What is the measurement of the unknown angle?
Answer:
93 degrees
Step-by-step explanation:
To find the angle, we need to find the angles inside of the triangle. The triangle is formed from the two lines with angles 127 and 146 at the base. It is surrounded by the 127, 146 and the ? angle.
We know that the line at the base is 180, so we need to find the supplementary angles that correspond to 127 and 146.
180-127= 53
180-146=34
We now know the two bottom angles inside the triangle are 53 and 34 degrees. The angles in a triangle always add up to 180 degrees.
180-53-34=93
We know the top angle is 93 degrees. The ? angle is vertical to 93. Vertical angles are always congruent. That means ? is 93 degrees
Answer:
93 degrees
Step-by-step explanation:
Focus on the small triangle at the lower right.
The supplement of the 127 degree angle is (180 - 127) degrees, or 53 degrees. The supplement of the 146 degree angle is (180 - 146) degrees, or 34 degrees.
The interior angles of this small triangle must add up to 180 degrees. The third angle of this small triangle is the "vertical angle" of the unknown angle:
? + 53 + 34 = 180, so: ? = 93
The unknown angle is now known to be 93 degrees.
A pollster uses a computer to generate 500 random numbers and then interview the voters corresponding to those numbers. identify the type of sampling used in this example sampling
a. stratified sampling
b. systematic sampling
c. cluster sampling
d. simple random sampling
Answer: D. Simple Random Sampling
Step-by-step explanation: When selection is made or based on chance which is equal or the same for all members within a population. In the scenario described above, there is no prior shuffling, arrangement or segregation of members within the population into groups or subgroups, rather the interviewed voters were chosen at random directly from within the larger population based on equal chance. Therefore voters already have their numbers, then using a random number generator, voters whose number corresponds were interviewed is a clear scenario of simple Random Sampling.
Using sampling concepts, it is found that the correct option is:
d. simple random sampling
Samples are classified as:
Convenient: Drawn from a conveniently available pool. Random: All the options into a hat and drawn some of them. Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed. Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, a random number is generated to select each voter, hence it is a simple random sampling, and option d is correct.
To learn more about sampling concepts, you can take a look at https://brainly.com/question/25122507
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x2 − 1)3, [−1, 2]
Given :
[tex]F(x)=3(x^2-1)[/tex]
To Find :
the absolute minimum and absolute maximum values of f on the given interval
[-1,2] .
Solution :
Now , getting first order differential equation and equating its equal to zero.
[tex]\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0[/tex]
So , x=0 is critical point .
Now , coefficient of [tex]x^2[/tex] is positive .
Therefore , it is increasing function after x=0 .
So , min value will be at , x=0.
[tex]Min = (0^2-1)\times 3=-3[/tex]
And maximum value will be the maximum at the x=2 because it is increasing function .
[tex]Max=(2^2-1)\times 3=9[/tex]
Therefore , max and min value is 9 and -3 respectively .
Hence , this is the required solution .
A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
punctures the bike's tire. After the bike has moved forward another 56 inches, how high above the ground is the
screw? Round to the nearest tenth of an inch.
O 4 inches
O 8 inches
O 12 inches
O 16 inches
Answer:
16 inches
Step-by-step explanation:
Note: it should say 56π inches instead of 56 inches otherwise no option is correct
Given
Diameter of the wheel = 16 inFull circumference of the wheel
C =πd = 16πBike moves
56πThe wheel turns:
56π /16π = 3.5 timesWe only consider her 0.5 of full turn of the wheel to identify the screw position
Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.
This is the full diameter length, which is 16 inches
So correct answer option is 16 inches
What is the new coordinate for point S' when the figure is reflected over the line y=x HINT: (just switch the x and y coordinates of the points)
Answer: (1, -2)
Step-by-step explanation:
The original coordinate of S is (-2, 1)
As mentioned, also in the hint, exchange the position of x and y coordinate to get the new coordinate that is reflected after y=x
(basically in the 4th quadrant)
The new coordinate of S' is (1, -2)
Hope this helps!! :)
Please let me know if you have any question
what’s 63.55+31.99+2
Answer:97.54
Step-by-step explanation:
Answer:
97.54
Step-by-step explanation:
1 1
63.55
31.99
+ 2.00
________
97.54
6x + 3x =
combine like terms
Answer:
9x
Step-by-step explanation:
6x + 3x
6 + 3 = 9
add the x and you get 9x
i hope this helps
Answer:
6x + 3x = 9x
Step-by-step explanation:
6 and 3 have the same coefficient meaning you can combine them and add them to get 9x.
7m+11=-4(2m+3) answer
Answer:
See below.
Step-by-step explanation:
So we have the equation:
[tex]7m+11=-4(2m+3)[/tex]
Distribute the right:
[tex]7m+11=-8m-12[/tex]
Add 12 to both sides:
[tex]7m+23=-8m[/tex]
Subtract 7m from both sides:
[tex]23=-15m[/tex]
Divide by -15:
[tex]m=-23/15\approx-1.5333[/tex]
X and Y are modeled inflation rates, in terms of %, for two different countries at the end of a five-year period. X is uniformly distributed on the interval (0, 10). Y, given X = x is uniformly distributed on the interval (0, x). Calculate Cov(X, Y).
Answer:
The value of Cov (X, Y) is 25/6.
Step-by-step explanation:
It is provided that:
[tex]X\sim U(0,10)\\\\Y|X\sim U(0,x)[/tex]
The probability density functions are as follows:
[tex]f_{X}(x)=\left \{ {{\frac{1}{10};\ 0<X<10} \atop {0;\ \text{otherwise}}} \right. \\\\f_{Y|X}(y|x)=\left \{ {{\frac{1}{x};\ 0<Y<x} \atop {0;\ \text{otherwise}}} \right.[/tex]
Then the value of f (x, y) will be:
[tex]f_{X,Y}(x,y)=\left \{ {{\frac{1}{10x};\ 0<X<10,\ 0<Y<x} \atop {0;\ \text{Otherwise}}} \right.[/tex]
Then f (y) is:
[tex]f_{Y}(y)=\int\limits^{10}_{y} {\frac{1}{10x}} \, dx[/tex]
[tex]=\frac{1}{10}\times [\log x]^{10}_{y}\\\\=\frac{1}{10}[\log 10-\log y][/tex]
Compute the value of E (X) as follows:
[tex]E(X)=\frac{b+a}{2}=\frac{10+0}{2}=5[/tex]
Compute the value of E (Y) as follows:
[tex]E(Y|X)=\frac{b+a}{2}=\frac{x+0}{2}=\frac{x}{2}\\\\\text{Then,}\\\\E(E(Y|X))=E(\frac{x}{2})\\\\E(Y)=\frac{1}{2}\times E(X)\\\\E(Y)=\frac{5}{2}[/tex]
Compute the value of E (XY) as follows:
[tex]E(XY)=\int\limits^{10}_{0}\int\limits^{x}_{0} {xy\cdot \frac{1}{10x}} \, dx dy[/tex]
[tex]=\int\limits^{10}_{0}\int\limits^{x}_{0} {\frac{y}{10}} \, dx dy\\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{y^{2}}{2}}|^{x}_{0} \, dx \\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{x^{2}}{2}}\, dx\\\\=\frac{1}{10}\times [\frac{x^{3}}{6}]^{10}_{0}\\\\=\frac{100}{6}\\\\=\frac{50}{3}[/tex]
Compute the value of Cov (X, Y) as follows:
[tex]Cov (X, Y)=E(XY)-E(X)E(Y)[/tex]
[tex]=\frac{50}{3}-[5\times\frac{5}{2}]\\\\=\frac{50}{3}-\frac{25}{2}\\\\=\frac{100-75}{6}\\\\=\frac{25}{6}[/tex]
Thus, the value of Cov (X, Y) is 25/6.
The sum of three numbers is 52. The third number is 2 times the first. The second number is 8 less than the first. What are the numbers?
Answer:
3rd number = 30
2nd number = 7
1st number = 15
Step-by-step explanation:
(T) total of three numbers = 52
let 3rd number = 2 x
let 2nd number = x - 8
let 1st number = x
T = 1st + 2nd + 3rd
52 = 2x + (x - 8) + x
52 + 8 = 4x
60 = 4x
x = 60 / 4
x = 15
therefore,
let 3rd number = 2 (15) = 30
let 2nd number = 15 - 8 = 7
let 1st number = 15
Answer:
3rd = 30
2nd = 7
1st = 15
Step-by-step explanation:
(T) total = 52
3rd = 2 x
2nd = x - 8
1st = x
T = 1st + 2nd + 3rd
52 = 2x + (x - 8) + x
52 + 8 = 4x
60 = 4x
x = 15
so
3rd = 2 (15) = 30
2nd = 15 - 8 = 7
1st = 15
Simplify 9v + 9 + v + v when v=5
[tex]11v+9=11\cdot5+9=55+9=64[/tex].
Hope this helps.
Answer:
64
Step-by-step explanation:
9v + 9 + v + v
Combine like terms
11v+9
Let v = 5
11*5+9
55+9
64
Square root of 50, square root of 49, and square root of 63. Order the expressions from least to greatest.
Answer:
[tex] \sqrt{49} \\ \sqrt{50} \\ \sqrt{63} [/tex]
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} = 7.07 [/tex]
[tex] \sqrt{49} = 7[/tex]
[tex] \sqrt{63} = 3 \sqrt{7} = 7.94[/tex]
What number makes the equation true 9= 18 ÷?
Answer:
2
Step-by-step explanation:
9= 18 ÷x
Multiply each side by x
9x = 18
Divide each side by 9
9x/9 = 18/9
x = 2
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]9=18[/tex] ÷ [tex]?[/tex]
Let's solve your equation and make it true.
[tex]9+9=18[/tex]
Since we added 9 twice, it would be *2. So now it would be 9*2 = 18. So 18 divided by 9 would be 2.
So, [tex]9=18[/tex] ÷ [tex]2[/tex]
So now you got your answer!
Hope this helps!
The ratio of yes votes to no votes was 4 to 7. If there were 4746 no votes, what was the total number of votes?
Answer:
7458
Step-by-step explanation:
I hope this helps you
What is the next number in the sequence below.
216, 72, 24,
The next number in the sequence is 8
ONLY NEED TO DO 6, 8, 10, 12, 14.
Answer:
6 = (2,2)8 = (0, -6)10 =(13,-6)Step-by-step explanation:
[tex]Midpoint = (\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} )\\[/tex]
6.
[tex](5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left(\frac{-1+5}{2},\:\frac{-4+8}{2}\right)\\\\Midpoint =( \frac{4}{2} , \frac{4}{2} )\\\\Midpoint = ( 2 , 2)[/tex]
8.
[tex](-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left(\frac{3-3}{2},\:\frac{-5-7}{2}\right)\\ \\Midpoint = (\frac{0}{2} , \frac{-12}{2} )\\\\Midpoint = ( 0, -6)[/tex]
10.
[tex]L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = \frac{x_2+x_1}{2}\\ 2 = \frac{x_2 +(-9)}{2}\\ 2 = \frac{x_2-9}{2}\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = \frac{y_2+y_1}{2}\\ -1 = \frac{y_2 +4}{2} \\-1 \times 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\[/tex]
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses $3.50 for each 30-day period it is not used. Write an equation for the number of 30-day periods until the value of the gift cards will be equal. Let x represent the number of 30-day periods.
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
1. Calculate your total revenue for the summer at each price. w a. $25.00 per lawn x 35 lawns per weekx 12 weeks = b. $30.00 per lawn x 20 lawns per weekx 12 weeks = c. $35.00 per lawn x 5 lawns per weekx 12 weeks =
Step-by-step explanation:
Average Cost to Mow a Lawn Per Square Foot
Most mowing pros do not charge by the square foot. For smaller properties, expect to pay between $0.01 and $0.04 per square foot.
National Average: $132
Typical Range: $49 - $219
Low End - High End: $30 - $520
I need to transform this into a expression with a rational exponent but how?
Answer:
x^ (21/5)
Step-by-step explanation:
[tex]\sqrt[5]{x ^7}[/tex] ^ 3
Rewriting as a fraction
x ^ 7/5 ^3
We know that a ^b^c = a^ ( b*c)
x ^ ( 7/5 *3)
x^ (21/5)
Answer: That would be x and 21/5 ths
Step-by-step explanation:
You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. Three times, you randomly pick up a drink for your grandmother. The first time, you get a Dr. Pepper. The second and third times, you get Cherry Coke. What is the probability of getting Dr. Pepper the fourth time and then an Dr. Pepper the fifth time without replacement?
Answer:
[tex]Probability = \frac{18}{1860480}[/tex]
Step-by-step explanation:
Given
Soda = 10
Sprite = 4
Dr. Pepper = 3
Cherry Coke = 3
Required
Determine the probability of picking Dr. pepper the fourth and fifth
First, we need to sum up the number of drinks
[tex]Total = 10 + 4 + 3 + 3[/tex]
[tex]Total = 20[/tex]
First Selection: Dr. Pepper
[tex]P_1= \frac{3}{20}[/tex]
Since its probability without replacement;
At this stage: Dr. Pepper = 2 and Total = 19
Second Selection: Cherry Coke
[tex]P_2= \frac{3}{19}[/tex]
At this stage: Dr. Pepper = 2; Cherry Coke = 2 and Total = 18
Third Selection: Cherry Coke
[tex]P_3= \frac{2}{18}[/tex]
[tex]P_3= \frac{1}{9}[/tex]
At this stage: Dr. Pepper = 2; Cherry Coke = 1 and Total = 17
Fourth Selection: Dr. Pepper
[tex]P_4= \frac{2}{17}[/tex]
At this stage: Dr. Pepper = 1; Cherry Coke = 1 and Total = 16
Fifth Selection: Dr. Pepper
[tex]P_5= \frac{1}{16}[/tex]
Multiply the calculated probabilities, to give the required probability
[tex]Probability = P_1 * P_2 * P_3 * P_4 * P_5[/tex]
[tex]Probability = \frac{3}{20} * \frac{3}{19} * \frac{1}{9} * \frac{2}{17} * \frac{1}{16}[/tex]
[tex]Probability = \frac{3 * 3 * 1 * 2 * 1}{20 * 19 * 18 * 17 * 16}[/tex]
[tex]Probability = \frac{18}{1860480}[/tex]
there is a box in your attic with 3 books 4 dolls and 16 candles what is the ratio of candles to books
Answer:
the answer would be 16 to 3 which can also be shown as 16:3
Step-by-step explanation:
this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next
What is the value oft in the easton below
--3-(-8)-(-2)
Answer:
-13
Step-by-step explanation:
Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 3.9288. 6.2597 is the standard deviation of the second sample.
Answer:
F test = 2.54
Step-by-step explanation:
We are given two samples
Standard deviation of the first sample = 3.9288
Standard deviation of the second sample = 6.2597
F test statistic = Variance of the Larger sample/ Variance of the smaller sample
Variance = (Standard deviation)²
Variance for the first sample = 3.9288²
= 15.43546944
Variance for the second sample = 6.2597² = 39.18384409
F test = 39.18384409/15.43546944
= 2.5385586258
Therefore, the F test approximately = 2.54
Answer:
2.539
Step-by-step explanation:
Standard deviation of sample 1 = 3.9288
Standard deviation of sample 1 = 6.2597(
Standard deviation = √variance
Variance = (standard deviation)^2
Variance of sample 1 = (3.9288)^2 = 15.43546944
Variance of sample 2 = (6.2597)^2 = 39.18384409
For two samples:
F stat = (variance 1) / (variance 2)
Since the variance of sample is large, we place it in th e numerator
F stat = (39.18384409) / (15.43546944)
F stat = 2.5385586
F stat = 2.539
the theoretical probability choosing a purple marble out of a 2/3 bag is. The bag has 16 purple marbles. How many marbles are in the bag?
Answer:
24 marbles
Step-by-step explanation:
P( purple) = 2/3 = purple/total
2/3 = 16/total
Using cross products
2 * total = 3 *16
2 * total = 48
total = 24
There are 24 marbles
Y+v=w, for V
Please help me
Answer:
v=w/y
Step-by-step explanation:
If w=y+v, and solving for v, then simply just divide both sides by y, and you get v=w/y.
what type of number is -1.48298
ALGEBRA 2!!! SEND HELP!!! PLS!!!
Answer:
The answer is B.
Step-by-step explanation:
HOPE THIS HELPS U!!!
Over the past several months, the water level of a lake has been decreasing by 3% each week. If the highest water level before the decrease started was 520 ft, what was the level at the end of 8 weeks?
Answer:
y= 407.54654 ft
Step-by-step explanation:
This is an exponential decay functions
y = ab^x where a is the initial value and b is ( 1 - rate of decay)
a = 520
b = 1- 3%
y = 520 ( 1- .3) ^x
y = 520 ( .97) ^x
We want x to be 8 weeks
y = 520 ( .97) ^8
y= 407.54654 ft
Try to calculate the arc elasticity percentage change from 80 to 100. Input your answer in percent form.
Answer: the arc elasticity percentage change from 80 to 100 is 22%
Step-by-step explanation:
formula for arc-elasticity percentage change is given as;
{ [Xₙ - X₀] / [ (X₀+Xₙ) / 2] } × 100
X₀ is old value, Xₙis new value
Now from our question
old value X₀ = 80
new value Xₙ = 100
WE SUBSTITUTE
Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } × 100
Arc-Elasticity = { [20] / [ 180 / 2] } × 100
Arc-Elasticity = (20/90) × 100
Arc-Elasticity = 22.22 ≈ 22%
Therefore the arc elasticity percentage change from 80 to 100 is 22%
In this exercise we have to use the percentage knowledge, in order to calculate the arc elasticity, so:
the arc elasticity percentage is 22%
First, we have that the formula for the elastic arc is:
[tex]([X_n - X_0] / [ (X_0+X_n) / 2] } * 100[/tex]
X₀ is old value, Xₙis new value
Informed the exercise data as:
old value X₀ = 80 new value Xₙ = 100
Substituting the values in the formula given above, we find that:
[tex]Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } * 100\\Arc-Elasticity = { [20] / [ 180 / 2] } * 100\\Arc-Elasticity = (20/90) *100\\Arc-Elasticity = 22%[/tex]
See more about percentage at brainly.com/question/1691136
A certain element has a half life of 2.5 billion years. a. You find a rock containing a mixture of the element and lead. You determine that 45% of the original element remains; the other 55% decayed into lead. How old is the rock? b. Analysis of another rock shows that it contains 65% of its original element; the other 35% decayed into lead. How old is the rock?
Answer:
Step-by-step explanation:
For a first order decay, fraction remaining = 0.5n where n = number of half lives elapsed.
fraction remaining = 55% = 0.55
0.55 = 0.5n
log 0.55 = n log 0.5
-0.2596 = -0.301 n
n = 0.8625 = # of half lives elapsed
0.8625 half lives x 2.5 billion years/half live = 2.16 billion years have elapsed = age of the rock
b) 0.15 = 0.5n
log 0.15 = n log 0.5
-0.824 = -0.301 n
n = 2.74 half lives
2.5 billion years/half life x 2.74 half lives = 6.85 billion years = age of rock