Given:
Consider the expression [tex]ax(4x-2y-3)[/tex] simplifies to [tex]24x^2-12xy-18x[/tex].
To find:
The value of a.
Solution:
We have,
[tex]ax(4x-2y-3)=24x^2-12xy-18x[/tex]
Using distributive property, we get
[tex]4ax^2-2axy-3ax=24x^2-12xy-18x[/tex]
On comparing the coefficients of [tex]x^2[/tex] from both sides, we get
[tex]4a=24[/tex]
[tex]\Rightarrow a=6[/tex]
Therefore, the value of a is 6.
Find a 95% confidence interval for the true population proportion.
In a survey of 765 employees of a large company, 30% said that they had high job satisfaction.
Answer:
The 95% confidence interval for the true population proportion is (0.27, 0.33).
Step-by-step explanation:
The (1 - α)% confidence interval for population proportion of is:
[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information given is:
[tex]\hat p=0.30\\n=765\\\text{Confidence level}=95\%[/tex]
The critical value of z for 95% confidence level is, 1.96.
Compute the 95% confidence interval for the true population proportion as follows:
[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.30\pm 1.96\times\sqrt{\frac{0.30(1-0.30)}{765}}\\\\=0.30\pm 0.0325\\\\=(0.2675, 0.3325)\\\\\approx (0.27, 0.33)[/tex]
Thus, the 95% confidence interval for the true population proportion is (0.27, 0.33).
Find the Unit Rate: Twenty emails in 5 minutes.
Answer:
4 emails per minute
Step-by-step explanation:
20/5=4
THIS IS SUPER EASY PLEASE HELP!
A rectangle is 7 meters longer than it is wide. If the area is 84 square meters, find the dimensions of the rectangle.
Answer:
w=38.5
l=45.5
Step-by-step explanation:
I'm not sure but I hope this helps! *You may want to check my math*
I took the area and subtracted 7, then dived it by 2. Then add back the 7 to my answer to the length.
The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.
Answer:
Length of the side of a square is 18 sqrt(2)
Step-by-step explanation:
a and b are the sides of square and c is the diagonal.
a^2+b^2=c^2
a^2+b^2= 36^2
As all sides are equal we can take b=a
2a^2=36^2
a^2= (36×36)/2
a^2 = 18×36 = 2×9×9×4
Taking squareroot on both sides we get
a= sqrt(2×9×9×2×2)
a=18 sqrt(2)
In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18) Find \text{m}\angle WUV.m∠WUV.
Applying the exterior angle of a triangle theorem, m<WUV = 36°
What is the Exterior Angle of a Triangle Theorem?The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.
Applying the exterior angle of a triangle theorem:
m<WUV + m<UVW = m<VWX
Substitute
2x + 8 + 3x + 16 = 8x - 18
Add like terms
5x + 24 = 8x - 18
5x - 8x = -24 - 18
-3x = -42
-3x/-3 = -42/-3
x = 14
m<WUV = 2x + 8
Plug in the value of x
m<WUV = 2(14) + 8
m<WUV = 28 + 8
m<WUV = 36°
Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°
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Which choice describes the value of m when -5(m + 1) ≤ 23?
1. m ≥ -28/5
2. m ≤ -28/5
3. m ≥ -18/5
4. m ≤ -18/5
Answer:
Number 1
Step-by-step explanation:
-5(m + 1) ≤ 23
Distribute
-5m - 5 ≤ 23
-5m ≤ 23 + 5
-5m ≤ 28
-m ≤ 28/5
Since we divide by a negative the ≤ flips to ≥
m ≥ -28/5
Hope this helps :3
What is the probability of obtaining two heads in a row when flipping a coin?
Answer:
0.25000
Step-by-step explanation:
Order of operation with Integers
Answer:
8
Step-by-step explanation:
we have to follow PEDMAS.
what we have to do in each operation:
Parenthesis ~ 100 + 8 to the second power
Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power
Multiplication ~ none
Division ~ 10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power
Addition ~ 100 + 8 to the 2nd power
Subtraction ~ 10 to the 2nd power - (100+8 to the second power)
doing the work:
we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.
E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.
we can skip M because there isn't any multiplication to do.
D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8
A: we already did the addition in the parenthesis part.
S: we already did the addition in the parenthesis part.
Solve for p in the literal equation 8p + 3r = q.
Answer:
Step-by-step explanation:
8p + 3r = q
8p = q - 3r
p = (q-3r)/8
Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?
Answer:
Sawyer has to pay $10 each week to pay his mom back
Step-by-step explanation:
Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.
The remaining $30 will be covered by his mom, given he pays the money back in three weeks.
If he pays the same amount each week, then each week he should pay $30 / 3 = $10
Sawyer has to pay $10 each week to pay his mom back
Triangle A (1, 1), B (4, 4), C (6, 2) is
Answer:
Is a obtuse triangle
Step-by-step explanation:
Choose the correct correspondence R OK
A rectangular field has an area of 1450 square feet. If the width is 3 times greater than the length which of the following is the length of each field
UT is the midsection of triangle QRP. If UT= x+9 and QP=4x-27, what is the length of QP?
Answer:
Step-by-step explanation:
4x - 27 = 2(x + 9)
2x = 27 + 18
x = 45 ÷ 2 = 22.5
QP = 4(22.5) - 27 = 63 units
Can anybody help me with this question?
Answer:
Your answer is c hope this helps
Anyone know this???
================================================
Explanation:
To shift f(x) to the right three units, we need to replace every x with x-3
f(x) = (x+2)^2 + 1
f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3
f(x-3) = (x-1)^2 + 1
g(x) = (x-1)^2 + 1
The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).
Need help finding the missing angle measure
Answer:
125
Step-by-step explanation:
(n-2)180
(6-2)180
=720
720-120-110-100-130-135
=125
Answer:
Step-by-step explanation:
It is a six sided figure sum of all angles should be 720 degree.
595 +x=720
x=720-595
x=125 degree
Another method
Sum of interior angles of a polygon is
= (n-2)×180=(6-2)×180= 720 degree
answer asap for brainliest
Answer:
(2,4)
Step-by-step explanation:
Plug in 2 for x and plug in 4 for y and the equation should be correct
What is the simplified value of the expression below? One-third divided by two-thirds 0 One-third One-half 1
Answer:
It is one half 1
2
Step-by-step explanation:
did test on edg 2020
Answer:
c on edge 2021
Step-by-step explanation:
1/2
What is 4.207 as a percent help me pls
Answer:
420.7%
Step-by-step explanation:
Solve the proportion 20/3=?/6
Answer:
40
Step-by-step explanation:
3x2=6 so 20x2=40. It is a 6.66:1 ratio.
The value of the unknown number in the equation 20/3 = ?/6 is 40.
What is the value of the missing number?Given the equation in the question:
20/3 = ?/6
To solve the equation 20/3 = ?/6, first represent the missing number with x:
20/3 = x/6
Cross-multiply and solve for the unknown value.
x × 3 = 20 × 6
Multiply 3 and x:
3x = 20 × 6
Multiply 20 and 6:
3x = 120
Next, divide both sides by 3:
3x/3 = 120/3
x = 120/3
x = 40
Therefore, the value of x is 40.
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on her 120 point final exam latonja needs above a 90% to secure an A fot the course. If she scored 109 points, did she earn an A? Justify your answer
Answer:
yes
Step-by-step explanation:
a 90 percent would be 108
Answer:
Yes she earn an A Because 90% of 120 is 108 which means that she scored 109 which means 90% of 120 is 108 which means that she scored 109 in which means approximately 91% proving that she got an A
Step-by-step explanation:
Magic
please help jjjsjssioaozkzksnsnsns
Identify the following characteristics and
graph the equation.
f(x) = 3(x - 2)2 + 4
Answer:
6(x-2)+4
Slope=6
Step-by-step explanation:
alyssa does jumping jacks in her spare time she does 300 jumping jacks on 2.5 minutes how many jumpin jacks can she do per minute?
A female grizzly bear weighs 500 pounds after hibernating for 6 months, she weighs only 350 what is the mean monthly change in weight
Answer:
sorry just need points
Step-by-step explanation:
half of the quantity of 6 less than a number f is 4
Answer:
I believe 10
Step-by-step explanation:
the reason I believe it is 10 is because that is the main mathematical explanation for this equation
Adding and subtracting fractions show the working and answer
Answer:
1) 1/2
2)7/10
3)11/12
4)4/96
5)43/30
6)5/40
I will do one only. You gotta do your own homework.
please help
4x-8 by 4 is ???
please help me asap
Answer:
3)7/12
4)2*14/25
5)25
hope my effort will help you in some way
Answer:
Step-by-step explanation:
3) [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3
[tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]
4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]
[tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]
5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]
= 5 * 5
= 25