Answer:
roughly 3593.13
Step-by-step explanation:
1444 x 0.2
288.8
1444+288.8 = 1732.8
1732.8 x 0.2
346.56
1732.8 + 346.56 = 2079.36
2079.36 x 0.2
415.87
2079.36 + 415.87 = 2495.23
2495.23 x 0.2
499.05
2495.23 + 499.05 = 2994.28
2994.28 x 0.2
598.85
2994.28 + 598.85 = 3593.13
Car repairs: Let be the event that a new car requires engine work under warranty and let be the event that the car requires transmission work under warranty. Suppose that ,P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the engine.
Answer:
a) 0.11 = 11% probability that the car needs work on either the engine, the transmission, or both.
b) 0.9 = 90% probability that the car needs no work on the engine.
Step-by-step explanation:
P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .
This means that:
Only engine: 0.1 - 0.01 = 0.09
Only transmission: 0.02 - 0.01 = 0.01
Both engine and transmission: 0.01
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
0.09 + 0.01 + 0.01 = 0.11
0.11 = 11% probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the engine.
Probability of needing work on engine:
0.09 + 0.01 = 0.1
Not needing:
1 - 0.1 = 0.9
0.9 = 90% probability that the car needs no work on the engine.
Sally has 10 months to read all 60 books on the sixth grade reading list. What is the minimum rate Sally can read in order to
finish all the books in time?
OA 10 books per month
ОВ.
6 books per month
OC. 7 books per month
OD
5 books per month
Answer:
6 books per month
Step-by-step explanation:
because 6x10 equals 60
A compound inequality is graphed, and its graph consists of all real numbers.
Which open sentence could have resulted in this solution set?
A. r < 3 or r > –2
B. r > 3 or r > –2
C. r < 3 or r < –2
D. r > 3 or r < –2
Answer:
A
Step-by-step explanation:
Domain of r<3: (-∞,3)
Domain of r>-2: (-2,+∞)
(-∞,3)U(-2,+∞)=(-∞,+∞) = ℝ
30 is 60% of
due today
Answer:
30 is 60% of 50.
Step-by-step explanation:
30 ÷ 60% = 50
Please answer ASAP!
Which graph represents a bike traveling at a constant rate of
12 miles per hour?
Answer:
1st from the left
Step-by-step explanation:
Answer:First one from the left
Step-by-step explanation:
Realiza tres ejemplos de probabilidad subjetiva
ojala te sirva
es niño o niña?: La abuela de un bebe que esta por nacer asegura que el futuro bebé será una niña y no un niño, la abuela se basa en los antojos de la madre, la forma del estómago de la madre y otras características que ella ha podido observar durante el embarazo.
te comparto imagenes ok
what is 23 x 33 - 21
Answer:
738
Step-by-step explanation:
Start by multiplying..
23 x 33 = 759
Next subtract..
759 - 21 = 738
Final answer is 738f(x) = –22 – 7x – 5
Find f(-5)
Answer:
f=7/5x+27/5
Step-by-step explanation:
you just have to divide both sides by -5
Answer:
18
Step-by-step explanation:
-22-7(-5)-5
-22+45-5
-22+40
18
5. Solve the inequality for n: 4n+2(n+1)>n+52
Answer:n>10
Step-by-step explanation:b
The average annual salary for a teacher national is $58,350 this is projected to increase 2% per year for the next four years what will your projected annual salary be in four years
Answer:
Step-by-step explanation:
[tex]F=Ir^t,\text{ where F=final amount, I=initial amount, r=rate of change, t=time}\\ \\ F=58350(1.02)^4\\ \\ F=\$ 63159.92[/tex]
write an equivalent expression for z to the power of 8
Answer:
z^8
Step-by-step explanation:
Kevin is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 15 feet and its width is 12 feet. Suppose each bag of fertilizer covers 20
square feet. How many bags will he need to cover the garden?
Answer:
9 bags.
Step-by-step explanation:
If you find the area of the garden ( 15 times 12) and divide the area by 20 (the size of one bag) you get 9 bags.
Answer:Kevin will need 9 bags
Step-by-step explanation:
15 x 12
=180
180 by 20
= 9
Examine the worked problem and solve the equation
Answer:
The solution is 9
In the problem below, put the steps in order to solve 5(x+1)=2(x-2).
Answer:
5(x+1)=2(x-2)
5x+5=2x-4
5x-2x=-5-4
3x=-9
x=-3
Step-by-step explanation:
Determine the missing side of a right triangle if one side
length is 15 and the hypotenuse measures 17 units.
Answer:
215 units
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (-6, -3) to
(5,8) that partitions the segment into a ratio of 6 to 5?
Given:
A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.
To find:
The coordinates of that point.
Solution:
Section formula: If point divides a line segment in m:n, then the coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get
[tex]Point=\left(\dfrac{6(5)+5(-6)}{6+5},\dfrac{6(8)+5(-3)}{6+5}\right)[/tex]
[tex]Point=\left(\dfrac{30-30}{11},\dfrac{48-15}{11}\right)[/tex]
[tex]Point=\left(\dfrac{0}{11},\dfrac{33}{11}\right)[/tex]
[tex]Point=\left(0,3\right)[/tex]
Therefore, the coordinates of the required point are (0,3).
What is the slope of the line graphed in the coordinate grid?
(Write the answer as a fraction in lowest terms.)
Answer:
3/4
Step-by-step explanation:
I drew a slope triangle and found the slope by finding the distance between two points on the line.
[tex]vertical distance/horizontal distance[/tex]
Hope this helped!
The slope of the line graphed in the coordinate grid will be;
⇒ m = -4/5
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The line graphed in the coordinate grid is shown in figure.
Now,
Let two points on the graph of the line are (5, 0) and (0 , 4)
We know that;
Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, Slope of the line passing through the points (5, 0) and (0 , 4) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (4 - 0) / (0 - 5)
⇒ m = 4 / (-5)
⇒ m = -4/5
Thus, The slope of the graph = - 4/5
Learn more about the equation of line visit:
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One estimate for the ideal body weight of a woman is shown below.
59kg+2.6kg for each inch over 5 feet.
A) Find the linear model For an estimate of the ideal weight of a woman using W for ideal body weight (in kilograms) and H for the height over 5 feet (in inches)
this is tough, if you explain the question better I can help!
Answer:
Step-by-step explanation:
Which relationships describe angles 1 and 2?
Select each correct answer.
O vertical angles
O complementary angles
O adjacent angles
O supplementary angles
Since the sum of angles 1 and 2 equals 90°, and they also share same side and same vertex, then, the relationships that describe both angles would be:
B. Complementary angles
C. Adjacent angles
What are Complementary Angles?Complementary angles are two angles whose sum equals 90 degrees (right angle).
Thus:
m∠1 + m∠2 + 90° = 180° (straight line angle)
m∠1 + m∠2 = 180° - 90°
m∠1 + m∠2 = 90°
Therefore, since the sum of angles 1 and 2 equals 90°, and they also share same side and same vertex, then, the relationships that describe both angles would be:
B. Complementary angles
C. Adjacent angles
Learn more about complementary angles on:
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2. Select each correct answer. More than one answer may be correct.
Which of the following natural systems could be affected by agricultural runoff from a large, heavily tilled farm?
a river ecosystem 5 miles from the farm
a wetland ecosystem 500 meters the farm
a marine ecosystem 200 miles from the farm
a freshwater lake ecosystem 50 miles from the farm
Answer:
a wetland ecosystem 500 meters the farm
Step-by-step explanation:
This is because it is 500 meters near that farm which quiet close so it may get affected.
Answer: ALL OF THEM
Step-by-step explanation: It was on Study Island
A man needed to sell a car. He priced it at $3,500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?
A.
$3,150.00
B.
$2,528.75
C.
$2,975.00
D.
$4,025.00
2/4-1/4 how do I do ot
Answer:
1/4
Step-by-step explanation:
write all numerator above the common denominator
2-1 over 4
subtract the numbers
and you will get 1/4
answer:
1/4
Step-by-step explanation:
[tex] \frac{2}{4} - \frac{1}{4} [/tex]
[tex] \frac{2 - 1}{4} [/tex]
[tex] \frac{1}{4} [/tex]
it's the answer:)
Help please and thanks
Each of the following statements is correct in at least one number system. That is, the statement is correct if we assume the numbers are expressed in a base other than 10. It is up to you to find out which number base makes each statement correct. You need to justify your answer by converting the numbers in each operation to base 10 and showing that the statement is correct. For example, 36/6 = 7 is clearly not correct in base 10, but it is correct in base 12 because 3612 = 4210 and 4210/610 = 710.
Thus, 3612/612 = 712 is true.
a) 42/3 = 13
b) 23 + 44 + 14 + 32 = 223
Answer:
(a) Base 7
(b) Base 5
Step-by-step explanation:
(a) 42/3 = 13 testing base 7 we have:
4x7¹ + 2x7° = 28 + 2 = 30
3x7° = 3
1x7¹ + 3x7° = 7 + 3 = 10
30/3 = 10. Therefore, 42/3 = 13 is in base 7.
(b) 23 + 44 + 14 + 32 = 223. Testing base 5 we have:
2x5¹ + 3x5° = 10 + 3 = 13
4x5¹ + 4x5° = 20 + 4 = 24
1x5¹ + 4x5° = 5 + 4 = 9
3x5¹ + 2x5° = 15 + 2 = 17
2x5² + 2x5¹ + 3x5° = 50 + 10 + 3 = 63
13+24+9+17 = 63.
Therefore, it was done in base 5.
if you saved your 76$ monthly allowance for 3 years, how much money would you have?
(x^b-c)^1÷bc×(x^c-a)^1÷ac×(x^a-b)^1÷ab
which is greater 5.7 or 4.2?
Answer:
5.7 is greater
Step-by-step explanation:
hope this helps
Answer: 5.7
Step-by-step explanation:
Find the obtuse, isosceles triangle
Answer:
b
Step-by-step explanation:
obtuse means having an angle greater than 90 and isosceles means that two of the side will be congruent and thats exactly what b is showing
PLEASE HELP !!!!!
describe the process of solving a proportion.
The process of solving a proportion is given below.
We are given that;
To show the process of solving a proportion
Now,
A proportion is an equation that states that two ratios are equal. For example, if we have 2 4 = 3 6[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , then we have a proportion.
To solve a proportion, we need to find the value of a missing term that makes the equation true. There are different methods to solve a proportion, but one common method is cross-multiplication. Here are the steps to solve a proportion by cross-multiplication:
Multiply the numerator of one ratio by the denominator of the other ratio.
For example, if we have 2 4 = x 6
[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 2 by 6 and get 12.
Multiply the denominator of the first ratio by the numerator of the second ratio.
For example, if we have 2 4 = x 6
[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 4 by x and get 4x.
Set the two products equal to each other. For example,
if we have [tex]2 4 = x 6 {\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex], then we set 12 = 4x.
Solve for the missing term. For example, if we have 12 = 4x, then we divide both sides by 4 and get x = 3.
Check your answer by plugging it back into the original proportion.
For example, if we have x = 3, then we plug it back into 2 4 = x 6 [tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] and get 2 4 = 3 6
[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , which is true.
Therefore, by proportion answer will be given below.
More can be learned about proportions at;
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Dylan paid $3.50 for 12 folders. How much would he pay for 30 folders?
Answer:
8.75
Step-by-step explanation:
12f=3.50
30f=3.50/12*30
3.50/12*30= 8.75
8.75 is the amount for 30 folders.