Answer:
[tex]P(x \le 21) = 0.69146[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]n = 64[/tex] --- population
[tex]\mu = 20[/tex] --- population mean
[tex]\sigma = 16[/tex] -- population standard deviation
Required
[tex]P(x \le 21)[/tex]
First, calculate the sample standard deviation
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{16}{\sqrt {64}}[/tex]
[tex]\sigma_x = \frac{16}{8}[/tex]
[tex]\sigma_x = 2[/tex]
Next, calculate the sample mean [tex]\bar_x[/tex]
[tex]\bar x = \mu[/tex]
So:
[tex]\bar x = 20[/tex]
So, we have:
[tex]\sigma_x = 2[/tex]
[tex]\bar x = 20[/tex]
[tex]x = 21[/tex]
Calculate the z score
[tex]x = \frac{x - \mu}{\sigma}[/tex]
[tex]x = \frac{21 - 20}{2}[/tex]
[tex]x = \frac{1}{2}[/tex]
[tex]x = 0.50[/tex]
So, we have:
[tex]P(x \le 21) = P(z \le 0.50)[/tex]
From the z table
[tex]P(z \le 0.50) = 0.69146[/tex]
So:
[tex]P(x \le 21) = 0.69146[/tex]
Need Help With My Geometry Work Plz Help
Answer:
Step-by-step explanation:
(number of sides-2)*180 = (6-2)*180 = 720°
a= 720/6= 120°
lines form 180° angles
b= 180-120= 60°
sum of angles in a triangle is 180, and the angles are ≡
c=180/3 = 60°
c and d are supplementary angles (they add to 180)
d= 180-60 = 120°
d ≡ e+e because are vertical angles
e= 120/2 = 60°
sum of angles in a triangle is 180
f= 180 -90-60 = 30°
(number of sides-2)*180 = (5-2)*180 = 540°
g= 540/5= 108°
To estimate the mean length of rattlesnakes, 10 such snakes are randomly selected. Their lengths, in inches, are as follows: 40.2 43.1 45.4 44.5 39.5 40.2 41.0 41.6 43.1 44.9 Find a 90% confidence interval for the mean length of all rattlesnakes.
Answer:
The confidence interval will be "41.04, 43.81".
Step-by-step explanation:
Given that,
Sample size,
n = 10
Sample total,
423.5
Sample mean,
[tex]\bar X =\frac{423.5}{10}[/tex]
[tex]=42.35[/tex]
Sample variance,
[tex]s = \sqrt{4.5894}[/tex]
[tex]=2.1423[/tex]
[tex]df=n-1[/tex]
[tex]=9[/tex]
[tex]t^*=18331[/tex]
Now,
The margin of error will be:
⇒ [tex]E=\frac{s\times t^*}{\sqrt{n} }[/tex]
[tex]=\frac{2.1423\times 1.8331}{\sqrt{9} }[/tex]
[tex]=\frac{3.928}{3 }[/tex]
[tex]=1.309[/tex]
hence,
The 90% confidence level will be:
= [tex](\bar X-E),(\bar X+E)[/tex]
By substituting the values, we get
= [tex](42.35-1.309),(42.35+1.309)[/tex]
= [tex](41.04),(43.81)[/tex]
résoudre l'équation. 2(x-2)=3x+3(2x+1)
Answer:
Step-by-step explanation:
2(x-2)=3x+3(2x+1)
2x-4=3x+6x+3
2x-4=9x+3
2x-9x=3+4
-7x=7
x=7/-7
x=-1
The cost of a shirt decreases by 18%. After the discount, the shirt costs $61.91. How much did the shirt cost before the
discount?
Answer:
$75.5
Step-by-step explanation:
The first step is to calculate the percentage decrease
= 100-18
= 82%
Therefore the original cost of the shirt before the discount can be calculated as follows
= 82/100 × x = 61.91
= 82x/100= 61.91
Cross multiply
82x= 100×61.91
82x= 6191
x = 6191/82
= 75.5
Hencd the original cost of the shirt is $75.5
Answer:
75.50
Step-by-step explanation:
Which situation can be represented by the equation y = 12 x ?
Answer:
Let's solve for x.
y=12x
Step 1: Flip the equation.
12x=y
Step 2: Divide both sides by 12.
12x /12 = y /12
x= 1 /12 y
Answer: x= 1 /12 y
Step-by-step explanation: Hope this helps :D
what is the circumference of a circle with a diameter of 13 inches? round to the nearest hundredth.
Answer:
40.84 to nearest hundredth.
Step-by-step explanation:
C = pi * d
= pi * 13
= 40.8407
Use the following table below, which represents the average rainfall in Orlando to answer this questions:
Month
Jan.
Feb.
Mar.
Apr.
May
June
July
Aug
Sep.
Oct.
Nov:
Dec.
Avg. Rainfall 2.55
1.24
.98
1.87
3.54
5.27
6.31
6.20
5.00
3.23
1.64
193
Use the rainfall table above and your graphing calculator to find the
sinusodal regression equation to model the data.
Answer:
me no understand plz ask a teacher
According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hour?
please help ASAP!! I will make u brainliest
Answer:
30 More minutes
Step-by-step explanation:
3/4 of an hour is 45
1/4 is 15
45-15 is 30
Answer:
1 hour
Step-by-step explanation:
the radius of a cylindrical construction pipe is 2 ft. If the pipe is 26 ft long, what is its volume?
Answer:
V=326.725636 or V=104[tex]\pi[/tex]
Step-by-step explanation:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
V=[tex]\pi[/tex][tex]2^{2}[/tex](26)
V=[tex]\pi[/tex]4(26)
V=326.725636
You wondered if the sugar content in energy dinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz. dink state it contains 34g sugar. You randomly sampled 40 cans and measured its sugar content and found a sample mean of 35.6 and a standard deviation of 0.5. The correct hypotheses for said study should be
Answer:
The null hypothesis should be [tex]H_0: \mu = 12[/tex]
The alternate hypothesis should be [tex]H_1: \mu \neq 12[/tex]
Step-by-step explanation:
You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.
At the null hypothesis, we test if the sugar content is the same labeled, that is:
[tex]H_0: \mu = 12[/tex]
At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.
[tex]H_1: \mu \neq 12[/tex]
can you help me solve for x.
Answer:
x=4
Step-by-step explanation:
The daily stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation) with a mean of $143.311 and standard deviation of $3.9988 Approximately 38.34% of days IBM had a stock price greater than what dollar amount
Answer:
Greater than $144.49.
Step-by-step explanation:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of $143.311 and standard deviation of $3.9988.
This means that [tex]\mu = 143.311, \sigma = 3.9988[/tex].
Approximately 38.34% of days IBM had a stock price greater than what dollar amount?
Greater than X when Z has a p-value of 1 - 0.3834 = 0.6166, so X when Z = 0.295.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.295 = \frac{X - 143.311}{3.9988}[/tex]
[tex]X - 143.311 = 0.295*3.9988[/tex]
[tex]X = 144.49[/tex]
Greater than $144.49.
PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT
Answer:
Step-by-step explanation:
5.
3x-1 = 4x+13
-1=x+13
12=x
3(12)-1
36-1
Answer: 35
Second 5.
I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)
6.
90+40+x=180
130+x=180
50=x
Answer: 50
7.
x+71=90
x=19
Answer: 19
I WILL GIVE BRAINLIEST AND 15 POINTS, BUT PLEASE ANSWER QUICK, ITS JUST ONE QUESTION!!!!
Answer: 5/13
Step-by-step explanation:
Find (−5x−9)−(−6x−1)
PLEASE HELP FAST
Five candy bars and two cupcakes cost $12. Three candy bars and three cupcakes cost $11.25. Find the cost of each item
Answer:
$23.25
Step-by-step explanation:
12+11.25
Answer:
candy bars = a
cupcakes = b
a=1.5$
b=2.25$
Step-by-step explanation:
candy bars = a
cupcakes = b
1)5a+2b = 12
2)3a + 3b = 11.25
We can understand
3a + 3b = 3(a+b)= 11.25
a+b = 11.25÷3 = 3.75
from No.2 equation.
than we do
(5a+2b) - 2(a+b)
and we got 3a
so
12 - 7.5 = 4.5 = 3a
a=1.5$
b=2.25$
what is the value of x?
Answer:
127
Step-by-step explanation: The total value of angles in a 6 sided figure is 720 degrees. The total value of the angles except x is 593 degrees. Subtract 593 from 720 to get your x which is 127.
Answer:
Step-by-step explanation112+133+128+100+120+x=720 x=720-593 x=127
A company uses a computer program to create coupon codes for customers to use on its website. The codes are made up from the symbols !, #, &, and *, as well as any letter from the alphabet.
The company uses the program to make a code, one character at a time.
What is the probability the first character is a symbol?
Enter your answer as a decimal rounded to the nearest hundredth in the box.
Answer:
[tex]total = 26 + 4 = 30 \\ probability = \frac{4}{30} \\ = 0.13[/tex]
Hope This Helps!!!
Hope This Helps!!!Have a great day!!!
what is the equivlalent expression of 4 plus 4 plus 4 plus 4 plus 4 plus 4 plus 4
Answer:
4x7
Step-by-step explanation:
4x7=28
4+4+4+4+4+4+4=28
--Answer--
4 x 7 = 28
4 + 4 = 8 <- x 3 + 4 = 28
or splitting it up in some way.
Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.
To the nearest whole percent, what is the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone?
7%
13%
31%
56%
The probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone is 7%.
Probability is the likelihood or tendency that something will occur.
Probablility of blurry picture=(134-86)×0.2/134
Probablility of blurry picture=48×0.2/134
Probablility of blurry picture=9.6/134×100
Probablility of blurry picture=7.16
Probablility of blurry picture=7% (Approximately)
Thus, the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone is 7%.
Learn more about probability here:https://brainly.com/question/24756209
The rate at which a chemical decomposes is increasing at a continuous 6.6 % % . What is the actual hourly percent increase
Answer:
the actual hourly percent increase is 6.823 %
Step-by-step explanation:
Given that data in the question;
rate chemical decomposes increasing continuously at 6.6 %,
r = 6.6% = 0.066
actual hourly percent increase = ?
Now,
hourly percent increase = ( [tex]e^r[/tex] - 1 ) × 100%
we substitute
hourly percent increase = ( [tex]e^{0.066[/tex] - 1 ) × 100%
hourly percent increase = ( 1.06823 - 1 ) × 100%
hourly percent increase = 0.06823 × 100%
hourly percent increase = 6.823 %
Therefore, the actual hourly percent increase is 6.823 %
FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS
Answer:
ok so a it' probabily 21 or a number between 1-10
Step-by-step explanation:
Answer:
q.10 142 degree
q.11 x=11
q.12 complementary angles
Please help! Will give brainliest! (Worth 20 points, URGENT)
I messed up the points-
Step-by-step explanation:
Problem #1
alright, so it would be 7 1/4-6 3/8=7/8
we can check by adding:
6 3/8+7/8=7 1/4.
Problem #2
we can do the same for this one!
8 1/4-7 3/8=7/8
to check:
7/8+7 3/8=8 1/4
5
Select the correct answer.
Which number has a repeating decimal form?
A. 15
OB.
11
25
3
20
C. D.
2
ODIN
Answer:
C=6.6666666666666666666666666
Answer:
[tex]D.\frac{2}{6}[/tex]
Step-by-step explanation:
√15 = 3.87298334621
11/25 = 11 ÷ 25 = 0.44
3/20 = 3 ÷ 20 = 0.15
2/6 = 2 ÷ 6 = 0.33333333333
A researcher selects a sample and administers a treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) put forth about the treatment? *
Answer:
H0 : the treatment has no effect
Step-by-step explanation:
The test is formulated as hypothesis . Here the test ist that whether the treatment has affected or not . So the null hypothesis can be formulated as
H0 : the treatment has no effect
against the claim
Ha: the treatment has an effect.
The null hypothesis is the test performed and the alternate hypothesis is the claim against the test. Therefore they are opposite of each other.
The capacity of a water tank is 1000 litres. If 7/10 parts of the tank is emptied, how many litres of water are left in the tank?
Answer:
300litres
Step-by-step explanation:
capacity of water tank=1000litres
7/10 parts of tank is emptied,
method 1so, to know the litres of water left in the tank has to be equal to 1000litres-emptied tank
let X to represent water left in the tank
X=1000litres-(7/10*1000litres)
X=1000litres-700litres
X=300litres
hence, litres of water left in the tank =300litres
method 2since, full tank is 10/10 and you know the emptied tank has 7/10. meaning the remaining part of water is
10/10-7/10
3/10 of the tank with water
therefore, 3/10*1000litres
300litres.
The vertices of a rectangle in the coordinate plane are located at (4, -3), (4,5), (-5,5), and (-5, -3).
Ill give brainliest! The answers are in red I just need to show my work with equations. PLS CAN SOMEONE WRITE THE EQUATIONS FOR THEM. (NO LINKS TO OTHER SITES OR BLANK ANSWERS OR ILL REPORT
Question 2 of 6
Which of the following is the first step in problem solving?
A. Gather your resources.
B. Check your answers and present the solution.
O C. Come to an answer.
D. Understand the problem.
Answer:
A
you fist have to gather your resources
Answer:
i guess D
because it is most important to understand the problem before going to any further step or conclusions.
A recipe calls for 5/10 kilograms of flour and 9/100 kilograms of suger if Henry measures correctly and combines the two amounts how much flour and suger will he have in all?Explain your thinking then write the answer as a decimal
PLEASE ANSWER NOW IM IN FOURTH GRADE