Answer:
-32
Step-by-step explanation:
-1/4a-5=5-2
add 5 to both sides to cancel the negative five on the left side.
-1/4a-5+5=5-2+5
-1/4a=8
multiply the equation by -4 to get the a just by itself
-4(-1/4)a=8(-4)
a=-32
Hope that helps :)
A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what is the probability that they are of different color
Answer:
24/99
Step-by-step explanation:
From the question given above, the following data were obtained:
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
Probability that they are of different color =?
Next, we shall determine the total number of balls in the bag. This can be obtained as follow:
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
TOTAL = 4 + 5 + 2 = 11 balls
Next, we shall determine the possible outcome of draw. This can be obtained as follow.
The possible outcome could be:
WBLB or WBBL or BBLW or BWBL or BLBW or BLWB
Next we shall determine the probability of each of outcomes.
Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
TOTAL = 11
P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990
P(WBLB) = 4/99
P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990
P(WBBL) = 4/99
P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990
P(BBLW) = 4/99
P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990
P(BWBL) = 4/99
P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990
P(BLBW) = 4/99
P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990
P(BLWB) = 4/99
Finally, we shall determine the probability that they are of different color. This can be obtained as follow:
P(WBLB) = 4/99
P(WBBL) = 4/99
P(BBLW) = 4/99
P(BWBL) = 4/99
P(BLBW) = 4/99
P(BLWB) = 4/99
Probability that they are of different color =?
Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)
= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99
= (4 + 4 + 4 + 4 + 4 + 4)/99
= 24/99
Thus, the probability that they are of different color is 24/99
Which equation describes the line of best fit for the scatter plot?
A.) y=2.7x B.) y=2.7x-4 C.) y=0.37x D.) y=0.37x-4
which weighs more a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? note that 1 pound is about 0.45 kilograms
Answer:
Da watermelon
Carson is g years old Haley is 2 yrs younger then Carson. find the sum of their ages in terms of g
Answer:
2g-2
.....................
Answer
2g -2
Step-by-step explanation:
Carson is =gHarley = 2-gHelp me or the dirty dogo will steal your Laffy Taffy
Answer:
A D F
Step-by-step explanation:
i think
pls mark brainliest
ONE of Michael's birds came out of the cage and flew away.
What is the probability that a yellow bird flew away?
Give your final answer as a decimal number.
Answer:
100.0 bc it is ONE bird or 100%?????
Please help I will give brainliest
Answer:
A.
Step-by-step explanation:
Rectangle: Length * Width
—> 12 * 2 = 24
Triangle: Base * Height * 1/2
—> 12 * 2 * 1/2 = 12
Matches answer A.
Solve the system of equations. y = 7x - 53 y = -4x + 35 a. ( -3, -8) c. ( -8, 3) b. ( 8, 3) d. No solution Please select the best answer from the choices provided A B C D
Answer:
b. (8, 3)Step-by-step explanation:
[Linear System with Two Variables]
Given that:
y = 7x - 53y = -4x + 35(i) Find the value of x
Substitute the value of y in -4x + 35 with 7x - 53
Therefore we get
7x - 53 = -4x + 35-4x to the left side of "=" = + 4x
-53 to the right side of "=" = + 53
we get:
7x + 4x = 53 + 35
11x = 88
x = 8 ✅(ii) Find the value of y
y = 7x - 53
put x = 8 after the coefficient = 7
y = 7·8 - 53
y = 56 - 53
y = 3 ✅The value of (x, y) =
(8, 3) ✅Option B
__________________
#StayPositive - kexcvi
From Indonesia
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.
Answer:
2400
Step-by-step explanation:
x+y+z=147
x+(x+1)+(x+2)=147
3x+3=147
3x=144
x=48
The three consecutive positive numbers are 48, 49, and 50.
48 • 50 = 2400
Answer:
2400 just believe me I’m correct
Pls help me with this problem
Answer:
what is your problem?
Step-by-step explanation:
Martina turns on a treadmill to start walking.
She takes 1 minute to gradually increase her speed and then walks at the same speed for 4 minutes. She increases her speed twice more during the 15 minutes she is on the treadmill, as shown on the graph below. Which best describes the function of Martina's walking speed over the interval (0, 15]?
Answer:
a peicewise function with seperate pieces of linear and step functions
Step-by-step explanation:
The statement that describes the function is: (a) a piecewise function with separate pieces of linear and step functions
From the attached graph, we have the following highlights
The graph has several linear functions.The graph has multiple step functions, as well.This means that: the function is best described by the given graph is statement (a)
Read more about piecewise and step functions at:
https://brainly.com/question/13907972
will give brainliest please explain steps
GEOMETRY!!!! Will give brainliest
Victor buys four chairs to place around his dining room table. He pays a total of $88. What is the unit
price?
Select the correct answer from each drop-down menu.
A camp director developed the function m(c) = 12c + 80 to model the total cost of taking c campers on a field trip to the movies.
In the camp director’s function, the number of campers is the _______ variable and the total cost of the trip _________
1. ( independent, dependent )
2. ( changes by a constant factor per camper, Changes by a constant amount per camper )
.
Answer:
(a) Independent variable
(b) The constant factor is 12
Step-by-step explanation:
Given
[tex]m(c) = 12c + 80[/tex]
c = campers
m = total cost
Solving (a) What type of variable is the number of campers (c)
The total cost (m) is dependent on the number of campers (c) for its own value.
In other words, if c changes from 5 to say 7, the value of m will also change.
This implies that the number of campers is an Independent variable
Solving (b): Constant factor
This in other words means, rate of change (or slope)
A linear function is:
[tex]y = ax + b[/tex]
Where a represents the slope
By comparison with: [tex]m(c) = 12c + 80[/tex]
Hence, the constant factor is 12
Answer:
dependent, changes by a constant factor per camper.
Step-by-step explanation:
Which number line shows a graph of the inequality x > -25?
Answer:
Step-by-step explanation:
o--------------------------->
[tex]<------------>\\ -25 -24 -23 -22 -21 -20[/tex]
> means an open circle on -25, and a line pointing to the right because it's greater than.
Options C and D number lines show a graph of the inequality x > -25 that lies on the positive side.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We have given a condition we need to find which number line shows a graph of the inequality x > -25.
We can see in the graph that the number line of options 1 and 2 doesn't show the inequality x > -25 because the point lies on the negative side of the number line.
But the number line in the options C and D shows the inequality x > -25.
Learn more about inequality ;
https://brainly.com/question/20383699
the difference of 4 , and 5 times h
Answer:
Step-by-step explanation:
4 - 5*h
The question is not totally clear. It could be the other way around.
5h - 4
Given the grammar, I'll stick with the first answer.
195/100 as a percentage?
Answer:
1.95
Step-by-step explanation:
195/100
This is tricky.
So imagine this.
195/100
100 signals 1.00
This means that 1.00 will have it's zeros taken outirrdf jsl
ARGHHHHH!
TAKEN OUT, DANG IT!
ANYways, this is 1. now
The decimal signals and
We merge the 1. and the 95.
Wow! 1.95bouuuuuuuuuurllebigtiub
OMG!
You get the idea.
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less
Answer:
The minimum sample size which should be used is 315.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.
This means that [tex]\pi = 0.92[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?
The minimum sample size that should be used is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]
[tex]n = 314.2[/tex]
Rounding up
The minimum sample size which should be used is 315.
2 feet, 6 inches = ____ inches
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 30 inches
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Two students share 3/4 of a pound of peanuts. How much of a pound does each person get
Find the percent change from 98 volunteers to 80 volunteers
Answer:
The percentage change from 98 to 80 is -18.37 %
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((80 - 98) / 98) * 100 = -18.37 %
PLZ ONLY TYPE IN SSS , ASA, SAS, AAS, HL) IF
the triangles are not congruent, type in NEI
Can please someone help me out and explain it step by step. Thank you
Answer:[tex]x=7, \ y=-2[/tex]
Step-by-step explanation:
Given
Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]
take [tex]3x-y=23[/tex]
[tex]y=3x-23[/tex]
Put the value of y in another equation
[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]
Put the value of x in y
[tex]y=3(7)-23=21-23=-2[/tex]
Hence, [tex]x=7, \ y=-2[/tex]
20 POINTS!!!! PLEASE HELP ME!!!!!!
Please do not tell me the answer tell me how to do it with showing my work
Answer:
Step-by-step explanation:
a)
2.64÷3.3 ( said 2.64 divided by 3.3)
3.3√2.64 ( yes I know it's not the division sign but it's as close as we can get)
2.64 / 3.3
All three representations are the same. each say divide 2.64 by 3.3. If you're thinking that last one looks more like a fraction, you're right, but.. that's also what that means. I'm showing these different ways to express the idea of division b/c it's part of what is involved with showing the work and understanding it.
so, to do the above let's move the decimal point to the right .. and do we want to move it one or two places. :? one because of 3.3 or two , because of 2.64, well we want to move it so we don't have to think about it in the problem... so move it the biggest amount that you need to, get the the decimil out of both numbers.. since the 2.64 needs two moves to the right of the decimal... use 100 times to move it 2 places, If you needed 3 then use 1000, 4 , 10,000 ect ect... see the pattern?
so
100(3.3 √ 2.64 )
move the decimal point in both 2 places right
330.0 √ 264.0
I put the extra zeros in, just so you can see the decimal easy. The zeros to the right of the decimal make no difference here.
now I'll know to put the number that I use to divde with above the zero, of 264.0 .. and i'll think about how many times 3 goes into 26 ,without going over. 3*8 = 24 so I want an 8
↓ ← ← ← 0.8
330.0 √ 264.0 ( multiply 8 * 330 = 2640 )
↓ → -264 .0 ( subtract 2640 from the number above )
0
you are done with that one, since there is zero left over and 0.8 is the answer
b)
0.324 ÷ 0.27
0.27 √ 0.324
0324 / 0.27
1000( 0.27 √ 0.324)
270 √ 324.0
↓ ← ← 1.2
270 √ 324.0
↓→ - 270 ( multiply by the 1 )
↓ = 54
↓→ - 540 (multiply by the 2 )
0
since there is zero left over you are done. The answer is 1.2
C)
0.32 ÷ 0.16
0.16 √ 0.32
100(0.32 / 0.16)
↓ ← 2
16 √32
↓→ -32 ( multiply 16 * 2 = 32 )
0
zero left over you are done. the answer is 2 :)
d)
16.92 ÷ 9.4
9.4 √ 16.92
100(16.92 / 9.4)
↓ ← ← 1.8
940 √1692.0
↓→→ - 940 (multiply by 1 )
↓ 7520
↓→ - 7520 (multiply by 8 )
0
since there is zero left you are done, The answer is 1.8
that was a lot, really nobody has talked or told you how to do this before?
where is your teacher? :/
Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'
Answer:
Step-by-step explanation:
Coordinates of the vertex A → (-4, -6)
Coordinates of the vertex A' → (6, 6)
Since, y-coordinates are same opposite in notation,
Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.
And points A and A' will be equidistant from the line of reflection.
Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]
= (1, 0)
Therefore, x = 1 will be the line of reflection.
16 km
d) radius =
diameter =
Answer:
the radius is half the diameter. radius = 8 diameter =16
Step-by-step explanation:
What is 1,987 rounded to the nearest thousand?
Answer: 2000 hope this helps. Can u give me brainliest
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
Since there's a 9 before the 1 you would round up the 1,987 to 2,000
Which of the following is true about the expression 7 + V3?
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
What is the surface area of a cube with an edge length of 8 inches?
384 in.
288 in.
192 in.
512 in.