Answer:
Width = 54.3 inches
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
Width² + Height² = Diagonal²
From the above question
Width= ??
Height = 30 inches
Diagonal = 62 inches
Width² + 30² = 62²
Width² = 62² - 30²
Width = √62² - 30²
Width =✓2944
Width = 54.258639865 inches
Approximately
Width = 54.3 inches
Hence, the new television was 54.3 inches wide.
the probability of randomly selecting a four-person committee consisting entirely of canadians from a pool of 11 americans and 18 canadian
Answer:
[tex]Probability =0.1744[/tex]
Step-by-step explanation:
Given
Total
[tex]American = 11[/tex]
[tex]Canadian = 18[/tex]
Selection
[tex]American = 0[/tex]
[tex]Canadian = 4[/tex]
Required
Determine the probability of selecting a 4 committee member that are Canadian.
First, we calculate total possible selection.
[tex]Total = American + Canadian[/tex]
[tex]Total = 11 + 18[/tex]
[tex]Total = 27[/tex]
Number of ways to select 4 from 27 is:
[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]
[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]
[tex]^{27}C_4 = \frac{421200}{24}[/tex]
[tex]^{27}C_4 = 17550[/tex]
Next, we calculate ways of selecting 4 Canadians from 18 is:
[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]
[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]
[tex]^{18}C_4 = \frac{73440}{24}[/tex]
[tex]^{18}C_4 = 3060[/tex]
The required probability is:
[tex]Probability =\frac{3060}{17550}[/tex]
[tex]Probability =0.1744[/tex]
Please help me answer this :)
Explain your answer
Will give brainiest
Are the two statements equivalent? Explain your reasoning.
The ratio of orange to blue is 3 to 4.
The ratio of blue to orange is 12 to 9.
Game Stop is selling a video game for 15% off $35.
Answer:
School related questions please
Step-by-step explanation:
And thanks for telling me
If Oscar the ostrich travels 105 miles in 3 hours on land, how fast does he travel?
Elias and Mark together have $756.80. Elias has $489.50. Write and solve an addition equation to determine how much money Mark (m) has.
Below, select the answer choice that includes both the correct ADDITION equation and the correct solution.
m - $489.50 = $756.80 ; m = $1246.30
m - $489.50 = $756.80 ; m = $1246.30
$756.80 + m = $489.50; m = $267.30
$756.80 + m = $489.50; m = $267.30
m + $489.50 = $756.80; m = $1246.30
m + $489.50 = $756.80; m = $1246.30
$489.50 + m = $756.80; m = $267.30
Answer:
489.5 + m = 756.80 (the amount elias has, added to marks is equal to the total
(756.8- 489.5 = 267.30 which is the amount mark has.)
m= 267.3
the last option is the correct option
Step-by-step explanation:
Answer: the answer is the last equation ($489.50 + m = $756.80; m = $267.30)
Step-by-step explanation:
I say this because all you have to do is subtract 756.80-489.50 to find out how much money Mark has. Thats how you get 267.30. Hope it helps
Solve.
X = -7
4x - 4y = 12
(x,y)
Answer:
(-7, -10)
[tex]x=-7\\y=-10[/tex]
Step-by-step explanation:
[tex]4x-4y=12[/tex]
Substitute x for -7.
[tex]4(-7)-4y=12[/tex]
Multiply 4 by -7.
[tex]-28-4y=12[/tex]
Add 28 on both sides.
[tex]-4y=40[/tex]
Divide -4 on both sides.
[tex]y=-10[/tex]
Simplify the following expression: 17 + 4w - 12 - w
Answer:
3w+5
Step-by-step explanation:
17+4w -12-w
I hope this help.Also if you have anymore problems with simplifying just visit this app : h t t p s : / / w w w . m a t h w a y . c o m / A l g e b r a
Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain
What is 66 2/3 % of 900 ?
Answer:
The answer is 600
In a football game, a team loses 8 yards, then loses 3 yards, then loses 11 yards.
What is overall change in the number of yards?
Answer:
the lost 22 yards altogether
they now have -22 yards i believe
Answer:
i think -22 might be the answer
Step-by-step explanation:
The sum of seven and the quotient of a number x and eight.
WILL GIVE BRAINLY What is 5x = 25??
Answer: x=5 bc 5 times 5 is 25
Ste-by-step explanation:
If the scale is 3 inches = 4 kilometers. What is the amount of inches in 5 kilometers?
A 3.75 inches
B 3.75 kilometers
C 6.333.... inches
D 6.333....Kilometers
Answer:
3.75 inches is the correct answer..
Answer:
A. 3.75 inches
Step-by-step explanation:
The question is asking for the amount of inches not kilometers, so options B and D are automatically incorrect. I took the three inches and divided it by the four kilometers to kind inches per kilometer. The times the inches by five to get the correct answer;
3 inches = 4 kilometers
3 / 4 = 0.75
0.75 = 1 kilometer
0.75 x 5 = 3.75
3.75 inches = 5 kilometers
I hope this helps!
5.) Which is the best description of the table
below?
A. Linear because there is a constant rate of change
B. Linear because the X values increase by 1 each time
C. Nonlinear because there is not a constant rate of change
D. Nonlinear because the X values are positive while the Y values are negative
Answer:
I'm not quite sure but I tink its A
Which number(s) below belong to the solution set of the equation? Check all that apply.
x + 10 = 40
A. 40
B. 80
C. 400
D. 4
E. 30
F. 50
Answer:
E only
Step-by-step explanation:
timed test
Which number has a 3 that is 10 times greater than the 3 in 513? (2 points) 5,130 51.3 5.13 51,300
Answer:
The correct answer should be 5,130
Step-by-step explanation:
the 3 in 513 is in the ones place, if it were ten times greater than 3 that would be 30, or a 3 in the tens place, the 3 in the number 5,130 is in the tens place, making that the correct choice
Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that
Alexi needs to pay?
O $58(0.20) + $58
O $58(0.20)
O $58(20) + $58
O $58(20)
Answer:
Here Is Your Answer $58(20)
What will 3/4 divided by 5 be
Answer:
3/20= .15
Step-by-step explanation:
;)
A ball is launched upward from the ground with an initial velocity of 20 ft/s. The height of the ball at time t is represented by the function h(t) h(t) = -1612 + 20t, where t is measured in seconds and h(t) is measured in feet Drag the values to the lines to complete each sentence. The ball reaches its maximum height when t is seconds. The maximum height of the ball is feet. The balls hits the ground when tis seconds.
Answer:
its 5 seconds
Step-by-step explanation:
hope it helps not like that other guy
7.5 divided by 46.75
Answer:
1
Step-by-step explanation:
pls help, it would mean the most!!!
Answer:
c. it show it to be portioned
What is an equation of the line that passes through the point
(
1
,
7
)
(1,7) and is parallel to the line
3
x
−
y
=
1
3x−y=1?
Step-by-step explanation:
We wish to express 3x - y = 1
in slope-intercept form.
3x - y = 1
=> y = 3x - 1
Slope of line = 3, therefore
Slope of parallel line is also 3.
We have y = 3x + c.
When x = 1, y = 7.
=> (7) = 3(1) + c, c = 4
Hence the answer is y = 3x + 4.
Find an ordered pair ( x , y ) that is a solution to the equation. -x + 3y = 2
Answer:
(-2,0)
(4,2)
etc..
Just substitution required!
Solve for x.
-1+4x5= 3
Answer:
[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]
Step-by-step explanation:
[tex] - 1 + 4x.5 = 3[/tex]
[tex] = > 20x - 1 = 3[/tex]
[tex] = > 20x = 3 + 1 = 4[/tex]
[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]
Write an expression to show "5 less than y, plus g."
Answer:
(y-5)+g
Step-by-step explanation:
Answer:
y-5+g
Step-by-step explanation:
hope this helps
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)
y = 32,000(1.08)x
y = 32,000(0.08)x
y = 34,560(1.08)x
y = 34,560(0.08)x
Answer:
I THINK UTS A y = 32,000(1.08)x
Step-by-step explanation:
Answer:
TS A y = 32,000(1.08)x
Step-by-step explanation:
Mrs. Jones purchased 6.2 pounds of ground beef. She cooked 0.5 of the ground beef. How many pounds of ground beef did she cook?
Answer:
She cooked 3.1 pounds
Step-by-step explanation:
6.2 x 0.5 = 3.1
can you help me with something
Answer:
139,488 miles
Step-by-step explanation:
5182×24 = 139,488
Answer:
its the first one
Step-by-step explanation:
5812 x 24 i just looked that up and got the anwser
I need answers for all the questions read the directions