Answer:
0.743ml=0.000743
Step-by-step explanation:
Find the probability of having 2, 3, or 4 successes in five trials of a binomial experiment in which the probability of success is 40%.
Round to the nearest tenth of a percent
[?]%
Final answer:
To find the probability of having 2, 3, or 4 successes in five trials where the probability of success is 40%, we calculate each scenario's probability using the binomial probability formula and sum them. The total probability is 65.3%, rounded to the nearest tenth of a percent.
Explanation:
To calculate the probability of having 2, 3, or 4 successes in five trials of a binomial experiment where the probability of success is 40%, we use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Where:
P(X = k) is the probability of k successes in n trials
C(n, k) is the combination of n trials taken k at a time
p is the probability of success on an individual trial
(1-p) is the probability of failure on an individual trial
Let's calculate each probability:
P(X = 2) = C(5, 2) * 0.4² * 0.6³
P(X = 3) = C(5, 3) * 0.4³ * 0.6²
P(X = 4) = C(5, 4) * 0.4⁴ * 0.6¹
To find the total probability of having either 2, 3, or 4 successes (P(X = 2 or 3 or 4)), we add up these probabilities:
P(X = 2 or 3 or 4) = P(X = 2) + P(X = 3) + P(X = 4)
Let's use the combination formula to calculate these probabilities:
P(X = 2) = 10 * 0.4² * 0.6³ = 0.2304
P(X = 3) = 10 * 0.4³ * 0.6² = 0.3456
P(X = 4) = 5 * 0.4⁴ * 0.6 = 0.0768
Therefore:
P(X = 2 or 3 or 4) = 0.2304 + 0.3456 + 0.0768 = 0.6528 or 65.3% (rounded to the nearest tenth of a percent)
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Solve the following system of equations using substitution. Be sure to show all work and check your answer.
y=5x+2
3x=-y+10
Answer:
Step-by-step explanation:
y = 5x + 2.....so we will sub in 5x + 2 for y, back into the other equation
3x = -y + 10
3x = - (5x + 2) + 10
3x = -5x - 2 + 10
3x + 5x = 8
8x = 8
x = 8/8
x = 1
y = 5x + 2
y = 5(1) + 2
y = 5 + 2
y = 7
check it... (1,7)
3x = -y + 10 y = 5x + 2
3(1) = -7 + 10 7 = 5(1) + 2
3 = 3 (correct) 7 = 7 (correct)
so ur solution is : x = 1 and y = 7...or (1,7) <=====
Answer:
(1,7)
Step-by-step explanation:
Since we know that y=5x+2, we replace y in the bottom equation with 5x+2.
3x=-(5x+2)+10
Then distribute the - into both of the parentheses (multiply both terms by -1):
3x=-5x-2+10
Then add like terms:
3x=-5x+8
Add 5x to both sides:
8x=8
Divide both sides by 8:
x=1
Plug the known x value into y=5x+2:
y=5(1)+2
Multiply:
y=5+2
Add:
y=7
Put values into (x,y) form:
(1,7)
Solve for x, where x is a real number.
3/2x – 14 – 2=0
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Answer:
Step-by-step explanation:
3/2x - 14 - 2 = 0
3/2x - 12 = 0
3/2x = 12
2x = 36
x = 18
A rectangular carport has an area 28 square feet. The height of the carport is 1 feet less than 2 times its length. Find the height and the length of the carport.
Answer:
Dimension= [tex](4\times 7)\ feet[/tex]
Step-by-step explanation:
Given: Area of Carport= 28 feet²
The height of the carport is 1 feet less than 2 times its length.
Lets assume the length of Carport be "w"
∴ Height of carport= [tex](2w-1)\ feet[/tex]
We know, Area of rectangle= [tex]width\times length[/tex]
∴[tex]28= w\times (2w-1)[/tex]
Using distributive property of multiplication.
⇒ [tex]28= 2w^{2} -w[/tex]
Subtracting both side by 28.
⇒ [tex]2w^{2} -w-28= 0[/tex]
Using the quadratic formula to solve the equation.
⇒ [tex]2w^{2} -w-28= 0[/tex]. what are the values of w.
Solving by using quadratic formula.
Formula: [tex]\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}[/tex]
∴ In the equation [tex]2w^{2} -w-28= 0[/tex] , we have a= 2, b= -1 and c= -28.
Now, subtituting the value in the formula.
= [tex]\frac{-(-1)\pm \sqrt{(-1)^{2}-4(2\times -28) } }{2\times 2}[/tex]
= [tex]\frac{1\pm \sqrt{1 - 4(-56) } }{4}[/tex]
Opening parenthesis.
= [tex]\frac{1\pm \sqrt{1+224 } }{4}[/tex]
= [tex]\frac{1\pm \sqrt{225}}{4}[/tex]
We know 15²=225
= [tex]\frac{1\pm \sqrt{15^{2}}}{4}[/tex]
we know √a²=a
= [tex]\frac{1\pm 15 }{4}[/tex]
Now we have two solution
= [tex]\frac{16}{4} \ or\ \frac{-14}{4}[/tex]
Ignoring negative base or width or carport
∴ w= [tex]\frac{16}{4} = 4[/tex]
Hence, Length of carport is 4 feet
next subtituting the value of length to get height of carport
Height of carport= [tex](2w-1)\ feet[/tex]
⇒ Height of carport= [tex](2\times 4-1)[/tex]
⇒ Height of carport= [tex]7\ feet[/tex]
Hence dimension of rectangular carport= [tex](4\times 7)\ feet[/tex]
a rectangle has a length of 6cm, and an area of 18cm aquared. what is the width of the rectangle?
Answer:
3 cm
Step-by-step explanation:
The formula for the area of a rectangle is ...
A = LW . . . . . . area is the product of length and width
Fill in the given values and solve for the width (W).
18 cm² = (6 cm)W
(18 cm²)/(6 cm) = W = (18/6) cm²/cm . . . . . . divide by the coefficient of W
W = 3 cm
The width of the rectangle is 3 cm.
The width of a rectangle, with a length of 6 cm and an area of 18 cm squared, is 3 cm.
Explanation:The question is asking for the width of a rectangle which we can find using the formula for the area of a rectangle. The formula is: Area = Length x Width. From the given question, we know that the area is 18 cm2 and the length is 6 cm. So, we can set up the equation: 18 = 6 x Width. To solve for width, we divide both sides of the equation by 6. This gives us Width = 18 ÷ 6 which equals 3 cm.
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how do you solve y=1/2x-4
Answer: x = 2y + 4
Step-by-step explanation:
y=1/2x-4
multiply both sides by 2
2y=x-4
substract from both sides 2y
0=x+–2y-4
substract from both sides x
-x=-2y-4
multiply both sides by -1 to get positive x
x=2y+4
Sum of 2 numbers are 83. Difference is 7. Find the numbers
The two numbers that add up to 83 with a difference of 7 are 45 and 38. We can find these numbers by setting up a system of linear equations and solving for each variable.
To find the two numbers where the sum is 83 and the difference is 7, we can set up two equations based on the information provided:
Let the first number be x and the second number be y.The sum of the two numbers is x + y = 83.The difference of the two numbers is x - y = 7.To solve the system of equations, we can use the method of addition. Add the two equations together to eliminate the variable y:
(x + y) + (x - y) = 83 + 72x = 90x = 90 / 2x = 45With the value of x known, you can substitute it into the first equation to find y:
45 + y = 83y = 83 - 45y = 38Therefore, the two numbers are 45 and 38.
Fraction between 1/2 and 1/4 that has denominator of 19
Answer:
6/19
Step-by-step explanation:
Sine 19 divided by 2 is 9.5 and 19 divided by 4 is 4.75, you can choose any number from 4.75 to 9.5.
The fraction which falls within the given range with a denominator of 19 is 5/19
Fraction between 1/2 and 1/4 which has a denominator of 19
1/2 = 0.5
1/4 = 0.25
Value between 0.25 and 0.5 The fractional representation the value has a denominator of 19We could use trial and error method :
2/19 = 0.1025
3/19 = 0.1578
4/19 = 0.210
5/19 = 0.263
6/19 = 0.315
7/19 = 0.368
8/19 = 0.421
9/19 = 0.474
10/19 = 0.526
From the values above, the fractions which fall in range are ;
5/196/197/198/199/19Hence, any of the given fractions could be selected.
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In a sequence of numbers, a1=0, a2=6, a3=12, a4=18, and a5=24.
Based on this information, which equation can be used to find the nth term in the sequence, an?
an=−6n+6
an=−6n−6
an=6n+6
an=6n−6
To find the nth term in the following sequence we can use an = 6n-6 equation
Step-by-step explanation:
From the given equations it is clear that the series is in arithmetic progression (AP).So the series can be written as 0,6,12,18,24.Thus by substituting the value in the equation which is used for finding the value of the nth term in the arithmetic progression (AP) is an = a + ( n-1 ) × dHere a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series. Thus by substituting the value we get an = 0 + ( n-1 ) × 6 By solving we get an = 6n - 1.
The isosceles triangle has a perimeter of 7.5 m.
Which equation can be used to find the value of x if the shortest side, y, measures 2.1 m?
2 x minus 2.1 equals 7.5
4.2 plus y equals 7.5
y minus 4.2 equals 7.5
2.1 plus 2 x equals 7.5
The equation 2.1 plus 2 x equals 7.5 can be used to find the value of x ⇒ 4th answer
Step-by-step explanation:
In an isosceles triangle:
Two sides are equal ⇒ the angle between them is called the vertex angle of the triangleTwo angles are equal ⇒ they called the base angles∵ The triangle is isosceles
- That means it has two equal sides
∵ The shortest side is y
∵ The length of the other two sides is x
∴ The perimeter of the triangle = y + 2 x
∵ The perimeter of the triangle = 7.5 m
- Equate the expression of the perimeter by 7.5
∴ y + 2 x = 7.5
∵ The shortest side measures 2.1 m
∴ y = 2.1
- Substitute y by 2.1 in the equation above
∴ 2.1 + 2 x = 7.5
The equation 2.1 plus 2 x equals 7.5 can be used to find the value of x
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Answer:
D
Step-by-step explanation:
4.5 percent of what number is 33.5
Find the quotient 1/5 divided by 2
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mariah lives in a $75,000 wood house in the country with contents valued at
$10,000. Use the table below to calculate her monthly property insurance
premium
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building
rating
City 039
0 39 043 05 0.54 0.55 0.65 0.66
Suburb 0.45 052 056 0.63 0 .72 0.74 0.83
Rural 0.6 0.69 0.71 0.
8 0 .89 0.91 1 1
Contents
0.76
0.85
.02
The correct answer is $71.
Mariah's monthly property insurance premium, given that her $75,000 wood house and $10,000 contents are situated in a rural area, would be approximately $71.67.
Explanation:Calculating Mariah's Monthly Property Insurance Premium
To calculate Mariah's monthly property insurance premium, we need to note that her house is made of wood and that she lives in a rural area. In the table, the annual premium per $100 coverage for a wood building in a rural area is 1.0 and for the contents, it is 1.1.
Following the steps below, we can calculate Mariah's monthly property insurance premium:
First, we calculate the annual premiums by dividing the value of the house and the contents by $100 and multiply by the annual premium rates.
So, Mariah's monthly property insurance premium would be approximately $71.67.
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A line segment has endpoints j(2,4) and l(6,8) the point k is the midpoint of ja what is an equation of a line perpendicular to ja and passing through k
Answer:
An equation of a line perpendicular to ja and passing through k is:
y = -x + 10
A car travels on a highway at a constant speed of 67 miles per hour. Which equation and table shows the correct relationship between , the number of hours, and , the distance traveled
Answer:
Theres no tables but y=67x would be the equation
since 67 is the constant which =m in y=mx+b
What is
4+27÷(4+5) = ??
Answer:
7
Step-by-step explanation:
To solve this equation you have to use PEMDAS
Because of PEMDAS, we start with parenthesis.
4+27 ÷(4+5)= ? 4+5 = 9 4+27 ÷ 9 = ?
There are no exponents or multiplication so we skip to division.
4+27 ÷ 9 = ? 27 ÷ 9 = 3 4+3=?
Then we do addition
4+3 =7
What is the solution to the system of equations graphed on the coordinate plane? (4, 3) (3, 4) (2, 0) (5, 0)
Answer:B. (3,4)
Step-by-step explanation:
because looking at the x-axis we see that the 3 is pointing to that point, and looking at the y-axis we can see that the 4 is pointing to the same point as the 3. Therefore the answer is B (3,4)
Answer:
(3,4)
Step-by-step explanation:
when looking at the x and y axis on the graph you see where the lines intersect. when on the x-axis at 3 you go up 4 times and on the y-axis 4 you go to the right 3 times showing both lines intersecting each other.
took the quiz on edg :)
Select the correct answer from each drop down menu the cross-section is the intersection of a Solid or point and a plain in line
Answer:
Solid / plane
Step-by-step explanation:
A cross-section is a geometric concept, representing the intersection of a solid and a plane. The shape of the cross-section depends on how the plane intersects with the solid. A related physics concept is the continuity equation which states that the amount of incompressible liquid entering a cross-sectional area must equal the amount leaving it.
Explanation:In mathematical terms, a cross-section is usually the intersection of a 3-dimensional solid with a plane. This concept is often used in Geometry. For instance, if we intersect a cylinder with a plane perpendicular to the base of the cylinder, the cross-section will be a circle which is the same size as the base of the cylinder. On the other hand, if the plane is parallel to the axis of the cylinder, the cross-section would be a rectangle.
A related concept, from the field of Physics, as described in Figure 14.28, is the continuity equation, usually applied when analyzing fluid dynamics. The equation posits that the volume of fluid entering a cross-sectional area of a duct or pipe must equal the volume of fluid leaving it, assuming the fluid is incompressible. This is because the mass of liquid cannot change within a closed system.
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At a restaurant, the bill comes to $62. If you decide to leave a 10% tip, how much total do you need to pay? Give your
answer to the nearest dollar.
Answer:the tip itself will be $6.20 but in total it will all cost $68.20
Step-by-step explanation:
Solve the inequality. Graph the solution set.
5x - 6 > 4x - 8
Answer:
Step-by-step explanation:
sorry
no graph paper to graph
1,773 divided by 3 is what?
Answer: 591
Step-by-step explanation:
1773/3= 591
_____ life insurance is for a specific time period and is the cheapest way to buy life insurance.
Term life insurance is insurance that insures you for a certain time period like 5 years for example.
Usually in months and years is how its done.
Term life insurance is for a specific time period and is the cheapest way to buy life insurance.
Unlike permanent life insurance policies, which cover an individual for their entire life, term life insurance offers protection for a predetermined period, such as 10, 20, or 30 years. Because it does not accumulate cash value and only pays out a death benefit if the insured passes away during the specified term, premiums for term life insurance tend to be lower compared to permanent policies.
The affordability of term life insurance makes it an attractive choice for individuals seeking to secure financial protection for their loved ones during specific critical periods, such as the years when children are growing up or when a mortgage is being paid off.
It's a straightforward and efficient way to provide a death benefit for beneficiaries in case the insured passes away within the chosen term, offering financial security without the long-term commitment and higher premiums associated with permanent life insurance options.
A population mean of 360, a standard deviation of 4, and a margin of error of 2.5%
Answer:
(351.04, 368.96)
Step-by-step explanation:
Given that population mean= 360
Std devitaion = 4
margin of error = 2.5%= 0.025
Since population std deviation is known we can use Z critical value
For two tailed critical value for 2.5% would be
2.24
Margin of error = ±Critical value*std deviation
= ±2.24(4)
= ±8.96
Confidence interval =(Mean - margin of error, mean + margin of error)
=[tex](360-8.96, 360+8,.96)\\= (351.04, 368.96)[/tex]
Answer:
368 is the answer
Kim wants to earn at least $65 from her two jobs next week. At most, she can work 15 hours. Her first job pays $5 per hour, and her second job pays $7 per hour. Let x represent the number of hours worked at the first job and y represent the number of hours worked at the second job. Which system of linear inequalities models Kim's situation?
A)
+>15
x
+
y
>
15
5+7<65
5
x
+
7
y
<
65
B)
+≤15
x
+
y
≤
15
5+7≥65
5
x
+
7
y
≥
65
C)
+≤65
x
+
y
≤
65
5+7≥15
5
x
+
7
y
≥
15
D)
+>65
x
+
y
>
65
5+7<15
Final answer:
The correct system of linear inequalities that models Kim's work situation is option B, which includes the inequalities x + y ≤ 15 and 5x + 7y ≥ 65. These inequalities account for the maximum hours she can work and the minimum income she wants to earn. The correct option is B.
Explanation:
The student is asking for the system of linear inequalities that models Kim's work situation based on the hours she can work at two different jobs with different hourly rates. To model this situation, we have two variables: x for the number of hours worked at the first job and y for the hours at the second job. The first inequality comes from the maximum hours she can work, which is 15. Therefore, the combined hours worked at both jobs cannot exceed 15, which gives us:
x + y ≤ 15
The second inequality is derived from Kim's target earnings, which is at least $65. So, the income from both jobs combined must be at least $65, which gives us:
5x + 7y ≥ 65
Taking into account the given options, the correct system of linear inequalities is represented by option B:
x + y ≤ 15
5x + 7y ≥ 65
Find the seventh term in the sequence: 11, 13, 15,...
The seventh term is 23.
Step-by-step explanation:
Step 1: This is an Arithmetic Progression 11, 13, 15...Given, First term, a = 11
Step 2: Find Common difference, d = 13 - 11 = 2Step 3: Formula for nth term in an AP, a(n) = a + (n-1) d Step 4: Substitute for 7th term, a(7) = 11 + (7 - 1) 2= 11 + (6*2)
= 11 + 12 = 23
Angle C and P are
PLEASE HURRT!
Answer:
Same side interior angles
They are also supplementary (add up to 180 deg)
Step-by-step explanation:
see attached
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A new juice stand is serving free drinks at a community festival. It offers the following drink options.
Fruit: apple, mango, orange, lime
Cup size: small, regular, large
Ice: cubed, crushed
If drinks are randomly passed out from each of the options, what is the probability that the next drink given out will be a regular apple juice with cubed ice?
a. 1/9
b. 1/12
c. 1/24
d. 1/4
THX SO MUCH!!!!
The correct answer is 1/24
Fruit: apple, mango, orange, lime
Cup size: small, regular, large
Ice: cubed, crushed
If you count every variation you'll get to 24.
The chances are 1 in 24.
Solve this proportion. Show your work. 7/12 = 42/x
Answer:
42/72
Step-by-step explanation:
42/7=6
12*6=72
Select all ratios equivalent to 3:4.
11:16
11:16
18:24
18:24
15:20
15:20
T
Answer:
18:24
18:24
15:20
15:20
Step-by-step explanation:
Because 18/3:24/3 = 3:4
Also, 15/5:20/5 = 3:4
This is the answer to a problem or an equation.
Example: For 3x+6=27, this is x=7
Answer:
x=7 is the answer
3x+6=27 is the equation
x=7 is the correct answer for the equation.
To solve the equation 3x + 6 = 27, subtract 6 from both sides and then divide by 3 to get x = 7. Verify by substituting x = 7 back into the original equation. This confirms the solution is correct by making a true statement.
Step by Step Solution:
When solving an algebraic equation, the goal is to find the value of the variable that makes the equation true. For example, consider the equation 3x + 6 = 27. To solve for x, follow these steps:
Subtract 6 from both sides of the equation: 3x + 6 - 6 = 27 - 6, which simplifies to 3x = 21.
Next, divide both sides by 3: 3x / 3 = 21 / 3, which gives x = 7.
To verify the solution, substitute x = 7 back into the original equation: 3(7) + 6 = 27. Simplifying this, we get 21 + 6 = 27, which is a true statement, verifying our solution.
Note that an identity in algebra is an equation that is true for all values of the variable, such as 6 = 6. In our example, the solution x = 7 makes both sides of the original equation equal, thus satisfying the equation.