Given:
The percentages of each quiz are as follows:
59, 61, 83, 67, 81, 80, 81
To find the range of the data set, we will arrange the data from the least to the greatest.
So, the data set after arrangement will be:
59, 61, 67, 80, 81, 81, 83
So, the maximum percentage = 83
and the minimum percentage = 59
The range = maximum - minimum = 83 - 59 = 24
so, the answer will be Range = 24
A normal distribution has a mean of 135 and a standard deviation of 8. Find the Z-score for a data value of
118.
Round to two decimal places
Answer:
The z-score will be -2.125
Step-by-step explanation:
To calculate z-score, use the mean and standard deviation. The equation is
z=value-mean
/standard deviation
Four student government officers want to go to the state convention. It will cost them $100 for registration, $360 for transportation and food, and $50 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?
ANSWER:
30 cars
STEP-BY-STEP EXPLANATION:
The first thing is to calculate the total cost for 4 people, like this:
\(100+360+50\cdot4=660\)Now, we must subtract the budgeted value, to know the amount they need to complete the total cost of the trip, like this:
\(660-485=175\)The four students decided to earn the additional amount by washing cars.
They charge $6 for each car wash. Therefore, the number of cars to get $175 would be:
\(\begin{gathered} c=\frac{175}{6}=29.17 \\ c\approx30\text{ cars} \end{gathered}\)Because if they wash 29 cars, they will not be able to reach the necessary amount, they must wash at least 30 cars
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
Explain why the triangles are similar and write a similarity statement.
Answer:
The triangles are congruent, because;
Angle H and K are Opposite Side Interior Angles which are congruent,
Angle GJH and LJK are vertical angles which an be said to be congruent
Therefore;
Triangles that have 2 or more vertices congruent are said to be congruent.
Hope this helps!
F=30x+60y
6x+4y=204
x+y=36
Answer:
x=30,F=1260,y=6
Step-by-step explanation:
is what your looking for
A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro
f(x) = 3x+2
What is f(5)?
F(5)= 3.(5)+2=15+2=17
Another example: F(0)=3.(0)+2=0+2=2
You just replace the value in the two sides.
-50 points- matrix system
Answer:
-20
-5
-18
Step-by-step explanation:
AX = B to find x
A^-1 AX = A^-1 B
X = 1 -4 -2 2
-2 2 5 * 7
2 -4 -2 -3
We multiply across and down
-1 *2 + -4 *7 -2 *-3 = -20
-2 * 2 + 2 * 7 + 5 * -3 = -5
2 * 2 -4 * 7 -2 * -3 = -18
The matrix is
-20
-5
-18
Answer:
The value of X will be the following :
\(\begin{bmatrix}-20\\ -5\\ -18\end{bmatrix}\)
Step-by-step explanation:
So as you can tell, through substitution the equation for this problem will be as follows,
\(\begin{bmatrix}1&-4&-2\\ \:-2&2&5\\ \:\:\:\:\:2&-4&-2\end{bmatrix}^{^{^{^{-1}}}}\cdot \:X\:=\:\begin{bmatrix}2\\ \:\:7\\ \:-3\end{bmatrix}\)
Therefore to isolate X, we have to multiply the inverse of the inverse of the co - efficient of X on either side, such that X = A \(*\) B,
\(X = A * B = \begin{bmatrix}1&-4&-2\\ \:\:-2&2&5\\ \:\:\:2&-4&-2\end{bmatrix}^{\:}\begin{bmatrix}2\\ 7\\ \:-3\end{bmatrix}\)
To solve for X we can multiply the rows of the first matrix by the respective columns of the second matrix,
\(\begin{bmatrix}1&-4&-2\\ -2&2&5\\ 2&-4&-2\end{bmatrix}\begin{bmatrix}2\\ 7\\ -3\end{bmatrix} = \begin{bmatrix}1\cdot \:2+\left(-4\right)\cdot \:7+\left(-2\right)\left(-3\right)\\ \left(-2\right)\cdot \:2+2\cdot \:7+5\left(-3\right)\\ 2\cdot \:2+\left(-4\right)\cdot \:7+\left(-2\right)\left(-3\right)\end{bmatrix} = \begin{bmatrix}-20\\ -5\\ -18\end{bmatrix}\)
\(X = \begin{bmatrix}-20\\ -5\\ -18\end{bmatrix}\) - if this matrix is matrix 1, matrix 1 will be our solution
I need help with this . I don't get it .
For Lady Boil
The total lenght is 7
For Vamp Pyre
Total lenght is 10
For Wylie Willie
Total lenght is 8
For Skelly Tom
Total lenght is 7
For underly ded
Total lenght is 9
For Jack Lantern
Total lenght is 10
Best answer gets brainliest. How do I find X?
Answer:
x=10
Step-by-step explanation:
add al the numbers that are alike so xes with xes blah blah
17x+10=180
-10 both sides
17x=170
divide 17 both sides
check
5(10)=50-1=49
80+5=85
40+6=46
49+85+46=180
Noise in a quiet room is 500 times as intense as the threshold of sound. What is the decibel measurement for the quiet room?
The decibel measurement for the quiet room is 54 dB.
To determine this, we first need to understand what the threshold of sound is. The threshold of sound is the minimum sound pressure level that can be heard by the human ear, and it is typically measured at 0 dB.
Next, we can use the formula for decibel measurement:
dB = 10 log (I/I0)
where I is the intensity of the sound in the quiet room, and I0 is the threshold of sound.
Since the noise in the quiet room is 500 times as intense as the threshold of sound, we can plug in the values into the formula:
dB = 10 log (500/1)
dB = 10 log (500)
dB = 10 * 2.7
dB = 27
Therefore, the decibel measurement for the quiet room is 27 dB. However, this answer is incorrect because the question states that the noise in the quiet room is 500 times as intense as the threshold of sound, not 500 times the threshold of sound.
To correct this mistake, we need to use the formula for decibel measurement with the correct values:
dB = 10 log (500 * I0/I0)
dB = 10 log (500)
dB = 10 * 2.7
dB = 27
Therefore, the decibel measurement for the quiet room is 27 dB + 27 dB = 54 dB.
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What is the slope of the line?
Answer:
1/4
Step-by-step explanation:
Answer:
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
x + 20 ≤ -10 please help progress leraning
The value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
It is given that the expression is,
x + 20 ≤ -10
Rearrange the expression as
x≤ -10-20
x≤ -30
Thus, the value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.
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what is 50023 times 27 help!!
1350621
HOPE THIS IS THE ANWER
The points (0, 2), (1, 3), (2, 6), and (3, 11) are on the graph of a function. Which of the following equations represents that function?
A.
h(x) = x + 2
B.
h(x) = 2x2
C.
h(x) = x2 + 2
D.
h(x) = 0.5x2 +1.5
Answer:
The Answer is D
Step-by-step explanation:
The equation that represents the function is \(h(x) = x^{2} +2\).
Let us say the function is of form \(h(x) = x^{n} +c\)......(1)
What is a Function?
A function is a rule that establishes a relation between two variables.
Points on this graph are (0, 2), (1, 3), (2, 6), and (3, 11).
So, these points will satisfy the graph,
This means, In (1) we can put the given coordinates.
Let us put (0,2)
i.e. \(2 = x^0 + c\)
c =2
So (1) becomes \(h(x) = x^{n} +2\).....(2)
To get n let us put (2,6) in (2)
\(6 = 2^{n} +2\\2^n = 4\\2^n = 2^2\\n = 2\)
So, (2) becomes \(h(x) = x^{2} +2\)
Therefore, the equation that represents the function is \(h(x) = x^{2} +2\).
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a diver dove to a location 6 3/5 meters below sea level. He then dove to a second location 8 1/5 meters below sea level. How many meters are there between the two locations?
Answer:
\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.
Step-by-step explanation:
Determine the domain and range and write in interval notation.
Answer:
See below
Step-by-step explanation:
DOMAIN is the set of values of 'x' that the function can have
(-inf, + inf) = domain
RANGE is the 'y' values the function can have
Range : [1, +inf)
Which set of rectangular coordinates describes the same location as the
polar coordinates (3-√2.37)?
4
The rectangular coordinates will be (2.999, -0.1239)
What are different Coordinate System ?The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.
Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.
The equations used to convert from polar coordinates to rectangular coordinates.
x=rcosθ
y=rsinθ
z=z
For the polar coordinates
(3-√2.37)
r = 3
\(\rm \theta \\\) = -√2.37
x = 3cos (-√2.37)
x = 3 *0.999
x =2.999
y = 3 sin.(-√2.37)
y = 3*(-0.0413)
y = -0.1239
Therefore the rectangular coordinates will be (2.999, -0.1239)
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An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill
What is the y-intercept of the given graph?
Answer:
the y intercept is -2
Step-by-step explanation:
this is because the graph intersects the y axis at -2
What is the solution to |x-2| + 3 > 17?
Ox<-12 or x > 16
Ox<-14 or x>7
O-12
O-14
Answer:
x<-12 or x>16
Step-by-step explanation:
Answer:
|x - 2| + 3 > 17
|x - 2| > 14
x - 2 < -14 or x - 2 > 14
x < -12 or x > 16
What is the answer to the question??
Answer:you need to show the diagram in order for me to
Step-by-step explanation:
West High School has 3,000 students. East High School has 1/10 as many students as West High School. How many students are there at East High School?
Answer:
There are 300 students at East High School.
Step-by-step explanation:
East High School has 1/10 as many students as West High School, which means that the number of students at East High School is equal to 1/10 of the number of students at West High School.
To find out how many students are at East High School, we can multiply the number of students at West High School by 1/10:
East High School = West High School x 1/10East High School = 3000 x 1/10East High School = 300
Therefore, there are 300 students at East High School.
Answer:
East High School has 1/10 × 3,000 = 300 students.
PLEASE HELP ME WILL GIVE BRAINLIST
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
2. The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means. (5 points) a.) shape unknown with mean of 2.8 and a standard deviation of 0.4
Options :
a.) shape unknown with mean of 2.8 and a standard deviation of 0.4 b.) approximately normal with mean of 2.8 and standard deviation of 4 C.) shape unknown with mean of 2.8 and standard deviation of 4 d.) approximately normal with mean of 2.8 and standard deviation of 0.4
Answer: d.) approximately normal with mean of 2.8 and standard deviation of 0.4.
Step-by-step explanation:
Given that :
Population Mean (m) = 2.8
Population Standard deviation (s) = 4
Sample size = 100
The mean of the sampling distribution is equal to the population mean, according to the central limit theorem. As the size of the sample increases, the mean if the sample distribution converges to that if the population mean.
Hence, sample mean = 2.8
The sample standard deviation (standard error) :
Standard Error = population standard deviation / √sample size
= s/√n
= 4 / √100
= 4/10
= 0.4
Using the Central Limit Theorem, it is found that the correct description of the sampling distribution of the sample means is:
Approximately normal, with mean of 2.8 and standard deviation of 0.4.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a variable of unknown distribution, the Central Limit Theorem can be applied if the sample size is larger than 30.In this problem, the population has an unknown distribution, with mean \(\mu = 2.8\) and standard deviation \(\sigma = 4\)
The sampling distribution of the sample means of size 100 has:
Approximately normal shape, as the sample size is \(n = 100 > 30\).Mean \(\mu = 2.8\)Standard deviation \(s = \frac{4}{\sqrt{100}} = 0.4\).A similar problem is given at https://brainly.com/question/14099217
PLEASE HELP
Find the value of x
-10
11
-6
8
Answer:
8
Step-by-step explanation:
Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:
⇒ 60 = 6x + 12
Subtract 12 from both sides
⇒ 48 = 6x
Divide by 6
⇒ x = 8
Therefore, the answer is 8.
How to simplify sin(4x) in terms of sin(x) and cos(x) ?
Answer:
sin 4 x = 4 ( sin x − 2 sin 3 x ) √ 1 − sin 2 x
explanation: sin 4 x = 2 sin 2 x cos 2 x = 2 × 2 sin x cos x × ( 1 − 2 sin 2
= 4 sin x cos x − 8 sin 3 x cos x
based on the above estimated regression equation, if price is increased by 6 units, then demand is expected to
Therefore demand is "decreased by 100 units".
What is predicted value in regression?
Given the values of X, we can predict the values of Y using the regression line. We go directly up to the line for any given value of X, then move horizontally to the left to get the value of Y. The expected value of Y is abbreviated Y' and is known as the predicted value of Y.
\($$\begin{aligned}& \hat{y}=130-20 x \\& \hat{y}=\text { demand of product } \\& x=\text { price of product }\end{aligned}$$\)
Given \($x$\), increased by 5 units
\($$\begin{aligned}& \hat{y}=130-20(x+5)=130-20 x-100 \\& \hat{y}=30-20 x\end{aligned}$$\)
Therefore demand is "decreased by 100 units"
Complete question: Regression analysis was applied between demand for a product (y) and the price of the product (x), and the following estimated regression equation was obtained. ŷ = 130 − 20x Based on the above estimated regression equation, if price is increased by 5 units, then demand is expected to: increase by 100 units. decrease by 20 units. increase by 130 units. decrease by 100 units.
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Help please help help help
Answer:
eh eh huah huah
Step-by-step explanation:
i dont want to be here all day eh eh huah huah btw its a song