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Answer:
3 ⇒ 12
Step-by-step explanation:
Apparently "a = b" in this case is used to mean f(a) = b. It appears as though the function is ...
f(x) = x(x+1)
Then f(3) = 3(3+1) = 3·4 = 12
_____
Additional comment
IMO this is a poor use of the equal sign, which should be reserved for situations where the left side expression has the same value as the right side expression.
1/2 of 12=1/4 of?
1/3 of 90=2/3of?
Answer:
24 and 45
Step-by-step explanation:
Okay, now that I can answer this question with the right answers:
The easy way to do this is to first solve the left hand side of the equation.
1/2 of 12 is the same as 12/2 = 6.
So 6 = 1/4 * x
To solve for that unknown x, just multiply both sides by 4 to cancel out the fraction:
6*4 = 4* 1/4*x
24 = x
For the other equation, do the same thing:
1/3 * 90 = 90/3 = 30
30 = 2/3*x
30*3 = 3* 2/3 *x
90 = 2x
90/2 = 2x/2
45 = x
Given the number 2376.458 rounded to the following place values: 1) Rounded to the nearest hundred, 2) Rounded to the nearest whole unit, 3) Rounded to the nearest hundredth,
Answer:
1)2400
is the result of rounding 2376.458 to the nearest 100.
2) 2376
is the result of rounding 2376.458 to the nearest integer.
3)2376.46
is the result of rounding 2376.458 to the nearest 0.01
I hope this is right and it helps !!!!!!!!!!!!!!!!
Answer:
1(2400)
2(2376)
3(2376.46)
Step-by-step explanation:
it's just your fraction skills
A system of vertices connected in pairs
by edges. Definition
can you please answer this????
Answer:
x = 5
Step-by-step explanation:
I'm taking all bases as b so not typing it
2/3 log 125 = log (125^2/3) = log 25
1/2 log 9 = log (9^1/2) = log 3
So we can rewrite the equation as,
log x = log 25 + log 3 - log 15
or, log x = log (25×3) - log 15
or, log x = log 75 - log 15
or, log x = log (75/15)
or, log x = log 5
or, x = 5
Answered by GAUTHMATH
Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).
Answer:
Step-by-step explanation:
f(n) = 8 + 3(n) - 3
f(n) = 5 + 3n
f(1) = 5 + 3(1)
f(1) = 8
f(2) = 5 + 3(2)
f(2) = 5 + 6
f(2) = 11
f(3) = 5 + 3*3
f(3) = 14
f(4) = 5 + 3*4
f(4) = 17
5. Sam wrote the expression below.
10 +15k
Rami said that this expression is equivalent to 5(3k + a)
Kenneth said this expression is equivalent toyk+6+8k+4.
Who is correct and why? Explain your thinking clearly,
Answer:
see below
Step-by-step explanation:
10 + 15k
Factor out the greatest common factor 5
5( 2+3k)
Rewriting
5(3k+2)
Rami is correct if a=2 then his expression is 5(3k+2)
Kenneth
yk+6+8k+4
Add the terms together
k(y+8) + 10
If y =7 then Kenneth is correct otherwise he is incorrect
Sam's monthly bills are normally distributed with mean 2700 and standard deviation 230.9. He receives two paychecks of $1500 each in a month, post taxes and withholdings. What is the probability that his expenses will exceed his income in the following month?Ð) 10%. B) 16%.C) 21%.D) 29%.E) 37%.
Answer:
A) 10%
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.
Sam's monthly bills are normally distributed with mean 2700 and standard deviation 230.9.
This means that [tex]\mu = 2700, \sigma = 230.9[/tex]
What is the probability that his expenses will exceed his income in the following month?
Expenses above 2*1500 = $3000, which is 1 subtracted by the p-value of Z when X = 3000.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3000 - 2700}{230.9}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a p-value of 0.9032.
1 - 0.9032 = 0.0968 that is, close to 10%, and thus the correct answer is given by option A.
Suppose that the functions and g are defined for all real numbers x as follows.
f(x)=x+6
g(x) = 2x + 6
Write the expressions for (f-g)(x) and (fg)(x) and evaluate (f+g)(1).
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x + 6
g(x) = 2x + 6
(f - g)(x) = (x + 6) - (2x + 6)
= -x
(f . g)(x) = f(x) × g(x)
= (x + 6)(2x + 6)
= 2x² + 6x + 12x + 36
= 2x² + 18x + 36
(f + g)(x) = (x + 6) + (2x + 6)
= 3x + 12
(f + g)(1) = 3(1) + 12
= 15
What is the slope of the line?
-3
-1/3
1/3
3
Answer:
D) 3
Step-by-step explanation:
Rise/run, rise is 3, run is 1
Answer:
3
Step-by-step explanation:
Pick two points on the line
(0,0) and ( 1,3)
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 3-0)/(1-0)
= 3/1
= 3
Y
X
Pls help me you’ll get 29 points
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+x+x = 180
3x = 180
Divide by 3
3x/3 =180/3
x = 60
Solve the inequality (help please)
Answer:
v<1 23/25
Step-by-step explanation:
The inequality simplifies to 48/25, which is equivalent to 1 23/25.
Blood pressure values are often reported to the nearest 5 mmhg (100, 105, 110, etc.). the actual blood pressure values for nine randomly selected individuals are given below.
108.6 117.4 128.4 120.0 103.7 112.0 98.3 121.5 123.2
Required:
a. What is the median of the reported blood pressure values?
b. Suppose the blood pressure of the second individual is 117.7 rather than 117.4 (a small change in a single value). What is the new median of the reported values?
c. What does this say about the sensitivity of the median to rounding or grouping in the data?
Answer:
Step-by-step explanation:
Arranging the data in the ascending order:
108.6 98.3 103.7 112 117.4 120 121.5 123.2 128.4
The median is the middle value of the data set:
a)
Hence,
median = 117.4
b)
When the value of blood pressure is 117.7 instead of 117.4 then the median will be:
Median = 117.7
c)
This indicates that the median of a well sorted set of data is depends upon the middle value of the data set.
What is the range for the following set of numbers?57, -5, 11, 39, 56, 82, -2, 11, 64, 18, 37, 15, 68
so
82-(-2)
=84
then ur answer is 84
Hello everyone can someone answer this question please
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Answer:
(a) 2
Step-by-step explanation:
Each inch is 2.54 cm, so 5.08 cm is ...
x / (5.08 cm) = (1 in) / (2.54 cm)
x = (1 in)(5.08/2.54) = (1 in)(2)
x = 2 in
5.08 cm equals 2 inches.
Write the equation of each line in slope intercept form. Slope is -6, and (1,-2) is on the line
(-1/2^5)×2^3×(3/4^2) [EVALUATE]
Step-by-step explanation:
here's the answer to your question
PLEASE HELP!! MIGHT GIVE BRAINLIEST!!!!!
Graph a line with x - intercept of -2 and has a slope of 3
Answer:
The answer must be between 20 and 5000 characters
A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence items what percentage of the original price do you end up paying?
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Answer:
27%
Step-by-step explanation:
The price multiplier for the first discount is (1 -55%) = 0.45.
The price multiplier for the second discount is (1 -40%) = 0.60.
Then the price multiplier for the two discounts together is ...
(0.45)(0.60) = 0.27
You end up paying 27% of the original price.
Question 5 of 25
Find the common ratio for this geometric sequence.
0.7, 2.1, 6.3, 18.9,...
O A. 1.4
O B. 3
O C.-3
D. 0.33
SUBMIT
Answer:
3
Step-by-step explanation:
common ratio
2.1/0.7=3
6.3/2.1=3
18.9/6.3=3
therefore common ratio is equal to 3
Find all the zeros of f(x).
f(x) = 2x3 + 7x2 - 28x + 12
Arrange your answers from smallest to largest. If
there is a double root, list it twice.
Plz help!
Answer:
The zeroes are -6, 1/2 and 2.
Step-by-step explanation:
f(x) = 2x3 + 7x2 - 28x + 12 = 0
From the first and last coefficient 2 and 12, one guess for a zero is x = 2.
So substituting x = 2:
f(2) = 16+ 28 - 56 + 12 = 0
So x = 2 is a zero and x - 2 is a factor of f(x)
Performing long division:
x - 2)2x3 + 7x2 - 28x + 12( 2x2 + 11x - 6 <------- Quotient
2x3 - 4x2
11x2 - 28x
11x2 - 22x
- 6x + 12
-6x + 12
.............
Now we solve
2x2 + 11x - 6 = 0
(2x - 1)(x + 6) = 0
2x - 1 = 0 or x + 6 = 0, so:
x = 1/2, x = -6.
Answer: -6, 1/2, 2.
Step-by-step explanation:
{(x) = 2x3 + 7x2 - 28x + 12 = 0
From the first and last coefficient 2 and 12, one
guess for a zero is x=2.
So substituting x=2:
{(2) = 16+ 28 - 56 + 12 = 0
So x = 2 is a zero and x - 2 is a factor of f(x)
Performing long division:
X - 2)2x3 + 7x2 - 28x + 12(2x2 + 11x - 6 <
Quotient
Find the missing side. Round your answer to the nearest tenth
Answer:
x = 24.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Sin theta = opp / hypotenuse
sin 75 = 24 /x
x sin 75 = 24
x = 24/ sin 75
x=24.84662
Rounding to the nearest tenth
x = 24.8
!!! HELP ASAP !!! I almost got the problem but the problem was the rounding. I believe I rounded right but it is still incorrect. Can someone please help me on the rounding portion of the question? Thank you for your help!!!
1. Define the following: Odds ratio Relative risk 2. Describe how to calculate the Odds ratio and provde the formula. 3. Describe how to calculate the Relative Risk and provide the formula.
Answer and Explanation:
Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.
Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.
38)
A man completes a job in 5 days working 8 hours a day. How many days will he take to complete the same job working 2 hours overtime per day in addition?
Answer:
dbcjchdiskcnbcksksnnckdkxnn
PLEASEEEE HELPPPPPPP!!!!!
To find S or T add them together:
3/5 + 1/3
Rewrite the fractions to have a common denominator
9/15 + 5/15 = 14/15
Answer: 14/15
Step-by-step explanation:
Here is your answer . Hope it helps.
Evaluate the following expressions using the chip method. SHOW ALL WORK!!!
Answer:
a. -7 b. -20c. 7Step-by-step explanation:
a. -9+2, in this case, it is -7 because you take the bigger number and subtract it by the lower number. If the bigger number is negative your answer will be negative, if the bigger number is positive it will be positive it is just really a basic subtraction problem just add the sign.b. In multiplication +++=+ ++-=- and a -+-=+ do your problem without thinking about the signs and then add the signs with the formula I showed you.c. ---=+Hope this helps :)!
B
15x+7
6x+2y|
y +3
2y + 1
С
E
The triangles are congruent. Find the length of each hypotenuse.
A. 3
B. 5
C 17
Answer:
Hypothenus = 22
Step-by-step explanation:
From the question given above, we were told that the triangles are congruent (i.e same size). Thus,
AC = EF
BC = DE
To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:
For y:
AC = y + 3
EF = 2y + 1
AC = EF
y + 3 = 2y + 1
Collect like terms
3 – 1 = 2y – y
2 = y
y = 2
For x:
BC = 5x + 7
DE = 6x + 2y
y = 2
DE = 6x + 2(2)
DE = 6x + 4
BC = DE
5x + 7 = 6x + 4
Collect like terms
7 – 4 = 6x – 5x
3 = x
x = 3
Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:
Hypothenus = BC
Hypothenus = 5x + 7
x = 3
Hypothenus = 5x + 7
Hypothenus = 5(3) + 7
Hypothenus = 15 + 7
Hypothenus = 22
OR
Hypothenus = DE
DE = 6x + 2y
y = 2
x = 3
Hypothenus = 6(3) + 2(2)
Hypothenus = 18 + 4
Hypothenus = 22
A psychologist suspects that heroin addicts have a different assessment of self-worth than others in the general population. On a test designed to measure self-worth, the mean for the general population is 48.6. The psychologist obtains a random sample of 40 test scores produced by heroin addicts and found the sample mean and the sample standard deviations are 45.5 and 8.5, respectively. Do these data indicate the self-worth of heroin addicts is less than that of the general population?
Answer:
The p-value of the test if 0.0131, which is less than the standard significance level of 0.05, meaning that these data indicates that the self-worth of heroin addicts is less than that of the general population.
Step-by-step explanation:
On a test designed to measure self-worth, the mean for the general population is 48.6.
At the null hypothesis, we test if the mean is of 48.6, that is:
[tex]H_0: \mu = 48.6[/tex]
A psychologist suspects that heroin addicts have a different assessment of self-worth than others in the general population. Test if it is lower.
At the alternative hypothesis, we test if the mean is lower, that is:
[tex]H_1: \mu < 48.6[/tex]
The test statistic is:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
48.6 is tested at the null hypothesis:
This means that [tex]\mu = 48.6[/tex]
The psychologist obtains a random sample of 40 test scores produced by heroin addicts and found the sample mean and the sample standard deviations are 45.5 and 8.5, respectively.
This means that [tex]n = 40, X = 45.5, s = 8.5[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{45.5 - 48.6}{\frac{8.5}{\sqrt{40}}}[/tex]
[tex]t = -2.31[/tex]
P-value of the test:
The p-value of the test is a one-tailed test(mean lower than a value), with t = -2.31 and 40 - 1 = 39 df.
Using a t-distribution calculator, this p-value is of 0.0131.
The p-value of the test if 0.0131, which is less than the standard significance level of 0.05, meaning that these data indicates that the self-worth of heroin addicts is less than that of the general population.
Uuannsnnsnndn d. DND. D
Answer:
im so confused
Step-by-step explanation:
Answer:
what is this goat saying
for every 5 people who bought $9.75 tickets to the football game, 3 people bought $14.50 tickets. If each of 35 people bought a $9.75 ticket, how many people bought the more expensive ticket?
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Answer:
21
Step-by-step explanation:
The number who bought expensive tickets is 3/5 of the number who bought cheap tickets.
(3/5)(35) = 21
21 people bought the more expensive ticket.
Answer:
21 people
Step-by-step explanation:
$9.75 $14.50
5 people to 3 people
35 people to ? people
consider the proportions: 5/3 = 35/?
we need the equivalent fraction of 5/3 that has 35 on the denominator
so 5/3 = (5/3)(7/7) because 7/7 =1, and 5*3 =35
5/3 = 5*7/3*7 = 35/21
