Answer:
0.6568 = 65.68% probability that she would be correct.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so.
This means that:
[tex]\mu = \frac{45000 + 45500 + 44500 + 46000 + 44000}{5} = 45000[/tex]
Standard deviation of 1500 units.
This means that [tex]\sigma = 1500[/tex]
What is the likelihood that she would be correct if she predicts sales between 43000 and 46000?
This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 43000. So
X = 46000
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{46000 - 45000}{1500}[/tex]
[tex]Z = 0.67[/tex]
[tex]Z = 0.67[/tex] has a pvalue of 0.7486
X = 43000
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{43000 - 45000}{1500}[/tex]
[tex]Z = -1.33[/tex]
[tex]Z = -1.33[/tex] has a pvalue of 0.0918
0.7486 - 0.0918 = 0.6568
0.6568 = 65.68% probability that she would be correct.
Two consecutive positive integers have a product of 6 what are the integers
separate the answer with a comma
Answer:
2,3
Step-by-step explanation:
2 and 3 are consecutive numbers, and when you multiply them, you get 6.
Hope this helps.
Have a nice day.
Plz help me this is 7th grade math advance
Answer:
x=54 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
In this case, angle 126 and angle x are supplementary.
126+x=180
x=54 degrees.
Let me know if this helps!
5, 7, 9
Show that the mean of these three numbers is 7.
Answer:
Mean= 7
Step-by-step explanation:
The numbers are 5, 7, 9
Mean= sum of numbers/ total numbers
= 5+7+9/3
= 21/3
= 7
Hence the mean is 7
The result of multiplying a number by 3 and subtracting 5 is the
same as doubling the number and adding 9. What is the number?
Answer:
n = 14
Step-by-step explanation:
let 'n' = the number
3n - 5 = 2n + 9
n - 5 = 9
n = 14
Answer:
14
Step-by-step explanation:
We have to replace the unknown quantity with "x" and work with it.
The result of multiplying a number by 3 and substracting 5
3x - 5
Is the same as
3x-5= (__)
Doubling the number and adding 9
3x- 5= 2x+9
Then we solve it like any equation
3x - 5 = 2x + 9
3x - 2x = 9 + 5
x = 14
Hope it was helpful ;)
Could anyone Help?
Please
Answer:
a.2^(a+b+c)
b.2^(a+b+a-b)=2^(2a)or 4^a
c.2^(a+b+c)/2^(a+b)=2^(a+b+c-a-b)=2^c
In a computer class, a group of 4 girls shared a computer and printer to print their math projects. The total time to print the project was 1/2 hour. Each girl needed the same amount of time to print her project. What part of an hour did it take each of the 4 girls to print her project?
Answer:
30
Step-by-step explanation:
cause i said so
At an electronic store, an air conditioner marked at 280$ was on sale at $259 what was the percentage of discount for the air conditioner?
Answer:
7.5%
Step-by-step explanation:
280 - 259 = 21
21 / 280 = 0.075 = 7.5%
What da answer I’d does not say
If ABCD is an isosceles trapezoid what is the value of X?
Find the inverse of the function.
f(x) = 12 - 2
Determine the value of x so that line ℓ will be parallel to line m.
Answer:
we have
m<2=m<7
4x+2=5(x-2)
4x+2=5x-10
10+2=5x-4x
x=12
6.
5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 – 11r)
-
Answer:
0
Step-by-step explanation:
are given:
\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}
sin(x)−2
sin
2
(x)−sin(x)−2
To make it simpler and more clear, we can let u = sin(x). So:
\displaystyle \frac{u^2-u-2}{u-2}
u−2
u
2
−u−2
Now, it becomes obvious that we can factor, which produces:
\displaystyle =\frac{(u-2)(u+1)}{u-2}=
u−2
(u−2)(u+1)
Cancel:
=u+1=u+1
And substituting back:
=\sin(x)+1=sin(x)+1
Hence, our answer is A.
if two different subjects are randomly selected, find the probability that they both had a headache
Answer:
Probability = 2/2
The measure of an angle is 29º. What is the measure of its complementary angle?
help? please?
9514 1404 393
Answer:
61°
Step-by-step explanation:
An angle and its complement total 90°. Your angle of interest is ...
90° -29° = 61° . . . complementary angle to 29°
helps wut is 131+393÷52,,,, ya volvi cabr.ones
Answer: 138.557
Step-by-step explanation:
Answer:
hey :( so just wondering hru ummm and u were right and umm ig i am just gonna f my life up always umm hru ?
Step-by-step explanation:
11 + 5 + 52 x 12 – 10 =
(11 + 5) + 52 x (12 - 10) =
Yuri thinks 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.
Answer:
Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).
Step-by-step explanation:
Root of a function:
If [tex]x^{\ast}[/tex] is a root of a function f(x), we have that [tex]f(x^{\ast}) = 0[/tex].
In this question.
We have to find [tex]q(\frac{3}{4})[/tex]. So
[tex]q(\frac{3}{4}) = 6(\frac{3}{4})^3 + 19(\frac{3}{4})^2 - 15(\frac{3}{4}) - 28[/tex]
[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{171}{16} - \frac{45}{4} - 28[/tex]
[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{684}{64} - \frac{720}{64} - \frac{1792}{64}[/tex]
[tex]q(\frac{3}{4}) \neq 0[/tex]
Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).
HELP WILL GIVE BRAINLIST
Answer:
471 square feet
Step-by-step explanation:
150
x3.14
471
Plz help me! I’m not sure how to do these!
Step-by-step explanation:
2. x =101
3. x= 120
4. x= 30
I am very confused in question no 1 and 5 th .
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful .
ive just joined into a class from remote to now hybrid. we are doing how to find out if an ordered pair is a solution to the linear equation. i am so lost. please help.
Answer:
Step-by-step explanation:
You'll be given an equation that contains an x and a y.
You'll also be given an ordered pair. Plug the ordered pair into the equation and see if the equation is true.
For example:
Is (0,4) a solution to the equation 2x+3y = 15 ?
Plug the coordinates of (0,4) into the equation:
2·0 + 3·4 = 15
This simplifies to 12 = 15, which is obviously false, so (0,4) is not a solution to the equation.
Help with this question
Answer: 14/16
Step-by-step explanation:
Answer:
14/8 BUT Simplified even further = 7/8
Step-by-step explanation:
descrease £250 by 15%
Answer:
£212.5
Step-by-step explanation:
15% of 250 = 37.5
250 - 37.5 = 212.5
If a force of 50 pounds is directed 30° from the horizontal, what vector represents this force?
Answer:
[tex]F_x=43.30\ N[/tex]
Step-by-step explanation:
Given that,
Force, F = 50 pounds
It is directed at 30° from the horizontal.
The force will be given by :
[tex]F_x=F\cos\theta\\\\=50\times \cos(30)\\\\=43.30\ N[/tex]
So, the required force is 43.30 N.
I need help!!! 10points!!!
I need the slope of this and to come up with an equation for it!! THANK U
Answer:
y = 37/5x + 9
Step-by-step explanation:
The points are not plotted on a single straight line, so I will find the general slope using the first and last point on the graph.
(5, 46) & (10, 83)
slope-intercept form: (y₂ - y₁) / (x₂ - x₁)
(83 - 46) / (10 - 5)
Simplify.
(37)/(5)
Your slope is 37/5.
y = 37/5x + b
To find b, plug in a point to x and y.
46 = 37/5(5) + b
46 = 37 + b
b = 9
Your equation is: y = 37/5x + 9
Check by plugging in the other point.
83 = 37/5(10) + 9
83 = 74 + 9
83 = 83
Your equation is correct.
Hope this helps!
(-2)⁰+(-2)¹+(-2)²+-2)³
Answer:
-15
Step-by-step explanation:
-2 to the power 0 = -1
-2 to the power 1 = -2
-2² = -4
-2³ = -8
-1 + -2 + -4 + -8 = -15
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answer:
5.5
Step-by-step explanation:
57-29.5 / 10-5 = 5.5
Answer:
5.5
Step-by-step explanation:
The rate of change of a relationship is the ratio of corresponding changes in value. Symbolically, we indicate a change with the greek letter Δ (pronounced "delta"). A change in x is written Δx ("delta eks") and a change in y is written Δy ("delta why"). We're looking for the ratio Δy/Δx ("delta y over delta eks").
Mathematically, Δx and Δy are the differences between two corresponding x an y values. To pick these, we can take any two rows in our table. Let's pick rows 4 and 2, nice whole numbers:
[tex]\Delta{x}=20-10=10\\\Delta{y}=112-57=55\\\Delta{y}/\Delta{x}=55/10=11/2=5.5[/tex]
We can confirm that this holds for every other pair, too - picking rows 2 and 1 as an example:
[tex]\Delta{x}=10-5=5\\\Delta{y}=57-29.5=27.5\\\Delta{y}/\Delta{x}=27.5/5=275/50=11/2=5.5[/tex]
what number is divisible by 49 that is divisible by 27?
9514 1404 393
Answer:
1,323
Step-by-step explanation:
The smallest positive number divisible by both 49 and 27 is ...
49×27 = 1,323
__
49 and 27 have no common factors, so the least common multiple is their product.
Simplify 8/10 please help me
How to write and graph at least 10 on a number line?
Answer:
x <= 10
<= means less or equal to
Step-by-step explanation:
At least means less or equal to
what is 14365 round to the nearear hundred
Answer:
a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion
Step-by-step explanation: