Answer:
15: 5, 2.5, 1.6666......
27: 9, 4.5, 3
Step-by-step explanation:
For 15:
So first you divide 15 by 5, which equals 3
Long division:
then by 6. 15/6 can be simplified to 5/2, which can be easier to figure out.
And by nine. 15/9 can be simplified to 5/3 which is harder than 5/2, but you can figure it out by long division. 3 fits once in 5, and there is two left over. Add a decimal after 1 and a zero after the two. 3 fits 6 times into 20 (18), but the cycle continues forever resulting in 1.666666.......
For 27:
27/3 is nine
for 27/6 you can simplify to 9/2, which is like 90/2=45, just move the decimal over one spot to make 4.5
for 27/9, the answer is 3
13) What is 4 1/2 subtracted from 5.33?
A. 0.43
B. 0.53
C. 0.83
D. 1.08
Given:
[tex]4\dfrac{1}{2}[/tex] subtracted from 5.33.
To find:
The value for the given statement.
Solution:
[tex]4\dfrac{1}{2}[/tex] subtracted from 5.33 can be written as:
[tex]5.33-4\dfrac{1}{2}[/tex]
On simplification, we get
[tex]=5.33-\dfrac{8+1}{2}[/tex]
[tex]=5.33-\dfrac{9}{2}[/tex]
[tex]=5.33-4.5[/tex]
[tex]=0.83[/tex]
Therefore, the correct option is C.
Use all the six numerals 4, 5, 6, 7, 8 and 9 to form two 3-digit even numbers whose sum is smallest, and what is the sum?
9514 1404 393
Answer:
476 +598 = 1074
Step-by-step explanation:
In order for the sum to be smallest, the two most-significant digits must be the smallest possible. That is, they must be 4 and 5.
The two least-significant digits must be even. The remaining even digits are 6 and 8. Then the tens digits are the digits left over: 7 and 9.
Possible sums are ...
476 +598 = 1074
478 +596 = 1074
496 +578 = 1074
498 +576 = 1074
The sum is 1074.
this khan academy problem confuses me... (5/3)^3= can anyone help me solve it?
Answer:
4.629
Step-by-step explanation:
(5/3)³5×5×5/3×3×3125/274.629.Hope it is helpful to you
If she is right, the object is worth $25, if she is wrong, the object is worth $4. How high does the probability of the object being authentic have to be for her to take the gamble (meaning purchase the fancy sardine) for $16
Answer:
The expected value for an event with outcomes:
{x₁, x₂, ..., xₙ}
Each one with probability:
{p₁, p₂, ..., pₙ}
Is just:
Ev = x₁*p₁ + ... + xₙ*pₙ
here we have two outcomes:
x₁ = the object worths $25
x₂ = the object is worth $4.
Each one with probability p₁ and p₂ respectively, such that:
p₁ + p₂ = 1
Then the expected value is:
Ev = p₁*($25) + p₂*($4)
Now we want to know how should be the probabilities, such that buying the object for $16 is whort.
Well, the purchase will be whort if the expected value is larger than $16.
This is equivalent to:
p₁*($25) + p₂*($4) - $16 > $0
Knowing that:
p₁ + p₂ = 1
we can rewrite:
p₂ = 1 - p₁
replacing that in the above inequality we get:
p₁*($25) + ( 1 - p₁)*($4) - $16 > $0
Now we can solve this for p₁
p₁*($25 - $4) + $4 - $16 > $0
p₁*$21 - $12 > $0
p₁*$21 > $12
p₁ > $12/$21 = 0.571
The probability of the object being authentic should be larger than 0.571 to take the gamble.
I need all the help I can get. please assist.
4. The equation of a curve is y = (3 - 2x)^3 + 24x.
(a) Find an expression for dy/dx
5. The equation of a curve is y = 54x - (2x - 7)^3.
(a) Find dy/dx
Answer:
4(a).
Expression of dy/dx :
[tex]{ \tt{ \frac{dy}{dx} = - 2(3 - 2x) {}^{2} + 24}}[/tex]
5(a).
[tex]{ \tt{ \frac{dy}{dx} = 54 - 2(2x - 7) {}^{2} }}[/tex]
use the function to find f(-2) f(x)=[tex]3^{x}[/tex]
Answer:
[tex] \frac{1}{9} [/tex]
Step-by-step explanation:
[tex]f( - 2) = {3}^{ - 2} [/tex]
[tex]1 \div 9 = .111[/tex]
Bill invested $4000 at 6%
compounded annually. Find the
accumulated amount at the end of
12 years.
Answer:
$ 8048.79Step-by-step explanation:
P = $4000t = 12 yearsr = 6% = 0.06Formula:
A = P(1 + r)^tThe total amount:
A = 4000*(1 + 0.06)^12 = 8048.79We have to find the,
Accumulated amount at end of 12 years.
The formula we use,
→ A = P(1+r)^t
It is given that,
→ P = $4000
→ t = 12 years
Then r will be,
→ 6%
→ 6/100
→ 0.06
Then the total amount is,
→ P(1+r)^t
→ 4000 × (1 + 0.06)^12
→ 8048.79
Thus, $ 8048.79 is the amount.
Solve 8x + c = k for x
Answer:
x = 1/8(k-c)
Step-by-step explanation:
8x + c = k
Subtract c from each side
8x +c-c = k-c
8x = k-c
Divide each side by 8
8x/8 = (k-c)/8
x = 1/8(k-c)
Answer:
x-1/8(k-c)
Step-by-step explanation:
five times a number minus two is ten .find the number
Answer:
12/5 or 2.4
Step-by-step explanation:
Form the equation:
5x - 2 = 10
^ ^ ^
^ ^ "is ten" which adds a equal sign to it
^ minus two
five times a number
Solve:
5x - 2 = 10
+2 +2
-----------------
5x = 12
---- ----
5 5
x = 12/5 or 2.4
Let the number be x
Then ATQ
5x - 2 = 10
5x = 10+2
x = 12/5
Must click thanks and mark brainliest
Evaluate
4a^2 x for a = − 2, x = −4
Answer:
4a^2 x for a = − 2, x = −4
Step-by-step explanation:
4a^2 x for a = − 2, x = −4
Round each of the following numbers to four significant figures and express the result in standard exponential notation: (a) 102.53070, (b) 656.980, (c) 0.008543210, (d) 0.000257870, (e) -0.0357202
Answer:
Kindly check explanation
Step-by-step explanation:
Rounding each number to 4 significant figures and expressing in standard notation :
(a) 102.53070,
Since the number starts with a non-zero, the 4 digits are counted from the left ;
102.53070 = 102.5 (4 significant figures) = 1.025 * 10^2
(b) 656.980,
Since the number starts with a non-zero, the 4 digits are counted from the left ; the value after the 4th significant value is greater than 5, it is rounded to 1 and added to the significant figure.
656.980 = 657.0 (4 significant figures) = 6.57 * 10^2
(c) 0.008543210,
Since number starts at 0 ; the first significant figure is the first non - zero digit ;
0.008543210 = 0.008543 (4 significant figures) = 8.543 * 10^-3
(d) 0.000257870,
Since number starts at 0 ; the first significant figure is the first non - zero digit ;
0.000257870 = 0.0002579 (4 significant figures) = 2.579 * 10^-4
(e) -0.0357202,
Since number starts at 0 ; the first significant figure is the first non - zero digit ;
-0.0357202 = - 0.03572 (4 significant figures) = - 3.572* 10^-2
A random sample of 64 students at a university showed an average age of 25 years and a sample standard deviation of 2 years. The 98% confidence interval for the true average age of all students in the university is
Answer:
24.4185<x<25.5815
Step-by-step explanation:
Given the following:
n = 64
mean x = 25
s = 2
z is the z score at 98% CI = 2.326
Get the Confidence Interval:
CI = x±z*s/√n
CI = 25±2.326*2/√64
CI = 25±2.326*2/8
CI = 25±0.5815
CI = (25-0.5815, 25+0.5815)
CI = (24.4185, 25.5815)
CI = 24.4185<x<25.5815
Hence the 98% confidence interval for the true average age of all students in the university is 24.4185<x<25.5815
29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction
Answer:
6 1/85
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
146/5÷34/7
Applying the fractions formula for division,
146/5*7/34=1022/170
Simplifying 1022/170, the answer is
6 1/85
whats the next two terms in order are p+q, p , p-q
Answer:
p - 2q and p - 3q
Step-by-step explanation:
A Series is given to us and we need to find the next two terms of the series . The given series to us is ,
[tex]\rm\implies Series = p+q , p , p - q [/tex]
Note that when we subtract the consecutive terms we get the common difference as "-q" .
[tex]\rm\implies Common\ Difference = p - (p + q )= p - p - q =\boxed{\rm q}[/tex]
Therefore the series is Arithmetic Series .
Arithmetic Series:- The series in which a common number is added to obtain the next term of series .
And here the Common difference is -q .
Fourth term :-
[tex]\rm\implies 4th \ term = p - q - q = \boxed{\blue{\rm p - 2q}}[/tex]
Fifth term :-
[tex]\rm\implies 4th \ term = p - 2q - q = \boxed{\blue{\rm p - 3q}}[/tex]
Therefore the next two terms are ( p - 2q) and ( p - 3q ) .
According to a study of political prisoners, the mean duration of imprisonment for prisoners with chronic post-traumatic stress disorder (PTSD) was months. Assuming that months, determine a % confidence interval for the mean duration of imprisonment, , of all political prisoners with chronic PTSD. Interpret your answer in words.
This question is incomplete, the complete question is;
According to a study of political prisoners, the mean duration of imprisonment for 33 prisoners with chronic post-traumatic stress disorder (PTSD) was 34.2 months. Assuming that σ = 40 months.
determine a 95% confidence interval for the mean duration of imprisonment, μ , of all political prisoners with chronic PTSD. Interpret your answer in words.
Answer:
⇒ ( 20.6, 47.8 )
Therefore, 95% confidence interval for the mean duration of imprisonment μ of all political prisoners with PTSD is between 20.6 months and 47.8 months.
Step-by-step explanation:
Given the data in the question;
sample size; n = 33
standard deviation σ = 40 months
x' = 34.2 months
Now, at 95% confidence interval;
we know that z-value of 95% confidence interval is 1.96
so we substitute into the formula below;
⇒ x' ± Z( σ/√n )
⇒ 34.2 ± 1.96( 40/√33 )
⇒ 34.2 ± 13.647
so
we have
( 34.2 - 13.647 ), ( 34.2 + 13.647 )
⇒ ( 20.6, 47.8 )
Therefore, 95% confidence interval for the mean duration of imprisonment μ of all political prisoners with PTSD is between 20.6 months and 47.8 months.
The quadratic equation [tex]x^2+3x+50 = 0[/tex] has roots r and s. Find a quadratic question whose roots are r^2 and s^2.
According to the question, our quadratic equation is :
\begin{gathered} \bf {x}^{2} - ( {r}^{2} + {s}^{2} )x + {r}^{2} {s}^{2} = 0 \\ \bf \implies \: {x}^{2} - ( - 91)x + {(rs)}^{2} = 0 \\ \bf \implies \: {x}^{2} + 91x + {(50)}^{2} = 0 \\ \bf \implies \: {x}^{2} + 91x + 2500 = 0\end{gathered}
x
2
−(r
2
+s
2
)x+r
2
s
2
=0
⟹x
2
−(−91)x+(rs)
2
=0
⟹x
2
+91x+(50)
2
=0
⟹x
2
+91x+2500=0
Which graph represents y = RootIndex 3 StartRoot x + 6 EndRoot minus 3? in a test plese help fast
Answer:
Graph (a)
Step-by-step explanation:
Given
[tex]y = \sqrt[3]{x+ 6} -3[/tex]
Required
The graph
First, calculate y, when x = 0
[tex]y = \sqrt[3]{0+ 6} -3[/tex]
[tex]y = \sqrt[3]{6} -3[/tex]
[tex]y = -1.183[/tex]
The above value of y implies that the graph is below the origin when x = 0. Hence, (c) and (d) are incorrect because they are above the origin
Also, only the first graph passes through point (0,-1.183). Hence, graph (a) is correct
Answer:
the answer is A
Step-by-step explanation:
A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 47 states. What is the probability that she selects the route of three specific capitals?
Answer:
1 / 97290
Step-by-step explanation:
The number of ways of selecting 3 specific route capitals from 47 states can be obtained thus :
Probability = required outcome / Total possible outcomes
Total possible outcomes = 47P3
Recall :
nPr = n! / (n-r)!
47P3 = 47! / (47-3)! = 47! / 44! = 97290
Hence, probability of selecting route if 3 specific capitals is = 1 / 97290
Riley wants to make 100ml of 25% saline but only has access to 12% and 38% saline mixtures. x= 12% y=38%
Answer:
x = 50
y = 50
Step-by-step explanation:
[tex]\begin{bmatrix}x+y=100\\ 0.12x+0.38y=25\end{bmatrix}[/tex]
.12(100-y) + .38y = 25
x = 50
y = 50
Ethan buys a video game on sale. If the video game usually costs $60, and it was on sale for 20% off, how much did Ethan pay? Round to the nearest whole dollar.
Ethan will pay $31.99 with the discount.
How? This is the answer because:
If 39.99 is 100%, and you are trying to find 20%...
1. you need to set it up as a ratio (of course, you do not need to do this, but it is easier for me to do it this way)
2. the ratio will look like this: 39.99/100% x/20%
3. all we need to do from here is to cross multiply!
4 39.99 x
---------- = ----------
100 20
-price is on the top and percent on the bottom
-you would now do 39.99 times 20
-then divide by 100
5. once you have 20% of 39.99, you need to subtract that answer from the total
6. 39.99 - 7.998 = 31.992 (you need to round to the nearest hundredth)
Hope this helps <3
How do I figure this question out
Answer:
Orthocenter would be in the middle of the shape.
Step-by-step explanation:
B.
The time it takes a customer service complaint to be settled at a small department store is normally distributed with a mean of 10 minutes and a standard deviation of 3 minutes. Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.
Answer:
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
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 10 minutes and a standard deviation of 3 minutes
This means that [tex]\mu = 10, \sigma = 3[/tex]
Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.
This is 1 subtracted by the p-value of Z when X = 15, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
Part 2: Pack It Up! 1.
Just by looking at the images, what would be your guess of how many fish food boxes can fit into the shipping box?
How did you determine that? There is no right or wrong answer
Answer:
Read below
Step-by-step explanation:
I would guess based on measurement because I would do the following.
3 1/4 x 3 1/4 = 10 9/16
10 9/16 x 3 = 31 11/16
Hope it helps c:
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data.
The weights of a sample of 100 Maine lobsters.
Answer:
Its quantitive cause its giving a number and quantity/quantitive is for numbers
Answer:
The data is quantitative (because it is asking for measurement or numbers).
Step-by-step explanation:
The second and third I'm not sure how to answer, however,
"A discrete function is a function with distinct and separate values. This means that the values of the functions are not connected with each other. For example, a discrete function can equal 1 or 2 but not 1.5. A continuous function, on the other hand, is a function that can take on any number within a certain interval. For example, if at one point, a continuous function is 1 and 2 at another point, then this continuous function will definitely be 1.5 at yet another point. A continuous function always connects all its values while a discrete function has separations. Now, let's look at these two types of functions in detail."
Hope this helps :)
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 10 in-state applicants results in a SAT scoring mean of 1173 with a standard deviation of 38. A random sample of 15 out-of-state applicants results in a SAT scoring mean of 1076 with a standard deviation of 57. Using this data, find the 95% confidence interval for the true mean difference between the scoring mean for in-state applicants and out-of-state applicants. Assume that the population variances are not equal and that the two populations are normally distributed. Find the margin of error to be used in constructing the confidence interva.
Answer:
jebtucky
Step-by-step explanation:
yes yee yee yee eyetegevw
Complete the sentence that explains why Write an Equation is a reasonable strategy for solving this problem. Because the answer may be _________ the numbers in the problem.
Answer:
4 e
Step-by-step explanation:
dz6dxrx xrrx6 xz33x4xr4x xrx
An item costs $20 and sells for $50.
a. Find the rate of markup based on cost.
b. Find the rate of markup based on selling price.
Step-by-step explanation:
50-20=30 rate of markup
Angles tell you how far something has turned from a fix point. The bigger the angle, the bigger the turn. Angles are measured in degrees. Name the four turn
a marathon is a race that is 46,145 is a yards long. round to the nearest thousand
Answer:
46,000 yards
Step-by-step explanation:
if in the hundreds place the number is 0-499 round down
if it's 500-999 round up
Find the perimeter: a polygon with sides 2.1 cm, 2.1 cm, 1 cm, 3.3 cm, and 1 cm
The perimeter = _______ cm
A.8.3
B.10.7
C.7.7
D.9.5
Hello!
P = 2,1cm + 2,1cm + 1cm + 3,3cm + 1cm => P = 4,2cm + 1cm + 3,3cm + 1cm => P = 5,2cm + 3,3cm + 1cm => P = 8,5cm + 1cm => P = 9,5cm
Answer: D. 9,5cm
Good luck! :)
Answer:
9.5cm
Step-by-step explanation:
To find the perimeter, add up all the sides
2.1 cm+ 2.1 cm+ 1 cm+ 3.3 cm+ 1 cm
9.5cm
