Answer:
The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
Step-by-step explanation:
The information provided is:
[tex]n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%[/tex]
The critical value of z for 90% confidence level is, 1.645.
Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)[/tex]
Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.
A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?
Answer:
[tex]S.E = 2[/tex]
Step-by-step explanation:
Given
[tex]Mean = 40[/tex]
[tex]s^2 = 64[/tex] ----- variance
[tex]n = 16[/tex] ------------ sample
Required
Determine the S.E
The estimated standard error (S.E) for the sample mean is calculated using the following formula:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
Where
[tex]SD = Standard\ Deviation[/tex]
[tex]SD = \sqrt {s^2}[/tex]
[tex]SD = \sqrt {64}[/tex]
[tex]SD = 8[/tex]
So:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
[tex]S.E = \frac{8}{\sqrt{16}}[/tex]
[tex]S.E = \frac{8}{4}[/tex]
[tex]S.E = 2[/tex]
Hence: the estimated standard error for the sample mean is 2
best estimate for 563 / 15
Answer: 37 8/15 or 37.53
Step-by-step explanation:
use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.
its a website and a app i believe it can be used for ios and android
aka apple and everything else
btw i had to add that (_) <that in the name because it wont let me say it normally
Find the slope between the points. �. (5, −3) (7, 4)
Answer: slope is [tex]\frac{7}{2}[/tex] or 3.5
Step-by-step explanation:
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{4-(-3)}{7-5}[/tex] = [tex]\frac{7}{2}[/tex]
Answer:
[tex]\boxed {\boxed {\sf m= \frac{7}{2} \ or \ 3.5 }}[/tex]
Step-by-step explanation:
The slope formula is the change in y over the change in x.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We are given the points (5, -3) and (7,4). Therefore,
[tex]x_1=5 \\y_1= -3\\x_2=7 \\y_2=4[/tex]
Substitute the values into the formula.
[tex]m=\frac{4--3}{7-5}[/tex]
Solve the numerator.
4 - -3 = 4+3 = 7[tex]m=\frac{7}{7-5}[/tex]
Solve the denominator
7-5=2[tex]m=\frac{7}{2}[/tex]
[tex]m=3.5[/tex]
The slope between the points is 7/2 or 3.5
7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee
Convert 1AA from hexadecimal to decimal.
1AA = 426
What an odd class...
Answer:
426 in decimal.
Step-by-step explanation:
Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.
Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.
Step 3) Add up all the numbers you got in Step 2 to get the answer.
Following the instructions above, your math should look like this:
10 x 1 = 10
10 x 16 = 160
1 x 256 = 256
10 + 160 + 256 = 426
Thus, we got the following answer:
1AA = 426
Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?
5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this
Answer:
5(6)+3(4.5)- 6(2)= 31.5
Step-by-step explanation:
Answer:
hmmmmm
Step-by-step explanation:
Alexander spent a total of 12.5 hours on a science project for the Science Fair. His sister, Laura, spent 16.6 hours on a science project. How many more hours did Laura spend on her project than Alexander spent on his?
Answer:
4.1 I think
Step-by-step explanation:
I just subtracted in my head
Answer:
4.1 hours
Step-by-step explanation:
Laura spent 4.1 more hours on her project than Alexander spent on his. If we split each number into 2 parts (like this: 12.5 -> 12 and .5; 16.6 -> 16 and .6) then we can subtract 12 from 16 and .5 from .6 to get 4 and .1. we add those together to get 4.1
Solve four ninths minus four tenths equals blank.
Help Me ASAP
Answer:
4/9
Step-by-step explanation:
2×2+31×1+1+1+1+1+11×4×4×4×4×4×4×4×4×4
Answer:
I think it is 13107200
Step-by-step explanation:
I think the answer might be 2,883,623. Hopefully, this helps you! :)
5 plus1000 equal what
Help please! I’ll give brainliest!
Answer:
the first
Step-by-step explanation:
becasue you have -4 and it drops by 5 each hour so your timing it by 5 so 5h then sinv=ce it drops its -5h.
Answer:
The answer should be B
Step-by-step explanation:
A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?
AC=39 Find the length of AB
Answer:
AB = 12
Step-by-step explanation:
If AABC and AXYZ are similar, which must be true?
Answer:
(D).
Step-by-step explanation:
ΔABC ~ ΔXYZ
(D). [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]
5/25 in its simplest form
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5}{25} =\frac{1}{5}[/tex]
45×(−10)×45 STEP explanation
Answer:
-20,250
Step-by-step explanation:
PEMDAS
Multiply left to right
45 * -10 * 45
45* -10
-450 * 45 =
-20,250
PQ is equal to RQ so b=?
Answer: 17
Step-by-step explanation:
Y=2× Y=×+1
A: (2/3, 1/3)
B: (1,2)
C: (2,1)
D: (1/3, 2/3)
Answer:
The answer is B: (1,2)
Step-by-step explanation:
(solved using elimination method)
-2x+y=0
y=x+1
-x+y=1
-2x+y=0
x+y=-1
-x=-1
x=1
-1+y=1
y=2
(x,y)=(1,2)
You start at (4, -4). You move left 4 units and right 4 units. Where do you end?
Answer:
Step-by-step explanation:
(4 , - 4) -----> ( 4 - 4 + 4 , - 4 ) = ( 4 , - 4 )
kx^2+k=8x-2xk
Find the range of values of k- there are two distinct roots.
I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step
Answer:
i cant understans the quedtoion its worng bro
Suppose that the amount of snowfall per storm in Lincoln is normally distributed with µ = 4.2 inches and standard deviation µ = 2.3 inches (totally made up data). If the mayor decides that only the top 5% of storms should have school cancelled, what is the cutoff snowfall for school to be cancelled?
Answer:
7.9835
Step-by-step explanation:
Given that :
Mean snowfall per storm (µ) = 4.2 inches standard deviation (s) = 2.3 inches
Only the top 5% of storm should result in school being canceled :
Cut off snowfall for school to be canceled '
P(Z ≥ 5%) ; p(Z ≥ 0.05) = 1.645
Using the z relation :
Z = (x - m) / s
1.645 = (x - 4.2) /2.3
x - 4.2 = 2.3 * 1.645
x - 4.2 = 3.7835
x = 3.7835 + 4.2
x = 7.9835
Cut off snowfall for school to be canceled 7.9835
Answer:
hopes this photo helps
-4(3/2x - 1/2) = -15
Answer:
2.8333333333333333333
Step-by-step explanation:
I have high iq
-4(3/2x - 1/2) = -15
Distribute -4
-6x + 2 = -15
Subtract 2 from both sides
-6x = -17
Divide 6 from both sides
x = 2.83333333333333333
What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.
Answer:
D) its domain is between -1 and 1
Step-by-step explanation:
cos is actually an even function, and it has a period of 2π.
Sine has a graph symmetric about the y-axis, not cosine.
Answer:
C. Its graph is symmetric about the y-axis.
Step-by-step explanation:
If you graph on desmos it shows that it is symmetric about the y-axis :)
Please help !!!!!!!!!! , i don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Hope this helps :D
Solve for a when x is 12
X=
(1 + a)
(1 – a)
Answer:
so i checked on many apps cause im kinda stupid and didnt know and they all said a=11/13 but you could wait for sum1 else to answer
Step-by-step explanation:
Simplify the expression:
8(x - 5) + 7(3x + 4)
Answer:
29x-12
Step-by-step explanation:
29x-12
Step-by-step explanation:
8•x=8×
8•-5=-40
7•3x=21x
7•4=28
-40+28=-12
21x+8x=29x
A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.
Which function describes the revenue of the tile factory in terms of tiles sold?
The answer is 1.C 2.$500
{−2x+7y=−7
−5x+14y=−7
Answer: x=7, y=2
Step-by-step explanation:
1. -2(-2x+7y=-7) -> 4x-14y=14
2. 4x-14y=14
-5x+14y=-7
3. -x = 7, x=7
4. -5(7)+14y=-7
5. -35+14y=-7
6. 14y=28, y=2
Answer: [tex]x=-7[/tex], [tex]y=-3[/tex]
Step-by-step explanation:
[tex]\left \{ {-2x+7y=-7} \atop {-5x+14y=-7} \right.[/tex]
multiply 2 at [tex]-2x+7y=-7[/tex]
[tex]-4x+14y=-14[/tex]
subtract [tex]-4x+14y=-14[/tex] and [tex]-5x+14y=-7[/tex]
[tex]x=-7[/tex]
put [tex]x=-7[/tex] at [tex]-2x+7y=-7[/tex]
[tex]7y=-21, y=-3[/tex]
PLEASE HELP!!!! 50 POINTS!!!
Find the solution(s) of the following equation.
x^2 = 100/361
Choose all answers that apply:
a) x = -10/9
b) x = -1/6
c) x = 5/18
d) x = 5/9
e) none of the above
Answer:i think its b im not sure tho
Step-by-step explanation:
Answer: The answer is A) x= -10/19