Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]
For the subtraction, we have that:
[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]
[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]
The probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]
[tex]Z = 0.57[/tex]
[tex]Z = 0.57[/tex] has a p-value of 0.7157.
1 - 0.715 = 0.284
0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
A similar problem is given at https://brainly.com/question/24663213
(3,1);m=4
(Write an equation in point slope form of the line that passes through the given point and has the given slope)
How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?
Answer:
25
Step-by-step explanation:
180(s-2)=4140
180s-360=4140
add 360 to both sides
180s=4500
divide both sides by 180
s=25
three-quarters the product of two numbers x and y
Answer:
xy=3/4
Step-by-step explanation:
since it says the "product"
it is x(y)
3/4 goes after the = sign
Help quick 20 points
Answer:
Step-by-step explanation:
1) isosceles triangle d = (180 - 110) / 2 = 35°
2) 2h + 3h + 4h = 180
9h = 180
h = 20
2h = 40°
3h = 60°
4h = 80°
ROOM
Write an equation in function notation for each situation.
1. The admission fee to a local carnival is $8. Each ride costs
$1.50
2. Steven buys lettuce that costs $1.69/1b.
3. An amusement park charges a $6.00 parking fee plus $29.99
per person.
4. A math tutor charges $35 per hour
5. A fitness center charges a $100 initiation fee plus $40 per
month
Answer:f(x)=1.5-x + 8
Step-by-step explanation:
Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.
Answer:
The gravitational force acting between the two bodies is given by:
F=G
r
2
m
1
m
2
G=
m
1
m
2
Fr
2
The dimension of the force is [MLT
−2
]
=
[M][M]
[MLT
−2
][L
2
]
=M
−1
L
3
T
−2
A desk is on sale for 15% off. The sale price is $612.
What is the regular price?
Answer:
$720
Step-by-step explanation:
Step 1: Set up the expression.
[tex]\frac{612}{1-0.15}[/tex]Step 2: Simplify.
[tex]\frac{612}{0.85}[/tex]Step 3: Convert 0.85 into a fraction.
[tex]612/ \frac{85}{100}[/tex] [tex]612/ \frac{17}{20}[/tex]Step 4: Multiply 612 by reciprocal of 17/20.
[tex]612 * \frac{20}{17}[/tex] [tex]36 * 20[/tex] [tex]720[/tex]Therefore, the regular price was $720.
If z varies directly as x and inversely as y and is equal to 4 when x and y have the values 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is equal to 5/28?
Answer:
[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],
z= 179.2 when y= [tex] \frac{5}{28} [/tex]
Step-by-step explanation:
Let's start by writing out the two general equations for z.
Since z varies directly with x,
z= kx, where k is a constant.
Since z varies inversely with y,
[tex]z = \frac{k}{y} [/tex], where k is a constant.
When x= 12, z= 4,
4= k(12)
12k= 4
k= 4 ÷12
k= ⅓
∴ z= ⅓x
When x=[tex] \frac{6}{7} [/tex],
[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]
[tex]z = \frac{2}{7} [/tex]
When y= 8, z= 4,
[tex]4 = \frac{k}{8} [/tex]
k= 4(8)
k= 32
[tex]∴z = \frac{32}{y} [/tex]
When y= [tex] \frac{5}{28} [/tex],
[tex]z = 32 \div \frac{5}{28} [/tex]
[tex]z = 32 \times \frac{28}{5} [/tex]
z= 179.2
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?
Answer:
answeris: C.(-6,-9)➡(6-9)
Determine whether the inverse of F(x) is a function.
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
64
96
144
208
Answer:
64
Step-by-step explanation:
6(12-3) + 4 + (3×2)
6(9) + 4 + 6
54 + 4 + 6
= 64
you have 12 pets and 2 die every 1 and half years how many are left
Answer; 0 ,2?
Step-by-step explanation:
im not so sure tbh its a lil confusing dont they tell how many years its been?
(HELP PLEASE 1!!!!!1!!) How can you tell if data is continuous or discrete
Answer:
Socratic app
Step-by-step explanation:
it will help you
What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same?
HELP ASAP!
Answer:
$7.04
Step-by-step explanation:
We use proportions so if 3/$5.28 = 4/x. X being the price of 4 pounds. X works out to 7.039 with the 9 infinitely repeating. We round it up for cents and we get $7.04
PLEASE HELP ME IN THIS, THIS ASSIGNMENT IS DUE IN 4 MINUTES, ITS A 6TH GRADER QUESTION
Answer:
3
Step-by-step explanation:
jesushhhh
Solve using elimination.
–4x + 9y = –18
–x − y = –11
7433654 round to the nearest thousand
Answer:
Already rounded to the nearest thousandth.
7433654.000
last month adhem ate 5 apples , 8 bananas , 7 Peaches , 10 oranges what the ratio of apples to the total of the fruit
Answer: 5:30
Step-by-step explanation: there are 5 apples and 30 total fruits.
Answer:
5:30 or simplified 1:6
Step-by-step explanation:
There are 30 fruits including the apples, and the apples only make up 5 of the fruits.
Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4
The solution is ____ (Type an exact answer in simplified form.)
Answer:
(x, y, z) = (2, -4, 3)
Step-by-step explanation:
It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].
__
If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.
r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement
r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement
r1 ← r1 -2·r2 +5·r3
__
r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.
_____
Additional comment
Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.
5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights
3 7/8 + 6 5/8 =
9 12/8 = 10 4/8
10 4/8 = 10 1/2
The answer is 10 1/2
If you are not looking for a mixed fraction it should be..
21/2
Nine more than the product of a number and 3 is equal to 6
Answer:
x = - 3
Step-by-step explanation:
9 more than the product of a number and three is equal 6.
9 + (x · 3) = 6
9 + 3x = 6
3x = -9 + 6
3x = - 3
x = - 3
Answer:
3x + 9 =6
Step-by-step explanation:
Solve for j.
19j–18j=12
j=
Answer:
12
Step-by-step explanation:
it should be 12 got it!
Hello, hope you are having a nice day.
Let's solve this equation for j. The first step is to combine like terms.
19j-18j=12
j=12
So j is 12. This is the answer.
Hope you find my answer helpful. Ask me if you have any questions.
~Just an emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck with your studies.
The additive inverse of [tex]a-b[/tex] is:
A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]
Additive inverse refers to any number that when added to the original number gives the result as zero.
[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]
3x-9=3
solve if you can
Finding the value of x,
→ 3x - 9 = 3
→ 3x = 3 + 9
→ x = 12/3
→ [ x = 4 ]
Thus, the value of x is 4.
-6x + 30 < -18. Help pls
Hello, hope you are having a splendid day.
-6x+30<-18
First, move all the numbers to the right, using the opposite operation:
-6x<-18-30
-6x<-48
Divide both sides by -6:
x>8
Now, if we divide both sides by a negative variable, we change the inequlaity sign.
Hope it helps.
Ask me if you have any queries.
[tex]MagicalNature[/tex]
Good luck.
Answer:
[tex]\boxed{\boxed{\sf x>8}}[/tex]
Step-by-step explanation:
[tex]\sf -6x\:+\:30\:<\:-18[/tex]
Subtract 30 from both sides:
[tex]\sf -6x+30-30<-18-30[/tex][tex]\sf -6x<-48[/tex]Multiply both sides by -1 :
[tex]\sf \left(-6x\right)\left(-1\right)>\left(-48\right)\left(-1\right)[/tex][tex]\sf 6x>48[/tex]Divide both sides by 6:
[tex]\sf \cfrac{6x}{6}>\cfrac{48}{6}[/tex][tex]\sf x>8[/tex]___________________________________
PLS HELP ME
what party was against a strong central government, government promotion of trade and industry?
A: Federalist
B: Democrat-republicans
C: Whigs
D: Democrats
I need it now pls it's a k-12 test
Answer:
the answer is a federalist and your welcome
Step-by-step explanation:
The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.
Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]
Answer:3.36
Hope it helps.
Do comment if you have any query
Solve for x. x+12−−−−−√=x√+2
~equality
x + 12 = x√+2
= x + 12 = √2 x
= x = √2 x - 12
= x - √2 x = -12
= (1 - √2)x = -12
= x = -12/1- √2
= x = -(-12(1 + √2))
= x = -(-12 - 12√12)
= x = 12 + 12√2 ✔️
~ nice to help you ^^
An electrician needs 1/2 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 1 1/2 rolls of wire?
I will give brainliest for answer and explanation
Answer: The number of rooms that can be wire with available rolls is 6 rooms Given as The quantity of roll of electrical wire does
Step-by-step explanation:
Hello. I am trying to figure out how to convert 17cm2 or cm squared to in2 (in squared)
Answer:
1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2
Step-by-step explanation:
Welcome, Brainlest Please?