Answer:
-15x²y²+3xy
Step-by-step explanation:
((−3x)(y))(5xy−1)
=((−3x)(y))(5xy+−1)
=((−3x)(y))(5xy)+((−3x)(y))(−1)
=−15x²y²+3xy
A builder is using the scale drawing below to build a house. If the owner decides to increase the living room dimensions by 25%,what is the new length and width of the living room floor? (1cm=5 feet)
Answer:
Step-by-step explanation:
Building scale is 1cm=5feet
This means 1 cm is equivalent to 5 feet
If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;
25/100 =0.25.
0.25 x the actual dimension
0.25 x 5 = 1.25
1.25 + actual dimension
1.25 + 5 = 6.25.
This means the scale of the room will be on 1cm =6.25feet.
If the length of the room is A, the width is B;
The new length will then be 1.25 x A =1.25A
1.25A + A
The length of the new room is 1.25A +A
While the width of the new room is 1.25B +B
During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?
Answer:
11.725%
Step-by-step explanation:
Given that :
True value = 0.904 seconds
Measured time = 1.010 seconds
Experimental error :
(|measured value - True value | / true value) * 100%
(|1.010 - 0.904| ÷ 0.904) * 100%
= 0.106 / 0.904 * 100%
= 0.1172566 * 100%
= 11.725%
Answer:
11.725%
Step-by-step explanation:
the amount a basketball coach spends at a sporting good store depends on the number of basketballs the coach buys. the situation is represented by the function rule a = 14b
Answer: 0,16,32,48,64
Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16
HELPPPPPPPPPPPPPPPPPPpppp
Answer:
Step-by-step explanation:
Part A:
Add all the mass together so 1,105.5 grams
Ca anyone answer this??
Answer:*
*Can
Step-by-step explanation:
Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4
Answer:
Convert Equation 1 to slope-intercept form.
y
=
−
x
+
4
The two equations have the same slope,
m
=
−
1
, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.
graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}
Step-by-step explanation:
3
Simplify the expression below:
20 – 10y – 7y + 9
Answer:
y = 1.705882353
Step-by-step explanation:Combine like terms: 20 + 9 = 29
29 + -10y + -7y = 0
Combine like terms: -10y + -7y = -17y
29 + -17y = 0
Solving
29 + -17y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-29' to each side of the equation.
29 + -29 + -17y = 0 + -29
Combine like terms: 29 + -29 = 0
0 + -17y = 0 + -29
-17y = 0 + -29
Combine like terms: 0 + -29 = -29
-17y = -29
Divide each side by '-17'.
y = 1.705882353
Simplifying
y = 1.705882353
Find all complex solutions of 7x^2-7x+3=0
Answer:
The complex solutions are
[tex]x = (\frac{7-\sqrt{35} i }{42} , ) x = \frac{7 + \sqrt{35} i }{42})[/tex]
Step-by-step explanation:
Step(i):-
Given equation 7 x² - 7 x +3=0
[tex]x = (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} , \frac{-b +\sqrt{b^{2}-4ac } }{2ac})[/tex]
Given standard equation
a x² +b x +c =0
a = 7 , b= -7 and c=3
Step(ii):-
[tex]x = (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} , \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})[/tex]
[tex]x = (\frac{7-\sqrt{(49-84 } }{42} , \frac{7 +\sqrt{(49-84 } }{42})[/tex]
[tex]x = (\frac{7-\sqrt{35i^{2} } }{42} , \frac{7 + \sqrt{35i^{2} } }{42})[/tex]
[tex]x = (\frac{7-\sqrt{35} i }{42} , \frac{7 + \sqrt{35} i }{42})[/tex]
Convert 46ft to yard and ft
Answer:
46 ft to yd conversion. A foot is a unit of length equal to exactly 12 inches or 0.3048 meters.
...
Convert 46 Feet to Yards.
ft yd
46.00 15.333
46.01 15.337
46.02 15.34
46.03 15.343
ft yd
46.00 15.333
46.01 15.337
46.02 15.34
46.03 15.343
46.04 15.347
46.05 15.35
46.06 15.353
46.07 15.357
46.08 15.36
46.09 15.363
46.10 15.367
46.11 15.37
46.12 15.373
46.13 15.377
46.14 15.38
46.15 15.383
46.16 15.387
46.17 15.39
46.18 15.393
46.19 15.397
46.20 15.4
46.21 15.403
46.22 15.407
46.23 15.41
46.24 15.413
ft yd
46.25 15.417
46.26 15.42
46.27 15.423
46.28 15.427
46.29 15.43
46.30 15.433
46.31 15.437
46.32 15.44
46.33 15.443
46.34 15.447
46.35 15.45
46.36 15.453
46.37 15.457
46.38 15.46
46.39 15.463
46.40 15.467
46.41 15.47
46.42 15.473
46.43 15.477
46.44 15.48
46.45 15.483
46.46 15.487
46.47 15.49
46.48 15.493
46.49 15.497
ft yd
46.50 15.5
46.51 15.503
46.52 15.507
46.53 15.51
46.54 15.513
46.55 15.517
46.56 15.52
46.57 15.523
46.58 15.527
46.59 15.53
46.60 15.533
46.61 15.537
46.62 15.54
46.63 15.543
46.64 15.547
46.65 15.55
46.66 15.553
46.67 15.557
46.68 15.56
46.69 15.563
46.70 15.567
46.71 15.57
46.72 15.573
46.73 15.577
46.74 15.58
ft yd
46.75 15.583
46.76 15.587
46.77 15.59
46.78 15.593
46.79 15.597
46.80 15.6
46.81 15.603
46.82 15.607
46.83 15.61
46.84 15.613
46.85 15.617
46.86 15.62
46.87 15.623
46.88 15.627
46.89 15.63
46.90 15.633
46.91 15.637
46.92 15.64
46.93 15.643
46.94 15.647
46.95 15.65
46.96 15.653
46.97 15.657
46.98 15.66
46.99 15.663
Step-by-step explanation:
Hope this helps <3
A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Your challenge is to create a cylindrical can that minimizes the cost of materials but must hold 100 cubic inches. The top and bottom of the can cost $0.014 per square inch, while the sides cost only $0.007 per square inch. Show how you did it too?
Answer:
[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]
[tex]Cost = \$1.05[/tex]
Step-by-step explanation:
Given
[tex]Volume = 100in^3[/tex]
[tex]Cost =\$0.014[/tex] -- Top and Bottom
[tex]Cost =\$0.007[/tex] --- Sides
Required
What dimension of the cylinder minimizes the cost
The volume (V) of a cylinder is:
[tex]V = \pi r^2h[/tex]
Substitute 100 for V
[tex]100 = \pi r^2h[/tex]
Make h the subject
[tex]h = \frac{100 }{\pi r^2}[/tex]
The surface area (A) of a cylinder is:
[tex]A = 2\pi r^2 + 2\pi rh[/tex]
Where
[tex]Top\ and\ bottom = 2\pi r^2[/tex]
[tex]Sides = 2\pi rh[/tex]
So, the cost of the surface area is:
[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]
[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]
[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]
Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]
[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]
[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]
[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]
[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]
Open bracket
[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]
[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]
To minimize, we differentiate C w.r.t r and set the result to 0
[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]
Set to 0
[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]
Collect Like Terms
[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]
Cross Multiply
[tex]0.056\pi r *r^2= 1.4[/tex]
[tex]0.056\pi r^3= 1.4[/tex]
Make [tex]r^3[/tex] the subject
[tex]r^3= \frac{1.4}{0.056\pi }[/tex]
[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]
[tex]r^3= \frac{1.4}{0.17584}[/tex]
[tex]r^3= 7.96178343949[/tex]
Take cube roots of both sides
[tex]r= \sqrt[3]{7.96178343949}[/tex]
[tex]r= 1.997[/tex]
Recall that:
[tex]h = \frac{100 }{\pi r^2}[/tex]
[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]
[tex]h = \frac{100 }{12.52}[/tex]
[tex]h = 7.987[/tex]
Hence, the dimensions that minimizes the cost are:
[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]
To calculate the cost, we have:
[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]
[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]
[tex]Cost = \$1.05[/tex]
Need help ASAP
Will make you brainlist
Answer:
y=1.3x-3
or
y=4/3x-3
Step-by-step explanation:
1.3 is the slope (the change in between points)
-3 is the y intercept (the point on the y-axis)
Which statements are true regarding the two figures ? Select three options.
The order of rotational symmetry for the seven- pointed star is 7
The order of rotational symmetry for the five-pointed star is 3
The smallest angle of rotational symmetry for the seven - pointed star rounded to the nearest tenth is 51.4
The smallest angle of rotational symmetry for the five pointed star is 72 degrees
The five-pointed star has a smaller angle of rotational symmetry than the seven-pointed star .
Answer:
im pretty sure 1 and 5 are correct i dont know the 3rd one though
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
15.3+1h=1.3−1h solve for h plese solve the whole thing not just the answer
Answer:
0.1 (153+10h)
Step-by-step explanation:
factor out 0.1 of 15.3 +10h
Answer:
15.3+1h=1.3−1h
15.3-1.3=-1h-1h
14=-2h
h=14/-2=-7
Find the values of x and y
Answer:
2x-10=x+80
2x-x=80+10
X=90
3y-4=y+20
3y-y=20+4
2y=24
Y=24/2
Y=12
Im not sure man, but i hope it helps, good luck :)
Is a credit of $55 negative or positive ?
Answer:
positive
Step-by-step explanation:
Answer:
Answer: Positive
Step-by-step explanation:
Quadrilateral ABCD was translated 4 units to the left and 2 units down to create Quadrilateral A'B'C'D', Which rule describes this transformation?
(xy) -> (x + 4. y + 2)
(x,y) -> (x - 4. y - 2)
(x,y) -> (x - 4y + 2)
(x,y) --> (x - 2. y + 4)
Answer:
(x,y) -> (x - 4. y - 2)
A lie detector test is accurate 70% of the time, meaning that for 30% of the times a suspect is telling the truth, the test will conclude that the suspect is lying, and for 30% of the times a suspect is lying, the test will conclude that he or she is telling the truth. A police detective arrested a suspect who is one of only four possible perpetrators of a jewel theft. If the test result is positive (i.e., concludes that the subject is guilty), what is the probability that the arrested suspect is actually guilty
Answer:
0.475
Step-by-step explanation:
Given that :
We are to calculate the true positive :
True POSITIVE (TP) = 70% = 0.7
False POSITIVE (CP = 30% = 0.3
True Negative = 30% = 0.3
Number arrested = 4
(1/n * TP) / [(1/n * TP) + (n-1 /n * FP)
= (1/4 * 0.7) / [(1/4 * 0.7) + (3/4 * 0.3)
= 0.175 / (0.175 + 0.225)
= 0.175 / 0.4
= 0.475
The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?
Given:
The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]
Length of the rectangle RSTU = [tex]4x+5[/tex]
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
[tex]36x^2+25x-25[/tex]
Splitting the middle term, we get
[tex]=36x^2+45x-20x-25[/tex]
[tex]=9x(4x+5)-5(4x+5)[/tex]
[tex]=(4x+5)(9x-5)[/tex]
We know that, the area of a rectangle is
[tex]Area=Length \times width[/tex]
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
Olive weights are classified according to a unique set of adjectives implying great size. For example, the mean weight of olives classified as "Colossal" is 7.7 grams. Suppose a particular company’s crop of "Colossal" olives is approximately Normally distributed with a mean of 7.7 grams and a standard deviation of 0.2 grams. Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?
a. 0.0970
b. 0.9953
c. 0.0668
d. 0.0047
e. 0.1932
Answer:
d. 0.0047
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]
Sample of 3:
[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]
Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?
This is 1 subtracted by the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]
[tex]Z = 2.6[/tex]
[tex]Z = 2.6[/tex] has a pvalue of 0.9953
1 - 0.9953 = 0.0047
The probability is given by option d.
You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.
The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by
Option d : 0.0047
How to find the z score for a sample taken from a normal distribution holding random variate?Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:
[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]
where [tex]\overline{x}[/tex] is mean of the sample
s is the standard deviation of the sample,
and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
Using the data given to find the intended probabilityLet the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)
Then, we have:
[tex]X \sim N(7.7, 0.2)[/tex]
where
[tex]\mu = 7.7, \sigma = 0.2[/tex]
Thus, we have:
[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]
Using the given facts, we get the needed probability as:
[tex]P( X> 8)[/tex] sample size n = 3)
Then, using the z score, we get):
[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]
Thus,
The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by
Option d : 0.0047
Learn more about standard normal distribution here:
https://brainly.com/question/14989264
Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X
Answer:
It will read the same at F = -40.
Step-by-step explanation:
The relation between fahrenheit and celsius is given by the following equation:
[tex]C = \frac{5(F-32)}{9}[/tex]
At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
This is F for C = F. So
[tex]C = \frac{5(F-32)}{9}[/tex]
[tex]F = \frac{5(F-32)}{9}[/tex]
[tex]9F = 5F - 160[/tex]
[tex]4F = -160[/tex]
[tex]F = -\frac{160}{4}[/tex]
[tex]F = -40[/tex]
It will read the same at F = -40.
Help please ASAP giving brainly and giving 64 points please
the answer is three i think
x = 3 because the only equation to get five would be 3. 2 plus 3 is 5. 3 plus 2 is also five. So three is the answer.
tile model
X 1 1 1 = 1 1 1 1 1
X = 3
Answer:
for the first one x = 4
for the second one x = -8
Step-by-step explanation:
x − 7 + 7= −3 + 7 so x = 4
x + 3 − 3= −5 − 3 so x = -8
William spent $132.75 on books, including the shipping fee , that he orderd from an online company. each book cost $4.75. how many books did william buy.
A.33 B.32 C.15 D.34
Answer:
easy...
132.75total cost
4.75 for each book
Step-by-step explanation:
not a) it would be far to large
not b) again to large
maybe c) not to big but still small
not d) to big yet again
id assume c? im not to smart tho
I need a answer Plss sombody help me
Answer:
add 4 and 2
because you always have to simplify numbers that are inside the parentheses.
which number is composite? (9,5,11,2)
Answer: 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3 x 3 = 9 :)
Let p: A number is greater than 25.
Let q: A number is less than 35.
If p1 is true, then what could the number be? Select two options.
24
28
32
36
40
Answer:
28 and 32 or B And C
Step-by-step explanation:
The two trapezoids below are similar. What is the length of EF
Answer:
answer is 6
Step-by-step explanation:
i know answer is 2 weeks late
Pete dad usually deposits $25 into his bank account every week.for the next weeks he wants to deposit more than the usually $25 and he wants the extra amount deposited to be the same each week.Which inequality and solution show how much more he can deposit each week and keep the total of his deposit above $500 for those 8 weeks? Yo
Answer:
The answer is "8(25+x)>500;x>37.50".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50[/tex]
That's why above given choice is correct.
10. Put the numbers into least to greatest order: -33/5, 3 1/3, 3.3, -3.5
Answer:
Answer:
Order from Least to Greatest
-33/5 < -3.5 < 3.3 < 3 1/3
Step-by-step explanation:
find the value of x in the equation below.
x+1=6