Answer:
Test statistic Z= 1.713
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
Step-by-step explanation:
Step(i):-
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000
Mean of the Population μ = $110,000
Sample size 'n' = 53
Mean of the sample x⁻ = $114,000.
standard deviation of the Population = $17,000,
Level of significance = 0.01
Null hypothesis :
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
H₀: x⁻ = μ
Alternative Hypothesis : x⁻ ≠ μ
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }[/tex]
Z = 1.7130
Tabulated value Z = 2.576 at 0.01 level of significance
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
which of the following equations is perpendicular to y=3/4+4 and passed through the point (6,-12)
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x - 5 must have a slope that is the negative reciprocal of the original slope.
Step-by-step explanation:
Triangle FGH is rotated and then dilated by a scale factor of n to form triangle F’G’H’.
If FGH F’G’H’ what is the value of n
Answer:
B. [tex] n = \frac{1}{3} [/tex]
Step-by-step explanation:
If ∆FGH ~ ∆F'G'H', then their corresponding side lengths would be proportional. This means:
F'G'/FG = G'H'/GH = F'H'/FH = n
The ratio of any of their corresponding side lengths will give you the value of n.
Therefore:
n = F'G'/FG
F'G' = 5
FG = 15
Thus,
[tex] n = \frac{5}{15} [/tex]
[tex] n = \frac{1}{3} [/tex]
The scale factor which is a fraction implies that the size of ∆FGH was reduced after dilation.
What is the approximate ratio of the difference in means to the MADs of the data sets? 4 6 7 31
Answer: The answer is 6
Step-by-step explanation:
Edginuity
Answer:
B: 6
Step-by-step explanation:
edg2020
Select the correct months.
The balance of Jim's account on the first day of the month for the first six months of 2013 is given. Identify the months when the balance was
less than the balance in January.
Please answer.
Answer:
June I got u bro it was easy but there u got
Answer:
june,april,march
Step-by-step explanation:
yeeeeeeeeeeeeeeee i <3 waaaaaaaaafuls
HELP please
David goes to LongHorn with his friend Alice. Their bill comes out to be $45.90. They decide to tip the waiter 25%. What is their total amount they leave?
Answer:
$57.38
Step-by-step explanation:
The total bill is $45.90.
They decided to tip the waiter 25%.
Therefore, the total amount they leave will be the total bill plus the amount they will tip.
They amount they tipped is 25% of the total bill. Therefore, the tip is 0.25(45.9) or approximately $11.48 (rounded up).
So, the amount they will leave is the original amount plus the tip. So, in total, they left:
$45.90+$11.48 or $57.38
Answer:
57.38
Step-by-step explanation:
percent means per one hundred, or 1/100.
25%=25/100
45.90 times 25/100= 11.475
Since money doesn't have a thousandthes digit, I just rounded it up to 11.48.
11.48+45.90=57.38
Another way you could do it would be to just mutiply 45.90 by 125/100 to get 57.375, which rounds to 57.38.
Find the area under the standard normal curve to the right of z= 1.
Answer:
Step-by-step explanation:
If x is the principal square root of 7, what must be true?
Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?
Answer:
Percentage decrease= 21.86%
Step-by-step explanation:
Giving the following information:
Selling price per unit= $2.65
Current variable cost= $0.82
Increase in variable cost= $0.4
To calculate the unitary contribution margin, we need to use the following formula:
Unitary contribution margin= selling price - unitary variable cost
Unitary contribution margin= 2.65 - 0.82
Unitary contribution margin= $1.83
New contribution margin= 2.65 - 1.22
New contribution margin= $1.43
Finally, the percentage decrease:
Percentage decrease= [1 - (1.43/1.83)]*100
Percentage decrease= 21.86%
what is the value of f(x)=3x-4 if x = -4?
Answer:
-16
Step-by-step explanation:
when x = -4
f(-4) = 3(-4) - 4 = -16
Answer:
f(-4)=3(-4)-4
f(×)=48
Last week, Kira drove 291 miles. This week, she drove n miles. Using n, write an expression for the total number of miles she drove in the two weeks.
Answer:
d = 291 + n
Step-by-step explanation:
Given that,
Last week, Kira drove 291 miles. Then this week she drove n miles.
We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,
d = 291 + n
Hence, this is the required solution.
The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.
True
False
It is false that the expressions 4x − 2(5x − 1) and 6x + 2 are equivalent expressions
How to determine the true statement?The expression is given as:
4x − 2(5x − 1)
Open the bracket
4x − 2(5x − 1) = 4x − 10x + 2
Evaluate the like terms
4x − 2(5x − 1) = − 6x + 2
− 6x + 2 and 6x + 2 are not equal expressions
Hence, 4x − 2(5x − 1) and 6x + 2 are not equivalent expressions
Read more about equivalent expressions at:
https://brainly.com/question/2972832
#SPJ2
AMONG US!
CODE-MRXLFF
Answer:
I have no idea but thanks for point
Answer:
YASSS AMOUNG USSSSSS
12,320 yd = how many MI
Answer:
7 mi
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
12,320 yds
Step 2: Define conversion
1 mi = 1760 yds
Step 3: Find mi
[tex]12,320 \ yds(\frac{1 \ mi}{1760 \ yds} )[/tex] = 7 mi
-2x + y = 1
7x - y = -1
-8x+y
9-y
this is the answer because it is
Answer:
i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions
Step-by-step explanation:
first equation:
y=2x+1
x intercept:(-1/2,0)
y intercept: (0,1)
second equation:
y=7x+1
x intercept:(-1/7,0)
y intercept: (0,1)
hope this helps pls mark brainliest this took me a long time to do :)
Solve five and three sixths minus two and one third.
(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP ASAP!)
A) Two and three eighteenths
B) two and two ninths
C) three and two ninths
D) three and three eighteenths
(Here is an image if needed) :
Answer:
3 3/18
Step-by-step explanation:
5 3/6-2 1/3
We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:
33/6-7/3
Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:
33/6-14/6
Now we can subtract the numerators.
19/6
To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.
HTH :)
Answer:
3 3/18
Step-by-step explanation:
Mae ling earns a weekly salary of 400 plus a 6.5 commission on sales at a gift shop how much would she make in a work week if she sold 4300 worth of merchandise
Answer:
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
Step-by-step explanation:
Given that
Weekly salary of Mae Ling = $400
Commission rate = 6.5%
Mae ling's total weekly earning will be her salary plus her commission on the sales she does in the week.
Given that her sales for the said week are: $4300
Her commission will be:
[tex]Commission = 6.5\%\ of\ sales\\ = 0.065*4300\\=\$279.5[/tex]
Now to calculate her total salary, we will add the weekly salary and commission.
[tex]Total\ weekly\ Earning = Weekly\ Salary +\ Commission\\= \$400+\$279.5\\=\$679.5[/tex]
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
Darius paid 8.5% sales tax when he bought a new phone for $100. What was the total price of his new phone?
A. $108.05
B. $109
C. $105.50
D. $108.50
Answer:
D
Step-by-step explanation:
108.5
solve
the following linear Equations
152x-378y=-74
-378x+152y=604
Answer:
x=2& y=1
Step-by-step explanation:
check it out
whether answer is correct or not
Solve the system by finding the determinants and using Cramer's Rule:
2x - y = 4
3x + y = 1
Answer:
(1, - 2)
Step-by-step explanation:
2x - y = 4
3x + y = 1
A = [tex]\left[\begin{array}{cc}2&-1\\3&1\end{array}\right][/tex] = 2(1) - 3( - 1) =2 + 3 = 5
[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}4&-1\\1&1\end{array}\right][/tex] = 4(1) - 1(- 1) = 4 + 1 = 5
[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}2&4\\3&1\end{array}\right][/tex] = 2(1) - 4(3) = 2 - 12 = - 10
x = [tex]\frac{A_{x} }{A}[/tex] = 1
y = [tex]\frac{A_{y} }{A}[/tex] = - 2
(1, - 2)
A is what percent of B? c A = 10 km, B = 1 km
Answer:
1000%
Step-by-step explanation:
Answer:
1000%
Step-by-step explanation:
The comparison is 10km and 1km, right?
A is 10 times bigger than B.
100% times 10 is 1000%
Hope this helps. :)
On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Answer: 3.75
Step-by-step explanation:
8 apples = $6
4 apples = $3
2 apples = $1.5
1 apple = 0.75
3 +.75= 3.75
Answer:
3.75
Step-by-step explanation:
8/6 is 75 cents 8-3 is 5 75 cents x 5 3.75
I just picked a random answer idk which one is it someone help
Answer:
I think your answer is correct #.#
Step-by-step explanation:
2.5% of Iphones tested were defected. How many Iphones out of 5000 would be defected?
Answer:
I think the answer would be 125 iPhones.
Step-by-step explanation:
So basically the question is what is 2.5% of 5000.
Just multiply 5000 * 0.025 = 125
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
it is c if you add 2x8 wich makes 16
three less than the sum of a number and
twelve
Answer:
(x + 12) - 3
Step-by-step explanation:
I used x for "a number".
Hope this helps and pls do mark me brainliest:)
What is a number that when you multiply it by 9 and then add
6 to it, you get 60?
Equation:
Solution:
Answer:
equation: 9x+6=60
solution: 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
6×9=54
54+6+=60
what is the common factor between 536 and 10
Answer:
im pretty sure it is 2
Step-by-step explanation:
A magazine costs 4.95 per month. If you buy a one year subscription, it's 30% cheaper. How much will you pay in one year with the discount?
Answer:
41.48/year
Step-by-step explanation:
4.95 x 12 = 59.40
59.40 × .30 = 17.82
59.40 - 17.82 = 41.48
If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?
Answer:
7m
Step-by-step explanation:
In an equilateral triangle all the sides and angles are the same
A commercial apple grower estimates from past records that if 50 trees are planted per acre, then each tree will yield an average of 70 pounds of apples per season. If, for each additional tree planted per acre (up to 30), the average yield is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield?
Answer:
i) 60 trees
ii) 3600 apples
Step-by-step explanation:
50 trees per acre
Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds
Assumption :
lets assume the additional tree = X
Therefore the number of trees planted per acre = ( 50 + x ) where x ≤ 30
calculate average yield per tree = ( 70 - x )
Total yield per acre = number of trees * average yield per tree
= ( 50 + x ) * ( 70 - x )
Y(x) = 3500 + 20x - x^2
i) Number of trees that should be planted per acre to obtain maximum yield per acre
y'(x) = 20 - 2x = 0 hence X ( number of additional trees ) = 20 / 2 = 10
Number of trees that should be planted per acre = 50 + 10 = 60 trees
ii) Calculate maximum yield
where ; X = 10
number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60
hence maximum yield = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples