Answer: x= 3.5 is -2. The mean is 6.5.
z score to the left is 2
Step-by-step explanation:
X is a normally distributed random variable with μ=6.5 (mean) and σ=1.5 (standard deviation). To calculate the z-score,
z=x−μσ=3.5−6.51.5=−31.5=−2
This means that x=3.5 is two standard deviations (2σ) below or to the left of the mean. This makes sense because the standard deviation is 1.5. So, two standard deviations would be (2)(1.5)=3, which is the distance between the mean (μ=6.5) and the value of x (3.5).
Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
--------------------------------
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]
The z-score measures how many standard deviations the measure X is from the mean, above or below.
X∼N(6.5,1.5), which means that [tex]\mu = 6.5, \sigma = 1.5[/tex].The measure is [tex]X = 3.5[/tex]The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.5 - 6.5}{1.5}[/tex]
[tex]Z = -2[/tex]
The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
A similar problem is given at https://brainly.com/question/13383035
Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive.
Step-by-step explanations:
Since the domain is a set of all real numbers, all the expression are with respect to real numbers.
a. 3 x,y : x/y < 1 ∧ y/x < 1
b. ∀x > 0, 1/x > 0
c. 3 x,y : x + y = xy
d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.
3 means "there exists"
∀ means "for every value of"
∧ means "and"
HELP A B OUT HELP A B OUT HELP A B OUT HELP A B OUT
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)?
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
Graph the line with the equation y = 1/5 x - 5 , ILL MARK BRAINLIST
Answer:
The line will cross point (0,-5) and (25,0)
Step-by-step explanation:
Proved graph in the picture using desmos graphing software
IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
3.28ft
Step-by-step explanation:
Rectangular Prism Formula:
l*w*d = v
(plug in values)
2.6*1.4*d=11.94
3.64*d=11.94
d = 3.28ft
Find the slope of the line through the given points.
(-7, 7), (-1, 10)
Answer:
slope={10-7)/(-1--7)=3/(-1+7)=3/6=1/2
Answer:
3/6 or 1/2 (simplified)
Step-by-step explanation:
Use the slope formula: (change in y)/(change in x)
Bob can eat 24 pizzas in 1 1/3 hours. How many pizzas per hour?
Answer:
Step-by-step explanation:
Which expression does not equal to the others?
A
567 /1,000
-------------------
B
56.7 / 10,000
----------------------
C
5.67 /10
---------------------
D
56.7 /100
Answer:
B is not equal to the others
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
The unknown measures 40
Step-by-step explanation:
Use the proportion that derives from the properties of parallel lines intersected by common transversals:
X/24 = 25/15 and solve for x
x = 25 * 24 / 15
x = 40
g(x)=1/6(8)^x-5. x=9
Answer:
[tex]g(9) = \frac{2048}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]x = 9[/tex]
Required
Solve
Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]
Remove bracket
[tex]g(9) = \frac{1}{6}* 8^4[/tex]
[tex]g(9) = \frac{1}{6}* 4096[/tex]
[tex]g(9) = \frac{1* 4096}{6}[/tex]
[tex]g(9) = \frac{4096}{6}[/tex]
Simplify fraction
[tex]g(9) = \frac{2048}{3}[/tex]
Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6
Answer:
a. 36
b. 18
c. 27
Write 125 as a fraction
reduced to lowest terms.
Answer:
1/8
Step-by-step explanation:
Hi can someone help me with these 2.
Step-by-step explanation:
13. 43/5 = 8 3/5
(I) he can make 8 rows .
(ii)= 3 soldiers will be left in the last row .
14. 17/2 = 8 1/2
I) she can make 8 booklets
2) yes she will have any extra sheet
3 ) 1 sheet will be left extra .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Question 5
How much food can this container hold? Express your
answer in terms of pi.
John owns a hot dog stand. His profit, in dollars, is given by the equation P(x) = -x + 10x + 34, where x is the number of hot dogs sold. What is the most he can earn?
O A. $39
OB. $59
O C. $99
O D. $25
Sam has 6 boxes of pencils. Each pack has x pencils in it. After Julie gives Sam 4 more pencils, he has a total of 40 pencils.
40 - (x + 4) = 6
6(x + 4 ) = 40
6x + 4 = 40
6 + 4x = 40
Answer:
6x + 4 = 40
Step-by-step explanation:
6 boxes
x = number of pencils per box
therefore Sam had 6x and received 4 more
Answer:
6x + 4 = 40
explanation
Step-by-step explanation:
6 boxes
x = number of pencils per box
therefore Sam had 6x and received 4 more
6. Pleassss helppp!
VALERIE
Select all of the expressions that are equivalent to 4(2x + y + 2y).
8x+12y
6x + 7y
8x+y+2y
8x+4y+8y
31 tds airastorg/student/V996/Pages/TestShellaspx
Answer:
Step-by-step explanation:
First expand the expression so you know the coefficients of x and y.
4(2x+y+2y) = 4(2x+3y) = 8x+12y
8x+12y = 8x+12y
6x+7y ≠ 6x+12y
8x+y+2y = 8x + 3y ≠ 8x+12y
8x+4y+8y = 8x+12y = 8x+12y
The equivalent expression is 8x + 4y + 8y.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
4(2x + y + 2y)
This can be simplified as,
8x + 4y + 8y
Thus,
The equivalent expression is 8x + 4y + 8y.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.
Answer:The answer is graph B.
Step-by-step explanation: It keeps going up at 0.50 because that is the price PER OUNCE for a serving between 0-8 ounces. The line on the graph is going straight at 4 because that is the price for ANY SERVING over 8 ounces/up to 12 ounces.
The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be? Show your work.
Answer:
4, 1.6, .4
add them together
you get 6
WILL MARK BRAINLYIST
Answer:
D = 45 and C = 26
Step-by-step explanation:
The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer
For D just divide 90 by 2 (90/2)=45
Answer: The person up their is correct
D = 45 and C = 26
Step-by-step explanation:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
https://magoosh.com/math/how-to-find-the-measure-of-an-angle/
:D that's where I got my information pls mark me brainlyist
Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate
Answer:
20 studenti fac laba on a romania
Answer:75%
Step-by-step explanation:
Total no. of students= 80
No. of students who voted the winning candidate=60
% of students that voted for the winning team=60/80 x 100%
the total for a restaurant bill is $95.20 if the bill is split among 8 friends equally, how much will each person pay
Answer:
11.90
Step-by-step explanation:
Solve the inequality: -3x > 15
The value of x in given equality -3x > 15 is -5.
We have given that inequality,
-3x > 15
We have to find the value of x.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two
Divide both sides by -3.
−3x /−3 > 15 /−3
x<−5
Therefore the value of x is -5.
To learn more about the inequality visit:
https://brainly.com/question/24372553
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A class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answer:
Step-by-step explanation:
what's the answer to this
which shows the product of 23 and 39
Answer:
23 * 29
Step-by-step explanation:
pls give thanks, 5 star, brainliest
does anyone have the answer please I’m begging.
Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase
7.5 lbs of walnuts? Explain or show your reasoning.
Answer:
$34.50
Step-by-step explanation:
First, how many 3/4 lbs are in 7.5 lbs?
7.5 lbs = 15/2 lbs.
(15/2) / (3/4) = 10
There are 10 "3/4" lbs in 7.5 lbs.
So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.
Let me know if this helps!
A trapezoid has 62 feet base and 36.4 feet base, as well as 70 feet height. What is the area?
Can one of you guys pls help
Answer:
Puts the dots where the A,B,C,D dots are and move them 5 units to the right.
Example:
Original place
A=(2,5)
Moved 4 units to the right:
A'=(6,5)
Here are some tips:
Up= Y value goes up
Down= Y value goes down
Right= X value goes up
Left X value goes down
