Answer: True.
Step-by-step explanation:
Hi, the statement "In the normal distribution, values in the distribution being measured are close to the mean (high or low values are infrequently found)." is true.
The normal distribution is a probability function that how the values of a measure are distributed. Most of the values cluster around the mean, it’s a symmetric distribution.
Normal or Gaussian distributions Means that many variables have similar characteristics. So, middle values have higher probability or are more likely to occur, and extremely low or high values are more infrequent.
Which ordered pairs are solutions to the inequality y − 4x ≤ −6?
Select each correct answer.
A.(1, 3)
B. (−2, −14)
C. (−1, −9)
D. (3, 5)
E. (0, −5)
Answer
b and d
Step-by-step explanation:
1. Which fractions are equivalent to 25/45. Please give two examples.
2. Which describes independent events?
Spinning two fours on a spinner divided into four numbered sections.
Selecting two kings from a standard deck of cards by choosing a card at random, placing it in your pocket, then choosing the second card.
Selecting two green marbles by choosing one from a bag at random, giving the first to a friend, then choosing another.
Selecting the names of two siblings by choosing slips of paper from a hat at random, pinning the selected slip on a bulletin board, and then selecting another.
List 12 spherical objects that would be around the home. Please do not list all balls, soccer ball, basket ball, etc.
Write five and three eights as an improper fraction and as a mixed number
What is bigger 5/6 or 13/18?
If the function has jump discontinuity , infinite discontinuity , continuous , or the function has point discontinuity
X^3 + 7x^2 + 10x / x + 5
The function x^3 + 7x^2 + 10x / (x + 5) is discontinuous at x = -5, where it has a jump discontinuity. The function is otherwise continuous and does not approach infinity, indicating no infinite discontinuity.
Explanation:The given function is x^3 + 7x^2 + 10x / (x + 5). To determine the continuity of the function, it's crucial to identify any values of x that would make the denominator zero since the function is undefined at these points.
In this case, if x is -5, the denominator will be zero, making the function undefined. Therefore, the function has a point of discontinuity or a jump discontinuity at x = -5.
The function does not have an infinite discontinuity because it never approaches infinity as x approaches any particular value. This function is continuous at every point except for x = -5. Therefore, "the function x^3 + 7x^2 + 10x / (x + 5) has one point of discontinuity at x = -5."
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How do I convert 4/5 to a percent
24. a) The average height od sunflowers in a field is 64 in. with a standard deviation of 3.5 in. On a piece of paper, draw a normal curve for the distribution, including the values of the horizontal axis at one, two, and three standard deviations from the mean. Describe your drawing in as much detail as possible, and explain how you came up with each of your labels. b) If there are 3,000 plants in the field, approximately how many will be taller than 71 in.? Explain how you got your answer.
The graph is attached and 68 sunflowers will be taller than 71 inches in the field.
Given that:
- Mean (average height) = 64 inches
- Standard deviation = 3.5 inches
Standardizing the height 71 inches using the z-score formula, we have
[tex]\[ z = \frac{{x - \mu}}{{\sigma}} \][/tex]
Substitute the known values into the equation
[tex]\[ z = \frac{{71 - 64}}{{3.5}} \][/tex]
[tex]\[ z = \frac{{7}}{{3.5}} \][/tex]
[tex]\[ z = 2 \][/tex]
Using the standard distribution table, we have
P(z > 2) = 0.02275
To find the number of sunflowers taller than 71 inches:
[tex]\[ 3000 \times 0.02275[/tex]
Evaluate
68
Hence, 68 sunflowers will be taller than 71 inches in the field.
What decimal is represented by this expanded form? 5 x 10,000 3 x 1,000 2 x 10 8 x 1 6 1/1,000 4 x 1/,000?
You have already invested $400 in a stock with an annual return of 11%. How much of an additional $1,200 should be invested at 12% and how much at 6% so that the total return on the entire $1,600 is 9%? (Round each answer to the nearest cent.)
The total return you want is 0.09 * 1600 = $144
Let a be the amount invested at 12% and b be the amount invested at 6%
0.12a + 0.06b = 144 - 44
12a + 6b = 10000
a + b = 1200
Put those 2 equations together and solve for a and b:
12a + 6b = 10000
a + b = 1200
Using elimination, a = $466.67 and b = $733.33
So, out of an additional $1200, invest $466.67 at a rate of 12% and $733.33 at a rate of 6%
To determine how much to invest at 12% and 6% to achieve a total return of 9% on $1,600, set up and solve the equation based on the given information.
Explanation:To calculate how much of the additional $1,200 should be invested at 12% and how much at 6%:
Let x be the amount invested at 12% and 1200-x be the amount invested at 6%.Set up the equation: 0.12x + 0.06(1200-x) = 0.09(1600-400).Solve the equation to find x, which represents the amount to invest at 12%.Please someone can help me with #13, 15 and 16 Thanks.
A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate?
Answer:
Step-by-step explanation:
First you have to know that you if you divide 24 by 6 you would have to take 7 multiplied by 4 to get 28
Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function. Explain your response.
Cody is selling chocolate and white chocolate candy bars for a school fundraiser. 30% of the candy bars sold have been white chocolate. If Cody has sold 24 white chocolate candy bars, how many total candy bars has he sold?
Answer: The answer is 80
Step-by-step explanation: because first of all divide 24 by 30% which equals 80 and second I took the USATP Test and got it right
The surfaces intersect in a space curve C. Determine the projection of C onto the xy-plane.
The paraboloids x^2+y^2+ z=4 and x^2 +3y^2=z
The projection of the space curve C, resulting from the intersection of the two given paraboloids, onto the xy-plane is the line y=0.
Explanation:The surfaces provided are of the paraboloids x^2 + y^2 + z = 4 and x^2 + 3y^2 = z. We can find the space curve, which is the curve of intersection of these two surfaces, by setting the two equations equal to each other. We would get x^2 + y^2 + z = x^2 + 3y^2 which simplifies to 2y^2 - z = 0. The projection of this space curve C onto the xy-plane would just be the shadow this curve casts on the xy-plane. Thus, we eliminate the z variable and the result would be 2y^2 = 0 -> y = 0 , so, the projection of the curve on the xy-plane is y=0.
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if x>2, then x^2-a-6 / x^2-4=
Write the equation in slope-intercept form of the line that has a slope of 6 and contains the point (1, 1). ...?
Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)
Question 16 options:
3 miles
5 miles
7 miles
9 miles
In how many ways can the letters in the word spoon be arranged?
A number t multiplied by -4 is a least -2/5
The inequality -4t ≥ -2/5, where t is the variable in question, simplifies to t ≤ 1/10, indicating that t must be less than or equal to 0.1. Negative time values are a conceptual tool used in physics to discuss intervals before a chosen start time.
The student's question is about solving an inequality involving a variable t and understanding the concept of negative time. The inequality is given as a number t multiplied by -4 is at least -2/5. Mathematically, this can be written as -4t ≥ -2/5. To solve for t, we can divide both sides by -4 (remembering that dividing by a negative switches the inequality sign), so t ≤ 1/10 or t is less than or equal to 0.1. This condition must hold true for any value of t for the statement to be correct.
The concept of negative time is often used in physics to describe events that occurred before a certain reference point in time. The references to negative time values represent periods before some initial event, similar to counting backward. A negative t value does not imply 'backward' time travel in the literal sense, but rather a point in time before the designated start (t = 0).
Which of the following is the equation of a line parallel to the line y = 4x + 1, passing through the point (5,1)?
A. 4x + y = 19
B. 4x - y = 19
C. 4x + y = -19
D. -4x - y = 19
...?
4x-y=19 is the correct answer for this problem
(Distribute , then simplify the remaining expression. Final answer must be in standard form) Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .
Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution?
a. The cost of electricity is $0.17 per unit.
B. The cost of natural gas is $0.20 per unit.
C. The cost of electricity is $0.72 per unit.
D. The cost of natural gas is $0.83 per unit.
Answer:
The correct option is D. The cost of natural gas is $0.83 per unit.
Step-by-step explanation:
Consider the provided equation.
[tex]116y = 96.28[/tex]
We need to solve the above equation for y.
Divide both the sides by 116.
[tex]\frac{116y}{116} = \frac{96.28}{116}[/tex]
[tex]y=0.83[/tex]
Now consider the provided options.
Hence, the correct option is D. The cost of natural gas is $0.83 per unit.
Use the area model to find the product of 28×32
the form of a linear equation that shows the slope and one point is the...? ...?
The form of a linear equation that shows the slope and one point is known as the point-slope form, which is written as y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.
The form of a linear equation that shows the slope and one point is known as the point-slope form. Unlike the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, the point-slope form is typically written as y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.
For example, if you are given a slope of 3 and a point (2, 5), the equation of the line in point-slope form would be y - 5 = 3(x - 2). To visualize this, consider a line graph with the x-axis as the horizontal axis and the y-axis as the vertical axis.
If this was plotted, the line would rise 3 units on the vertical axis for every 1 unit it rises on the horizontal axis, illustrating the concept of slope as the rise over run, which is consistent along the entire length of a straight line.
What's the volume of a cube-shaped box with edges 6 centimeters in length? A. 216 cm³ B. 18 cm³ C. 36 cm³ D. 1,296 cm³
Answer:
A. 216
Step-by-step explanation:
This is because the volume of a cube is worked out by doing . being the edge. Therefore, you just have to do (6 × 6 × 6), which is 216.
Using the given figure, the square ABCD is transformed to a new location.
The transformation shown is
RO,90°
DO,3
T(x, y) → (x + 5, y + 2)
Answer:
C
Step-by-step explanation:
round off 15.8% to the nearest whole percent
To round 15.8% to the nearest whole percent, we round up due to the digit after the decimal point is 8, resulting in 16%.
To round off 15.8% to the nearest whole percent, we look at the first digit after the decimal point, which is 8. Since this digit is 5 or greater, we round up. Therefore, 15.8% rounded to the nearest whole percent is 16%. This rounding method ensures accuracy in representing percentages, particularly in contexts like statistical analysis, grading, and financial reporting. By rounding to the nearest whole percent, the value becomes more concise and easier to interpret, aiding in clear communication and decision-making processes where precise percentage values are essential for understanding and comparison.
when 1600 is increased by 20% and the resulting number is decreased by y% . the answer is 1536
Let f(x)=x^3-7x^2+25x-39 and let g be the inverse function of f. What is the value of g'(0)? ...?