Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y
Step-by-step explanation:
took the test
The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm.
(a) State the hypotheses to test whether the mean is smaller than it is supposed to be.
(b) What is the test statistic?
(c) At α = .05, what is the critical value for this test?
(d) What is your conclusion?
Answer:
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
Step-by-step explanation:
Goal mean μ = 56 gm
standard deviation σ = 0,77
From random sample:
mean x = 55,82
sample size n = 49
We assume a normal distribution ( is a manufacturing controlled process)
a) Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x < μ
Alternative hypothesis is telling us that the test is a one-tail test to the left
as n > 30 we use the normal distribution.
b) z(s) = ( x - μ ) / σ / √n
z(s) = 55.82 - 56 ) * 7 / 0,77
z(s) = 0,18*7/0,77
z(s) = - 1.6363
c) if significance level is α = 0.05 then α/2 = 0,025
Then from z table, z score for 0,025 z(c) = -1.96
d) Comparing z(c) and z(s) modules
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
greatest common factor of 27q^2 - 9
Answer:
9(3q^2−1)
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
(0,9),(9,2)
Step-by-step explanation:
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
1. semicircle=14.1372mm
parallelogram=40 mm
54.1372 mm^2
2. 180 ft
hope this helps
have a good day :)
Step-by-step explanation:
The sales manager gathered information on the numbers of sales calls made and the number of copiers sold for a random sample of sales representative. Is there a positive correlation between calls made and copiers? Test at the 0.05 level of significance. Determine the 90% prediction interval for 60 number of calls made. *
Calls,X Sold. Y
20 40
20 50
40 60
50 90
40 80
20 40
40 60
30 60
Answer:
b
Step-by-step explanation:
If the graph is reflected across the y-axis, what will be the equation of the new graph?
a) y=-3^-x+1
b) y=3^-x+1
c) y=-3^x-1
d) y=-3^x+1
Answer: If the graph is reflected across the y-axis it would be...
A) y=-3^x+1
Step-by-step explanation:
Please see the attachment below. Also if you can, please show work. :)
Answer:
x = 5.2
Step-by-step explanation:
Its because 8 / 2 = 4 so that means 5.2 / 2 = 2.6 :)
(You might wanna check because im not sure)
What is the sum? Complete the equation.
-5 + (20)
Answer: The answer is 15
HOPE THIS HELPS AND HAVE A VERY GOOD DAY
hamburger eaten monthly
Answer:
Full question?
Step-by-step explanation:
PLEASE I NEED HELP ASAP!!
Answer:
Option C
Step-by-step explanation:
System of equations have been given as,
y - 4x = 16
y = 4x + 16 ------(1)
By comparing with slope-intercept form of the linear equation,
y = mx + b
Here, m = slope of the line
b = y-intercept
Therefore, m₁ = 4
2y = 8x + 16
y = 4x + 8 -------(2)
Slope of the line m₂ = 4
m₁ = m₂
Therefore, both the lines are parallel and both will not intersect each other.
Hence, there will be no solution of the system of equations.
Option C will be the correct option.
Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?
Answer:
12, because both dogs and birds only have 12 heads
-90 + x = 180
What is the answer ?
Answer:
x = 270
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-90 + x = 180
Step 2: Solve for x
[Addition Property of Equality] Add 90 on both sides: x = 270Answer:
x = 270
Step-by-step explanation:
- 90 + x = 180
Add 90 to each side of the equation.
- 90 + 90 + x = 180 + 90
Combine like terms.
x = 270
Help and explain please.
Answer:
a2 + b2 = c24 + b2 = 49b = [tex] \sqrt{45} [/tex]How to graph 5a-6b=18
Answer:
[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Step-by-step explanation:
Let's solve for a .
[tex]5a+6b=18[/tex]
Step 1: Add -6b to both sides.
[tex]5a+6b+−6b=18+−6b[/tex]
[tex]5a=−6b+18[/tex]
Step 2: Divide both sides by 5.
[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex][tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]Let's solve for b.
[tex]5a+6b=18[/tex]
Step 1: Add -5a to both sides.
[tex]5a+6b+−5a=18+−5a[/tex]
[tex]6b=−5a+18[/tex]
Step 2: Divide both sides by 6.
[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Hope it is helpful....What is the real number of ∞?
Answer:
Infinity is not a real number, its an idea.
Step-by-step explanation:
An idea of something without an end. Infinity cannot be measured. Even these faraway galaxies can't compete with infinity.
If 25% of a number is 50 and 35% of the same number is 70, find 10% of that number.
Answer:
10%×200=20
Step-by-step explanation:
25%×200=50
35%×200=70
On a coordinate plane, a single transformation will be performed on square RSTU.
Select three transformations of square RSTU that would result in a congruent figure.
A a translation 3 units up and 8 units to the right
B a rotation of 270 counterclockwise about the origin
C a dilation by a scale factor of 1 with respect to the origin
a dilation by a scale factor of 1.5 with respect to the origin
E
a dilation by a scale factor of -2 with respect to the origin
Answer:the answer is ABC
Step-by-step explanation:
I had this on my exit ticket and my teacher reviewed the question and told me it was correct
Give the coordinates of point D.
A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)
1. What is the slope of the line through the points (-4, 2) and (—16,-6) PLEASE HELP
Answer:
2/3
(-4, 2) and (-16, -6)
slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667
I hope you got it right :)
What is the solution to A=7x+40
9514 1404 393
Answer:
x = (A -40)/7
Step-by-step explanation:
Maybe you want to solve for x.
A = 7x +40 . . . . . given
A -40 = 7x . . . . . subtract 40
(A -40)/7 = x . . . divide by 7
The value of x will be ...
x = (A -40)/7
Which is the best estimate of 2pi(2)
A. 12 B. 16 D. 20 D. 24
Answer:
Equal 12.5
choose : A. 12
A quiz consists of six multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most four questions correctly?
Answer:
0.9945 = 99.45% probability that the student answers at most four questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student answers correctly, or he/she does not. The probability of the student answering a question correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A quiz consists of six multiple choice questions.
This means that [tex]n = 6[/tex]
Each question has four choices. Student guesses randomly.
This means that [tex]p = \frac{1}{4}[/tex]
What is the probability that the student answers at most four questions correctly?
This is:
[tex]P(X \leq 4) = 1 - P(X > 4)[/tex]
In which
[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.25)^{5}.(0.75)^{1} = 0.0053[/tex]
[tex]P(X = 6) = C_{6,6}.(0.25)^{6}.(0.75)^{0} = 0.0002[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.0053 + 0.0002 = 0.0055[/tex]
[tex]P(X \leq 4) = 1 - P(X > 4) = 1 - 0.0055 = 0.9945[/tex]
0.9945 = 99.45% probability that the student answers at most four questions correctly
Plz help me well mark brainliest if correct.....?
Answer:
B. 8 x 12
Step-by-step explanation:
First of all, it has an area of 96
So lets find the multiplication pair that equals 96.
10 x 10 = 100 NO
6 x 16 = 96 YES
8 x 12 = 96 YES
Now we have two equations: 8 x 12 and 6 x 16
Perimeter of 40 means:
2(a+b) = 40
Lets input the two equations:
2(8+12) = 2 x 20 = 40
2(6+16) = 2 x 22 = 44
So the dimensions that works is 8 x 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
About 0.34 of the length of a cat is its tail. Write this decimal as a percent.
please help!!! urgently i dont get this
Answer:
4
Step-by-step explanation:
One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 35 individuals who consider themselves to be avid Internet users results in a mean time of 1.99 hours watching television on a weekday.
Required:
Determine the likelihood of obtaining a sample mean of 1.99 hours or less from a population whose mean is presumed to be 2.45 hours.
Answer:
Step-by-step explanation:
In how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
[?] ways
Note: „Pr =
(n-r)!
n!
PLEASE HELP
Answer:
59,280
Step-by-step explanation:
the answer is base in my previous learning.. hope it helps..
Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a red light. If 4% have been ticketed for both, what is the probability that a teenage driver has been issued a ticket for speeding if they ran a red light?
Answer:
four out of 100 (4%)
Step-by-step explanation:
If something cost $60 and it has a markdown of 40% what is the sale price
Answer:
Your total is now $36
Step-by-step explanation:
Multiply 60 times 40%
and it will show that you saved $24
subtract $60 - $24
there's your answer.
I need help! :) +no links please and thank you!
Answer:
Step-by-step explanation:
(14×2)+(14×4)
7×(3+5)
c, e and g