Answer: 4 1/6
Step-by-step explanation:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.
Answer:
0.3264
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where
x is the raw score,
μ is the population mean,
σ is the population standard deviation.
(x-μ) = 3.6 mm
σ = √variance = √64 = 8mm
z = 3.6/8
z = 0.45
Using the Probability table
P(x<Z) = 0.67364
P(x>Z) = 1 - P(x<Z)
1 - 0.67364
= 0.32636
Approximately = 0.3264
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score
Complete question :
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score 25th, 75th, 95th
Answer:
1.) 25th percentile = 74.95
2.) 75th percentile = 95.05
3.) 95th percentile = 109.75
Step-by-step explanation:
Given that :
Mean (m) = 85
Standard deviation (s) = 15
The Zscore, corresponding to the percentiles given:
25th percentile score corresponds to a Zscore of - 0.67
Recall the relation:
Zscore = (x - m) / sd
x = score; m = mean = 85 ; sd = standard deviation = 15
-0.67 = (x - 85) / 15
15 * - 0.67 = x - 85
-10.05 = x - 85
x = 74.95
2.) 75th percentile ; Zscore = 0.67
0.67 = (x - 85) / 15
15 * 0.67 = x - 85
10.05 = x - 85
x = 10.05 + 85
x = 95.05
3.) 95th percentile ; Zscore = 1.65
1.65 = (x - 85) / 15
15 * 1.65 = x - 85
24.75 = x - 85
x = 24.75 + 85
x = 109.75
Kara and Nathan participated in a 60-minute maze race.
Kara:
32 minutes
Nathan:
40 minutes
Part B
Is the relationship in Part A rational or irrational? Justify your answer.
Select the answers that complete the sentences.
Hint(s): A rational number can be written as a ratio of two integers.
Can the times for each be written as integers?
The relationship is
The number
be expressed as a ratio of two integers.
1 rational
11 irrational
can
I cannot
Answer:
A) There is a rational relationship, B) Given ratio is not an integer.
Step-by-step explanation:
A) Is the relationship in Part A rational or irrational? Justifty your answer.
From Mathematics we remember that a rational number can formed by dividing a natural number by another natural number. Since Kara and Nathan had two natural numbers {32, 40} as their times of participation in the maze race, ratio between those times can be considered a rational number.
Hence, there is a rational relationship.
B) Can the times for each be written as integers?
The times represents the ratio of the upper number (40) to the lower number (32), the "times" can be written as integer if and only if denominator is equal to 1 after simplifying the ratio. That is:
[tex]x = \frac{40}{32}[/tex]
[tex]x = \frac{20}{16}[/tex]
[tex]x = \frac{10}{8}[/tex]
[tex]x = \frac{5}{4}[/tex]
In consequence, this ratio does not represent an integer. ([tex]1.25=\frac{5}{4}[/tex])
x - 4x + 2 = -X- 2x + 3
Plz help
The question is wrong bro.
2.4 x 0.87 help help help
Answer:
2.088
Step-by-step explanation:
Trust me I am in high school honors algebra with almost an average of 100.
The product of 2.4 x 0.87 is 2.088.
What is a decimal ?A decimal is represented by a dot which separates the whole part and the fractional part of a number.
According to the given question we have to multiply two decimals numbers 2.4 and 0.87.
Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.
So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.
learn more about decimals here :
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Which transformation reflects f(x)=(x-1)² over the y-axis?
A) f'(x) = 0.3((x-1)²+1)
B) f'(x) = -3((x-1)²+1)
C) f'(x) = (-4x-1)²+1
D) f'(x) = (0.1x-1)²+1
Answer:
A) f'(x) = 0.3((x-1)²+1)
Step-by-step explanation:
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
Help! Need ASAP! ;((
Answer:
7+(-11)
Step-by-step explanation:
because it starts from 0 to 7 then goes down 11
so 7+(-11)
brainlist pls ;>
The trainer's goal was to have Lucky gain weight. Was the goal met? Explain.
Answer:
Yes the trainer was successful in an attempt for lucky to gain weight.
Step-by-step explanation:
Lucky was a weak and thin body shaped person who came to a gym trainer to gain weight. The trainer started to guide Lucky that he has to go for supplements and heavy weight lifting in order to gain weight. After 3 month's of hard work lucky has finally gained weight from 55 kg to 88 kgs.
A small town has two local high schools. High School A currently has 750 students
and is projected to grow by 75 students each year. High School B currently has 900
students and is projected to grow by 25 students each year. Let A represent the
number of students in High School A in t years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine how many students would be in each high school in the year they
are projected to have the same number of students.
Ok
Answer:
A=750 +75*t
B=900 +25*t
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Step-by-step explanation:
You know that High School A currently has 750 students and is projected to grow by 75 students each year. With A being the number of students in High School A in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:
A=750 +75*t
You know that High School B currently has 900 students and is projected to grow by 25 students each year. With B being the number of students in High School B in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:
B=900 +25*t
You want to determine how many students there would be in each high school in the year that they are projected to have the same number of students. That is, in year t the number of students is the same, so
A = B
750 +75*t=900 + 25*t
Solving:
75*t -25*t= 900 - 750
50*t= 150
[tex]t=\frac{150}{50}[/tex]
t=3
This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:
A=750 +75*t= 750 +75*3= 975
B=900 + 25*t=900 + 25*3= 975
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Answer: REAL ANSWER
A= 75t +750
B=25t +900
Answer: 975 students
HELP!!!!!!!
What is 2 8/10 + (-3.5) in decimal form
Answer: -0.7
Step-by-step explanation:
please answer this The cost of 2.5 pounds of cheese is $5.60.
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
$11.20
Step-by-step explanation:
you just double the cost of 2.5 pounds because 2.5 +2.5 is 5
Answer:20.16
Step-by-step explanation:
That is we want the price of
9
pounds (lets call it
$
x
) to be such that
$
5.60
:
2.5
pounds
is the same as
$
x
:
9
pounds
or written as fractions, we want
$
5.60
2.5
pounds
=
$
x
9
pounds
That is
XXX
$
x
=
$
5.60
2.5
pounds
×
9
pounds
XXXXX
=
$
50.40
2.5
=
$
20.16
1. tentukan hasil dari 243⅔?
2. tentukan hasil dari
√32 +3√18-2√50?
3.tentukan hasil dari 1000 ⅔×64⅙?
4. resionalkan bentuk akar dari 3/4+√2?
5. hasil dari 2√3×√18:√2 adalah?
6 bentuk sederhana dari :12/3+√3 adalah ?
7. hasil dari √1000—2√40 adalah
8. hasil dari 2- ¹+3-¹ adalah?
9. bentuk dari 5√5, jika dirsionalkan penyebutnya adalah?
10. hasil dari 2√3×√18:√6 adalah ?
[tex]tolong bantu nya[/tex]
Penjelasan langkah demi langkah:
1)
[tex]= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49[/tex]
2) √32 +3√18-2√50
= √16*2 +3√9*2-2√25*2
= 4√2 + 3(3√2)-2(5√2)
= 4√2 + 9√2-10√2
= 13√2-10√2
= 3√2
3) 1000 ⅔×64⅙
[tex]= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200[/tex]
4) 3/4+√2
[tex]3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }[/tex]
5) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
6) 12/3+√3
= 4+√3
7) √1000—2√40
= 10 -2 (√4*10)
= 10-2(2√10)
= 10 - 4√10
8) 2- ¹+3-¹
[tex]= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}[/tex]
9)
[tex]\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}[/tex]
Jika pernyataannya opsional, penyebutnya adalah 1
10) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
Solve for b. Show your work: 3b+2(b-3)=4 HELP
Answer:
b=2
Step-by-step explanation:
First multiply everything in the parenthesis by the 2 outside of them then combine like variables to get the equation 5b-6=4 then subtract 6 from both sides then divide by 5 to get b=2.
Tyler earned 60 points on his last test. If there were 75 possible points, what was his percent grade?
Answer:
his percent grade was 80
Step-by-step explanation:
15 is 20 percent of 75
This is a proportion problem. Eric earned 60 out of a possible 75 points, so the ratio is 60/75. You put that equal to x, so 60=x% and 75=100%. So it would look like
60 = x
75 100
then you cross multiply 60 and 100, and 75 and x, so you get
6000=75x
then divide by 75 and you have your percent
You change a fraction into a percentage by multiplying by 100.
So, for example, half is 1/2. Multiply by 100 gives 100/2=50. So half is 50%.
Order the fractions 1/2, -2/3, -3/8 0 from least to greatest
Answer:
-2/3, -3/8, 0, 1/2
Step-by-step explanation:
please whats the answer?
Answer:
B
Step-by-step explanation:
since it is negative its below
hope this helps :3
if it did pls mark brainliest
Answer:
B. 282 feet below sea level
Step-by-step explanation:
Use the stem-and-leaf plot of Monthly Sales Goals to answer the question that follows.
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
What is the median monthly sales goal? (2 points)
a. $26,000
b. $29,600
c. $30,000
d. $30,500
Answer:
The median monthly sales goal is $30000
Step-by-step explanation:
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40
n = 12(even)
[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]
[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]
So, The median monthly sales goal is $30000
So, Option C is true
"There are 9 students in a class. 3 of them are selected to form a committee where each member is assigned a unique position in the committee (President, Vice President, etc.) How many different committees are possible?"
Answer:
6
Step-by-step explanation:
3.1 to the nearest tenth
Answer:
3.1 to the nearest tenth is 3.1.
Step-by-step explanation:
The first decimal place is the tenths place. Hope this helps!
3.1 because 1 can't be raised to the next number
Select the word problem that can be modeled by the addition of two negative numbers. A Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions? B Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions? C Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? D Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?
Step-by-step explanation:
Word problem which can be modeled by the addition of two negative numbers :
A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions
Amount spent on cracker = - $4
Amount spent on carrot = - $3
Change in account = - 4 + (-3) = - $7
B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?
Amount received from sale of cat = $9
Amount spent on plant = - $4
Change in account = 9 + (-4) = $5
C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?
Amount received from sale of pottery = $9
Amount received from sale of hat = $2
Change in account = 9 + 2 = $11
D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Amount spent on VCR = - $8
Amount received from sale of VCR = $9
Change in account = - 8 + 9 = $1
In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population.
Required:
What will be the standard deviation of the sampling distribution?
Answer:
The value is [tex]\sigma _x = 1.1832[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 25[/tex]
The population standard deviation is [tex]\sigma = 7[/tex]
The sample size is n = 35
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma _x = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma _x = \frac{7}{\sqrt{35} }[/tex]
=> [tex]\sigma _x = 1.1832[/tex]
What does a temperature of what does a temperature of 9°C mean?
Choose the best answer.
✓ Choose...
The Celsius temperature is 9 degrees above zero.
The Celsius temperature is zero.
The Celsius temperature is 9 degrees below zero.
Answer:
I think it the first answer
Step-by-step explanation:
Im not positive but hope that right
kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards does he have left?
You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
A. x + 15 ≥ 60
B. x – 15 ≥ 60
C. x – 15 ≤ 60
D. x + 15 ≤ 60
Answer:
D is the correct answere
2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
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explain why the quadratic relation y=2x^2+3x+5 would have no zeros
Complete the square to rewrite the quadratic:
2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5
... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5
... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8
... = 2 (x + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.
A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.) Drawing a black card or a face card
Answer:
8/13
Step-by-step explanation:
In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 26 black cards in a standard deck so,
P(A)=26/52.
There are 12 face cards in a standard deck so,
P(B)=12/52.
There are 6 cards that are black face cards.
P(A∩B)=6/52.
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=26/52+12/52-6/52
P(A∪B)=38/52-6/52
P(A∪B)=32/52
P(A∪B)=8/13
Thus, probability of drawing a black card or a face card is 8/13.
will give u brainliest if i get it write hurry!!!
Answer:
c trust me
and well i just did that 20 mins ago
Answer:
C for sure hope you get it
please help me thank youu
Answer:
Step-by-step explanation:
C = 4
The reason of this is because the absolute value of any number is always positive so that's why.