192 because if you put 24 into 8 groups there are 192
∠A and ∠B are supplementary angles. If
m ∠A =
(6x + 10)° and m ∠A = (4x + 30)°, then find the measure
of ∠B
Answer:
∠B = 86°
Step-by-step explanation:
Given ∠A and ∠B are supplementary angles.
That is , ∠A + ∠B = 180°
( 6x + 10)° + ( 4x + 30)° = 180°
6x + 10 + 4x + 30 = 180
10x + 40 = 180
10x = 180 - 40
10x = 140
x = 14
Therefore, ∠A = (6x + 10) ° = (( 6 x 14) + 10)° = 94°
∠ B = ( 4x + 30)° = (( 4 x 14) + 30)° = 86°
A fair six-sided die is thrown four times Find the probability, correct to three decimal places, of getting
i) exactly one six occurs
ii) at least one six occurs
Answer:
I) 0.386 = 38.6% probability that exactly one six occurs.
II) 0.518 = 51.8% probability that at least one six occurs.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a six, or it is not. The probability of a six being rolled is independent of other throws, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Thrown four times
This means that [tex]n = 4[/tex]
Probability of rolling a six:
Six sides, one of which is 6. So
[tex]p = \frac{1}{6} = 0.1667[/tex]
i) exactly one six occurs
This is [tex]P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1667)^{1}.(0.8333)^{3} = 0.386[/tex]
0.386 = 38.6% probability that exactly one six occurs.
ii) at least one six occurs
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.1667)^{0}.(0.8333)^{4} = 0.482[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.482 = 0.518[/tex]
0.518 = 51.8% probability that at least one six occurs.
Given the linear equation 3x + y = 5, find the slope of its graph
A) -5
B) -3
C) 3
D) 5
Which is the correct answer
Answer:
B) -3
Step-by-step explanation:
1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.
2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. [tex]y=-3x+5[/tex]
3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!
Answer:
Answer is B
Step-by-step explanation:
if you add 3x +y = 5 and work throu
Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and her
overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelle
earn each week? Round to the nearest penny.
O $1,353.78
$1,393.88
$1,423,68
o $1.453.68
9514 1404 393
Answer:
(b) $1,393.88
Step-by-step explanation:
For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...
47.75 hours + (7.75 hours)/2 = 51.625 hours
That pay is ...
(51.625 h)($27/h) = $1393.88
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?[plz help mee!!]
Answer:
a = 137.6
Step-by-step explanation:
The building and the street make a 90 degree angle. You have the length b, which is the height 1,484ft. The angle B 84.7 is created where he stands and looks up.
First, find the missing hypotenuse, c. Your angel A is 180 - 90 -84.7 = 5.3
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin( B)=opp/hyp
sin(84.7) = 1484 / c
c = 1484/sin(84.7)
c=1490.37
Find the last side of the triangle, in this case the distant from Leo to the building, using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} = c^{2} -b^{2} \\a^{2} =1490.37^{2} -1484^{2} \\a=137.6[/tex]
Help out omggggg !!!!!!
Answer:
sorry the diagram is not clear......
Which function, g or h, is the inverse function for function ƒ?
Answer:
B.
Step-by-step explanation:
Remember that graphically, a function and its inverse are reflections over the line y = x.
Given the graph of f, we see that h is not a reflection over the line y = x. So, we can eliminate choices A and C.
Function g is indeed a reflection of y over the line y = x. A function and its inverse is not its reflection over the x-axis so D is incorrect.
Hence, our answer is B.
Answer:
The answer is B. " the function g because the graphs of ƒ and g are symmetrical about the line y = x"
A cone has a height of 20 yards and a radius of 20 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
8377.6 yards
Step-by-step explanation:
The formula for the volume of a cone is V=1/3hπr²
then ->
[tex] \frac{1}{3} \times 20 \times \pi \times {20}^{2} = \frac{8000}{3} \pi = 8377.58041 \: yards[/tex]
A sled is moving down a steep hill in a straight line. At time ts, the
acceleration of the sled is ams-2 where a = 1/500(20t^2-t^3), 0 < t < 20. When t = 0
the sled is at rest at the top of the hill. Find the distance the sled travels in
the first 10 s of its motion.
Acceleration is the rate of change of velocity over time
The sled travels 100 meters in the first 10 seconds of its motion
How to determine the distanceThe acceleration function is given as:
[tex]a = \frac 1{500}(20t^2 - t^3)[/tex]
When t = 10, we have:
[tex]a = \frac 1{500}(20*10^2 - 10^3)[/tex]
[tex]a = 2[/tex]
The distance at 10 seconds is then calculated as;
[tex]S = ut +\frac 12 at^2[/tex]
Where:
u = initial velocity = 0
So, we have:
[tex]S = 0 *10 +\frac 12 * 2 * 10^2[/tex]
[tex]S =100[/tex]
Hence, the sled travels 100 meters in the first 10 seconds of its motion
Read more about acceleration at:
https://brainly.com/question/605631
The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401
Answer: L = 4 + w
A = 2P - 4
lw = 2(2l +2w) - 4
lw = 4(l + w) - 4
(w+4)w = 4 ( w+4+w) -4
(w +4)w = 4(2w + 4) - 4
w^2 + 4w = 8w + 16 - 4
w^2 + 4w = 8w + 12
w^2 - 4w - 12 = 0
( w - 6 )( w + 2 ) = 0
w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60
w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected
Step-by-step explanation:
Why should you avoid investing all your money in familiar stocks?
A.
to increase the value of your returns
B.
to research unfamiliar industries that might reveal good investment opportunities
C.
to avoid selling at a loss
D.
to avoid diversifying into multiple investment options
Answer:
B.
Step-by-step explanation:
The main reason for this is to research unfamiliar industries that might reveal good investment opportunities. When you conform to what you know, you fall into a comfort zone. This prevents you from taking the time to investigate and learn new things. In this scenario, investing everything in familiar stocks will prevent you from looking for new investment options in different industries which could have led to incredible investment opportunities. Therefore, it is a better choice to invest a large portion in safer familiar stocks but leave a certain percentage for riskier and newer investments.
Answer:
Why should you avoid investing all your money in familiar stocks?
A.
to increase the value of your returns
B.
to research unfamiliar industries that might reveal good investment opportunities
C.
to avoid selling at a loss
D.
to avoid diversifying into multiple investment options
Step-by-step explanation:
Can somebody solve this?
Answer:
∠ABC = 46°
Step-by-step explanation:
DB and BC are of same length (radius), making it an isosceles triangle.
The base of the triangle is the same at 23°, a total of 46°.
180° - 46° = 134°
But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.
Therefore, 180° - 134° = 46°
What is the mean of the following data values?
22, 37, 49, 15.92
Answer:
30.98
Step-by-step explanation:
To solve for the mean/average of a set of numbers, you add them and divide by the number of numbers/data values.
(22+37+49+15.92)/4 = 123.92/4 = 30.98
Hope this helps and sorry if I made a mistake. :)
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
x 11 12 4 6 13 14 8 10 7 5 9
y 18.69 19.17 6.13 11.37 19.31 19.31 15.28 17.88 13.49 8.91 16.75
Required:
Create a scatterplot of the data.
Answer:
Ŷ = 1.3082X + 3.3436
Step-by-step explanation:
Given the data :
X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9
Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75
Using technology, the data above gave the resulting linear regression model :
Ŷ = 1.3082X + 3.3436
Slope of model = 1.3082
Intercept = 3.3436
Scatter plot is attached below :
A fruit punch that contains 10% fruit juice is combined with 100% fruit juice. How many ounces of each should be used to make 51oz of a mixture that is 70% fruit juice?
9514 1404 393
Answer:
34 oz 100%17 oz 10%Step-by-step explanation:
Let j represent the number of ounces of 100% juice in the mix. Then (51-j) is the number of ounces of 10% juice. The total amount of fruit juice in the punch mix is ...
1.00j + 0.10(51 -j) = 0.70(51)
0.90j = 51(0.70 -0.10) . . . . . . . . collect j terms, subtract 0.10(51)
j = 51(0.60/0.90) = 51(2/3) = 34 . . . . . . . divide by the coefficient of j
The mixture should use 34 ounces of 100% juice and 17 ounces of 10% juice.
Which function is an even function?
f is an even function if f(-x) = f(x)
f is an odd function, if f(-x) = -f(x)
[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]
Option B is an odd function
A coin is flipped 60 times and lands on heads 36 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?
Answer:
108
Step-by-step explanation:
200 divided by 60 equals 3 then 36 times 3 equals 108
Answer:
120 heads
Step-by-step explanation:
The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads
what is the answer?i need it bc im stuck
Answer:
steam iron = 41.25
t-shirts = 17.82
paintbrushes = 13.94
bags of pasta = 3.52
total = 76.53
Answer:
1. 17.82 2. 13.94 3. 3.52 4. 35.28
Step-by-step explanation:
Hope thishelps :)
100 Pts!! HELP ASAP!!!!!!!!!
Write the equation of the graph shown below in factored form.
A. f(x) = (x − 3)2(x + 2)(x − 1)
B. f(x) = (x + 3)2(x − 2)(x + 1)
C. f(x) = (x + 3)2(x + 2)(x + 1)
D. f(x) = (x − 3)2(x − 2)(x − 1)
Answer:
[tex]\text{D. }f(x)=(x-3)^2(x-2)(x-1)[/tex]
Step-by-step explanation:
The equation below shows three zeroes at [tex]x=1[/tex], [tex]x=2[/tex], [tex]x=3[/tex]. By definition, these values of [tex]x[/tex] must yield a y-value of zero. Since the function bounces off of [tex]x=3[/tex], there must be two occurrences of it.
Thus, the equation of this line, in factored form, is [tex]\boxed{f(x)=(x-3)^2(x-2)(x-1)}[/tex]
Case Study 2
Based on the success of their new treatment for sickle cell disease,
Amitye-Baane-Fortaleza research team decided to start a new company and
open a research center dedicated to curing diseases that disproportionately
affect Black people in the United States and around the world. They hired
an engineering and architecture firm called Bishapham-Cummins, Rice,
and Holloway LLC. They assigned their lead architects Fatoumata Sylla
and Leudy Tejada, along with lead engineers Jerome Wade, Neveah
Rodrigues and Jarell Hunte to design and build the new research center
based on the following square pyramid scale outline:
Answer:
good for them i think
Step-by-step explanation:
this doesnt make any sense
Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired. Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled.
A. 2520 ways
B. 24 ways
C. 504 ways
D. 6 ways
Answer:
Option c
Step-by-step explanation:
From the question we are told that:
Four accounting majors [tex]N_a=4[/tex]
Two economics majors [tex]N_e=2[/tex]
Three marketing majors [tex]N_m=3[/tex]
Total Applicants N_T=9
Generally the equation for Different ways that five of these could be hired is mathematically given by
[tex]X_5=^9P_5[/tex]
[tex]X_5=\frac{9!}{(9-5)!}[/tex]
[tex]X_5=15120[/tex]
Generally the equation for Different ways that Three of these could be hired is mathematically given by
[tex]X_3=^9P_3[/tex]
[tex]X_3=\frac{9!}{(9-5\3)!}[/tex]
[tex]X_3=504 ways[/tex]
Option c
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Step-by-step explanation:
Let the number of general tickets = g.
Let the number of reserved tickets = r.
6.5g + 8r = 3284
g + r = 436
6.5g + 8r = 3284
(+) -8g + -8r = -3488
--------------------------------
-1.5g = -204
g = 136
g + r = 436
136 + r = 436
r = 300
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Answer:
136 general admission tickets were purchased
300 upper reserved tickets were purchased
Step-by-step explanation:
This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:
[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]
Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:
[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]
Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:
[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
2
Step-by-step explanation:
Given the nth term equation:
C(n) = - 6(-1/3)^(n-1)
The 2nd term :
C(2) = - 6(-1/3)^(2-1)
C(2) = - 6(-1/3)^1
C(2) = - 6(-1/3)
C(2) = - 6 * - 1/3
C(2) = 2
Find the value of x.
Answer:
[tex]4/12=x/18[/tex]
[tex]x=4*18/12[/tex]
[tex]x=6[/tex]
--------------------------
hope it helps...
have a great day!!
The length of a rectangle is four times the width. If the area of the rectangle is 36
square inches, then find the length and width.
Answer:
36÷12=3
12×3=36
Length is 12
Width is 3
(d) 4 – 0.2 x (0.4 + 0.7)
Answer:
4d - 0.22
Step-by-step explanation:
please answer question 9 and 11
Answer:
9) 5888
11) ?
Step-by-step explanation:
9) Formula = l x w x h / 3
16 * 24 * 46 / 3 = 5888
Volume = 5888, no units
I can't help with 11, im confused, sorry but hope it helps.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
−8x − 6y = 24
Find the x−and y−intercepts.
Answer:
y = − 4 + 4 x 3
x = − 3 − 3 y 4
i will mark brainliest please help me on this question!
Answer:
C
Step-by-step explanation:
You can determine this by the third and fourth quartiles.
Answer:
C
Step-by-step explanation:
1,4,4,9,10,10,14
We know the smallest number is 1 and the largest number is 14, so they are left and right whiskers
1,4,4, 9, 10,10,14
The middle number is the 4th number, which is 9 so it is the middle number of the box
Taking the numbers on the left
1,4,4
The middle number is 4 so it is the left hand side of the box
Taking the numbers on the right
10,10,14
10 is the middle number so it is the right hand side of the box
What is the value of this number in decimal form?
Three hundred sixty-seven thousandths.
Answer:
306+7÷100=306.07 that is the answer