Answer:
It is already in simplest form.
Step-by-step explanation:
Answer:
Already in simplest form
Step-by-step explanation:
I mean you could do 6(x+2) but its already in its simplest form.
g Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.43
Answer:
0.0022 = 0.22% probability that the sample proportion is greater than than 0.43
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.
This means that [tex]p = 0.32[/tex]
Mean and standard deviation:
Sample of 146 means that [tex]n = 146[/tex]
[tex]\mu = p = 0.32[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]
What is the probability that the sample proportion is greater than than 0.43?
This is 1 subtracted by the pvalue of Z when X = 0.43. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]
[tex]Z = 2.85[/tex]
[tex]Z = 2.85[/tex] has a pvalue of 0.9978
1 - 0.9978 = 0.0022
0.0022 = 0.22% probability that the sample proportion is greater than than 0.43
5x -30 = 3x + 60
How many solutions are there
Answer:
one solution
Step-by-step explanation:
5x - 30 = 3x + 60
2x - 30 = 60
2x = 90
x = 45
A restaurant chef has designed a new set of dishes for his menu. His set of dishes contains 10 10 main courses, and he will select a subset of them to place on the menu each night. To ensure variety of main courses for his patrons, he wants to guarantee that a night's menu is neither completely contained in nor completely contains another night's menu. What is the largest number of menus he can plan using his 10 10 main courses subject to this requirement
Answer:
252 menu
Step-by-step explanation:
Total number courses, n = 10
The largest number of menu the chef can plan using his 10 main courses.
There are various combinations of menu obtainable from the available courses :
Ranging from :
nC0 to nCn
The largest number of menu he can plan is the highest output obtainable between :
10C0 to 10C10
10C0 = 1
10C1 = 10
10C2 = 45
10C3 = 120
10C4 = 210
10C5 = 252
10C6 = 210
10C7 = 120
10C8 = 45
10C9 = 10
10C10 = 1
Hence, the largest number of menu he can plan using his 10 main courses is 252
What is the area of a square thats 34 by 24? (I need someone with good theripist skills please T^T)
Answer: oh that's ava
Step-by-step explanation: ;w; I still don't know them-
Answer:
816
Step-by-step explanation:
also hazzy you can talk to me *hugs him* UwU dis ish toga btw
all muntiple of 5 is an odd number true proposition?
The correct answer is false.
Multiples 5 include: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, etc.
Bold numbers: even
Normal numbers: odd
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=46°, and NO = 96 feet. Find the length of OM to the nearest tenth of a foot.
Answer:
92.7 ft
Step-by-step explanation:
Help w number 6 pls!
Answer:
Y is 66 and x is 48Step-by-step explanation:
So, if u put together x and y, it'll make 48 because
the arranged two numbers will go to 9.
So, that's it! :)18, 12, 8, ...
Find the 10th term.
Answer:
-24
Step-by-step explanation:
18, 12, 8, 4, 0, -4, -8, -12, -18, -24
You are going down by 4 so by the time you get to the 10th term it will be a negative.
Lauren wants to gift wrap a box which is in the shape of a cube. The dimensions of the cube is 25 cm. Determine the surface area of the box to knov
how much wrapping paper should be purchased.
Answer:
3,750cm²
Step-by-step explanation:
Total surface area of a cube is expressed as;
A = 6L²
L is the side length of the cube;
Given
L = 25cm
TSA = 6 (25)²
TSA = 6 * 625
TSA = 3,750cm²
Hence the total surface area of the box is 3,750cm²
What solid results when you rotate the shape
around the segment AB?
Answer:
C) an open top cone
Step-by-step explanation:
v=Xf; speed = wavelength x frequency
f= 1/T; frequency = 1/Period
Problems: 1. The frequency of a wave is 4.0 x 10 Hz. What is its wavelength?
2. A wave with a frequency of 31,200 Hz and travels at 790m/s? What is the wavelength in centimeters?
3. A wave has a wavelength of 25cm and a velocity of 630 m/s, what is the frequency?
What are the two solutions to 2x2−x−4=0 ? Use the quadratic equation
if 4=p (p+5)=21 find p
Answer:
p=16?
16+5=21?
Step-by-step explanation:
16+5=21
Will someone double check me? I got b
Answer:
yes you're right :)
Step-by-step explanation:
you have to use the pythogram therom for this
a² + b² = c²
20² + 10² = c²
400 + 100 = c²
c = √500
six people wen put to dinner, split the check, and paid $18. How much was the check
Answer:
$180
Step-by-step explanation:
$18 × 6
=$180
That's your answer
what is the slope of the line for 3x+ 4y = 20?
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 3x from both sides of the equation:
3x (-3x) + 4y = (-3x) + 20
4y = -3x + 20
Next, divide 4 from both sides of the equation:
(4y)/4 = (-3x + 20)/4
y = (-3/4)x + 5
[tex]y = -\frac{3}{4}x + 5[/tex]
~
Note the equation.
y = mx + b
y = y
m = slope = [tex]-\frac{3}{4}[/tex]
x = x
b = y-intercept = 5
What is the probability of flipping a coin 85 times and getting tails 30 times or
fewer?
A. 99.8%
B. 33.2%
C. 95.9%
D. 0.4%
Answer:
C
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
HELPP ILL GIVE BRAINLESS
Answer:
Scale Factor is 2.5
Step-by-step explanation:
Simplify the expression and find its value please help i will give brainliest
Answer:
7.5
Step-by-step explanation:
a - (2a-1)/a
--------------------
(1-a)/3a
Multiply the top and bottom by 3a
a - (2a-1)/a 3a
-------------------- * ---------------
(1-a)/3a 3a
3a *a - (2a-1)*3a/a
------------------------
(1-a)/3a *3a
Simplify
3a *a - (2a-1)*3
------------------------
(1-a)
3a^2 - 6a+3
------------------------
(1-a)
Factor
3( a^2 -2a+1)
-----------------------
-(a-1)
3(a-1)^2
---------------
-(a-1)
Cancel like terms
-3(a-1)
Letting a = -1.5
-3( -1.5-1)
-3 (-2.5)
7.5
state the gradients and the y intercepts of y=2x+6
Answer:
y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.
In a toy box there are 3 toy cars, 2 dolls, and 5 balls. What is he probability of choosing a toy car
Of the pets in the pet show, 10/12 are cats. 6/10 of the cats are calico cats. What fraction of the cats are calico cats?
Answer:
6/10, simplified 3/5
Step-by-step explanation:
kinda tricky, but the fraction is stated right out.
Answer:
3/5
Step-by-step explanation:
Solve this inequality for x.
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
dd
shamika grew by 14 cm in the past year, and is now 1.33 meters tall. how tall in meters was shamika last year
Pleaseee help I’m really not sure
Answer:
option 4
[tex]2 x + 3 = y [/tex]
2 (1)+3=5
2 (2)+3=5
and so on and so on
Solve three fourths times two thirds. Leave answer as improper fraction
a. 5/12
b.6/12
c.5/7
d. 6/7
Answer:
B) [tex]\frac{6}{12}[/tex]
Step-by-step explanation:
Note that you do not need to simplify. Simply multiply straight across:
[tex]\frac{3}{4} * \frac{2}{3} = \frac{3 * 2}{4 * 3} = \frac{6}{12}[/tex]
B) [tex]\frac{6}{12}[/tex] is your answer.
`
2. Karen sells newspaper subscriptions. She earns $12 for each daily subscription and $4 for each Sunday- only subscription. How much will she earn if she sells 24 daily and 13 Sunday-only subscriptions in a week?
Your Answer;
❀♡ 12 x 24 + 4 x 13 = 340 ♡❀
Answer:
340
Step-by-step explanation:
America paid 3% interest on a $3900 car loan for 5 years. How much interest did she pay on her car loan?
Answer:
If America paid 3% interest for a year
At simple interset ,
FV = Pv(1 + it)
FV = Future value
Pv = present value
i = interest rate
t= time
FV = Pv(1 + it)
= $3900( 1+ 0.03 x 5)
= $4485
FV = PV + interest
FV - PV = interest
$4485 - $3900 = interest
interest = $585
Step-by-step explanation:
Pls helppppppp!!!!!!!!!!!
Answer:
part of it is cutted out show a better picture please ill answer it
Step-by-step explanation:
whats 56787577765445789990 times 3695669870
Answer:
2.0986814e+29
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
punch your calculator to find out
even the calculator might not give u the exact value