Answer:
T=.25k+.97t
This is because you 25 cents of gas is multiplied by k, which leaves the other section of the equation.
Daily output of Marathon's Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.
What is the probability of producing less than 239,000 barrels? (Round your answer to 4 decimal places.)
The probability of producing less than 239,000 barrels is 0.8413.
The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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very easy and you get 10 points
Answer and Step-by-step explanation:
The answer to this question is 21.
We can easily find the height of the triangle by going to the bottom point of the triangle and counting up each line.
The height is equal to 6.
When we create this line for the height, it sections off two triangle, one with a side of 4 and the other with a side of 3.
To find the area of a triangle, we must Multiply the side lengths together, then Divide by 2.
Triangle 1
4 × 6 = 24
24 ÷ 2 = 12
Triangle 2
3 × 6 = 18
18 ÷ 2 = 9
Now, we add together the areas to get the area of the full triangle.
12 + 9 = 21.
The area of the triangle is 21 \(cm^2\).
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Emma has n containers. She will put 3-fourths cup of berries into each container. Which expression represents the total amount of berries, in cups, that Emma will put into the containers?
Answer options with 5 options
A. 3-fourths plus n
B. 3-fourths minus n
C. N minus 3-fourths
D. N times 3-fourths
E. 3-fourths divided by n
The expression that represents the total amount of berries, in cups, that Emma will put into the containers is N times 3-fourths.
Emma has "n" containers, and she plans to put 3-fourths cup of berries into each container. To calculate the total amount of berries, we need to multiply the number of containers, represented by "n," by the amount of berries per container, which is 3-fourths cup.
Multiplication is denoted by the "times" symbol. Therefore, the expression N times 3-fourths accurately represents the total amount of berries Emma will put into the containers. By multiplying the number of containers by the amount of berries per container, Emma will determine the total quantity of berries she will distribute among the containers.
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Solve for x.
Your answer must be simplified.
-x < -29
Answer:
x=29
Step-by-step explanation:
isolate x, and multiply the 29 by -1
the cost of a pair of sneakers increases about 5.1% ever year. about how mch would a pair of p snearks vost 25 yers from now?
We can calculate the future cost of sneakers by taking the present cost as the initial value and applying a 5.1% increase every year for 25 years.
If the cost of a pair of sneakers increases by approximately 5.1% every year, we can estimate the cost of a pair of sneakers 25 years from now. To calculate this, we can use the compound interest formula.
The compound interest formula can be used to calculate the future value of an investment or in this case, the cost of sneakers after a certain number of years. The formula is given by: A = P(1 + r)^n, where A is the future value, P is the present value, r is the annual interest rate (as a decimal), and n is the number of years.
Using this formula, we can calculate the future cost of sneakers by taking the present cost as the initial value and applying a 5.1% increase every year for 25 years.
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What is the area of the white region? Steps please and thank you!
Answer:the ANS to 4 significant figures is 51.92
Step-by-step explanation:u first find the area of the whole chord which is 150 divided by 360 multiplied by the π × 7^2 subtracted from the area of The triangle by doing 1/2×7×7sin150. I hope it helps
Answer:
102.0
Step-by-step explanation:
First find just the area of the shaded minus the triangle 210/360Xπ7²
89.7966...
Then figure out your triangle 1/2(7)(7sin150) 12.25...
add the two together to get the shaded area 89.7966+12.25
102.0cm²
What is 1/5 divided by 3/4? Then what is it reduced to lowest terms?
Answer:4/15
Step-by-step explanation:
Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.
Answer:
4/15
Step-by-step explanation:
to divide fractions. flip the second fraction. then multiply
3 4
4 3
1 x 4 = 4
5 x 3 15
can't be simplified any further
El denominador de una fracción es 3 unidades menor que su numerador, y la fracción es 2,1 unidades mayor que su recíproco. ¿Cuál es esta fracción si tanto su numerador como su denominador son números enteros?
MY NOTES ASK YOUR TEACHER PRACTIC Find all angles between 0° and 180° satisfying the g list.) 2 cos(8) == ---/- 0 = -106.6°,253.4° x Need Help? Read It 14. [0/1 Points] DETAILS PREVIOUS ANSW MY NOTES ASK YOUR TEACHER PRACTIC Find all angles 8 between 0° and 180° satisfying the g list.) tan(0) = 5 0 1.37+ an Need Help? X Read I
the angles that satisfy the given conditions are approximately 86.6° and 78.7°.
The given problem asks to find all angles between 0° and 180° that satisfy the given conditions. There are two separate conditions to consider:
For the equation 2cos(θ) = -0.106, we need to find the angles θ that satisfy this equation. Solving for θ, we can use the inverse cosine function to find the principal value of θ. In this case, cos⁻¹(-0.106) ≈ 93.4°. However, since we need to find angles between 0° and 180°, we subtract the principal value from 180° to find the corresponding angle in the second quadrant: 180° - 93.4° ≈ 86.6°.
For the equation tan(θ) = 5, we need to find the angles θ that satisfy this equation. Using the inverse tangent function, we find θ = tan⁻¹(5) ≈ 78.7°.
Therefore, the angles that satisfy the given conditions are approximately 86.6° and 78.7°.
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Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
Assuming that both boats are travelling in straight paths, the angle that is between their paths to the nearest degrees is =34°
Calculation of angle of triangleA triangle is a type of polygon that has three pointed edges.
A polygon is defined as a closed object that is made up of line segments in a two dimensional plane.
Other examples of polygon include the following:
hexagons, pentagons, and quadrilaterals.The angle between the paths of the boats can be calculated using the formula Cos θ = a/b
Where b = 18km/h
a = 15km/h
Cos θ = 15/18
cos θ = 0.83
Therefore, θ = Cos¹0.83
θ = 33.9
θ = 34°
In conclusion, the angle that is between their paths to the nearest degrees is =34°
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what is the product of -2x^3 +x -5 and x^3 -3x-4?
a) Show your work
b) is the product of -2x^3 +x -5 and x^3 -3x-4 equal to the product of x^3 -3x-4 and -2x^3 +x -5? Explain your answer.
Answer:
For part 1:
-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20
For part 2:
Based on the foiling of both, they are equal.
Step-by-step explanation:
(-2x^3 +x -5)( x^3 -3x-4)
What we need to do is foil one by one.
I’ve attached a picture of this.
Once you foil, you add like terms.
Now for part 2, x^3 -3x-4 and -2x^3 +x -5, we do the same process.
1) Subtract 40–3.22
a) 33.88
b) 37.72
c) 38.88
d) 17.78
can someone solve pls
Answer:
36.78
Step-by-step explanation:
You do
40.00
-3.22
borrow from 4
3 10
49.90
-3.22
36.78
what is the answer to this question: 3.75x =60
Answer:
x = 16
Step-by-step explanation:
If 3.75x would equal to 60, then x would equal to 60/3.75, which would be 16
Hope this helps!
Help! I need this answer
Answer: hey, i know that E is the only one and 3 times 3 is 6 if you multiply
the height times lengths
ithe first one is 1/8
the second one is 3/20
the third one is 1/8
teh fourth one is 1/12
the last one is 1/6
Step-by-step explanation:
i hope this helps!
What is the distance on the unit circle between successive fourth roots of root3/2 - 1/2i
The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:
The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.
1. Convert the given complex number to trigonometric form:
√3/2 - 1/2i = cos(θ) + i*sin(θ)
By comparing the real and imaginary parts, we can determine the angle θ:
cos(θ) = √3/2
sin(θ) = -1/2
Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.
2. Find the angle between successive fourth roots:
Since we are interested in the fourth roots, we divide the angle θ by 4:
θ/4 = (5π/6) / 4 = 5π/24
This angle represents the angular distance between two successive fourth roots on the unit circle.
3. Calculate the distance between the two points:
To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):
Distance = (5π/24) * 1 = 5π/24
Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
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Factor each expression completely. 64t²-16 .
The expression 64t² - 16 can be factored completely as 8(2t + 2)(2t - 2). The expression of 64t² - 16 can be completely factored as 8(2t + 1)(2t - 1).
To factor the expression, we can first notice that 64t² is a perfect square, which is (8t)². Similarly, no.16 is a perfect square, which is 4².
Using the difference of squares formula, we have (8t)² - 4².
Applying the formula, so that we get value of (8t + 4)(8t - 4).
Further simplifying that, we have get the value is 8(2t + 1)(2t - 1).
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A standard normal distribution is a normal distribution with : a . a mean of zero and a standard deviation of one b . a mean of one and a standard deviation of zero c . a mean zero and a standard deviation of zero d . a mean of one and a standard deviation of one e . none of these
A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.
The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.
Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.
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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.
A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.
The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.
The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.
The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.
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Circle A has center of (2,3) and a radius of five, and circle B has a center of (1,4) and a radius of 10.
What steps will help show that Circle A is similar to Circle B?
A.) Dilate circle A by a scale factor of 2
B.) Translate circle A using the rule. (x + 1, y - 1).
C.) Rotate circie A 180° about the center.
D.) Reflect circle A over the y-axis.
Answer:
A) Dilate circle A by a scale factor of 2Step-by-step explanation:
For two triangles to be similar, they need to have the same radius.
Circle A has a radius of 5, and Circle B has a radius of 10.So, to make them similar, we can simply :
dilate circle A by a scale factor of 2This would give Circle A and B the same radius, and they will be similar.
determine whether the given number is even or odd by using the definitions of even and odd. justify your answer. 50
The given number, 50, is an even number. This can be solved by the concept of Real number.
According to the definition of even numbers, a number is even if it is divisible by 2 with no remainder. In the case of 50, it can be divided evenly by 2 since 50 divided by 2 equals 25, with no remainder. Therefore, 50 is an even number.
To further illustrate, we can use the following formula to determine whether a number is even or odd:
n = 2k
Where n is the given number, and k is an integer. If n can be written in this form, it is even. If not, it is odd.
In the case of 50, we can rewrite it as:
50 = 2 x 25
Since 50 can be expressed as 2 multiplied by an integer (25), it satisfies the formula for even numbers. Therefore, 50 is an even number.
Therefore, the given number 50 is an even number since it is divisible by 2 without leaving any remainder.
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Which of these careers interest you? Check all that apply.
Interviewer
Advertising Sales Agent
Salesperson
Cashier
Sales Manager
Purchasing Manager your great great great grandfather was probably a slave master good lucky trying to take that of your mind
Answer:
could you explain this more im having a hard time with what this is asking?
you may need to use the appropriate appendix table to answer this question. suppose that the mean daily viewing time of television is 8.35 hours. use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household (a) what is the probability that a household views television between 4 and 12 hours a day? (round your answer to four decimal places.) (b) how many hours of television viewing must a household have in order to be in the top 4% of all television viewing households? (round your answer to two decimal places.) hrs (c) what is the probability that a household views television more than 3 hours a day? (round your answer to four decimal places.)
(a) The probability that a household views television between 4 and 12 hours a day is 0.8864. (b) A household must view at least 12.63 hours of television/day to be in the top 4% of all television viewing households. (c) The probability that a household views television more than 3 hours a day is 0.9830.
(a) To find the probability that a household views television between 4 and 12 hours a day, we need to standardize the values using the formula:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
For x = 4 hours:
z = (4 - 8.35) / 2.5 = -1.74
For x = 12 hours:
z = (12 - 8.35) / 2.5 = 1.46
Using a standard normal distribution table or a calculator, we can find the probabilities associated with these z-scores:
P(z < -1.74) = 0.0401
P(z < 1.46) = 0.9265
Therefore, the probability that a household views television between 4 and 12 hours a day is:
P(4 ≤ x ≤ 12) = P(z < 1.46) - P(z < -1.74) = 0.9265 - 0.0401 = 0.8864 (rounded to four decimal places).
(b) To find the number of hours of television viewing a household must have in order to be in the top 4% of all television viewing households, we need to find the z-score that corresponds to the top 4% of the normal distribution:
P(z > z*) = 0.04
Using a standard normal distribution table or a calculator, we can find that the z-score that corresponds to a probability of 0.04 is approximately 1.75.
Using the formula for z-score:
z = (x - μ) / σ
We can solve for x:
x = μ + zσ = 8.35 + 1.752.5 = 12.63 (rounded to two decimal places)
Therefore, a household must view at least 12.63 hours of television per day to be in the top 4% of all television viewing households.
(c) To find the probability that a household views television more than 3 hours a day, we can standardize the value of x = 3 using the formula for z-score:
z = (x - μ) / σ = (3 - 8.35) / 2.5 = -2.14
Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score:
P(z > -2.14) = 0.9830 (rounded to four decimal places).
Therefore, the probability that a household views television more than 3 hours a day is 0.9830.
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If these are correct.
a researcher is conducting an anova test to measure the influence of the time of day on reaction time. participants are given a reaction test at three different periods throughout the day: 7 a.m., noon, and 5 p.m. in this design, there are factor(s) and level(s). a. two; three b. one; three c. two; six d. three; one
The correct option is (a) two factors and three levels. The design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.).
In this research design, the factor is the time of day and it has three levels: 7 a.m., noon, and 5 p.m. The researcher is conducting an ANOVA test to measure the influence of the time of day on reaction time.
The factor is the time of day, and it has three levels: 7 a.m., noon, and 5 p.m. The ANOVA test will help determine if there are any significant differences in reaction times between these three periods throughout the day.
Therefore, the design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.). The ANOVA test will be used to analyze the influence of the time of day on reaction time.
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Which of the following is equivalent to the complex number i^16?
Answer:
A
Step-by-step explanation
i = \(\sqrt{-1}\)
i² = (\(\sqrt{-1}\) )² = - 1
i³ = i² × i = - 1 × i = - i
\(i^{4}\) = i² × i² = - 1 × - 1 = 1 , then
\(i^{16}\)
= \((i^4)^{4}\)
= \((1)^{4}\)
= 1
A square has sides of length 6/12 inches. Area of length times width.
What is the area of the square in square inches?
The area of the square is 1/4inches² in square inches
What is area of squareThe area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.
The square has side of length = 6/12
this can be simplified as 1/2
so
area of the square = (1/2 × 1/2) inches ²
area of the square = 1/4inches²
Thus, the area of the square is calculated using area = s × s, as 1/4inches²
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Please help me I will give you extra points and the crown
What is the special angle pair relationship between <1 and <3
From the given figure , the special angle pair relationship between ∠1 and ∠3 are known as corresponding angles and are congruent.
As given in the question,
From the given figure:
line l is parallel to line m.
t is the transversal of line l and m
Relationship between angles for the parallel lines
∠1 and ∠2 are straight angles and are supplementary
∠3 and ∠2 are interior angles and are supplementary
⇒m(∠1 + ∠2) = m(∠3+∠2)
⇒m∠1= m∠3
Therefore, from the given figure , the special angle pair relationship between ∠1 and ∠3 are known as corresponding angles and are congruent.
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Let (-3,5) be a point on the terminal side of theta. Find the exact values of sin theta, secant theta, and tangent theta
Can someone please help me out with this? If possible, providing a diagram would be helpful!
Answer:
Cosθ = 0.5145
Sinθ = 0.8575
Secθ = 1.9436
tanθ = 1.667
Step-by-step explanation:
From the figure attached,
Point P(-3, 5) is on the terminal side and AB is the initial side of the angle PAB.
If m∠PAB = θ
AB = \(\sqrt{(3)^{2}+(5)^{2}}\)
= \(\sqrt{34}\)
= 5.831
Then Cosθ = \(\frac{AB}{AP}\) = \(\frac{3}{5.831}\)
Cosθ = 0.5145
Sinθ = \(\frac{PB}{AP}\)
Sinθ = \(\frac{5}{5.831}\)
Sinθ = 0.8575
Secθ = \(\frac{1}{\text{Cos}\theta}\)
Secθ = \(\frac{1}{0.5145}\)
Secθ = 1.944
tanθ = \(\frac{PB}{AB}\)
tanθ = \(\frac{5}{3}\)
tanθ = 1.667
Li tia bought 6 movie ticket at 9. 50 dollar per ticket and had 12. 40 dollar left. How much did he have at firt?
Answer:
$69.40
Step-by-step explanation:
$9.50 × 6 = $57
$57 + $12.40 = $69.40
Note: enter your answer and show all the steps that you use to solve this problem in the space provided. jebb is the tallest player on the basketball team. he is 1 1 2 times as tall as the shortest girl in the sixth grade, who is 4 1 4 feet tall. how tall is jebb?
Jebb is 6 feet 4.5 inches tall.
What is height?
The distance between the bottom and top of an object or person is a measurement of its height.
Height, altitude, and elevation all refer to the vertical distance, either between the top and bottom of something or between its base and something above it. Height is a term for something that can be high or low and is measured vertically.
Given: Jebb is the tallest player on the basketball team.
He is 1 1 /2 times as tall as the shortest girl in the sixth grade, who is 4 1 /4 feet tall.
Here
1 1/2 times 4 1/4
change to improper fractions
\(1\frac{1}{2} = \frac{(2)(1)+1}{2}= \frac{3}{2}\)
\(4\frac{1}{4}= \frac{(4)(4)+1}{4} = \frac{17}{4}\)
⇒ 1 1/2 times 4 1/4 is (3/2)*(17/4)
\(\frac{3}{2}(\frac{17}{4})=\frac{51}{8}\)
Convert 51/8 into improper fraction.
\(\frac{51}{8} = 6\frac{3}{8}\) feet tall.
3/8 of 12 inches is,
\(\frac{3}{8}(12) = \frac{36}{8}\)
Convert 36/8 into improper fraction
\(\frac{36}{8} = 4\frac{4}{8}\) inches
Here 4/8 = 0.5
⇒ \(4\frac{4}{8} = 4.5\)
Hence, Jebb is 6 feet 4.5 inches tall.
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∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?
26°
36°
11°
64°
Answer: 26
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then
∠A + ∠B = 90
∠A =90- ∠B
∠A = 26
Answer:
The measure of \(\angle A\):
\(\angle A = 26\textdegree\)
Step-by-step explanation:
Since both \(\angle A\) and \(\angle B\) are complementary (Which they both add up to 90°), and you want to find the measure of
Measure of \(\angle A\): unknown
Measure of \(\angle B\): 64°
Finding the measure of \(\angle A\):
\(90 - 64 = 26\)
\(\angle A = 26\textdegree\)
So, the measure for \(\angle A\) is \(26\textdegree\).