The correct option is option (d).
To solve this problem, we need to find the probability that two randomly selected packages are both more than 4.5 pounds. Since the distribution is normal, we can use the standard normal distribution table to find the probability.
The first step is to standardize the weight of the packages by subtracting the mean from the weight and dividing it by the standard deviation. The weight of 4.5 pounds is the mean, so the standardized weight is (4.5 - 4.5) / 1.8 = 0.
The probability that a package weighs more than 4.5 pounds is the same as the probability that a standardized package weighs more than 0. This probability is equal to 1 - P(Z < 0) , where Z is the standardized weight.
Using a standard normal distribution table, we find that P(Z < 0) = 0.5. Therefore, the probability that a package weighs more than 4.5 pounds is 1 - 0.5 = 0.5.
Since the two packages are independent, we can find the probability that both packages are more than 4.5 pounds by multiplying the probability of one package being more than 4.5 pounds by itself. So, the probability that two randomly selected packages are both more than 4.5 pounds is 0.5 * 0.5 = 0.25.
In conclusion, the probability that two randomly selected packages are both more than 4.5 pounds is 0.25
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Which expression is equivalent to
Answer:
4 ^ -8
Step-by-step explanation:
a rectangular prism has dimensions of 8cm by 9cm by 10cm what is its volume?
A rectangular prism has dimensions of 8cm by 9cm by 10cm therefore the volume is 720cm³.
What is Volume?This is referred to as the measure of the space occupied within the boundaries of any three-dimensional solid.
Volume of rectangular prism = l × w × h where l is length, w is width and h is height.
Volume = 8cm × 9cm × 10cm = 720cm³.
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9. Simplify: of 2÷3 of (3÷4-1÷3)
Answer:
5/18
Step-by-step explanation:
Following order of operations rules, we must do the work inside the parentheses first, and inside the parentheses we must divide as indicated before doing the subtraction.
(2/3)( [3/4] - [1/3] )
3/4 and 1/3 have different denominators so must be rewritten using the LCD (12):
(2/3)(9/12 - 4/12) = (2/3)(5/12) = 10/36 = 5/18
-1=1/3v
show work
∨=
⇄
Answer:
v = 1/-3
Step-by-step explanation:
cross multiply
-3v = 1
then:
divide through by the coefficient of v which is -3
-3v/-3 = 1/-3
[tex]-1=\dfrac{1}{3} v[/tex]
Flip:
[tex]\dfrac{1}{3} v=-1[/tex]
Multiply both sides by 3:
[tex]3\times(\dfrac{1}{3} v)=3\times(-1)[/tex]
[tex]\fbox{v = -3}[/tex]
How do you write 125 in scientific notation?
Answer:
1.25 x [tex]10^2[/tex]
Step-by-step explanation:
Move the decimal point to make 125.0 a new number between 1 and 10. Because our number is greater than 10, we move the decimal point to the left. Drop any trailing zeroes. Keep track of how many times we move the decimal point. 125.0 -> 1.25. Our new number is 1.25. We moved the decimal point 2 times.
C. It will
make 18 more parts.
5
Which number line shows the solution set to 1< -49 - 13/9 x <55/3?
The inequality is x 26 and asks for the values of x where the perimeter of the rectangle is smaller than 112.
The definition of inequalityIn mathematics, a link between two terms or values that isn't comparable is referred to as an inequality. As a result, imbalance leads to inequality. A mathematical inequality is a relationship between two non-equal expression . Egality is distinct from inequality. The not common basic is frequently used to denote that two values aren't actually equal (). Various inequalities are used to contrast the values, no matter how small or large. Many simple inequalities can be resolved by switching the two aspects until the variables are the only thing remaining. But a number of things encourage inequality: Values that are negative are divided or added along either side.
Here,
given
A rectangle's perimeter is determined by its length, width, and height.
rectangle's perimeter is calculated as length + length + width + width.
(x +4) + (x+4) + x + x < 112
x + 4 + x + 4 + x + x < 112
4x + 8 < 112
4x < 104
x < 26
In order to find the x value that occur when the rectangle's boundary is less than 112, the inequality is x 26.
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Solve each equation. State any extraneous solutions.
11/2x + 2/4x = 1/4
Which graph represents-3x - 4y ≤ 2?
Answer:
Es la b
Step-by-step explanation:
Can someone please help me with this?
Answer:
Choice C
Step-by-step explanation:
Rational numbers are any number that can be written as a quotient or fraction.
PLEASE HELP ME FILL OUT NUMBER 2 I DID THE OTHER QUESTIONS FOR YOU TO USE
1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 foot per year.
a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.
Y=3/4x+3
b) What does the y-intercept represent in your equation
Stands for feet Y=3
c) Determine the height of the tree in 3 years.
Y=3/4×3+3=9/4+3=21/4=5.25 feet
2. Could the equation 3x - 4y = - 12 be used to represent the same information in question #1? Explain your reasoning
a) What does the 3 and the 4 in this equation tell us?
b) Using this equation can you tell me how tall the tree will be in 24 years?
c) Using the equation find the x-intercept. What does this mean in this problem?
1)
a) The equation Y=3/4x+3 can be used to represent the growth of the trees over time.
b) The y-intercept in this equation represents the starting height of the trees, which is 3 feet.
c) In 3 years, the height of the trees will be 5.25 feet according to the equation.
2)
No, the equation 3x - 4y = -12 cannot be used to represent the same information in question #1. This equation is not in slope-intercept form, which is necessary to represent a linear relationship between two variables.
a) The 3 and the 4 in this equation are coefficients of the variables x and y, respectively. They do not represent any specific value or quantity in the context of the problem.
b) It is not possible to determine the height of the tree in 24 years using this equation because it is not in the correct form.
c) To find the x-intercept, we can set y to 0 and solve for x. This gives us x = -3. The x-intercept in this equation represents the number of years at which the height of the tree is 0 feet. This does not have any meaning in the context of the problem.
A stained glass window at the town library is the shape of a regular octagon. Which of the following describes a regular octagon?
I'll give brainliest PLZZZ!
Solve the following problem using the elimination method:
-3x + 7y = 12
x - 2y = -3
Answer:
x= 3. y = 3
Step-by-step explanation:
-3x + 7y = 12. #1
x - 2y = -3. #2
Multiply Eqtn #2 by 3 and add the two together:
-3x + 7y = 12
3x - 6y = -9
or. y = 3
Plug this value into Eqtn #2 and you'll get
x = 3
The vertices of DEF are D(-2, 5), E(5, 1), F(-4, -5). Find the coordinates of the orthocenter of DEF
Using a graph, the orthocenter for this triangle has a coordinate at (x, y) are (-0.46, 0.2)
What is an OrthocenterThe intersection of a triangle's three elevations is called the orthocenter. It is the intersection of the three lines that run perpendicular to the triangle's three sides. Due to its several intriguing characteristics, the orthocenter is a crucial place in the study of triangles..
In this problem, we need to use a graphing calculator and plot each of the coordinates and then find the orthocenter which is an equidistant position from all the coordinates.
In this particular problem, the orthocenter for this triangle is (-0.46, 0.2)
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0.6. Divided by 01.518
Answer:
0.4
Step-by-step explanation:
0.6÷1.518=0.395256917
A water desalination plant can produce 2.8 * 10 to the power of 6 gallons of water in one day. How many gallons can it produce in 5 days?
Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.
What is the difference between factors and multiplies?A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.
Here,
So if there was 5 days, it would produce 5 times the amount above.
So 5 × (2.8 × 10⁶) = 14 × 10⁶
We must rewrite in scientific notation, so:
14 x 10⁶ = 1.4 x 10⁷
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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.
What is the difference between factors and multiplies?A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.
Here,
So if there was 5 days, it would produce 5 times the amount above.
So 5 × (2.8 × 10⁶) = 14 × 10⁶
We must rewrite in scientific notation, so:
14 x 10⁶ = 1.4 x 10⁷
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The mid point of the line segment joining the points A -2,8 and B-6,-4is
Answer:
(- 4, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A (- 2, 8) and (x₂, y₂ ) = B (- 6, - 4) , then
midpoint = ( [tex]\frac{-2-6}{2}[/tex], [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-8}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 4, 2 )
(100 points) This is 100 points. It's hard, so please take question seriously.
Compare and contrast those sounds to the frequency of your tone. What conclusions can you make about frequency?
Write each frequency in the equation:
Frequency = 1 / period
Answer:
How long does my answer have to be?
Step-by-step explanation:
5
Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
What are the missing segment lengths shown in the image?
20
10 10√3
20√3 10 2 20√2
45° 45°
4
45°
20
00
45°
The missing segment lengths are CD = 10√2, AC = 10√2, BC = 10 and AB = 10.
Drag each length to the correct location accordingly
How to find the missing segment lengths?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
In ΔACD,
sin 45° = CD/20 (sin = opp/hyp)
(√2)/2 = CD/20
CD = (√2)/2 × 20
CD = 10√2
cos 45° = AC/20 (cos = adj/hyp)
(√2)/2 = AC/20
AC = (√2)/2 × 20
AC = 10√2
In ΔABC,
sin 45° = BC/10√2 (sin = opp/hyp)
(√2)/2 = BC/10√2
BC = (√2)/2 × 10√2
BC = (10 × 2)/2
BC = 10
cos 45° = AB/10√2 (cos = adj/hyp)
(√2)/2 = AB/10√2
AB = (√2)/2 × 10√2
AB = 10
Drag each length of the missing segment to the correct location
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What is the experimental probability of NOT landing on green
22%
25%
75%
78%
#15 Please answer the question
Answer:
e
Step-by-step explanation:
You need to split it in half then multply then add
Answer:
100 ft^2
Step-by-step explanation:
The large upper rectangle has dimensions 12 ft by 23 ft, and thus has area 276 ft^2. The small lower rectangle is 15 ft by (12 - 7) ft, or 15 t by 5 ft, and thus has area 75 ft^2. The total area is
75 ft^2 + 25 ft^2, or 100 ft^2.
Mrs. Smith went to the grocery store and bought the fruit below.
2.86 pounds of apples
4.5 pounds of oranges
3 pounds of grapes
2.33 pounds of bananas
How many total pounds of fruit did Mrs. Smith buy?
Answers:
12.69
12.66
13.69
126.9
(I will mark you brainliest)
The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.
Answer:
250 small cubes
Step-by-step explanation:
Because the volume of the bigger cube 30000
divided by the volume of the smaller cube 120 is 250
30000/120=250
Question down below :)
Answer: 16 it right i hope or 6
Step-by-step explanation:
Please help me with my work
Answer:
16p^12 q^4
Step-by-step explanation:
Open up the parenthesis and simplify.
2^4 is 16
p^3 times ^4 is p^12
q times ^4 is q^4
So your answer is 16p^12 q^4
Answer:
16p^12 q^4
Step-by-step explanation:
This is because the power 4 will multiple with all the variables inside
hence, p^3 will become p^12
and q^1 will become q^4
the power 4 will also change 2 into 2^4 which is 16
40 Which scatterplot does NOT suggest a linear relationship between x and y?
9
9
8
0
2
7
9
6
H
5
4
5
4
3
2
2
1
1
1 2 3 4 5 6
6
0
0
1 2 3 4 5 6 7 8 9
6
.
2
3
D
5
5
4
4
3
2
2
1
1
0
0
3 4 5 6 7 9
1 2 3 4 5 6 7 8 9
1 2
Answer:
D
Step-by-step explanation:
the last graph
On a number line -1 2/3 (negative one and two-thirds) would be placed between what 2 integers? *
A number cube is tossed 60 times.
Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8
Determine the experimental probability of landing on a number less than 2.
35 over 60
25 over 60
13 over 60
12 over 60
Experimental probablity will be - 12 over 30
Answer: D: 12/60 (12 over 60)
Step-by-step explanation:
11c+ 8) (-9c - 1)
Help plssss
Answer:
Step-by-step explanation: (11c + 8) (-9c - 1)
Then expand
which would be 11c ( -9c - 1) + 8 ( -9c - 1)
-99c^2 -11c - 72c - 8
It becomes -99c^2 - 83c -8
I hope this was helpful
solve this please (quick)
Answer:
4x10^12, or the 4th one
Step-by-step explanation: