Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004
Using the relation ::
Zscore =(X - μ) ÷ σThe mean, μ = np = (162 × 19) = 3078
The standard deviation, σ = 28 × √19 = 122.049
The Zscore :
Zscore = (3401 - 3078) ÷ (122.049)
Zscore = 2.65
Hence,
P(Z > 2.65) = 1 - P(Z < 2.65)
Using a normal distribution table :
P(Z > 2.65) = 1 - 0.9959
P(Z > 2.65) = 0.004
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If the sales tax rate is 7.8%, what will be the amount of sales tax on a $74 calculator?
State your answer in terms of dollars, rounded to the nearest cent
Do not include a $ sign with your response.
Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation:
will this help
1. The value of angle A is
50°. What is the value of
angle B?
Answer:
130º
Step-by-step explanation:
a line is 180º so if one angle is 50 then it's just 180-50
A farmer has 15 boxes of eggs
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form
Total
I need help with this question. Please & thank you!
B
dividing with the same numbers and different exponents is like subtracting the exponents
16-8 = 8
Bài 1. Tính
a) 3x(2x – 5)
b) (x+1)(x + 4)
c) (7 – x)( x + 7)
d) ( + 2)2
e) (3 – 2x)2
f) (x – 2)(x2 + 2x + 4)
Bài 2. Phân tích các đa thức sau thành nhân tử:
a) 2−19
b) 2−2+ 2 - 100
c) xz + yz - 5(x + y)
d) 2+3++3
Bài 3. Tìm x biết:
a) 4x2 - 12x = 0
b) x2 – 5x = 0
c) x(2x – 7) + 4x – 14 = 0
F F F F F F F F F F F F F
Step-by-step explanation:F f
A water tank holds 1500 liters of water when it is full. If 2/3
of the tank is full, how
much more liters of water are needed to make the tank full?
fraction word problem
Answer: 500
Step-by-step explanation: A third of 1,500 is 500, and 2/3 of 1,500 is 1,000. So, 1,500 - 1,000 = 500 liters. Therefore, in order to make the tank full, 500 liters of water are needed.
Which statements include two quantities in the real world that are additive inverses?
Select each correct answer.
A. Mia walked 5 mi north and then walked 5 mi west.
B. A scuba diver descends 40 m from sea level and then descends another 10 m.
C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.
D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.
Answer:
C and DStep-by-step explanation:
Additive inverse is when two numbers add up to zero.
A. Mia walked 5 mi north and then walked 5 mi west.
False. It would be true if the directions are opposite.B. A scuba diver descends 40 m from sea level and then descends another 10 m.
False. It is - 40 - 10 = -50 m, not zeroC. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.
True. - $300 + $300 = 0D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.
True. The atom has neutral charge as + 2 + (-2) = 0Answer:
It is given
4x+3y=24
We can also write it as
3y=24−4x
y=324−4x
Substituting x=0 in the given equation
y=324−4(0)
So we get
y=324
By division
y=8
Substituting x=3 in the given equation
y=324−4(3)
So we get
y=312
BY division
y=4
Circle A has a circumference of 25 centimeters.
Circle B's diameter is 3 times as long as circle A's
diameter.
What is the circumference of circle B?
The circumference of circle B would be; 74.98 cm.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We have been given that Circle A has a circumference of 25 centimeters.
And Circle B's diameter is 3 times as long as circle A's diameter.
Thus, the Diameter of Circle B = 3 x the Diameter of Circle A
Since The circumference of the circle A = 2πr = 25
2πr = 25
r = 25/ 2π
r = 3.98 cm
The Diameter of Circle A = 2 x 3.98 = 7.96 cm
Since Diameter of Circle B = 3 x the Diameter of Circle A
Diameter of Circle B = 3 x 7.96 cm
= 23.88 cm
Radius = 23.88 / 2
Hence, the circumference of circle B = 2πr
= 2 x 22/7 x 23.88 / 2
= 74.98 cm
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In the diagram, lines BC and DE are parallel.
What is the measure of Zx?
Solve for y 2 y = A 2Y + B + A B
Call me when you want, call me when you need
Call me in the morning, I'll be on the way
Call me when you want, call me when you need
Call me out by your name, I'll be on the way like
Nia answered 18 of the 40 questions on the common assessment correctly. What percent of the questions did she answer correctly? What are you looking for? Circle one: Part whole percent
Answer:
Nia answerd 45% of the questions correctly.
-8 + r > -8
please show work
Hey there! :-)
-8+r>-8
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Hey there!
-8 + r > -8
= r > -8 + 8
= r > 0.
Steps :-
Write the equation.Bring -8 to the other side of the equation. It becomes +8. Now, add 8 & -8. We'll get 0.So, the answer will be r > 0.Hope it helps ya!
Will mark as brainlist answer quickly
Which one of the following is the same as 72 dekaliters ?
A. 72 dal
B. 72 dI
C. 72 deciliters
D. 72 ml
Answer:
72 dal
Step-by-step explanation:
short form to dekaliter is dal
Based on the abbreviations for various units of measurements, the best answer here is A. 72 dal
Units of measurements have shorter forms such as:
Liters ⇒ LMilliliter ⇒ MLDekaliters ⇒ DALAs the short form of dekaliter is dal, the first option must be correct as it is the same as 72 dekaliters albeit in a shortened form.
We can therefore conclude that 72 dal and 72 dekaliters are the same.
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hi could someone explain this??
im thinking it is J=50(15)^t???
Answer:
J=15t+50
Step-by-step explanation:
The equation to represent this situation will be in the form J=mt+b where b is the starting value of love units, m represents the "love units" that are multiplied by the number of week, t is the number of weeks, and J represents Jack's love at that specific week.
The equation becomes: J=15t+50
To check, the equation should equal 50 when t=0, 65 when t=1, and 80 when t=2.
Checking t=0:
J=15(0)+50=0+50=50
Checking t=1:
J=15(1)+50=15+50=65
Checking t=2:
J=15(2)+50=30+50=80
The equation J=15t+50 does model the behavior of Jack's love at any week t based on the given data. Note that the equation used was based on slope intercept form (y=mx+b) due to the given data having a linear relationship.
Find x Please Help Thank You
uhhhhhhhhhhhhhhhhh i have no clue so sorry
Find the equation of the linear function represented by the table
y 6 9 12 15
x 1 2 3 4
9514 1404 393
Answer:
y = 3x +3
Step-by-step explanation:
The slope of the line can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the first two sets of table values, this is ...
m = (9 -6)/(2 -1) = 3/1 = 3
You can find the point-slope equation using the form ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -6 = 3(x -1) . . . . . using the first point in the table
Solving for y gives ...
y = 3x -3 +6 . . . eliminate parentheses, add 6
y = 3x +3
Hopfuly someone will help me this time!
Answer:
B
Step-by-step explanation:
Write an equation in slope intercept form that goes through the point (5,-7) and is PARALLEL to the line y=-3x+8
Answer:
there is no line parallel to y = -3x + 8 that goes through (5, -7). this point falls on this line
Step-by-step explanation:
[tex]y = - 3x + 8[/tex]
[tex] - 7 = - 3(5) + b \\ - 7 = - 15 + b \\ b = 8[/tex]
The answer is
[tex]y = - 3x + 8[/tex]
hi po pahelp ito pls pls pls pls pls pls pls
conversion of temperature
buying groceries
checking weight
measuring length
-79=7w+3(4w-1) all steps please and quick
Identify the terms and like terms in the expression
t + 8 + 3t =
Answer:
jzjzhsjoqhzjs I I shxaoaas
the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP
I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get
[tex]\frac { a } { ( a - b ) ( a - c ) } + \frac { b } { ( b - c ) ( b - a ) } + \frac { c } { ( c - a ) ( c - b ) }[/tex]
the formula is the question pleaseee helppp quickkk
Answer:
0
Step-by-step explanation:
[tex]\frac{a}{(a-b)(a-c)} +\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\\= \frac{a}{(a-b)(a-c)} -\frac{b}{(b-c)(a-b)}+\frac{c}{(a-c)(b-c)}\\\\= \frac{a(b-c)-b(a-c)+c(a-b)}{(a-b)(a-c)(b-c)}}\\\\= \frac{ab-ac-ab+bc+ac-bc}{(a-b)(a-c)(b-c)}}\\\\= \frac{0}{(a-b)(a-c)(b-c)}}\\\\= 0[/tex]
Urgent Help Please!!!
Answer:
the x = 50 degrees, just because the sum of the angles of the triangle = 180 degrees, then the ABD triangle = 50 + 78+52 = 180, also the line AC will have 180 degrees, so the sum 78 + 102 = 180, and the BCD triangle is 102+ 50+28 = 180 and the ABC triangle also is 50+102+28=180
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
Answer:
Isis 18 and her sister 26Step-by-step explanation:
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
(44 - 8) : 2 = 18
18 + 8 = 26
------------------------
check
23 + 18 = 44
the answer is good
A man finished 2/3 of a project in 4hours. Working at the same rate, how long will it take him to finish 5/6 of the same project?
It will take 6 hours to finish the same project.
How to find the time taking to finish the project?From the given information, we get
[tex](\frac{5}{6} * \frac{2}{3} ) * 4[/tex] = 6
The answer is 6 hours.
What is problem-solving?Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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Which of the following is the graph of y=sqrd-x-3?
___________
[tex] \: [/tex]
y = [tex]\sqrt{-x - 3}[/tex]
graph in picture!
1 * w^3
how do you multiply these
Answer:
it will be w^3
Three workers worked for 5 hours, 7 hours and 12 hours. The total wage of $
13200 was divided among the three workers according to the number of hours of
work they did. How much did each get?
Answer:
Worked 5 hours: $550
Worked 7 hours: $2,750
Worked 12 hours: $6,600
Step-by-step explanation:
5+7+12=24
13200/24 = 550
(5)*(550) = 2,750
(7)*(550) = 3,850
(12)*(550) = 6,600
Write three expressions that are equivalent to 8x + 16.
Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D