Answer:
z = - 0.02
Step-by-step explanation:
0.3 = -15z
0.3 / -15 = z
-0.02 = z
Answer:
Z= - 0.02
Step-by-step explanation:
0.3=-15 *Z
Z= 0.3 / - 15
Z= - 0.02
First answer gets Brainlyist
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU!!!!!
Answer: 7 pt
Step-by-step explanation:
1 U.S pt is 2 cups
take 14 divided by 2
= 7
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 15% vinegar. The chef wants to make 240 millimeters of a dressing that is 13% vinegar. How much of each brand should she use?
Answer:
48 mL 5% vinegar, 192 mL 15% vinegar
Step-by-step explanation:
If x is volume of 5% vinegar, and y is volume of 15% vinegar, then:
x + y = 240
0.05 x + 0.15 y = 0.13 (240)
Solve with substitution:
0.05 x + 0.15 (240 − x) = 0.13 (240)
0.05 x + 36 − 0.15 x = 31.2
0.10 x = 4.8
x = 48
y = 192
Classify the two given samples as independent or dependent. Sample 1: Pre-training blood pressure of 17 people Sample 2: Post-training blood pressure of 17 people a. dependent b. independent
Answer:
Sample 1 : independent
Sample 2 : dependent
Step-by-step explanation:
From the question we are told that
The given date is
Sample 1: Pre-training blood pressure of 17 people
Sample 2: Post-training blood pressure of 17 people
Now Sample 1 is independent because the Pre-training blood pressure of 17 people does not depend of Post-training blood pressure of 17 people
While
Sample 2 is dependent because the Post-training blood pressure of 17 people is dependent on the Pre-training blood pressure of 17 people
True or False: Results that are practically significant will always be statistically significant.
Answer:
This is false
Step-by-step explanation:
Because we have to understand that some times sample mean may be very high that is they may be practically significant but are not statistically significant because the calculated p-value is not less than alpha value which could only mean that they could occur as a result of mere chance.
Can someone help me with this?
Answer:
rational, Natural, Integer, whole
Step-by-step explanation:
remember your perfect squares
the sqrt of 25 is a perfect square
sqrt of 25 is 5
5 is all except irrational
The ratio of boys to girls in Mrs. Johnson's class is 4 to 5. There are 10 girls in the class. What is the total number of students in Mrs. Johnson's class?
Answer:
i think it would be 18 kids in the class
Step-by-step explanation:
since for every 4 boys there are 5 girls and so it means
so for every 10 girls there would be 8 boys
Which algebraic expression is a polynomial
Easy math please help I don’t wanna fail
Answer:
18 on the left 29 on the right
Step-by-step explanation:
LEFT SIDE
There is one row of 10 cubes and one row of 8 cubes making 18
RIGHT SIDE
There are two rows of 10 cubes and 1 row of 9 cubes making 29
The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: (a) Indicate the percentage or score called for by the problem.(b) draw a rough sketch, darkening in the portion of the curve that relates to the answer, and1) What percentage of the persons who take the test score above 1300?2) What percentage score above 800?3) What percentage score below 1200?4) Above what score do 20% of the test-takers score?5) Above what score do 30% of the test-takers score?
Answer:
1.)6.68% ; 2)84.13% ; 3)84.13% ; 4)1168 ; 5)1105
Step-by-step explanation:
Given a normal distribution with:
Mean (m) = 1000
Standard deviation (sd) = 200
1) What percentage of the persons who take the test score above 1300?
X = 1300
Zscore = (x - m) / sd
Zscore = (1300 - 1000) / 200 = 300/200 = 1.5
P(z > 1.5) = 1 - p(z < 1.5) ;
From the z distribution table:
p(z < 1.5) = 0.9332 ; 1 - 0.9332 = 0.0668 = 6.68%
2) What percentage score above 800?
X = 800
Zscore = (x - m) / sd
Zscore = (800 - 1000) / 200 = - 200/200 = - 1
P(z > - 1) = 1 - p(z < - 1) ;
From the z distribution table:
p(z < - 1) = 0.1587 ; 1 - 0.1587 = 0.8413 = 84.13%
3) What percentage score below 1200?
X = 1200
Zscore = (x - m) / sd
Zscore = (1200 - 1000) / 200 = 200/200 = 1
p(z < 1)
From the z distribution table:
p(z < 1) = 0.8413 = 84.13%
Above what score do 20% of the test takers score?
P(z > Zscore) = 0.2 = P(z > Zscore) = 1 - 0.2 = 0.8
P(z < Zscore) = 0.8
0.8 is closest to a Zscore of 0.84
From the formula:
Zscore = (x - m) / sd
0.84 = (x - 1000) / 200
168 = x - 1000
x = 168 + 1000 = 1168
Above what score do 30% of the test takers score?
P(z > Zscore) = 0.3 = P(z > Zscore) = 1 - 0.3 = 0.7
P(z < Zscore) = 0.7
0.8 is closest to a Zscore of 0.525
From the formula:
Zscore = (x - m) / sd
0.525 = (x - 1000) / 200
105 = x - 1000
x = 105 + 1000 = 1105
what type of shape is a square
Answer:
A square is a closed, two dimensional shape with 4 equal sides.
It is also a quadrilateral.
Step-by-step explanation:
none :)
is 0.007x10 equivalent to 0.07
Answer: yes.
Step-by-step explanation:
adding 10 is moving the decimal point once to the right, so yes.
move the decimal point in 0.007 once to the right (multiply it by 10) and you get 0.07
Answer:
Yes
Step-by-step explanation:
Multiply 0.007 by 10 by moving the decimal over to the right one place. It should now look this this: 0.07Split 84 into two parts so that one part is five times the other part.
Answer:
x+5x=84
6x=84
6x/6=84/6
x=14
so therefore
14+5(14)
14+70
The numbers are 14 and 70
The two parts are x = 70 and y = 14
We have a 2 - digit number - 84.
We have to split it into two parts such that one part is five times the other part.
Divide 24 into two parts such that second part is 3 times the first part.Assume the two numbers to be x and y.
x + y = 24
A/Q -
y = 3x
x + 3x =24
4x = 24
x = 6
and y = 3 x 6 = 18.
According to question, we have -
Number = 84
Assume the first part be x.
Then, the other part = [tex]\frac{x}{5}[/tex]
Therefore -
x + [tex]\frac{x}{5}[/tex] = 84
5x + x = 84 x 5
6x = 420
x = 70
and
y = [tex]\frac{x}{5} =\frac{70}{5}[/tex] = 14
Hence, the two parts are x = 70 and y = 14
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please help i can’t figure this out
7(4+t) - 5(t+1) =
distribute the [tex]7[/tex] and [tex]5[/tex]:
[tex]7(4+t)-5(t+1)=\\28+7t -5t -5[/tex](collect like-terms)
[tex]28-5 +7t-5t=\\23+2t[/tex]
[tex]23+2t[/tex] or [tex]2t+23[/tex] is your answer. hope this helps <3
Solve for x. 12x - 17 = 5x + 19
Answer:
x = [tex]\frac{36}{7}[/tex]
Step-by-step explanation:
Given
12x - 17 = 5x + 19 ( subtract 5x from both sides )
7x - 17 = 19 ( add 17 to both sides )
7x = 36 ( divide both sides by 7 )
x = [tex]\frac{36}{7}[/tex]
Find the maximum rate of change of f(x,y)=ln(x2+y2) at the point (-2, 2) and the direction in which it occurs.
The maximum rate of change of function [tex]f(x,y)=ln(x^2+y^2)[/tex] is [tex]\frac{\sqrt(2)}{2}[/tex] and the direction is [tex](\frac{-1}{2}, \frac{1}{2})[/tex]
Given data:
To find the maximum rate of change of the function [tex]f(x,y)=ln(x^2+y^2)[/tex] at the point (-2, 2), calculate the gradient vector (∇f) and evaluate it at that point.
The gradient vector is a vector that points in the direction of the steepest ascent of the function and its magnitude represents the rate of change of the function at that point.
To find the gradient vector (∇f), calculate the partial derivatives of f(x, y) with respect to x and y:
[tex]\frac{df}{dx} = \frac{(2x)}{ (x^2 + y^2)}[/tex]
[tex]\frac{df}{dy} = \frac{(2y)}{ (x^2 + y^2)}[/tex]
Evaluating these partial derivatives at the point (-2, 2):
[tex]\frac{df}{dx}_{-2,2}=-1/2[/tex]
[tex]\frac{df}{dy}_{-2,2}=--1/2[/tex]
So, the gradient vector (∇f) at the point (-2, 2) is (∇f) = (-1/2, 1/2).
The maximum rate of change of the function occurs in the direction of the gradient vector (∇f). Therefore, the direction in which the maximum rate of change occurs is in the direction of the vector (-1/2, 1/2).
Note that the magnitude of the gradient vector (∇f) represents the maximum rate of change. In this case, the magnitude of (∇f) is:
|∇f| = [tex](\frac{-1}{2}^2 + \frac{1}{2}^2)[/tex]
= √(1/4 + 1/4)
= √(1/2)
= 1/√(2)
[tex]=\frac{\sqrt(2)}{2}[/tex]
Hence, the maximum rate of change of f(x, y) at the point (-2, 2) is [tex]\frac{\sqrt(2)}{2}[/tex], and it occurs in the direction of the vector [tex](\frac{-1}{2}, \frac{1}{2})[/tex].
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Otto spent Three-fourths of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?
Answer:
$64
Step-by-step explanation:
Otto had x dollars.
He spent 3/4x which equals to $48
3/4x = 48x = 48 : 3/4 x = 48 × 4/3x = 64Otto had $64 before he bought the game
Answer:
64
Step-by-step explanation:
3. |-9n-3|<6
help please
Answer:
n> −1 and n < 1/3
Step-by-step explanation:
Which statement about correlation is FALSE?
A) Correlation is a quantitative measure of the strength of a linear association between two variables.
B) Correlation is a quantitative measure of the strength of a non-linear association between two variables.
C) A correlation of -1 or 1 corresponds to a perfectly linear relationship.
D) Correlation is measured by r, the correlation coefficient which has a value between -1 and 1.
Correlation is a quantitative measure of the strength of a non-linear association between two variables.
Statement B is false because the r value measures the linear association between two variables. In other words, it tells us how good a linear fit we have with a scatterplot of data. So this is why statement A is true.
As r gets closer to +1, then we have a stronger positive linear correlation. If r = 1 exactly, then all points fall on the same straight line with positive slope (the slope isn't necessarily m = 1). Conversely, if r = -1, then the points fall on the same straight line with negative slope (not necessarily m = -1). As r gets closer to r = 0, the strength of the linear relationship weakens. All of this points to statements A, C, and D to be true statements.
Answer:
Correlation is a quantitative measure of the strength of a non-linear association between two variables.
Step-by-step explanation:
Correlation specifically measures the strength and direction of a linear association between two variables. So we can't use it for all variables or for non-linear associations.
What is the equation of the line that passes through the point (-4, -3) and has a
slope of 3/4
Answer:
y=3/4x
it passes through (-4,-3) on its own
A checking account has a balance of $350.00. A customer makes two withdrawals, one $50.0 more than the other. Then he makes a $75.00 deposit.
Answer: $25
Step-by-step explanation:
what is a product concept?
Answer:
so just be you
Step-by-step explanation:
A product concept statement, sometimes referred to as just a "concept statement" represents the vision that a business owner and his design team has for a product or service. It describes the product or service, explains its purpose and considers the consumer demographics that the product is market toward.
plz hellllppppp -9+n/4 = -7
Answer:
n=-37
Step-by-step explanation:
9+n/4 = -7
First, we multiply each side by 4:
9+n= -28
Subtract 9 from both sides
n= -37
Hope this helps!!!
Answer:
n=8
Step-by-step explanation:
[tex]-9+\frac{n}{4}=-7\\ \frac{n}{4}=-7+9\\\frac{n}{4}=2\\ n=4*2\\n=8[/tex]
find the rule as an equation.
for example, y= x+m
Answer:
y= 4x
Step-by-step explanation:
2*4=8
3*4=12
4*4=16
5*4=20
6*4=24
7*4=28
The points (-11, r) and (-6, 12) lie on a line with slope 2. Find the missing coordinater r.
Answer: r=2
Step-by-step explanation:
We can use the given 2 points to find slope. Since we are given the slope, we can plug it into the formula and solve for r.
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =2[/tex] [plug in values]
[tex]\frac{12-r}{-6-(-11)} =2[/tex] [combine like terms]
[tex]\frac{12-r}{5} =2[/tex] [multiply both sides by 5]
[tex]12-r=10[/tex] [subtract both sides by 12]
[tex]-r=-2[/tex] [divide both sides by -1]
[tex]r=2[/tex]
PLEASE HELP!
Tillman the Bulldog held the Guinness World Record for the Fastest Dog on a
Skateboard. Tillman skated 100 meters in 19.678 seconds. After watching the
video, a student said, "Wow, that's amazing! The dog went about 5 meters per
second!" Was the student correct? How do you know?
Answer:
He was correct
Step-by-step explanation:
100÷ 19.678= 5
5 meters for seconds
Find the area of the rectangle . (9,-1), (-1,7), (-5,2), (5,-6)
Answer:
(5,-6)
Step-by-step explanation:
Answer: 82 sq. units .
Step-by-step explanation:
Scott and Greg were asked to add two whole numbers. Scott subtracted two numbers and got 10. Greg multiplied them and got 651. What is the correct sum?
Answer:
21,31
Step-by-step explanation:
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Solve the following System of Three Equations: x−3y+z=−15
2x+y−z=−2
x+y+2z=1
Answer:
x = -3 , y = 4 , z = 0
Step-by-step explanation:
Solve the following system:
{x - 3 y + z = -15
2 x + y - z = -2
x + y + 2 z = 1
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for z:
{x - 3 y + z = -15
2 x + y - z = -2
x + y + 2 z = 1
Hint: | Solve for z.
Subtract x - 3 y from both sides:
{z = 3 y + (-x - 15)
2 x + y - z = -2
x + y + 2 z = 1
Hint: | Perform a substitution.
Substitute z = -15 - x + 3 y into the second and third equations:
{z = -15 - x + 3 y
15 + 3 x - 2 y = -2
x + y + 2 (-15 - x + 3 y) = 1
Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.
x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:
{z = -15 - x + 3 y
15 + 3 x - 2 y = -2
-30 - x + 7 y = 1
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{z = -15 - x + 3 y
15 + 3 x - 2 y = -2
-30 - x + 7 y = 1
Hint: | Isolate terms with x to the left hand side.
Subtract 15 - 2 y from both sides:
{z = -15 - x + 3 y
3 x = 2 y - 17
-30 - x + 7 y = 1
Hint: | Solve for x.
Divide both sides by 3:
{z = -15 - x + 3 y
x = (2 y)/3 - 17/3
-30 - x + 7 y = 1
Hint: | Perform a substitution.
Substitute x = (2 y)/3 - 17/3 into the third equation:
{z = -15 - x + 3 y
x = (2 y)/3 - 17/3
(19 y)/3 - 73/3 = 1
Hint: | Choose an equation and a variable to solve for.
In the third equation, look to solve for y:
{z = -15 - x + 3 y
x = (2 y)/3 - 17/3
(19 y)/3 - 73/3 = 1
Hint: | Isolate terms with y to the left hand side.
Add 73/3 to both sides:
{z = -15 - x + 3 y
x = (2 y)/3 - 17/3
(19 y)/3 = 76/3
Hint: | Solve for y.
Multiply both sides by 3/19:
{z = -15 - x + 3 y
x = (2 y)/3 - 17/3
y = 4
Hint: | Perform a back substitution.
Substitute y = 4 into the first and second equations:
{z = -x - 3
x = -3
y = 4
Hint: | Perform a back substitution.
Substitute x = -3 into the first equation:
{z = 0
x = -3
y = 4
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = -3 , y = 4 , z = 0
Consider the equation 9x+3=x−1. Squaring the left side and simplifying results in _______. Squaring the right side and simplifying results in _______.
Answer:
The first blank is 81[tex]x^{2}[/tex]+9=x-1
The second blank is 9x+3=x^2-1
Step-by-step explanation:
For the first part, you must set up the equation (9x+3)^2 then you must multiply the exponent to the inside exponents [tex]9^{2} x^{2}[/tex]+[tex]3^{2}[/tex] next, simplify.
81[tex]x^{2}[/tex]+9=x-1
For part two, set up equation. [tex]x^{2} -1^{2}[/tex] Then simplify 9x+3= [tex]x^{2} -1[/tex]
9x + 3 = x - 1
Squaring the left side and simplifying results in 81x² + 53x + 10 = 0.
Squaring the right side and simplifying results in x² - 11x - 2 = 0.
Given,
9x + 3 = x -1
We need to square on the left side and right side separately and find the results.
What is the formula for square?
(A + B)² = A² + 2AB + B²
(A - B)² = A² - 2AB + B²
We have,
9x + 3 = x - 1
Squaring the left side.
( 9x + 3)² = x - 1
(9x)² + 2 x (9x) x 3 + 3² = x - 1
81x² + 54x + 9 = x - 1
81x² + 54x - x + 9 + 1 = 0
81x² + 53x + 10 = 0
Now,
9x + 3 = x - 1
Squaring right side
9x + 3 = ( x - 1 ) ²
9x + 3 = x² - 2 x (x) x 1 + 1²
9x + 3 = x² -2x + 1
x² - 2x - 9x + 1 - 3 = 0
x² - 11x - 2 = 0
Thus the results after simplifying 9x + 3 = x - 1 are
Squaring on the left sides:
81x² + 53x + 10 = 0
Squaring on the right sides:
x² - 11x - 2 = 0
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