Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
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5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,
Answer:
what are you supposed to do here?
Step-by-step explanation:
Need as soon as possible
Answer: 136 square feet
=======================================================
Explanation:
The front face is a triangle with base 6 and height 4.
The area is 0.5*base*height = 0.5*6*4 = 12 square feet
The back face is also 12 square feet since the front and back faces are identical triangles.
So far we have 12+12 = 24 square feet of surface area.
--------------------
The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.
To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.
This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.
So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.
A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the following probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7
Distribution table :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
Answer:
1.85 ; 1.014 ;` 0.55 ; 3.042
Step-by-step explanation:
Probability distribution :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
The mean: E(x) = Σ(X * p(x))
(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)
= 1.85
Standard deviation = sqrt(Var(x))
Var(x) = Σ(x²*p(x)) - E(x)²
Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2
= 4.45 - 3.4225
= 1.0275
Standard deviation = sqrt(1.0275)
Standard deviation = 1.0136567
Standard deviation(X) = 1.014
3.)
Cost of spin = $5
Amount, y to be received = 3 times the number that appears
y = 3x - cost of playing
y = 3x - 5
E(y) = E(3x - 5)
E(y) = E(3x) - 5
Recall :E(x) = 1.85
E(y) = 3(1.85) - 5
E(y) = 0.55
Standard deviation :Sd(y) =
Sd(3x - 5)
3(1.014)
= 3.042
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
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I need help with this one
Answer:
Yes they are similar
Step-by-step explanation:
They have the same measurements adding up to 180.
Triangle RST angles are 120, 20, and 40
Triangle JKL angles are 120, 40, 20
Those are the same numbers.
WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
what is the circumference of a 12mm circle
Answer:
The circumference is 37.7 mm.
517 37/50 + 312 3/100
Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
Identify what property is 17 + 54 + 6?
Identity property
distributive property
commutative property
associative property
Given the test result, the probability that carbon emissions from the factory are actually within the permissible level is
.
Answer: 0.9132
Step-by-step explanation: PLATO
xy^2-x^2y
x= -1
y= -2
Answer:
xy(x-1y)
Step-by-step explanation:
xy^2-x^2y
=solution,
taking common
xy(x-1y)
Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012
Answer:
11
Step-by-step explanation:
I think if I am wrong I am sorry
The following stemplot displays the number of forest fires (the stem is in tens of thousands) that occurred each year over the period from 1980 to 2012.
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
How many data values are in this data set?
Answer:
32 values
Step-by-step explanation:
Given the stem. Plot :
STEM ___ Leaf
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.
The values are :
40, 42, 44, 44, 47, 47, 48,48, 49
50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,
60, 62, 63, 67, 68
73, 74, 78
Find 3.5% of 950 g.
Answer:
33.25 g
Step-by-step explanation:
Answer:
33.25 g
plz refer to the picture
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%
B.
8%
C.
15%
D.
18%
2/3 of a yard = ______ inches
Answer:
24 inches
Step-by-step explanation:
you're welcome
Shae is covering a wall in her bedroom with wallpaper. The measurement of the wall is 12 ft x 14 ft.
A roll of wallpaper covers 42 square feet. How many rolls should Shae purchase?
A. 4 rolls
B. 10 rolls
C. 12 rolls
D. 14 rolls
Answer:
4 rolls
Step-by-step explanation:
Area of the wall = 12 *14 = 168 square feet
1 roll = 42 square feet.
x roll = 168
1/x = 42/168 Cross Multiply
42x = 168 Divide by 42
x = 168/42
x = 4 rolls
Answer:
12 rolls
Step-by-step explanation:
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8
Answer:
1/8
Step-by-step explanation:
That's the same assignment I have and you just have to think it through mate.
Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >
Answer: 2 rays that meet an endpoint
It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?
Answer:
6 cupcakes or 6/10 or 3/5
Step-by-step explanation:
EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.
Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
igcwochcd chocho dhvohov dochvo
Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5
I need help with finding slopes from two points thank you
Answer:
i do believe the answer is 6/7
Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]
Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]
[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]
