Answer:
1,500,000 at 14% and 500,000 at 6%
Step-by-step explanation:
x + y = 2,000,000
.14x + .06y = 240,000
[tex]0.14x+0.06\left(2000000-x\right)=240000\quad :\quad x=1500000[/tex]
What is the probability that a normal random variable with mean 6 and standard deviation
3 will fall between 5.7 and 7.5
Answer:
z-score=7.5-6 1.5
___________=______=0.5
3 3
Step-by-step explanation:
Look up -0.1 on a z-table. The result is 0.4602. The means there is a 0.4602 probability the random variable will be below 5.7.
The find the probability the random variable will be between 7.5 and 5.7, simply subtract the two probabilities we found (above) from one another:
0.6915+-+0.4602+=+0.2313
So, there is a 0.2313 probability the random variable will fall between 7.5+and 5.7.
Given MP with M(-12, -5) and P(9, -12), if N lies on MP such that the ratio of MN to NP is 3:4, find the coordinates of N.
Answer:
(-3,-8)
Step-by-step explanation:
MN:Np=3:4 Let m:n=3:4
Use the formula
xN=(xM*n+xP*m)/(m+n)
yN=(yM*n+yP*m)/ (m+n)
xN= ((-12)*4+9*3)/ (4+3)=-3.
yN=((-5)*4+(-12)*3)/(4+3)=-8.
Mr. and Mrs. Samson are planning to build a fence around their garden. They are comparing the different measurements for their plans.
Plan A:
1.Posts are 4 ¼ feet in length
2. Post must be installed 7/8 feet below ground level.
Plan B:
1. Posts are 6 ¾ feet in length.
2. Posts must be installed 1 ½ feet below ground level.
1.What will be the height of the fence in plan A?
2. What will be the height of the fence in plan B?
3. Which fence will be taller and by how much?
4. Which plan would you recommend and why?
5. Mr. And Mrs. Samson decide to go with plan A and purchase the materials. Their total bill is $356.88. If they pay $220 in cash and charge the remainder, how much did they charge?
The relationship between the heights of the fence, the lengths, the distance below the ground level is an illustration of addition and subtraction.
The height of the fence is [tex]3\frac 38[/tex] in plan A and [tex]4\frac 34[/tex] in plan BThe fence in plan B is taller by [tex]2\frac{3}{4}[/tex] feet.The fence in plan B is recommended because: It is taller than the fence in plan A, and it goes below the ground level than plan AThey charge $136.88Plan A
[tex]Length = 4\frac 14[/tex]
[tex]Ground\ Level = \frac 78[/tex]
Plan B
[tex]Length = 6\frac 34[/tex]
[tex]Ground\ Level = 1\frac 12[/tex]
The height of the fence is calculated by subtracting the length below ground level from the length of the fence. So, we have:
[tex]Plan\ A = 4\frac 14 - \frac 78[/tex] [tex]Plan\ B = 6\frac 34 - 1\frac 12[/tex]
[tex]Plan\ A = \frac{17}{4} - \frac 78[/tex] [tex]Plan\ B = \frac{25}{4} - \frac 32[/tex]
Take LCM
[tex]Plan\ A = \frac{17\times 2 - 7}{8}[/tex] [tex]Plan\ B = \frac{25 - 3\times 2}{4}[/tex]
[tex]Plan\ A = \frac{34 - 7}{8}[/tex] [tex]Plan\ B = \frac{25-6}{4}[/tex]
[tex]Plan\ A = \frac{27}{8}[/tex] [tex]Plan\ B = \frac{19}{4}[/tex]
[tex]Plan\ A = 3\frac{3}{8}[/tex] [tex]Plan\ B = 4\frac{3}{4}[/tex]
Hence, the height of fence is [tex]3\frac 38[/tex] in plan A and [tex]4\frac 34[/tex] in plan B
The fence in plan B is taller because [tex]4\frac 34[/tex] is greater than [tex]3\frac 38[/tex]
The difference (d) in the heights is:
[tex]d = 4\frac 34 - 3\frac 38[/tex]
[tex]d = \frac{19}{4} - \frac{27}{8}[/tex]
Take LCM
[tex]d = \frac{19 \times 2 - 27}{4}[/tex]
[tex]d = \frac{38 - 27}{4}[/tex]
[tex]d = \frac{11}{4}[/tex]
[tex]d = 2\frac{3}{4}[/tex]
Fence in plan B is taller by [tex]2\frac{3}{4}[/tex] feet.
I will recommend the fence in plan B because:
It is taller than the fence in plan AIt goes below the ground level than plan AFor (5), we have:
[tex]Total = \$356.88[/tex]
[tex]Cash = \$220[/tex]
The remainder is the difference in the total amount and the amount they paid:
[tex]Charge = Total - Cash[/tex]
[tex]Charge = \$356.88 - \$220[/tex]
[tex]Charge = \$136.88[/tex]
Hence, they charge $136.88
Read more about addition and subtraction at:
https://brainly.com/question/12361020
I have one flat face 1 curved face 1 edge or corner I am aI have 6 equal square faces 12 edges and 8 vertices I am a
Answer:
A . sphere B. Square
Step-by-step explanation:
........
how many inches is in 140 feet?
Hey there!
The formula for feet to inches is to simply multiply the length value by 12.
So, multiply 140 by 12.
I believe your answer would be 1680 inches.
Hope this helps!
Have a great day!
Answer:
140 feet is 1680 inches. Don't forget to put your units in; your teacher may dock off points for forgetting to put in the unit.
Step-by-step explanation:
A foot is 12 inches, so you must multiply 140 by 12.
[tex]140\times12=1680[/tex]
100000-76585 full formula
Answer:
Bro it is simple the answer is 23415
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Find the area of this triangle.
8 m
14 m
A = [?] m2
Answer:
A = 56 m^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 12 (14)(8)
A = 56 m^2
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4, 2, 6, 10
C. Subtract 4, 1, 5, 9
d. Add 4; 1, 5, 9
Please select the best answer from the choices provided
Answer:
b. Add 4, 2, 6, 10
Step-by-step explanation:
2/3 divided by 3/10
Thanks
Answer:
[tex] \frac{20}{9} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3} \div \frac{3}{10} [/tex]
➡️ [tex] \frac{2}{3} \times \frac{10}{3} [/tex]
➡️ [tex] = \frac{20}{9} [/tex] ✅
Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for sor">=' for if necessary.
-2(5x + 1) > 48
Answer:
x < -5
Step-by-step explanation:
-2(5x+1) >48
-10x-2 > 48
-10x-2+2 > 48+2
-10x > 50
p.s : when dividing by a negative number with inequalities, change the sign, i.e. < would then be >....
therefore:
x < -5
for the following geometric sequence find the explicit formula. {12, -6, 3, ...}
Answer:
It's geometric sequence where a_1=12, q=-\dfrac{1}{2}a
1
=12,q=−
2
1
So a_n=12\cdot\left(-\dfrac{1}{2}\right)^{n-1}a
n
=12⋅(−
2
1
)
n−1
Answer:
[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex]
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex] ← explicit formula
1 A recipe for sugar cookies requires 2 cups of
flour for every 2/3 cups of sugar.
At this rate, how many cups of sugar should be used if 5 cups of flour is included?
Answer:
3 cups of sugar should be used if 5 cups of floue is included
Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}
Hello! i need help with these questions
Answer: 13. is c, 14. is yes and 15 is no
Step-by-step explanation: Try your best and you might succeed
What is the correct answer I will give brainlist only if correct answer ASAP
Answer:
4 tickets left
Step-by-step explanation:
Dividing 276 by 8 gives you a remainder of 4.
Give the equation of a line that passes
through (9,2) and is parallel to:
y = 3x - 6
Answer:
y = 3x - 25
Step-by-step explanation:
If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
2 = 3(9) + b
2 = 27 + b
-25 = b
Plug in the slope and y intercept into y = mx + b:
y = mx + b
y = 3x - 25
So, the equation of the line is y = 3x - 25
Find the value of x if 3(4x+3)
Find f(-2) for f(x)=3x^2-8x+7
Answer:
f(-2) = 35
Step-by-step explanation:
Let x = -2.
[tex]3(-2)^2-8(-2)+7\\\\12+16+7\\\\35[/tex]
a rectangular garden is 3 times as long as it is wide .the perimeter is 32m . find the dimensions of the garden
Answer:
Width= 4
length= 12
perimeter= (16+4)×2
3x+3x+x+x=32, let x be the dimensions
8x=32
x=4
so 3(4)=12
brainiest to whoever right !
Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 CORRECT
Find the opposite of: - 4x2 - 4x + 2
Answer:
4x² + 4x - 2
Step-by-step explanation:
The opposite is the negative value
The opposite of - 4x² - 4x + 2 is
- (- 4x² - 4x + 2) ← distribute parenthesis by - 1
= 4x² + 4x - 2
Solve equation 3.2x=25.6
Answer:
x=8
Step-by-step explanation:
3.2x=25.6
Divide each side by 3.2
3.2x/3.2=25.6/3.2
x =8
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
[tex]3.2x = 25.6 \\ \frac{3.2x}{3.2} = \frac{25.6}{3.2} \\ x = 8[/tex]
A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?
Answer:
NO. OF RED =8
NO. OF BLUE=4
NO. OF GREEN=7
THEREFORE,TOTAL MARBLES=19
THEREFORE,PROBABILTY OF RED MARBLES=8/19.
A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)
Answer:
$4
Step-by-step explanation:
We can write a ratio to solve
15 stickers 30 stickers
----------------- = -------------
2 dollars x stickers
Using cross products
15x = 2*30
15x = 60
Divide by 15
15x/15 = 60/15
x = 4
put the bracket in the correct place
10-3x4-2+1=5
Answer:
10-(3×4)-2+1=5
10-12-3=5
10-15=5
10=5+15
10=20
20-10
10
Answer:
[10 - 3 × (4-2)] +1= 5
.......
find the measure of angle of ABF
Answer: m∠ABF = 120°
Concept:
Here, we need to know the idea of the corresponding angle theorem and linear pair postulate.
The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.
The linear pair postulate states that two angles that form a linear pair are supplementary.
Solve:
Given information
m∠ABF = m∠ABF = 2x + 3x
According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.m∠BCH = 3x
Total angle = 180°
∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.Given equation
m∠ABF + m∠BCH = Total Angle
Substitute values into the equation
2x + 4x + 3x = 180
Combine like terms
9x = 180
Divide 9 on both sides
9x / 9 = 180 / 9
x = 20
m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = 120°
Hope this helps!! :)
Please let me know if you have any questions
Is x^3x^3x^3 equivalent to x^3^3^3
Answer:
No they aren't equivalent.
Step-by-step explanation:
x^3x^3x^3=x^3^3^3
[tex](x)^{3x^{3x^3[/tex]=[tex]x^{3^{3^3[/tex]
[tex]x^{3x^{9x}[/tex]=[tex]x^{3^{9}[/tex]
[tex]x^{27x^{2} }[/tex]=[tex]x^{27}[/tex]
Apply log on both sides
27[tex]x^{2}[/tex]logx=27logx
27[tex]x^{2}[/tex]logx/27logx=1
[tex]x^{2}[/tex]=1
This is true if x=1 , -1.
The values are equivalent if x=1 and -1 , otherwise no they aren't equivalent.
Solve the following using the order of operations 15+5x8
Answer:
55
Step-by-step explanation:
Order of operations lists Multiplication before Addition.
So...
8 x 5 = 40
40 + 15 = 55
Answer:
55
Step-by-step explanation:
you have to do 5x8 first and you get 40 and then you add 15
Can you conclude that this parallelogram is a rectangle? Explain.
Answer:
The answer is B.
Step-by-step explanation:
All parallelograms that have congruent diagonals are rectangles.
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:175 degrees
Step-by-step explanation: The shape isn't properly drawn.But,I assumed it is a five sided polygon because of the fifth ange
A pattern has 3 blue triangles to every 24
yellow triangles. What is the ratio of blue
triangles to all triangles?
Answer:
It is 3 : 27
Step-by-step explanation:
Ratio of blue to yellow = 3:24
[tex]{ \sf{total \: ratio = 24 + 3 = 27}}[/tex]
ratio of blue to all triangles:
[tex] = 3 : 27[/tex]