(Altitude)^2 = 8 × 20
(Altitude)^2 = 160
Altitude = √160
Altitude = √16 × √10
Altitude = 4 √10
Here is a list of numbers:
7.8, 5.7, 0.5, 6.8, 6.1,7.6, 8.4, 10, 8.1
State the median.
Step-by-step explanation
l do not know.
At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answer:
C. 0.5..................
how do you graph parametric equation on desmos?
Answer:
yes, you can graph parametric equations there. (It's called Desmos, by the way, not “Demos.”) Click on the triple-bar symbol at the top left, which takes you to a drop-down menu. Scroll down that menu until you see the entries for parametric equations. Hope this helps!
Step-by-step explanation:
pls say thx
Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4
Answer:
\( = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24\)
a psychologist designed a new aptitude exam to measure analytical thinking ability. the time allowed for the exam is minutes, and the exam is made up of multiple choice questions. suppose that examinees spend a mean of minutes per question, with a standard deviation of minutes. what is the probability that a randomly selected examinee will complete the exam on time? carry your intermediate computations to at least four decimal places. report your result to at least three decimal places.
To find the probability P(X ≤ \(X_{max\)), we need to find the cumulative probability corresponding to the calculated z-score using a standard normal distribution table or a calculator.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
To find the probability that a randomly selected examinee will complete the exam on time, we need to calculate the z-score and then use the standard normal distribution.
Given:
Mean time per question (μ) = minutes
Standard deviation (σ) = minutes
Time allowed for the exam (X) = minutes
We want to find P(X ≤ \(X_{max\)), where \(X_{max\) is the maximum time allowed for the exam. Let's assume the maximum time allowed is \(T_{max\).
To calculate the z-score, we use the formula:
z = (X - μ) / σ
z = (\(T_{max\) - μ) / σ
The z-score tells us how many standard deviations an observation is from the mean.
To find the probability P(X ≤ \(X_{max\)), we can use a standard normal distribution table or a calculator to find the cumulative probability associated with the calculated z-score.
Now, let's calculate the z-score using the given values:
z = (\(T_{max\) - μ) / σ
z = (\(T_{max\) - minutes) / minutes
To find the probability P(X ≤ \(X_{max\)), we need to find the cumulative probability corresponding to the calculated z-score using a standard normal distribution table or a calculator.
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DIG DEEPER! A county fair charges an entry fee of $7 and $0.75 for each ride token. You have $15. Write an expression that represents the amount (in dollars) you have left after entering the fair and purchasing n tokens. An expression is How many tokens can you purchase? You can purchase tokens.
Practice #2a
Determine the value of n. Show you work below or on
the diagram.
T
Do not put the units with your answer just the value
Check answer
9cm
12cm
Answer:
answer of n is 15 by pythagoras theorem
Step-by-step explanation:
n is a hypotenuse
\( \sqrt{ {12}^{2} + {9}^{2} } = 15\)
Answer this math question for 10 points
Measure of angle:
∠A = 36.86°
∠B = 90°
∠C = 53.13 °
Measure of side ,
AB = 28
BC = 21
CA = 35
Given triangle ABC.
Right angled at B.
Now, using trigonometric ratios to find angle A , B , C .
Right angled at B : ∠B = 90°
Angle A,
SinA = 21/35
∠A = 36.86
Angle C,
SinC = 28/35
∠C = 53.13
Now measures of side.
To find the length of side use sine rule .
Sine rule:
a/sinA = b/sinB = c /sinC
a = opposite side of angle A .
b = opposite site of angle B .
c = opposite side of angle C.
AB = 28
BC = 21
CA = 35
Hence the sides and angles of the triangles are measured .
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10.What is the rate of change of a line containing the points (9,5) and (9,16)?A.undefinedB.0C.11/18D.7/6
Given:
The line containing the points (9,5) and (9,16).
Explanation:
The rate of chage of line passes through point (x_1,y_1) and (x_2,y_2) is,
\(m=\frac{y_2-y_1}{x_2-x_1}\)Determine the rate of change of line passes through line (9,5) and (9,16).
\(\begin{gathered} m=\frac{16-5}{9-9} \\ =\frac{11}{0} \\ =\text{undefined} \end{gathered}\)So answer is undefined.
Option A is correct.
(1 point) how many strings of four decimal digits (note there are 10 possible digits and a string can be of the form 0014 eth., i., can start with zeros.) (a) end with an even digit? (can repeat digits.) 5000 (b) begin with an odd digit? (can repeat digits.) 5040
(a) 10⁴ strings of four digits which end with an even digit.
(b) 10⁵ strings of four digits which begin with an odd digit.
(a)There are 10 choices ranging from 0 to 1,2...9 for the first three digits of the string that ends in an even number and four possibilities ranging from 2,4,6,8, for the last digit.
According to the product rule there are 4000 strings that terminate in an odd number or 10 × 10 × 10 × 4.
(b) Also there are 10 choices ranging from 0 to 9 for the last three digits of the string that ends in an odd or even number and 5 possibilities ranging from 1,3,5,7,9 for the first digit .
According to the product rule there are 5000 strings that terminates in an even number or 10 × 10 × 10 × 5.
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Can you help me pls this was very hard for me
Given:
The equation is,
\(\frac{24x^2+25x-47}{ax-2}=-8x-3-\frac{53}{ax-2}\)Explanation:
Simplify the right hand side of equation.
\(\begin{gathered} -8x-3-\frac{53}{ax-2}=\frac{(-8x-3)(ax-2)-53}{ax-2} \\ =\frac{-8ax^2-3ax+16x+6-53}{ax-2} \\ =\frac{-8ax^2+(-3a+16)x-47}{ax-2} \end{gathered}\)From left side and right side of equationn it can be observed that,
\(-8ax^2=24x^2\text{ and (-3a+16)x=}25x\)Simplify the equation for a.
\(\begin{gathered} -8a=24 \\ a=\frac{24}{-8} \\ =-3 \end{gathered}\)OR,
\(\begin{gathered} -3a+16=25 \\ -3a=25-16 \\ a=\frac{9}{-3} \\ =-3 \end{gathered}\)So value of a is -3.
Option B is correct.
due tonight please help
Answer:
you can assume the purple point is a solution to both equations
i really need brainliest
Vendo 30 galletas, unas de 1,40 y otras de 1,60 ganando 44 euros. Cuantas he vendido de cada una
Step-by-step explanation:
Es un problema de sistema de ecuaciones lineales. Podemos representar la cantidad de galletas vendidas de cada tipo como variables x e y, donde x es el número de galletas vendidas a 1,40€ y y es el número de galletas vendidas a 1,60€. Entonces, podemos escribir dos ecuaciones:
x + y = 30 (el número total de galletas vendidas es 30)
1.4x + 1.6y = 44 (el dinero total ganado es 44€)
Resolvamos el sistema usando el método de sustitución:
x + y = 30
x = 30 - y
1.4(30 - y) + 1.6y = 44
42 - 1.4y + 1.6y = 44
42 = 44
No es posible, ya que los dos lados de la última ecuación no son iguales. Esto significa que no hay una solución posible para el número de galletas vendidas de cada tipo. Es decir, no es posible determinar cuántas galletas se vendieron a 1,40€ y cuántas se vendieron a 1,60€ con la información proporcionada.
What's the principal sum?
The principal sum refers to the amount payable in one sum in the case of accidental death and, in some cases, accidental dismemberment.
The amount paid in the case of accident or medical insurance in the event that the insured person dies, loses a limb, or loses sight is known to be as principal sum. It means that the principal sum amount is the maximum amount paid to the insured person for all injuries resulting from the accident.
Thus, the principal sum is the amount insured to be paid by the company to the beneficiary in the case of the insured individual's accidental death as well as in the loss of limb or sight.
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105 students in 3 Classes
Answer:
35
Step-by-step explanation:
just divide em
After being filled, a basketball loses 3.2% of its air every day. Considering that the initial volume of the ball was 840 cubic centimetres when it was inflated, what will be the volume in cubic centimetres after 4 days? (Round your answer to one decimal place).
Answer:
volume = 840 cubic cm
(3.2/100)×840= 26.88 per day
after 4 days = 26.88×4=107.5
answer is 107.5
The volume (in cubic centimeters) after 4 days, given that the initial volume of the ball was 840 cubic centimeters, is 732.5 cubic centimeters
How to determine the volume after 4 days?First, we shall determine the volume lost per day. Details below:
Initial volume = 840 cubic centimeters Percentage loss = 3.2%Volume lost per day = ?Volume lost per day = 3.2% × Initial volume
= 3.2% × 840
= (3.2 / 100) × 840
= 26.88 cubic centimeters
Now, we shall obtain the volume after 4 days. Details below:
Initial volume = 840 cubic centimeters Volume lost per day = 26.88 cubic centimeters Volume lost in 4 days = 4 × 26.88 = 107.52 cubic centimeters Volume after 4 days =?Volume after 4 days = Initial volume - Volume lost in 4 days
= 840 - 107.52
= 732.5 cubic centimeters
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Zoom in to see but is it a b c or d plzzz help
Answer:
48
Step-by-step explanation:
4^2=16×3=48
hope this helps
3.36 The life of an automotive battery is normally distributed with 900 days and a standard deviation of 35 days. What fraction of these batteries would be expected to survive beyond 1000 days
To determine the fraction of automotive batteries that would be expected to survive beyond 1000 days, we need to calculate the probability that a battery's life exceeds 1000 days, given that it follows a normal distribution with a mean of 900 days and a standard deviation of 35 days.
We can use the standard normal distribution (Z-distribution) to calculate this probability. We need to convert the value of 1000 days into a standardized Z-score using the formula:
Z = (X - μ) / σ
where X is the value we want to convert (1000 days in this case), μ is the mean (900 days), and σ is the standard deviation (35 days).
Z = (1000 - 900) / 35 = 2.857
Using a Z-table or a statistical calculator, we can find the area/probability to the right of Z = 2.857. This area represents the fraction of batteries expected to survive beyond 1000 days.
Looking up the Z-score of 2.857 in a standard normal distribution table, we find that the area to the right is approximately 0.00215.
Therefore, the fraction of automotive batteries expected to survive beyond 1000 days is approximately 0.00215 or 0.215%.
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how many ways are there to select 9 countries in the united nations to serve on a council if 3 is selected from a block of 53, 2 are selected from a block of 64 and 4 are selected from the remaining 72 countries?
There are 48,836,502,496 ways to select 9 countries to serve on the council given the specified conditions.To select 9 countries for the council from the given blocks, you'll need to use combinations. Combinations determine the number of ways to choose a certain number of items from a larger set without considering the order.
First, select 3 countries from the block of 53 countries. This can be done in C(53, 3) ways, where C(n, k) represents the number of combinations of n items taken k at a time.
C(53, 3) = 53! / (3! * (53 - 3)!) = 23,426
Next, choose 2 countries from the block of 64 countries.
C(64, 2) = 64! / (2! * (64 - 2)!) = 2,016
Lastly, select 4 countries from the remaining 72 countries.
C(72, 4) = 72! / (4! * (72 - 4)!) = 1,028,790
Now, multiply the number of combinations from each block together to find the total number of ways to select 9 countries for the council:
Total combinations = C(53, 3) * C(64, 2) * C(72, 4) = 23,426 * 2,016 * 1,028,790 = 48,836,502,496
So, there are 48,836,502,496 ways to select 9 countries to serve on the council given the specified conditions.
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Compute the range and sample standard deviation for the strength of the concrete in psi
3980, 4060, 3200, 3100, 2950, 3830, 4060, 4060
The range is ___ psi
s= ___ psi (round to one decimal place as needed)
The range for the strength of the concrete samples provided is 1110 psi, and the sample standard deviation is 456.7 psi.
In the given set of concrete strength values, the range is calculated by subtracting the lowest value from the highest value. In this case, the lowest value is 2950 psi and the highest value is 4060 psi. Thus, the range is obtained by subtracting 2950 from 4060, resulting in a range of 1110 psi.
To compute the sample standard deviation, we follow a two-step process. First, we calculate the mean (average) of the data set, which is found by summing up all the values and dividing by the total number of values. In this case, the mean is (3980 + 4060 + 3200 + 3100 + 2950 + 3830 + 4060 + 4060) / 8 = 3695 psi.
Next, we find the difference between each data point and the mean, square each difference, sum up the squared differences, divide by (n-1), and take the square root. Performing these calculations for the given data set, we obtain a sample standard deviation of approximately 456.7 psi.
In summary, the range for the concrete strength is 1110 psi, indicating the difference between the highest and lowest values. The sample standard deviation of 456.7 psi reflects the dispersion of the data points around the mean, providing a measure of the variability in concrete strength samples.
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Which situation is best represented using a negative integer?
Answer:
a
Step-by-step explanation:
ons belo Situation Cone Diagrams 6 in need to be placed on the boxes. 1. Dylan used a styrofoam cone to make a floral arrangement. The cone had a radius of 4.5 Inches and a height of 6 inches. What is the volume of this cone? 4.5 in Shane used day to make a cone with a height of 6 inches and a diameter of 4.5 inches for a sculpture. What is the volume of this cone? 4.5 in 6 in. Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone? Grace made a cone for her sand castle with a radius of 6 inches and a height of 4.5 Inches. What is the volume of this cone? 6 in Type here to search ה 7 4:27 PM 10/6/2020
Answer
Check Explanation
Explanation
The volume of cone is given as
Volume of a cone = ⅓ (πr²h)
where
r = radius of the cone
h = height of the cone
also note that radius of a cone = ½ (Diameter of the cone)
1) Dylan's cone
Radius = 4.5 inches
Height = 6 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 4.5² × 6)
= ⅓ (381.7035)
= 127.23 in³
2) Shane's cone
Radius = ½ (Diameter of the cone)
Diameter of the cone = 4.5 inches
Radius = ½ (4.5) = 2.25 inches
Height = 6 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 2.25² × 6)
= ⅓ (95.426)
= 31.81 in³
3) Jake's cone
Radius = ½ (Diameter of the cone)
Diameter of the cone = 6 inches
Radius = ½ (6) = 3 inches
Height = 4.5 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 3² × 4.5)
= ⅓ (127.2345)
= 42.41 in³
4) Grace's cone
Radius = 6 inches
Height = 4.5 inches
Volume = ⅓ (πr²h)
= ⅓ (π × 6² × 4.5)
= ⅓ (508.938)
= 169.65 in³
Hope this Helps!!!
answer this question (i wi mark u the brainliest)
Answer: I think it is x = 4
Step-by-step explanation: I think this becuse 10 + 5 = 15 and 7x + 4x = 11 and 11x - 15 = 4
Answer:
I think that the answer is x=15
Step-by-step explanation:
Because we know that that whole thing equals 180゚So you would combine like terms with 4X and 7X which would make it equal 11X and you would also add 10 and 5 which would make 15 and then you would make 11X+15 = 180 And then you would subtract 15 from both sides that would make it 11X equals 165 and then you would divide 11 from both sides to get X alone and that would make it X=15
simplify $((5p 1)-2p\cdot4)(3) (4-1\div3)(6p-9)$ to a much simpler expression of the form $ap-b$ , where $a$ and $b$ are positive integers.
The simplified expression is\($-11p^2-8p+\frac{7}{3}$, where $a=-11$ and $b=\frac{7}{3}$.\)
To simplify the given expression, let's break it down step by step.
Step 1: Simplify the expressions inside the parentheses:
\($((5p+1)-2p\cdot4)(3)(4-1\div3)(6p-9)$$=(5p+1-8p)(3)(4-\frac{1}{3})(6p-9)$$=(-3p+1)(3)(\frac{11}{3})(6p-9)$\)
Step 2: Simplify the expression in the first set of parentheses:
\($=(-3p+1)(\frac{11}{3})(6p-9)$\\\)
Step 3: Expand the expression using the distributive property:
\($=-\frac{33}{3}p^2+11p+6p-\frac{11}{3}-18p+6$\)
Step 4: Combine like terms:
\($=-11p^2-8p+\frac{7}{3}$\\\)
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PLS HELP ILL GIVE 45 POINTS AND BRAINLIEST PLS!!!!!
The equation s= 2/5f represents the proportional relationship between the amount of sugar (s) and flour (f) in a recipe. Which table represents the equation
of the proportional relationship?
Sugar. Flour
1. 2/5
2. 4/5
Sugar. Flour
4/5. 1
2/5. 2
Sugar. Flour
1. 4/5
2. 2/5
Sugar. Flour
2/5. 1
4/5. 2
Answer:
I believe that the answer is the second from the top but could you please explain the question a bit more I don't think the copy paste function worked very well if it's supposed to be a table
Step-by-step explanation:
Answer:
i think it is the last potion
Step-by-step explanation:
There are 200 counters in a bag 4/5 of the counters are red 5% are blue and the rest are green how many green counters are there in the bag
Answer:
30
Step-by-step explanation:
4/5=80%
80% of 200=160
5% of 200=10
80+5=85
100-85=15
15% of 200=30
help me with this question please
Answer:
2.50 p + 1.50p
Step-by-step explanation:
if you buy an item x amount of times you would times the two to figure out the total cost of that type of item then add with the other
For problems 1, 2, and 3, use the function g(x) = sin(6x) .
1. Find the amplitude of the function. State the range of the function.
2. Find the period of the function. Find the key points of the function [intercept(s), maximum(s), and minimum(s)] for 1 period. Show all work.
3. Sketch the graph of g (one period), alongside the graph of f(x) = sinx on the interval [0,2/pi]. Label the axes.
For problems 4, 5, and 6, use the function g(x)=cos((x)/(4)).
4. Find the amplitude of the function. State the range of the function.
5. Find the period of the function. Find the key points of the function [intercept(s), maximum(s), and minimum(s)] for 1 period. Show all work.
6. Sketch the graph of g, alongside the graph of f(x) = cosx on the interval [0,2/pi] . Label the axes.
Step-by-step explanation:
1. Amplitude = 1. g(x) = 1 sin(6x). The coefficient 1 is the amplitude. The range of the function is \(-1 \le g(x) \le 1\) or, in interval notation, [-1, 1]
2. The period is \(\frac{2\pi}{6}=\frac{\pi}{3}\).
x-intercepts (at the beginning, middle, and end of the period) \(0,\,\frac{\pi}{6},\,\frac{\pi}{3}\)
Maximum (1/4 of way through period) \(\left(\frac{\pi}{12},\,1 \right)\)
Minimum (3/4 of way through period) \(\left( \frac{\pi}{4}, \, -1 \right)\)
Write an equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400). enter your answer in simplest form.
The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.
To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.
Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.
According to the equation of continuity, A1 * V1 = A2 * V2.
Substituting the given values, we have:
64π * V1 = 4π * V2
Simplifying, we get:
16V1 = V2
So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:
1600 * 16 = 2400
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Factor the expression. - 35a - 30
Answer:
-5(7a+ 6)
Explanation:
Given the expression:
-35a - 30
-35a = -5 * 7 * a
-30 = -5 * 6
You can see from the factors that -5 is common to both
Hence -5 is the GCF
Factoring out -5 from the expression will give;
-5(7a+ 6)
This gives the correct factor