Answer:
3t-10
Step-by-step explanation:
[tex]( \frac{12t}{8} - 5)2[/tex]
[tex] = (\frac{12t}{8} - \frac{5 \times 8}{8} )2[/tex]
[tex] = ( \frac{12t - 40}{8} )2[/tex]
[tex] = ( \frac{2(12t - 8)}{8} )[/tex]
[tex] = 3t - 10[/tex]
Y=2x^3 linear or nonlinear
Answer: linear
Step-by-step explanation:
Answer:
LINEAR...................
Step-by-step explanation:
y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)
The average age of all the JSOM students is 24 years with a standard deviation of 9 years. Of 8,000 students, a random sample of 36 students is selected. What is the probability that the sample mean will be between 25.5 and 27 years?
Answer:
The probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Step-by-step explanation:
Let X denote of age of JSOM students.
The information provided is:
[tex]\mu=24\\\sigma=9\\n=36[/tex]
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.
Compute the probability that the sample mean will be between 25.5 and 27 years as follows:
[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]
Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.
A rectangle a photo with dimension 3 inches wide by 4 inches long is enlarged to a length of 12 inches what is the width of the enlarged print
What is the Additive inverse of -7?
Answer:
7
Step-by-step explanation:
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.
The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.
Examples
In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.
-3 + 3 = 0
3 - 3 = 0
The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.
Answer:
7
Step-by-step explanation:
The additive inverse of a number is is the number that, when added to it, yields zero.
Refrigerators in a random sample of 55 refrigerators, the mean repair cost was $150.00 and the standard deviation was $15.50. Construct a 90% confidence interval for the population mean repair cost. Interpret the results.
Answer:
146.5619<x<153.4381
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as:
CI = xbar±(z*s/√n)
xbar is the mean = 150
s is the standard deviation = 15.50
n is the sample size = 55
z is the z score at 90% CI = 1.645
Substitute and get CI
CI = 150±(1.645*15.50/√55)
CI = 150±(1.645*15.50/7.4162)
CI = 150±(1.645*2.09)
CI = 150±(3.4381)
CI = (150-3.4381, 150+3.4381)
CI = (146.5619, 153.4381)
CI = 146.5619<x<153.4381
Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381
The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153
1. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Calculate the Z score associated with 3 siblings. Your answer should be rounded to two decimal places, like 5.43 or 1.30.
2. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Using the standard normal table, calculate the proportion of respondents who had more than 2 siblings. Your answer should be rounded to two decimal places, like 0.43 or 0.30.
Answer:
-0.24 ; 0.71
Step-by-step explanation:
Given that :
Mean number of siblings (m) = 3.76
Standard deviation (s) = 3.18
Z score associated with 3 siblings
x = 3
Using the relation :
Zscore = (x - m) / s
Zscore = (3 - 3.76) / 3.18
Zscore = - 0.76 / 3.18
Zscore = −0.238993
Zscore = - 0.24
2.) proportion of respondents with more than 2 siblings
Using the z probability calculator :
X > 2
Obtain the standardized score :
Zscore = (x - m) / s
Zscore = (2 - 3.76) / 3.18
Zscore = - 1.76 / 3.18
Zscore = −0.5534591
Zscore = - 0.55
Using the z table :
P(Z ≥ - 0.55) = 1 - p(Z ≤ - 0.55) ; p(Z ≤ - 0.55) = 0.2912
1 - p(Z ≤ - 0.55) = 1 - 0.2912 = 0.7088 = 0.71
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
Answer:
x=5
Step-by-step explanation:
I was working on this problem also.
Maybe my version will help, too.
You need to sketch f given the information you have.
f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)
f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.
f then slopes down to to x=5 where is has a minimum and then slopes up.
if im not wrong
The total length of wires A,B and C is 445cm. Wire A is 45cm longer then wire B,and wire B is half as long as wire C. How long is wire A?
Answer:
A = 145cm
Step-by-step explanation:
A+B+C = 445cm
b = 1/2c
a = b+45 = 1/2c + 45
445 = c + (0.5c) + (0.5c + 45)
445 = 2c + 45
445 - 45 = 2c
400/2 = c
c = 200cm
a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm
can someone help me pls
Answer:use a calculator if you want since all you do is put in the calculator
Step-by-step explanation:
3/7 is 0.428571428
meanwhile 1/4 is 0.25...
which one do you think is bigger
3/7
so it is greater
Pat's soccer team has 15 players. 2/3
of the players went out for frozen yogurt after their last win. How many players went out for yogurt?
Answer:
10
Step-by-step explanation:
What is 2s + 5 > 49 ?
Answer:
s>22
Step-by-step explanation:
2s>49−5
2s>44
s>44/2
s>22
Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 8 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Answer:
The probability that the person answered "yes" or was male is 0.537
Step-by-step explanation:
The union of events is equivalent to the disjunction "or". Given two events A and B, the union of events, denoted by A∪B, is defined as the event formed by all the elements that are in A or B. That is, the event A∪B is verified when one of the two or both occurs.
Considering two events A and B with probabilities P (A) and P (B), respectively, the probability of their union is given by:
P(A∪B)= P(A) + P(B) - P(A∩B)
In this case:
A: the person answered "yes" B: the person was maleSo, being the probability calculated as the number of favorable cases divided by the total number of possible cases, then in this case it is known that the number of people who answered yes is 64, while the number of people who responded is not 70. Therefore , the total number of people who answered is equal to 64 + 70 = 134. So, the probability of answering yes is:
P(A)=[tex]\frac{64}{134}[/tex]=0.478
On the other hand, you know that out of 64 people who answered yes, the number of being male is 6. And out of 70 people who answered no, the number of being male is 8. So the probability that men answer yes is calculated as:
P (A∩B) =[tex]\frac{6}{134}[/tex]= 0.045
Finally, with the total number of men equal to 6 + 8 = 14, the probability of being male is:
P(B)=[tex]\frac{14}{134}[/tex] = 0.104
Then:
P(A∪B)= P(A) + P(B) - P(A∩B)
P(A∪B)= 0.478 + 0.104 - 0.045
Solving:
P(A∪B)= 0.537
The probability that the person answered "yes" or was male is 0.537
6. What is an equation of the line that passes
through the point (2, 4) and is perpendicular to
the line whose equation is y = 2x + 1?
Answer:
Using the slope-intercept form, the slope is 2 2 .
Step-by-step explanation:
The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.
Solve for www. -4(w+1) = -24
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-4w-4=-24
-4w=-24+4
-4w=-20 to find w divide both side by -4
-4w/-4 =-20/-4
w=5
If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.
True or False ?
Answer:
True ; it is true
Step-by-step explanation:
The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.
What is variation?Variation describes a simple relationship between two variables.
Therefore, y varies jointly as x and z and inversely as the square of w
y ∝ xz ∝ 1 / w²
Therefore,
y = kxz / w²
where
k = constant of proportionality
Hence,
y = 3
x = 3
z = 10
w = 2
yw² / xz = k
k = 3 × 2² / 3 × 10
k = 12 / 30
k = 6 / 15 = 2 / 5
Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.
k = 4 × 4² / 4 × 20
k = 64 / 80
k = 16 / 20 = 4 / 5
learn more on variation here: https://brainly.com/question/17068737
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PLEASE HELPP ILL MARK BRAINLIEST According to a personal study, the equation ý= 8.6067x +116.6567 models the average number of calories burned by
a 160 lb individual, where x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute
jog.
According to this regression equation, what is the approximate calories burned for an individual who spent 30 minutes weight lifting?
about 258 calories
o about 375 calories
about 406 calories
about 452 calories
Answer:
if x: 10 y: 202 then...
x: 30 y: 374.858 burned calories.
therefore, 375 calories.
About 375 calories burned for an individual who spent 30 minutes weight lifting
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given,
ý= 8.6067x +116.6567 the average number of calories burned by
a 160 lb individual.
In the given equation x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.
We need to find the approximate calories burned for an individual who spent 30 minutes weight lifting
To find this we just need to put x value as 30
ý= 8.6067(30)+116.6567
y=258.201+116.6567
y=374.85
y=375
Hence, about 375 calories burned for an individual who spent 30 minutes weight lifting
To learn more on slope intercept form click:
https://brainly.com/question/9682526
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Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.
Answer:
A C E
Step-by-step explanation:
I'm a little late but I hope this still helps!
Answer:
yeah what he said. A C E
Step-by-step explanation:
I just did the assignment and its right
Find the circumference of a circle whose
area is 49pi sq units.
Answer: C=2πr
r Radius
Marty swans 36 yards in 42 seconds. If he continues to swim at the same rate, how long will it take him to swim 500 yards
whats 9+10 ??????????????????????
Answer:
19
Step-by-step explanation:
yerreeer cause u add duh
Evaluate and simplify the expression
when x= 3 and y = 5.
2y + 3(x - y) + x2 = [ ? ]
Answer:
13
Step-by-step explanation:
x = 3 & y = 5
2y + 3(x - y) + x² = 2*5 + 3(3 - 5) + 3²
= 2*5 + 3*(-2) + 3²
= 10 - 6 + 9
= 4 + 9
= 13
given that a=2 and b=3, what is (ab)^2
Answer:
(ab)² = 36
Step-by-step explanation:
Plug in 2 for a and 3 for b:
(2·3)²
Multiply 2 and 3:
6²
Square the number:
36
Write the Point Slope Form of the line of slope 5 and passing through the point (1, -1)
Answer: y+1 = 5(x-1)
Step-by-step explanation:
Tina wants to buy a bouquet
of red roses. The original price
is $24. How much will Tina PAY
if she buys it during the sale
when it is 25% off?
Answer:
18
Step-by-step explanation:
If we know she will have a 25% discount, we know she will only pay 75%. So you divide by 4 and get 6. So now, If we subtract 25% (6), our 75% will be 18.
Answer:
It's 18
Step-by-step explanation:
25 percent of 24 is 6 dollars, subtract 6 from 24, you get 18, your welcome :D
Which of the following equations has only one solution?
X( x - 1) = 9
x2 - 6x + 9 = 0
x2 = 9
Answer:
x^2 - 6x + 9
Step-by-step explanation:
x(x - 1) = 9
x^2 - x - 9 = 0
x = 3.54 or x = -2.54 (using quadratic formula)
x^2 - 6x + 9 = 0
(x-3)^2 = 0
x = 3
x^2 = 9
x = ±√3 (any positive number square rooted always have 2 answers)
Plz help with A and D!
Answer:
Yes it's B or C
Step-by-step explanation:
Daniel bought a package of 12 water bottles for $6. Write an equation that relates the cost, c, of a package of water bottles to the number of bottles, b, in the package?
Answer:
c = 2b
Step-by-step explanation:
First, find the cost of one water bottle by dividing the total cost by the number of water bottles:
12/6
= 2
Then, set up an equation.
2b, where b is the number of bottles, represents the cost of the package of water bottles.
Set this equal to c, the cost, to create the equation.
c = 2b is the equation relating the cost to the number of bottles
I'll braintlist!!!
Find the value of each expression in lowest terms:
1/6 X 11/4
11/5 X 1/3
14/3 X 1/5
5/3 X 2/5
3/4 X 8/9
5/2 X 2/7
please help i will give brainlyest
Answer:
1 (6/6)
Step-by-step explanation:
because 1/3 will turn into 2/6 so when you add them it will be 6/6 :)
Answer:
6/6 which would be simplified as 1
Step-by-step explanation:
First you have to mutiply the second fraction by 2, both numbers so that both of the bottem numbers in both fractions are the same. Then you add the top numbers and the bottem ones stay the same, which would be 6/6
Then if you have an anoying math teacher, like me, who wants you to simplify everything that answer would be one
Write the list of numbers in order from smallest to largest.
0.551, 0.554 , 5/6