Answer:
Using z score formula:
X = z ∂ + µ
= 157.833
Step-by-step explanation:
Solution:
Mean = µ = 1262
Standard deviation = ∂ = 117
(a) 28th percentile for the number of chocolate chip.
P( z < z) = 28%
= 0.28
P( z<- 0.58) = 0.28
Z = -0.58
By using z score formula:
Z = x - µ /∂
-0.58= x – 117 / 1262
X = (- 0.58)(117) + (1262)
= 1194.14
(b) Middle 97% of bag.
P(-z < z < z) = 97%
= 0.97
P( z < z) – p(z < -z) = 0.97
2p(z < z) -1 = 0.97
2p (z < z) = 1 + 0.97
P(z < z) = 1.97 / 2
= 0.99
P(z < 2.33) = 0.99
Z ± 2.33
By using z score formula:
Z = x - µ / ∂
X = z ∂ + µ
= - 2.33 x 117 + 1262
=989.39
Z = 2.33
X = z ∂ + µ
= 2.33 x 117 + 1262
=1533.61
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.
By using standard normal table,
The z dist’n formula:
P(z < z ) = 25%
=0.25
P(z < -0.6745) = 0.25
Z = 0.6745
Using z score formula:
X = z∂ + µ
= - 0.6745 x 117 + 1262
= 1183.0835
First quartile = Q1 =1183.0835
The third quartile is:
P(z<z) = 75%
= 0.75
P(z < 0.6745) = 0.75
Z = 0.6745
Using z score formula:
X = z ∂ + µ
= 0.6745 x 117 + 1262
= 1340.9165
IQR = Q3 – Q1
= 1340.9165 – 1183.0835
= 157.833
Anyone ??? Help with this one
Answer:
(4x-3y)(4x+3y)
Step-by-step explanation:
This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)
Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].
It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.
Now, you need to do (4x-3y)(4x+3y)
Hope this helps
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s6.20 bl/s and standard deviation 1.58 bl/s.1.58 bl/s. (a) What is the probability that an ant's speed in
This question is Incomplete
Complete Question
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)
Answer:
0.7762
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Population mean = 6.20 bl/s
Standard deviation = 1.58 bl/s.
x = 5 bl/s
z = 5 - 6.20/1.58
z = -0.75949
The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)
Probability value from Z-Table:
P(x<5) = 0.22378
P(x>5) = 1 - P(x<5)
= 1 - 22378
= 0.77622
Approximately to 4 decimal places = 0.7762
The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762
g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.
Answer:
6.333
Step-by-step explanation:
Our triangle vertices are
(1,1)(5,1)(2,9)
We are to perform interpolation at point(3,5)
x and y values are interpolated
On vertices (5,1)(2,9)
x = 3
x1 = 5
X2 = 2
Y1 = 1
Y2 = 9
Formula for interpolation
Y = [y1+(x-x1)(y2-y1)]/x2-x
Y = 1+(3-5)(9-1)/2-5
Y = 1+[-2*8/-3]
Y = 1+16/3
From here we use use LCM to get:
19/3 = 6.333
what Mitochondria of a
of a cell
Answer:
membrane-bound cell organelles
. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
Find the measures of the missing values.
Selina didn't use the distributive property correctly. Where did she go wrong? Explain your thinking.
Answer:
PEMDAS
Step-by-step explanation:
Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.
For Example:
P-Paraenthese
E-Exponent
M-Multiply
D-Divide
A-Add
S-Subtract
NOTE!
Remember to always Multiply and divide BEFORE adding and subtracting.
Hoped this helped!
The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)
Answer:
X² = 13.5
Degree of freedom = 6
0.04
Step-by-step explanation:
Give the following :
Number of samples (n) = 7
Population standard deviation (σ) =.4 minutes
Sample standard deviation (s) = 6
Mean battery life = 60 minutes
A) Chisquare (X²) :
X² = ((n - 1) * s²) / σ²
X² = ((7 - 1) * 6²) / 4²
X² = (6 * 6²) / 4²
X² = (6 * 36) / 16
X² = 216 / 16
X² = 13.5
B.) The degree of freedom:
degree of freedom = n - 1
Degree of freedom = 7 - 1 = 6
C.) using a chisquare distribution calculator :
With degree of freedom (df) = 6
X² = 13.5
Hence,
P(X² > 13.5) = 0.04 ( from calculator)
Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?
Answer:
bnbvmnbnjnmbkjbvkjhbjn
Step-by-step explanation:
lnjkkllknnhljknk
Which is equal to 0.63?
Answer:
63%
Step-by-step explanation:
A percentage is x/100. So 0.63 = x/100. So multiply by 100, and you'll get 63%.
f) graph the function in part e. (10 points)
Answer:
Step-by-step explanation:
Given: $1.99 as the fee per book (slope) & fixed fee of $3 (y-intercept)
The function can be written out f(x) = 1.99x + 3.
Express the value of f(x) for x = 0.
This would cancel out the slope, giving us a horizontal line on (0, 3).
f(0) = 1.99(0) + 3
f(0) = 3
You can try to graph the function using a software or by hand.
The graph is continuous because the x-values can have any input as a point.
What are the coordinates of the point (-3, 4) after a translation 5 units
right and 6 units down?
Answer:
(2,-2)
Step-by-step explanation:
A government may create and regulate natural monopolies because:
Answer:
they can handle the costs of providing essential services
Step-by-step explanation:
A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.
Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.
An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.
Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,
Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.
Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5
4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics. At a certain point in the season, he discovered that in 375 games, 300 were won by the team that was winning the game at the end of the third quarter. The margin of error in a 90% confidence interval estimate of the true proportion of games won by the team leading at the end of the third quarter with the plus-4 adjustment applied is (Show work): (5)
Answer: 0.038
Step-by-step explanation:
Given: Total games : n= 375
Number of games won by the team that was winning the game at the end of the third quarter. = 300
The proportion (p) of the team that was winning the game at the end of the third quarter: [tex]p=\dfrac{300}{375}=0.8[/tex]
Critical z-value for 90% confidence: z* = 1.645
Margin of error =[tex]z^*\sqrt{\dfrac{(1-p)p}{n}}[/tex]
The margin of error in a 90% confidence interval estimate of p [tex]=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038[/tex]
Hence, the required margin of error = 0.038
Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many pennies do you have on the 113th day?
Answer:
904
Step-by-step explanation:
8 x 113 = 904
c. One sixth of a number is 15. What is the number?
Please explain step by step.
Answer:
90
if 15 is 1 6th then yo need 5 more 15s to find out the whole number
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!
Step-by-step explanation:
what is the measure of CED
Step-by-step explanation:
The measure of CED is p degree.
In triangle ABC and EDC,(Given)(Vertical opposite angles)
By AA rule of similarity,
Corresponding angles of similar triangles are same.
Therefore the measure of CED is p degree.
pls give brainest
A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).
Answer:
0.25q
Step-by-step explanation:
A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.
A quarter is a coin in the United States which is 25 cents.
Converting 25 cents to dollars:
100 cents = $1
25 cents = 25 cents × $1 / 100 cent = $0.25
The total amount of money registered = number of quarters × $0.25
The total amount of money registered = q × $0.25 = 0.25q
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nsjakensnsjskdkdkdjjsjsjshshsjzjs
Answer:
Step-by-step explanation:
please help asap :)
(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
−2x+y=−5
2x+y=−5
−2x+y=5
−2x+y=−11
Answer: −2x+y=−11
(4,-3) = −2x+y=−11.
Answer: −2x+y=−11.
HURRY ON A TIMER PLEASE HELP
which shows all the like terms in the expression
Answer:
the second one -3and1 :4x and 7x
Step-by-step explanation:
Answer:
-3 and -1; 4x and 7x
Step-by-step explanation:
like terms are the numbers with the same variable
eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are
How many solutions does this problem have 7(y+3)=5y+8
Answer:
7(y+3)=5y+8
y= -3/2 One solution
Step-by-step explanation:
Can someone answer this and explain how to solve the 3 with the exponent of -4?
Answer:
3⁷
Step-by-step explanation:
When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Exponents and power,
Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-
[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]
so we apply here same,
also
[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]
so we get as,
[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]
this is the answer.
The new number, 550, is 200 more than the original number. What is the approximate percent change?
The percent change is approximately 33%.
The percent change is approximately 55%.
The percent change is approximately 150%.
The percent change is approximately 175%.
Answer: I believe the answer is b. 55%
Step-by-step explanation:
200/ (550-200) * 100
Answer:
Ps the answer IS 55%
Step-by-step explanation:
Just took quiz on edg 2020
divide and answer in simplest form: 1/3 divided by 5
Answer:
1/15
Step-by-step explanation:
1. You can divide 1/3 by 5 by changing the division symbol to its reciprocal, multiplication, and also divide by the reciprocal of the number after the symbol, 5. The reciprocal of 5 is 1/5.
2. Now you can do 1/3 multiplied by 1/5. Multiply the numerators by the denominators. The numerators are 1 and 1, so you multiply 1 by 1 which equals 1. Now you multiply the denominators, 3 and 5, which is equal to 15. If the numerator is now 1, and the denominator is 15, the new fraction is 1/15, getting you to your answer
can yall help me out please.
Answer:
which one equals 12? option C
Step-by-step explanation:
the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value
Answer:
a) 20 - 3^2 = 11
b) 5th, 20 - 5^2 = -5
Step-by-step explanation:
The answer assumes your terms begin at 1. If the terms begin at zero
a) 16
b) 6th term
if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers
Answer:
a)11
b)5th term
Step-by-step explanation: