Answer:
2345677888yffycchujbvfsxbjydcbtscno
Evaluate the solid bounded by 2x + z = 2 and (x − 1)^2 + y^2 = z. Sketch the given solid.
Answer:
resuelve la pregunta*
Step-by-step explanation:
tu mamá es mi mamáThe probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
[tex]P(X = 0) = 0.76[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = x[/tex]
Item a:
The sum of all the probabilities has to be 1, that is:
[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]
Thus:
[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]
[tex]0.96 + x = 1[/tex]
[tex]x = 0.04[/tex]
The missing value is 0.04.
Item b:
The mean is given by the sum of each outcome multiplied by it's probability, thus:
[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]
The mean is of 0.37.
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I don't understand this!!!
Answer:
6 more times
Step-by-step explanation:
trust :)
3. Starting from the camp at C, Tim takes a bearing of a mountain and notes it to be 25°. He then walks 5 km to the hut at H and takes a second bearing, 345°
(a) Work out the angles in the triangle. Show it is a right angled triangle.
(b) From the mountain at M, what is the bearing of the camp?
(c) How far is it from the camp to the mountain?
(d) Tim walks back to camp from the hut. What bearing does he follow?
Answer:
No idea
Step-by-step explanation:
Find the x-coordinate where the graph of the function f of x equals e raised to the power of negative 1 times x squared has a slope of 0.
0
negative square root of 2
the square root of 2
the square root of 2 over 2
Answer:
The square root of 2 over 2
Step-by-step explanation:
h e l p m e please its 20 points
Answer:
its just a rotation. its as simple as rotating it back to its origonal form and matching up the corners
Step-by-step explanation:
Moly has 83.50 in her savings account.she deposits 15 every week
Answer:
she will spend 5 weekings taking out mobey and with 13.50 left over
Step-by-step explanation:
The number of students in the tutoring center was recorded for 47 randomly selected times. The data is summarized in the frequency table below.
Number
of Students Frequency
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
What is the class width for this Frequency Distribution Table?
Class width =
Using the information given, it is found that the class width for this frequency distribution table is of 1.
In this problem, these following classes are given:
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
The classes not given, which are 1 - 2, 3 - 4 and 5 - 6, have values of 0.
The difference between the bounds of the classes is of 1, thus, the class width is of 1.
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given that 2x+y= y+x+1 and y
=2x+2y solve for x and y
Answer:
x=1,y=-2
Step-by-step explanation:
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
The first choice
Step-by-step explanation:
h=-3
hope it helps
[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]
Answer:Option d. 3
e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.
From the combined standard deviation, with the mean, and standard
deviation of the data sets, the required variance can be found.
[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]Reasons:
The given data information are;
Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0
Standard deviation of the the first set, σ₁ = 4.0
Sample size of second observation, n₂ = 20
Mean of second sample, [tex]\overline x_2[/tex] = 10
Standard deviation of the combined set, σ₁₂ = 3.0
Sample size of combined set of observation, n₂ = 35
Solution:
The number of elements in the second sample, n₁ = 35 - 20 = 15
The standard deviation of the combined set is given by the formula;
[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]
Where;
[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]
Therefore;
[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]
d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]
[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]
d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]
[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]
Therefore;
[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]
Solving gives;
[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]
[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]
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Please help me with the question
Answer:
Rate of Change: 2
Step-by-step explanation:
Rate of change is the same as slope:
( y1 - y2 ) / ( x1 - x2 )
( 2 - 4 ) / ( 0 - 1 )
( -2 ) / ( -1 )
2
Hopefully this helps!
Brainliest please?
What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a
meter?
Answer:
3.553774
Step-by-step explanation:
[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]
h
works out to 3.553774
The radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
What is a hemisphere? What is a mathematical function, equation and expression? hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is hemisphere with a volume of 94 m³.
The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :(2/3)πr³ = 94
πr³ = (94 x 3/2)
πr³ = 47 x 3
πr³ = 141
r³ = (141/π)
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
Therefore, the radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
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Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30
The slope - intercept form is ___
The slope is ___
The y - intercept is (_, _)
Answer:
y=-5/3x+10
-5/3
(0,10)
Step-by-step explanation:
5x+3y=30
-5x. -5x
3y=-5x+30
÷3. ÷3
y=-5/3x+10
the number by the x is the slope and the constant
is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)
i rlly need help help me out pls
Answer:
San francisco
Step-by-step explanation:
once you divide the distance by time then multiply the answer by the longest amount of time (aka 4)
San francisco = 2556
Minot = 1826
Phoenix = 2252
solve pls brainliest
Answer:
1(5/8)
step-by-step:
divide the numerator (top number) by the denominator (bottom number)
write whole number off to the left and put the remainder over the denominator to the right
Mark 4 feet of licorle to show 3/4
on number line
[tex] \sqrt{5.29} = [/tex]
a) 2.3
b) 2.4
c) 2.5
d) 2.6
Answer:
2.3
Step-by-step explanation:
In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.
Step 1:
Divide the number (5.29) by 2 to get the first guess for the square root .
First guess = 5.29/2 = 2.645.
Step 2:
Divide 5.29 by the previous result. d = 5.29/2.645 = 2.
Average this value (d) with that of step 1: (2 + 2.645)/2 = 2.3225 (new guess).
Error = new guess - previous value = 2.645 - 2.3225 = 0.3225.
0.3225 > 0.01. As error > accuracy, we repeat this step again.
Step 3:
Divide 5.29 by the previous result. d = 5.29/2.3225 = 2.2777179763.
Average this value (d) with that of step 2: (2.2777179763 + 2.3225)/2 = 2.3001089882 (new guess).
Error = new guess - previous value = 2.3225 - 2.3001089882 = 0.0223910118.
0.0223910118 > 0.01. As error > accuracy, we repeat this step again.
Step 4:
Divide 5.29 by the previous result. d = 5.29/2.3001089882 = 2.299891017.
Average this value (d) with that of step 3: (2.299891017 + 2.3001089882)/2 = 2.3000000026 (new guess).
Error = new guess - previous value = 2.3001089882 - 2.3000000026 = 0.0001089856.
0.0001089856 <= 0.01. As error <= accuracy, we stop the iterations and use 2.3000000026 as the square root.
So, we can say that the square root of 5.29 is 2.3 with an error smaller than 0.01 (in fact the error is 0.0001089856). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5.29)' is 2.3.
Note: There are other ways to calculate square roots. This is only one of them.
Normal:
The square root of 5.29 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.3.
The square root of 5.29 can be written as (5.29)1/2. So,
(5.29)1/2 = (2.3 × 2.3)1/2
(5.29)1/2 = [(2.3)2]1/2
(5.29)1/2 = (2.3)2/2
(5.29)1/2 = (2.3)1
Thus,
√5.29 = 2.3
A die is rolled twice. What is the probability of showing a 4 on both rolls?
Answer:
1/36
Step-by-step explanation:
So what you have to do is take all the numbers on the dice. Getting a 4 would be a 1 in 6 (1/6) chance, but then you take the risk of rolling again and trying to get another 4. Nothing changes with the amount of sides, so it would just be another 1/6 change to get the 4. Then, you have to multiply the two changes together. SO 1/6 x 1/6 = 1/36. It is a 1/36 chance to role a 4 on both roles.
The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]. Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex].
The probability of the first throw [tex]4[/tex] is [tex]\frac{1}{6}[/tex].
And on the second throw is [tex]\frac{1}{6}[/tex].
For both, the throws probability [tex]4[/tex] would be
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{36}[/tex]
Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
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solve pls brainliest
Step-by-step explanation:
2715-1196=1519
-194+121=-73
PLEASE HELP WITH THIS ONE QUESTION
Step-by-step explanation:
thanks for the 5 points
......
Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?
Answer:
14 batches
Step-by-step explanation:
take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17
85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17
so 14 full batches
Margo borrows $1100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay?
Answer:
I'm guessing you mean 1% annual interest per month, so she would have to pay 11 dollars each month meaning she will pay 66 dollars in interest.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
A theme park has a Ferris wheel that takes 2 minutes to go around its 450-foot circumference. The equation · (130) = 450 relates the speed of the Ferris wheel to its circumference. What exactly does represent?
Answer: The Ferris wheel’s speed in feet per hour.
Step-by-step explanation:
Pam is baking cupcakes. The recipe calls for 4 cups of sugar, She already put in 3 cups. How many more cups does she need to put in?
(write the equation use "n" as your variable"
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What is the HCF of two consecutive odd numbers?
Answer :
1 one, it's one hoped this help !
The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
Pythagorean theorem digital escape can you find the length and area and type the correct code?
The length of TU in the right triangle is 156.15 m.
The area of the rectangle is 12335.85 m²
The length of GH in the right triangle is 182.33 m
The area of the triangle is 8934.17 m²
Right angle triangleRight angle triangle are triangle that has one of its angle as 90 degrees. The sides of the triangle can be found using Pythagoras theorem. Therefore, using Pythagoras theorem,
TU² = 175² - 79²
TU² = 30625 - 6241
TU² = 24384
TU = √24384
TU = 156.153770368
TU = 156.15 m
area of rectangle = lw
area of rectangle = 156.15 × 79
area of rectangle = 12335.85 m²
GH² = 207² - 98²
GH² = 42849 - 9604
GH² = 33245
GH = √33245
GH = 182.33211456
GH = 182.33 m
Area of the triangle = 1 / 2 bh
Area of the triangle = 1 / 2 × 98 × 182.33
Area of the triangle = 17868.34 / 2
Area of the triangle = 8934.17 m²
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17 21 14 17 12 15 16 mean
Answer:
17+21+14+17+12+15+16 / 7 and the answer is 16
Step-by-step explanation:
STEP N0#1 add all the data/ numbers together
STEP NO#2 divide the sum you got by the number of data points/ number
the number you get after dividing is the mean
CLASS 6 MATHS!!!! HELP ME PLEASE!!!!!!!
Step-by-step explanation:
[tex] \\ 20. \: \: ( \frac{ - 3}{4} )(4\frac{1}{6} )[/tex]
[tex] \\ = \frac{ - 3}{4} \times \frac{25}{6} [/tex]
[tex] \\ = \frac{ - 25}{8} [/tex]
[tex] \\ = - 3.125[/tex]
[tex] \\ 21. \: \: ( - 3\frac{7}{8} )( - 5\frac{3}{4} )[/tex]
[tex] \\ = \frac{ - 31}{8} \times \frac{ - 23}{4} [/tex]
[tex] \\ = \frac{713}{32} [/tex]
[tex] \\ = 22.28125[/tex]
The ratio of dogs to cats at the animal shelter is 4:5. if there are 20 cats, how many dogs are there?
Answer:
Ratio of cats to dogs is 4:5
Step-by-step explanation:
There are 20 dogs.
4:5=x:20
(5)(4)=20
(4)(4)=16
Answer: 16 cats
You can find the number of cats by using proportion
