The average temperature in Long Beach California is 80 degrees Fahrenheit with a standard deviation of 3 degrees. What percentage of temperatures fall between 80 and 89 degrees?
Answers
Answer:
0.4987
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
So for 80 we have:
z = (80 - 80) / (3)
z = 0
and this value represents 0.5
for 89 we have:
z = (89 - 80) / (3)
z = 3
and this value represents 0.9987
we subtract:
0.9987 - 0.5 = 0.4987
Which means that it represents 49.87%
Related Questions
three points t, u, and v on the number line have coordinates t, u, and v, respectively. is point t between points u and v ?
Answers
We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.
To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.
Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.
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how do you say 3x - 8 < 13 as an inequality
Answers
The interpretation of the inequality is x is less than 7
How to interpret the inequalityFrom the question, we have the following parameters that can be used in our computation:
3x - 8 < 13
The inequality 3x - 8 < 13 can be rewritten as:
3x < 13 + 8
3x < 21
And finally, dividing both sides by 3
x < 7
Hence, the inequality in the form x < 7 is equivalent to 3x - 8 < 13.
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A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E IS spun
What is the probability of rolling a number greater than 2 and spinning a vowel?
Answers
Answer:
4/15
Step-by-step explanation:
Sample Space (List of possible outcomes)
1A, 1B, 1C, 1D, 1E, 2A, 2B, 2C, 2D, 2E, 3A, 3B, 3C, 3D, 3E, 4A, 4B, 4C, 4D, 4E, 5A, 5B, 5C, 5D, 5E, 6A, 6B, 6C, 6D, 6ETotal outcomes = 6 x 5 = 30Conditions
Number greater than 2VowelSpace for Listed Outcomes (with conditions applied)
3A, 3E, 4A, 4E, 5A, 5E, 6A, 6EOutcomes = 4 x 2 = 8Probability
Listed outcomes / Total outcomes8/304/15find div(curl f) = ∇ · (∇ × f). f(x, y, z) = xyzi yj zk
Answers
If f(x, y, z) = xyzi + yj + zk, the divergence of the curl of the vector field f is zero.
To find the divergence of the curl of the vector field f(x,y,z) = xyzi + yj + zk, we first need to compute the curl of f, which is given by:
curl f = (∇ × f) = ∂(zk)/∂y - ∂(yj)/∂z + (∂(yj)/∂x - ∂(xyzi)/∂y)k + (∂(xyzi)/∂z - ∂(zk)/∂x)j + (∂(zk)/∂x - ∂(yj)/∂y) i
Simplifying this expression, we get:
curl f = (-z)i + xj + yk
Next, we need to find the divergence of the curl of f, which is given by:
div(curl f) = ∇ · (∇ × f) = ∂(∂(zk)/∂y - ∂(yj)/∂z)/∂x + ∂(∂(yj)/∂x - ∂(xyzi)/∂y)/∂y + ∂(∂(xyzi)/∂z - ∂(zk)/∂x)/∂z
Substituting the values from the curl f expression, we get:
div(curl f) = ∂(-z)/∂x + ∂(x)/∂y + ∂(y)/∂z
Simplifying this expression, we get:
div(curl f) = 0
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Remember the type of word problems that have been posted this week. Now it's your turn. Create a word problem that can represent the expression 2x + 6
Answers
Identify the surfaces with the given vector equations describes r(u, v) = (u, 4v, u^2 - v^2) describes r(u, v) = (sin(u), v, 3 cos(v)) describes r(s, t) = 5si + (5 + t - 4) j + tk describes r(s, t) = t sin(s) i + 5t^2j + t cos(s) k
Answers
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.
In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).
Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
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Martine grew at an average rate of 6cm/year for the first 18 years of her life. If Martine was 50 cm long when she was born, how tall was Martine when she turned 18?
Answers
Answer:
158cm
Step-by-step explanation:
Martine had the height of 50cm when born.
Every year she grows at an average rate of 6cm
So the the first 18 years will be 6cm × 18 = 108cm
She will be 108cm + 50cm = 158cm tall by the time she turns 18 years
50cm + (6 × 18)cm
50cm + (6 × 18)cm50cm + 108cm
50cm + (6 × 18)cm50cm + 108cm158cm
Which of the following is the domain of the graph below?
Answers
Answer:
That answer is correct
Step-by-step explanation:
all of the other ones have errors in them, the domain is every dot above below or on the x-axis.
Estimate the radius of the object. Round to the nearest hundredth if necessary. (Don’t guess please).
Answers
Answer:
13.98 mm
Step-by-step explanation:
C=πd
C=2πr
8.9=2πr
4.45=πr
13.98≈r
Therefore, the radius of the object is about 13.98 mm
The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a
linear function. The amusement park charges an entrance fee of $45.25 per person and a
parking fee of $10 per car. Leah's car has seating for a maximum of 6 people.
What is the range of the function for this situation?
A
B
{1, 2, 3, 4, 5, 6)
{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}
55.25 Sy s 281.50
с
D
1SXS 6
Answers
Answer:
Range of the function is:
{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}
Step-by-step explanation:
Given that:
Seating capacity of the car = 6
Entrance fee per person = $45.25
Parking fee per car = $10
Leah is accompanied by \(x\) friends.
So, the total cost can be modeled as the following linear function:
\(y=45.25x+10\)
Now, the value of \(x\) i.e. number of friends going with Leah can be any of the following:
0, 1, 2, 3, 4 or 5 (because maximum capacity of the car is 6).
Leah is also going.
So, total number of people can be 1, 2, 3, 4, 5 or 6.
Therefore, the table of \(x, y\) can be:
\(\begin{center}\begin{tabular}{ c c}x & y \\ 1 & 55.25 \\ 2 & 100.50 \\ 3 & 145.75 \\ 4 & 191 \\ 5 & 236.5 \\ 6 & 281.50 \\\end{tabular}\end{center}\)
Here, the value of \(y\) is nothing but the range of the function.
Therefore, the range of the linear function is:
{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}
Where is (2,-6) located on the coordinate plane?
Is it y-Axis or A-axis and what quadrant ?
Answers
Answer:
(2, -6) 2 is on the x-axis and -6 is on the y-axis.
Step-by-step explanation: X-Axis is horizontal and Y is vertical. X can also be remembered as left to right. Y-axis runs up and down. It would be in the IV (fourth) quadrant.
Answer:
Step-by-step explanation:
its in the forth box
14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth
Answers
Answer:
I'm an island boii ️️
The angle formed by the radius of a circle and a tangent line to the circle is always:
less than 90 degrees
greater than 90 degrees
equal to 90 degrees
Answers
Answer: equal to 90 degrees.
Step-by-step explanation:
The angle formed by the radius of a circle and a tangent line to the circle is always a right angle, which means it is equal to 90 degrees. This is a well-known property of tangents to circles.
the mode of 100 120 120 140 140 100
Answers
Answer:
100, 120, 140
Step-by-step explanation:
The mode is the value that occurs most often in the sequence. All the numbers occur twice
a square sheet of paper has area $6 \text{ cm}^2$. the front is white and the back is black. when the sheet is folded so that point $a$ rests on the diagonal as shown, the visible black area is equal to the visible white area. how many centimeters is $a$ from its original position? express your answer in simplest radical form.
Answers
Answer:
Step-by-step explanation:i need you to add
Since the black and white areas are equal, the folded sheet has four congruent right triangles with legs x and \frac{6}{2x}. This is the same as the area of the unfolded sheet, so x satisfies the equation x^2 + (\frac{6}{2x})^2 = 6. Simplifying, we get x^4 - 6x^2 + 9 = 0$. This factors as (x^2 - 3)^2 = 0, so x^2 = 3. Therefore, a is \sqrt{3} centimeters from its original position.
We're given that the square sheet of paper has an area of 6 cm². To find the side length of the square, we'll take the square root of the area:
Side length = √(area) = √6 cm
Now let's focus on the folding part. When point A is folded onto the diagonal, a smaller square is formed with one of its vertices at point A. Let's call the side length of this smaller square x cm.
Since the visible black area is equal to the visible white area, that means the area of the smaller square is equal to half of the total area:
Area of smaller square = (1/2) * 6 cm² = 3 cm²
Now we can find the side length of the smaller square:
x = √(area of smaller square) = √3 cm
Since the smaller square is formed by folding, its diagonal is equal to the side length of the original square (√6 cm). We can now use the Pythagorean theorem to find the distance of point A from its original position:
Diagonal² = (side length of smaller square)² + (distance of A from original position)²
(√6 cm)² = (√3 cm)² + (distance of A from original position)²
6 cm² = 3 cm² + (distance of A from original position)²
3 cm² = (distance of A from original position)²
√3 cm = distance of A from the original position
So the distance of point A from its original position is √3 cm.
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Molly needs to classify the triangle below based on angles. Which class is correct? 60° 50° 70° A. acute triangle О B. isosceles triangle C. equilateral triangle D. obtuse triangle
Answers
Answer:
A. Actute triangle
Step-by-step explanation:
Is A because an acute triangle is a triangle where all the angles are the same.
Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.
Can not be C. because equilatiral triangles are triangles with sides that are all the same.
Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.
So it has to be A.
An architect draws a blueprint of the newly modeled family room she is designing for her basement. The scale she uses is 1 inch = 2.5 feet. If the length of the family room is 8 inches, and the width of the family room is 4 inches, what are the actual dimensions of the family room?
Answers
Answer:20 feet by 10 feet
Step-by-step explanation:
Mr Louis thinks there are irregularities in the payroll system, and orders an inspection of a random sample of vouchers issued since January 1, 2006. A sample of ten vouchers is randomly selected, without replacement, from the population of 2,000 vouchers. Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x. If 20% of the population of vouchers contains errors, the mean value of x is
a) 400
b) 2
c) 200
d) 5
e) I
Answers
If 20% of the population of vouchers contains errors, the mean value of x is 2. Hence, the correct option is b) 2.
Given: A sample of ten vouchers is randomly selected, without replacement, from the population of 2,000 vouchers, and 20% of the population of vouchers contains errors. We need to calculate the mean value of x.
Population = 2000
Sample size = 10
Population with errors = 20% = 0.20
Population without errors = 80% = 0.80
Formula to calculate the mean value of x is:
µx = (n / N) * P
Where, n = sample size
N = population size
P = population proportion
Substitute the values of n, N, and P in the above formula, we get;
µx = (10 / 2000) * 0.20 = 0.001
Mean value of x = µx * N= 0.001 * 2000= 2
Hence, the correct option is b) 2.
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A school team won 15 out of 20 games. Express this as a ratio in lowest terms.
Answers
Answer:
3/4 or 3:4
Step-by-step explanation:
To express this as a ratio, we simply place 15 over 20
mathematically that would be;
15/20
divide numerator and denominator by 5
= 3/4
HELP FAST In triangle A B C, the right angle is at vertex C, a = 525 cm , b = 700 cm and c = 875 cm. What is the value of sine A ?
Answers
Answer:
0.6.
Step-by-step explanation:
If the right angle is < C the hypotenuse is c. The opposite side to angle A is a.
So sin A = a / c
= 525 / 875
= 0.6.
Which answer choice gives the correct surface area
for a triangular prism with bases that are 4 cm2 and
sides that are 4 cm2?
A. 20 cm2
B. 8 cm2
C. 26 cm2
O D. 6 cm2
SUBMIT
Answers
The surface area of the triangular prism with bases that are 4 cm and sides that are 4 cm is 192 cm²
Surface areaBase = 4 cmHeight = 4 cmSurface area of a triangular prism = 12 × base × height
= 12 × 4 cm × 4 cm
= 192 cm²
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Need this asap if you help Tysm!!!
Answers
Answer:
B. -$0.75
Step-by-step explanation:
that is really very simple.
the value on day 1 (the begin) is $2.50.
the value on day 5 (the end of the week I assume) is $1.75.
so, the value changed by -$0.75 from $2.50 to $1.75.
yes, this is the sum of all little individual changes day by day. but there is no need to do these detailed calculations. at the end it is just
value end - value begin
Simplify (2m6)3.
Please I need the answer fast!
Answers
Answer:
6m sqared to 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(2m6)3
- if you mean (2m^6)^3
it is 8m^18.
Can a relation R on a be both symmetric and antisymmetric?
Answers
Yes, a relation R on a set A can be both symmetric and antisymmetric.
A relation R is symmetric if for every (a, b) in R, (b, a) is also in R. A relation R is antisymmetric if for every (a, b) and (b, a) in R, a = b.
For a relation to be both symmetric and antisymmetric, it must satisfy both conditions.
This can occur if the relation only contains ordered pairs with the same elements, such as (a, a) or (b, b), because they meet both the symmetric and antisymmetric criteria.
An example of such a relation is the identity relation, which consists of pairs (a, a) for every element a in the set A.
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Convert the following to Slope-Intercept Form: 4x – 3y = 24.
Answers
The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
4x – 3y = 24
Convert the equation from standard form to slope-intercept form. Then we have
4x – 3y = 24
3y = 4x - 24
y = (4/3)x - 24 / 3
y = (4/3)x - 8
The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.
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HELP PLEASE!! VERY MUCH APPRECIATED!!
find an equation for the graph of the set of points whose distances from (6,0) and (-6,0) always add up to 20 (ellipse equation)
Answers
Answer:
1.3445367773335334434333233332
If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answers
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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X^2 - 16 (Factoring)
Answers
Answer:
(x - 4)(x + 4)
Step-by-step explanation:
x² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 16
= x² - 4²
= (x - 4)(x + 4)
the graph shows a probability distribution. which probabilities are equal to 0.3? select each correct answer. p(5≤x≤8) p(x≤3) p(x≥3) p(3≤x≤5)
Answers
There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.
Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.
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76+-90-(-48)
Help!!!!!!!!!!!!!!!! Pls
Answers
Answer:
Answer
If we add 76+(-90)-(-48)=34