:
1 Ton is equivalent to 2204.62 pounds
and 200 billion = 200.000.000.000 pounds
So, if we want to know how many tons there are in 200 billion pounds, We must apply a simple rule of three.
Then
1 Ton -------------------------2204.62 pounds
X -------------------------200.000.000.000 pounds
\(X=\frac{1 ton * 200.000.000.000 pounds}{2204.62 pounds} =90.718.581,89 tons\)
So, We can say that United States exports over 90 million tons of coal
Find The Area of the parallelogram...Explain.
Answer:
70Step-by-step explanation:
Recall that, in order to find the area of a parallelogram is to multiply height by base, and the height is 14, and the base is 5, so 14 x 5 = 70.
Write your answer in scientific notation.
(6.4 x 10^3 ) + (5.2 x 10^4 )
Answer:
5.84 x10.^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Mary has read 76% of her book and it’s on page 114. how many pages are in the book?
Answer:
150 pages
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76x
Divide 0.76 by 114
x = 150
There are 150 pages in the book
Hope this helps :)
Answer:
Step-by-step explanation:
Answer:
150 pages. Mark me brainiiest.✌✌
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76.
Divide 0.76 by 114 x = 150.
There are 150 pages in the book.
Carmen purchased a prepaid phone card for $30. Long distance calls cost 19 cents a minute using this card. Carmen used her card only once to make a long
distance call. If the remaining credit on her card is $26.39, how many minutes did her call last?
Answer:
19
Step-by-step explanation:
30-26.39=3.61
3.61 divided by 0.19 = 19
hope this helps :)
What is the distance from (4, -4) to (-7, -8)
the distance from (4,-4) to (-7,-8) is 11.70
Answer: 5
Step-by-step explanation:
use distance formula for these types of equations x1-x2 squared plus y1 -y2 squared. add both sides together square them and then get a total and then square your total for the answer. In this case 5
Mrs. Morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound. How did she pay for the bananas and pineapple
can someone explain please
It is saying that irrational numbers like pie can be broken down into approximate irrational numbers and plotted onto points.
Example \(\sqrt{1.6}\) approximate value is 1.264911
That number can be plotted in place of \(\sqrt{1.6}\)
Define theoretical probability and experimental probability. Compare the two types of probabilities
Experimental probability refers to what actually occurs when the circumstance is tried out as an experiment, as opposed to theoretical probability, which is the phrase used to describe what we expect to happen based on math theory.
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
Hence, Experimental probability refers to what actually occurs when the circumstance is tried out as an experiment, as opposed to theoretical probability.
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Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Find measure of angles B, E, D and C and the length of BC.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
The data below represents the relationship between the total fat and the total calories in fast food. Draw a scatter plot for the data.
Total Fat (grams)
9
13
21
30
31
28
Total Calories
260
320
420
530
560
560
a.
A graph has total fat (in grams) on the x-axis, and calories on the y-axis. Points are at (9, 300), (12, 500), (20, 460), (26, 600), (28, 600), (30, 620).
c.
A graph has total fat (in grams) on the x-axis, and calories on the y-axis. Points are at (0, 300), (12, 320), (20, 450), (26, 600), (28, 580), (31, 600).
b.
A graph has total fat (in grams) on the x-axis, and calories on the y-axis. Points are at (0, 500), (9, 300), (12, 320), (20, 460), (30, 520), (31, 620)
d.
A graph has total fat (in grams) on the x-axis, and calories on the y-axis. Points are at (9, 260), (13, 320), (21, 420), (30, 530), (31, 560), (28, 560).
Please select the best answer from the choices provided
A
B
C
D
Answer:
D is the answer
Step-by-step explanation:
it correlates with the points u gave
Answer:
D)
Step-by-step explanation:
19. Explain the difference
between (-12)2 and - 122.
Help!
You multiply two integers. You increase one of them by 1 and decrease the other
by 1. The product increases by 6. What integers could you have multiplied?
Integers are numbers without decimals
The integers could you have multiplied are 9 and 2
Let the numbers be x and y
So, we have:
\(\mathbf{x \times y}\)
Increase x by 1 and reduce y by 1.
So, we have
\(\mathbf{(x +1) \times (y -1) = 6 + xy }\)
Open brackets
\(\mathbf{xy -x + y - 1 = 6 + xy}\)
Subtract xy from both sides
\(\mathbf{ -x + y - 1 = 6}\)
Collect like terms
\(\mathbf{ -x + y = 6 + 1}\)
\(\mathbf{ -x + y = 7}\)
Rewrite as:
\(\mathbf{ y -x= 7}\)
The above means that, the difference between the integers is 7.
There are several integers that fit the above description;
One possibility is: 9 and 2
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what is the probability of selecting a striped marble, not replacing it, then selectinga balck marble?
The probability of selecting a striped marble, not replacing it, then selecting a black marble is 4/15.
The probability of selecting a striped marble on the first draw is 6/10, since there are 6 striped marbles out of a total of 10 marbles in the bag.
After the first marble is drawn, it is not replaced, so there are now 9 marbles left in the bag. Out of these, there are 4 solid marbles and 5 striped marbles. Therefore, the probability of selecting a black marble on the second draw is 4/9.
To find the probability of both of these events occurring together, we multiply the probabilities
P(striped, then black) = P(striped) × P(black | striped not replaced)
P(striped, then black) = (6/10) × (4/9)
P(striped, then black) = 24/90
P(striped, then black) = 4/15
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The given question is incomplete, the complete question is:
There are 10 marbles in a bag (4 solid, 6 striped) .what is the probability of selecting a striped marble, not replacing it, then selecting a black marble?
If Cos A = 9/41 and tan B = 28/45 angle A and B are in quadrant I find the value of Tan(A+B)
Find the slope m of the tangent to the curve y = 6 + 5x2 − 2x3 at the point where x = a.
The slope of the tangent to the curve \(y = 6 + 5x^2 - 2x^3\) at the point where x = a is given by the derivative of the equation, which is obtained by differentiating the equation with respect to x.
To find the slope of the tangent to the curve \(y = 6 + 5x^2 - 2x^3\) at the point where x = a, we need to take the derivative of the equation with respect to x. Differentiating each term of the equation, we get:
dy/dx = \(d(6)/dx + d(5x^2)/dx - d(2x^3)/dx\)
The derivative of a constant (6) is zero, and for the other terms, we apply the power rule of differentiation. The power rule states that the derivative of \(x^n\) with respect to x is \(nx^{(n-1)\). Applying the power rule, we obtain:
dy/dx = \(0 + 2(5x) - 3(2x^2)\)
Simplifying this expression, we get:
dy/dx = \(10x - 6x^2\)
Now, to find the slope of the tangent at the point where x = a, we substitute a for x in the derivative:
m = \(10a - 6a^2\)
Therefore, the slope of the tangent to the curve \(y = 6 + 5x^2 - 2x^3\) at the point where x = a is given by the expression \(10a - 6a^2\).
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Ill give 20 points! Please help!!
The complete table of the function is as follows:
x = -4 ; f(-4) = - 31x = -2; f(-2) = -7x = 0; f(0) = 1x = 1; f(1) = -1x = 3; f(3) = - 17How to solve function?A function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable
In simpler terms functions relates input and output.
Therefore, let's complete the function in the table.
Hence,
f(x) = - 2x² + 1
when x = -4
f(-4) = - 31
when x = -2
f(-2) = - 2(-2)² + 1 = -8 + 1 = - 7
when x = 0
f(0) = - 2(0)² + 1 = 1
when x = 1
f(1) = - 2(1)² + 1 = - 2 + 1 = - 1
when x = 3
f(3) = - 2(3)² + 1 = -2(9) + 1 = - 18 + 1 = - 17
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A residual is the difference between _______.
A residual is the difference between "the measured and predicted values of the quantity of interest".
What is residuals?In regression analysis, a residual would be the difference between an observable and anticipated value.
The formula is;
Residual = Observed value – Predicted value
Some key features regarding the residuals are-
The purpose of linear regression would be to quantify the relationship among one or so more predictor variables one and or more response variables. Linear regression selects the line that best "fits" the data, defined as least squares regression line, to do this. This line generates a prediction for every observation in the dataset, however it is improbable that the regression line's prediction would perfectly match its observed value.The residual is the discrepancy between the predicted and the observed value. The residuals for every observation would represent the vertical distance between both the observation as well as the regression line if we plotted the observed values then overlaid the fitted regression line.To know more about the residual, here
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which of the following statements is not true
Answer:
2nd option is the answer
Step-by-step explanation:
Consider the relation {(a, b) | a and b have the same age} on the set of all people.
a. Identify the properties of the relation R.
b. Identify the properties that the given relation satisfies.
The relation R is an equivalence relation, satisfying the properties of reflexivity, symmetry, and transitivity.
a. The relation R, which is defined as {(a, b) | a and b have the same age}, can be identified as an equivalence relation.
b. The relation R satisfies the properties of reflexivity, symmetry, and transitivity.
Reflexivity: For any person a, (a, a) belongs to R because a has the same age as itself.
Symmetry: If (a, b) belongs to R, then (b, a) also belongs to R because if a and b have the same age, then b and a also have the same age.
Transitivity: If (a, b) and (b, c) belong to R, then (a, c) also belongs to R because if a has the same age as b, and b has the same age as c, then a and c have the same age.
Therefore, the relation R is an equivalence relation that satisfies the properties of reflexivity, symmetry, and transitivity.
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Use graphing technology to find the range of the function f(x)=|x-3|
Answer:
[0,infinity)
Step-by-step explanation:
Since it's a modulus function, f(x) will have a range of [0,infinity). Use desmos for graphing it
What is the value of s after the following statement:
String s = (!true) + " : " + (10 + 4) + " is 104";
a. "!true : 104 is 104"
b. "false : 104 is 104"
c. "!true : 14 is 104"
d. "false : 14 is 104"
e. This is a compile-time error
Based on this evaluation, the correct answer is:
d. "false : 14 is 104"
The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:
1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.
2. Concatenate " : " to "false": The resulting string also becomes "false : ".
3. Calculate (10 + 4): This arithmetic expression is equals to 14.
4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".
5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".
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suppose you paid $4 for a bet on a horse and, as a result, you will win $110 if your horse wins a given race. find the expected value of the bet (in $) if the odds that the horse will win are 3 to 12.
The expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
What is expected value?
Expected value is the predictive value of all the possibilities that occur by multiplying the value by the probability.
Winning probability = odds / total outcomes
= 3 / (3 + 12)
= 3 / 15
= 0.2
Now, we need to calculate expected value.
= winning probability x amount won - losing probability x amount lost
= 0.2 x 110 - (1 - 0.2) x 4
= 22 - 3.2
= 18.8
Thus, the expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
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Define the domain of the following:
{-2, -1, 0, 2, 5}
{-2, -1, 0, 1, 2, 3, 4, 5}
All Real Numbers
{3, -1, 3, 1, 2}
The domain of the relation in the graph is:
{-2, -1, 0, 2, 5}
How to define the domain for the graph?A relation maps elements from one set (the domain) into elements from another set (the range).
Such that the domain is represented in the horizontal axis.
In the graph, we can see the points:
{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}
The domain is the set of the first values of these points, then the domain is:
{-2, -1, 0, 2, 5}
The correct option is the first one.
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could you help me with 11% and 9% thank you Assuming that the current interest rate is 10 percent, compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000. What happens when the interest rate goes to 11 percent? What happens when the interest rate goes to 9 percent?
As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.
To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.
Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.
Using the formula: PV = C / (1+r)^n
Where PV is the present value,
C is the cash flow,
r is the interest rate, and
n is the number of periods.
At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91
Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.
At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92
Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47
When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31
When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19
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Sky attempted to score a goal five times. For each attempt, she was equally likely to make a goal or miss. What is the probability that Sky scored at least two goals? Express your answer as a common fraction.
To solve this problem, we can use the binomial probability distribution. Let's define a "success" as scoring a goal and a "failure" as missing a goal.
Then, each attempt by Sky can be considered a Bernoulli trial with probability of success p = 1/2.
Let X be the number of goals that Sky scores in five attempts. Then, X follows a binomial distribution with parameters n = 5 and p = 1/2.
To find the probability that Sky scores at least two goals, we need to calculate the probability of the following events:
P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
We can use the binomial probability formula to calculate these probabilities:
P(X = k) = (n choose k) * \(p^k\) *\((1-p)^(n-k)\)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n distinct items.
Using this formula, we get:
P(X = 2) = (5 choose 2) * \((1/2)^2\) * \((1/2)^3\) = 10/32
P(X = 3) = (5 choose 3) * \((1/2)^3\) * \((1/2)^2\) = 10/32
P(X = 4) = (5 choose 4) * \((1/2)^4\) *\((1/2)^1\) = 5/32
P(X = 5) = (5 choose 5) * \((1/2)^5\) * \((1/2)^0\) = 1/32
Therefore, the probability that Sky scores at least two goals is:
P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = (10 + 10 + 5 + 1)/32 = 26/32 = 13/16
So the probability that Sky scored at least two goals is 13/16.
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The total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.
Sky attempted to score a goal five times. For each attempt, she was equally likely to make a goal or miss. So the probability that Sky scored at least two goals is 13/16.
To find the probability that Sky scored at least two goals, we can use complementary probability, which means finding the probability that she scored fewer than two goals (either 0 or 1 goal) and subtracting that from 1.1.
Probability of scoring 0 goals: Since there are 5 attempts and she is equally likely to make a goal or miss (1/2 chance for each), the probability of missing all 5 is (1/2)^5 = 1/32.2.
Probability of scoring 1 goal: Sky could score in any of the 5 attempts, so we need to consider all possible ways of scoring one goal.
There are 5 ways (score in the 1st, 2nd, 3rd, 4th, or 5th attempt). The probability for each of these scenarios is (1/2)^5 = 1/32.
Therefore, the total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.
To express this as a common fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:26/32 = (26/2) / (32/2) = 13/16So the probability that Sky scored at least two goals is 13/16.
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Emma buys 3.92 pounds of chicken to make chicken soup. Each chicken soup requires 0.9 pound of chicken. How many chicken soup can Emma make.
Answer:
4
Step-by-step explanation:3.92/4 = 4.35
However, since this problem is discrete, you can only make 4 chicken soups within the limit.
Once two triangles are proven to be congruent, every single corresponding side and angle between those two triangles are congruentby what?
Answer:
If two triangles are proven to be congruent, then every single corresponding side and angle between those two triangles are congruent by CPCTC Theorem. CPCTC stands for Corresponding parts of congruent triangles are congruent.
Explanation:
CPCTC Theorem states that if two triangles are congruent, then their