The approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41
How to determine the probability?The given parameters are:
Mean, μ = 89.46
Standard deviation, σ = 2.31
The z-score at x = 90 is calculated using
[tex]z = \frac{x - \mu}{\sigma}[/tex]
This gives
[tex]z = \frac{90 - 89.46}{2.31}\\[/tex]
Evaluate
z = 0.234
The probability is then calculated as:
P(x >90) = P(z > 0.234)
From z table of probabilities, we have:
P(x >90) = 0.41
Hence, the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41
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Please awnser my other question
Answer:
S = (-6, -1)
T = (-7, 4)
U = (-6, 9)
V = (-4, 4)
PLEASE HELP WILL GIVE BRAINLEST!
Answer:
pi/2
Step-by-step explanation:
We know that,
Length of arc=r*(theta) where r=radius and theta is angle
Given- unit circle, it means circle have raduis=1
Theta=90° or (pi/2)
Hence,
Length of arc is = 1*(pi/2)
= pi/2
Hence option two is correct
4+4(5+2²)
Using order of operations
Hey there!
Do PEMDAS to solve.
PEMDAS simply means.
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtract
Some people use this method to make PEMDAS easier to understand
• Please
• Excuse
• My
• Dear
• Aunt
• Sally
4 + 4(5 + 2^2)
= 4 + 4(5 + 2 * 2)
= 4 + 4(5 + 4)
= 4 + 4(9)
= 4 + 36
= 40
Therefore, the answer should be: 40
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
1
Select the correct answer.
Which function defines (f + g)(),
f(t) = ln(2x) – 15
g(x) = 3 sin(I) – 7
=
OA. (f + 9) () = ln(2x) + 3 sin(x) + 22
3a )
OB
B. (f + g)() = ln(2x) + sin(o) – 66
OC. (f + 3)(0) = ln(2x) + 3 sin(a) – 22
(
In
D. ( + g)(x) = ln(2x) – 3 sin(x) = 8
Reset
Next
The addition of the functions f(x) and g(x) will be ln (2x) + 3 sin(x) – 22. Then the correct option is C.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The functions are given below.
f(x) = ln (2x) – 15
g(x) = 3 sin(x) – 7
Then the addition of the function will be
(f + g)(x) = f(x) + g(x)
(f + g)(x) = ln (2x) – 15 + 3 sin(x) – 7
(f + g)(x) = ln (2x) + 3 sin(x) – 22
Then the correct option is C.
More about the function link is given below.
https://brainly.com/question/5245372
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Answer:
See photo
Step-by-step explanation:
Plato/Edmentum
Consider functions f and g
vvvv
Answer:
C. 77x⁷ + 78x⁶ - 27x⁵
Step-by-step explanation:
Operation of functions
f(x) g(x)
f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)
Simplify or expand
(11x³ - 3x²)(7x⁴ + 9x³)
Expand the expression
11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³
Multiply
77x⁷ + 99x⁶ - 21x⁶ - 27x⁵
Combine like terms
77x⁷ + 78x⁶ - 27x⁵
Hope this helps and have a nice day
Can a triangle be made with the sides 15, 15, 30?
Answer:
No
Step-by-step explanation:
15^2+15^2=450 not 900=3^2
Hope this helps! ;-)
Lukas is researching animals for a project. He has already researched 8 animals in school and continues to research 2 new animals each week from home. Choose the equation where w represents the number of weeks since Lukas started his research at home and n represents the number of animals Lukas has researched.
PLEASE ANSWER
Answer:
8+2w=y
Step-by-step explanation:
Calculate the price of melons if melons cost $2.38 a pound and the melon on the scale weighs 2.2 pounds, making sure to round your answer to the nearest cent.
Answer:
$5.24 to nearest cent.
Step-by-step explanation:
Price of 2.2 pounds
= 2.38 * 2.2
= $5.236
In a batch of 390 water purifiers, 12 were found to be defective l. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
Answer:
3.08 percent
Step-by-step explanation:
if you do proportions, then it would go like this:
12/390 = x/100
(cross multiply)
390x = 1200
(divide both sides by 390 to get x by itself)
x = 3.07692307692
round and its about 3.08 percent
sorry if its wrong im only in 6th grade
HELP PLS !!!! help help help
Answer:
x = 6
Step-by-step explanation:
(17*6)+6 = 108
Can you help me plesae !?
Answer: Heyaa! ~
Your Answer is... 26.8
Step-by-step explanation:
The estimated answer is D. 27!
Hopefully this helps you! ^^
Answer:
27
Step-by-step explanation:
12.18 + 14.62= 26.80
if the number after the point is greater than 5 or equal to 5, we will add 1 to the number before the point, so now the number is 8 we will add 1 to the number before the point
26+1=27
therefore the sum of 12.18+14.62 = 27
What is the value of y in the solution to this system of equations?
3x + 2y = -12
2x + y = 4
A.
B.
C.
D.
-36
-12
4
20
Answer:
x= 20,y= −36
Step-by-step explanation:
3x+2y=−12
2x+y=4
Subtract 2x
from both sides of the equation.
y=4−2x
3x+2y=−12
Replace all occurrences of y
with 4−2x
in each equation.
Tap for more steps...
−x+8=−12
y=4−2x
Solve for x
in −x+8=−12
.
Tap for more steps...
x=20
y=4−2x
Replace all occurrences of x
with 20
in each equation.
Tap for more steps...
y=−36
x=20
The solution to the system is the complete set of ordered pairs that are valid solutions.
(20,−36)
The result can be shown in multiple forms.
Point Form:
(20,−36)
Equation Form:
x=20,y=−36
Multiply 2 with (1) and 3 with (2)
6x+4y=-24--(1)6x+3y=12--(4)Subtract
y=-24-12y=-36find the surface area of the cube
Answer:
150
Step-by-step explanation:
Knowing that a cube has 6 faces which all are equal.
Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.
Since, it given that one face is 5 cm
Then, we also must know the formula for area of a cube
Which is:
[tex]Area=6a^2[/tex]
Thus,
[tex]Area=6a^2[/tex]
[tex]Area=6(5)^2[/tex]
[tex]Area=6(25)[/tex]
[tex]Area=150[/tex]
Kavinsky
.
A baseball coach draws names to decide who will be the first player at bat There are 5 girls and 10 boys on the team Describe and explain the probability of each outcome
a. The first batter is a girl
b. The first batter is a boy
Using the probability concept, it is found that:
a) P(girl) = 1/3, which means that 1/3 = 33% of the time, the first batter will be a girl.
b) P(boy) = 2/3, which means that 2/3 = 67% of the time, the first batter will be a boy.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, in a total of 15 people, 5 are girls and 10 are boys, hence:
P(girl) = 5/15 = 1/3.P(boy) = 10/15 = 2/3.More can be learned about probabilities at https://brainly.com/question/14398287
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I will give 20 points and maybe brainiest, please help me
Answer:
The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.
Step-by-step explanation:
We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.
Hope this helps:) Goodluck!
Someone please help me before I frl cry
Answer:
Equation: 4x = 128
[tex]m\angle 1 = 84\degree[/tex]
[tex]m\angle 2 = 96\degree[/tex]
Step-by-step explanation:
[tex]m\angle 1+ m\angle 2 =180\degree[/tex] (Linear pair angles)-> (x + 52)° + (3x)° = 180°-> (4x + 52)° = 180° -> 4x + 52 = 180-> 4x = 180 - 52-> 4x = 128 ( This is the required equation)-> x = 128/4-> x = 32[tex]m\angle 1 = (32+52)\degree = 84\degree[/tex][tex]m\angle 2 = (3*32)\degree = 96\degree[/tex]Using the equation, y=5x²−17x −12, determine whether the parabola opens upward or downward.
Answer:
opens upwards
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
• if a > 0 then parabola opens upwards
• if a < 0 then parabola opens downwards
given
y = 5x² - 17x - 12
with a = 5 > 0
then parabola opens upward
A hotel with 80 rooms has 45 for doubles
and 35 singles. Singles can be booked in
any room, but reservations for two or
more people must be booked in double
rooms.
Let x be the number of single reservations and y
the number of reservations for two or more.
Which system of inequalities represents this
situation?
Click on the correct answer.
x ≥ 35 x + y ≤ 80
y ≤ 45 x + y ≤ 80
x≤ 35 x+y≤ 80
y≥ 45 x + y ≤ 80
Answer:
y ≤ 45
Step-by-step explanation:
First y must be less than or equal to 45.
y ≤ 45 x + y ≤ 80
And total number of reservations cannot exceed 80:
x + y ≤ 80.
Graph a line to represent the linear equation y=54x−4.
Answer:
yes it represents it because the linear equation
Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab
Answer:
AB=5
Step-by-step explanation:
3x-4=5x-10
-4=2x-10
6=2x
3=x
AB= 3(3)-4
9-4
5
Answer:
ab = 5.
Step-by-step explanation:
As the 2 sides are equal in length:
3x - 4 = 5x - 10
3x - 5x = -10 + 4
-2x = -6
x = 3.
So ab = 3x-4 = 3(3)-4
= 5.
HURRY UP (100) POINTS PLS HURRY (10 MINS LEFT)
Translate the following equation into words: 5c - 4 = 11 Five, times a number minus four, is eleven. A number, times five minus four, is eleven. Five times a number, subtracted from four, is eleven. Four less than the product of five and a number, is eleven.
Answer:
Four less than the product of five and a number, is eleven.
Step-by-step explanation:
"The product of five and a number": 5c
"Four less than": - 4
"is eleven": = 11
"Four less than the product of five and a number is eleven":
5c - 4 = 11
Four less than the product of five and a number is eleven
No is cProduct of 5 and c is 5c
4 less than it means 5c-4
The result is 11
So expression is 5c-4=11PLEASE SOMEONE HELP ME 50 POINTS AND I WILL MARK A BRAINLIEST
Answer:
First one is a, second one is d, and the third one is b
Step-by-step explanation:
hope this helps friend
7. Graph the equation using the slope and the y-intercept.
Please help
Answer:
See below ~
Step-by-step explanation:
Work out the equation of the line which has a gradient of 1/2 and passes through the point (2, -5)
Answer:
y=½x-6
Step-by-step explanation:
m= ½
equation of the line: y-y1=m(x-x1)
y+5=½(x-2)
y=½x-6
Answer:
[tex]y =\dfrac{1}{2}x-6[/tex]
Step-by-step explanation:
Point-slope formula
[tex]y-y_1=m(x-x_1)[/tex]
where:
[tex]m[/tex] = slope (gradient)[tex](x_1,y_1)[/tex] = point on the lineGiven:
Gradient (m) = ¹/₂Point = (2, -5)Substitute the given values into the formula:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-(-5) & =\dfrac{1}{2}(x-2)\\\\y+5 & =\dfrac{1}{2}x-1\\\\y & =\dfrac{1}{2}x-1-5\\\\y & =\dfrac{1}{2}x-6\end{aligned}[/tex]
Supply the missing number in the sequence: 10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000
The missing number in the sequence is 31
How to complete the sequence?The sequence is given as:
10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000
The above sequence is a base 16-n sequence numbers
In base 16-n, the next number after 24 is 31
So, the complete sequence is:
10,11,12,13,14,15,16,17,18,19,20,22,24, 31, 100, 121, 10,000
Hence, the missing number in the sequence is 31
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How do I solve x - 6 1/2 = 3 2/3
Pls explain ur answer and how I can improve I’m having math finals
Answer:
10 1/6
Step-by-step explanation:
First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.
So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.
Then, you can rewrite your equation using the improper fractions:
x - 13/2 = 11/3
Then, add 13/2 to both sides since it is being subtracted:
x = 13/2 + 11/3
Add the fractions by multiplying the denominators of each by the fraction of the other:
3(13/2) = 39/6
2(11/3) = 22/6
Add the fractions:
39/6 + 22/6 = 61/6
Simplify the fraction:
10 1/6
Answer:
10 1/6 or [tex]10\frac{1}{6}[/tex]
Step-by-step explanation:
The BEST, BASIC, FAST trick to find x in these situtations
If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result. If you're doing addition, then you do subtraction in the same way.
Multiplication -> Division
Divisioin -> Multiplication
these 2 also in the same way!
Why do to do this?
Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.
Now, solving the problem!
[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]
So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]
Thanks!
I hope I could help!
:D
Hi can someone help me with my math homework thankyouu
Answer:
Move the decimal point in 70.91 three places to the right
so that it becomes 70910.
PLEASE HELP ME LOL. (2.4 x 10^5) + (6 x 10^²) =?
Answer:
240,600
Step-by-step explanation:
10⁵=100,000
2.4×100,000=240,000
10²=100
6×100=600
240,000+600=240,600
write the equation in the slope intercept form of the line shown on the graph
The battery life of a fully charged cell phone is normally distributed, with a mean of 14 hours and a standard deviation of 2 hours. What is the probability that a randomly selected cell phone will have a battery life of at least 8 hours
Answer:
.0013
Step-by-step explanation:
8 hours is 3 standard deviations BELOW the mean z-score = -3
from z scor table , tis corresponds to .0013
