Answer:
x = 8mStep-by-step explanation:
Let the two triangles be represented as A and B.
Given two triangles with sides 12m 20m 16m and 6m 10m x.
Lengths of sides of triangle A = 12m, 20m, 16m
Lengths of sides of triangle B = 6m, 10m, x
It can be seen that each length of triangle A are twice that of B i.e triangle B dilated by a factor of 1/2.
A = 2B
Considering the 16m length in triangle A and comparing it with the 'x'm length in triangle B, we can get the unknown length x as shown;
16 = 2x
x = 16/2
x = 8m
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in hour?
o6mi
o13mi
o3mi
24 mi
Answer:
13 miles
Step-by-step explanation
27 miles in 2 hours
x miles in 1 hours
2x=27
x=13.5
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 66 types of drinks to choose from, 55 types of sandwiches, and 44 types of chips. How many different value meal packages are possible?
Answer:
159,720
Step-by-step explanation:
Calculation of how many different value meal packages are possible at Ron's Subs :
The meal package at Ron's Subs are:
Drink 66
Sandwich 55
Bag of chips 44
Since we are looking for the how many different value meal packages are possible that means we have to multiply all the three value meal package with each other.
Hence,
Drink 66 ×Sandwich 55 ×Bag of chips 44
=159,720
Therefore 159,720 is the number of different value meal packages that are possible at Ron's Subs
What is the solution to the equation below? Round your answer to two
decimal places.
In x = 0.2
A. x= 1.22
B. X= 1.58
C. x = -1.61
D. X = -0.70
Answer:
X=1.22
Step-by-step explanation:
I just got the question wrong and it gave me the right answer
2.In a large university 13.5% of the students take economics, 24.7% of the students take statistics and 11.7% take economics and statistics. The probability that a randomly selected student didn’t take economics but did take statistics is close toالقارئ الشامل (2/2 نقط
Answer:
The probability that a randomly selected student didn’t take economics but did take statistics is 13%.
Step-by-step explanation:
Let the event that a student offers Economics be E.
The event that a student does NOT offer Economics is E'.
Let the event that a student offers Statistics be S.
The event that a student does NOT offer Statistics be S'.
P(E) = 13.5% = 0.135
P(S) = 24.7% = 0.247
P(E n S) = 11.7% = 0.117
Find the probability that a randomly selected student didn’t take economics but did take statistics
This probability = P(E' n S)
Since E and E' are mutually exclusive events,
P(S) = P(E' n S) + P(E n S)
P(E' n S) = P(S) - P(E n S)
P(E' n S) = 0.247 - 0.117 = 0.13 = 13%
Hope this Helps!!!
Each have four possible answers left parenthesis a,b,c,d right parenthesis, one of which is correct. Assume that you guess the answers to three such questions.
a. Use the multiplication rule to find P(CWC), where C denotes a correct answer and W denotes a wrong answer.
b. Beginning with CWC, make a complete list of the different possible arrangements of two correct answers and one wrong answer, then find the probability for each entry in the list.P(CWC)minussee above P(WCC)equals? 0.046875 P(CCW)equals? 0.046875 (Type exact answers.)
c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses aremade?
Answer:
a. P(CWC)=0.046875
b. P(WCC)=0.046875
P(CCW)=0.046875
c. P=0.140625
Step-by-step explanation:
By the rule of multiplication there are 64 forms to answer three questions. This is calculated as:
4 _ * 4 * 4 = 64
1st question 2nd question 3rd question
Because there are 4 options for every question. At the same way, from that 64 options, 3 are CWC and it is calculated as:
1 _ * 3 * 1 = 3
1st question 2nd question 3rd question
Because there is just one answer that is correct for the first question, there are 3 answers wrong for the second question and there are 1 answer correct for the third question.
So, the probability P(CWC) is equal to:
[tex]P(CWC)=\frac{3}{64}=0.046875[/tex]
Then, the complete list of the different possible arrangements of two correct answers and one wrong answer are: CWC, WCC and CCW
Therefore, the probabilities P(WCC) and P(CCW) are calculated as:
[tex]P(WCC)=\frac{3*1*1}{64}=\frac{3}{4}= 0.046875[/tex]
[tex]P(CCW)=\frac{1*1*3}{64}=\frac{3}{4}= 0.046875[/tex]
Finally, the probability of getting exactly two correct answers is the sum of the probabilities calculated before.
[tex]P=P(CWC)+P(WCC)+P(CCW)\\P=0.046875+0.046875+0.046875\\P=0.140625[/tex]
If f(x) = 3x + 10 and g(x) = 2x – 4, find (f – g)(x).
Answer:
D
Step-by-step explanation:
T(x)=70(.80)*+20 where x is the time in minutes and the T is the temperature in degree celsius . What is the initial temperature of the coffee?
Answer:
The initial temperature of the coffee was 90°C.
Step-by-step explanation:
The function representing the temperature of the coffee after x minutes is:
[tex]T(x)=70\cdot(0.80)^{x}+20[/tex]
T is the temperature in degree Celsius.
The initial temperature of the coffee will be at x = 0.
Compute the value of T (x) at x = 0 as follows:
[tex]T(x)=70\cdot(0.80)^{x}+20[/tex]
[tex]T(0)=70\cdot (0.80)^{0}+20[/tex]
[tex]=70\times 1+20\\=70+20\\=90[/tex]
Thus, the initial temperature of the coffee was 90°C.
The geometric sequence ; is defined by the formula: a i a 1 =10 a i =a i-1 * 9/10 Find the sum of the first 75 terms in the sequence .
Question:
The geometric sequence ; is defined by the formula: [tex]a_1 =10[/tex] ; [tex]a_i =a_{i-1} * \frac{9}{10}[/tex] Find the sum of the first 75 terms in the sequence .
Answer:
[tex]S_{75} = 99.963001151[/tex]
Step-by-step explanation:
Given
[tex]a_1 =10[/tex]
[tex]a_i =a_{i-1} * \frac{9}{10}[/tex]
Required
Find the sum of 75 terms
Given that the sequence is geometric;
First, the common ratio has to be calculated;
The common ratio is defined as follows;
[tex]r = \frac{a_{i}}{a_{i-1}}[/tex]
Let [tex]i = 2[/tex]
[tex]r = \frac{a_{2}}{a_{2-1}}[/tex]
[tex]r = \frac{a_{2}}{a_{1}}[/tex]
So,
[tex]a_i =a_{i-1} * \frac{9}{10}[/tex] becomes
[tex]a_2 =a_{2-1} * \frac{9}{10}[/tex]
[tex]a_2 =a_{1} * \frac{9}{10}[/tex]
Divide through by [tex]a_1[/tex]
[tex]\frac{a_2}{a_1} =\frac{a_{1} * \frac{9}{10}}{a_1}[/tex]
[tex]\frac{a_2}{a_1} = \frac{9}{10}[/tex]
Recall that [tex]r = \frac{a_{2}}{a_{1}}[/tex]
So, [tex]r = \frac{9}{10}[/tex]
Given that r < 1;
The sum of n terms is calculated as thus;
[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]
To calculate the sum of the first 75 terms, we have the following parameters
[tex]n = 75\\a = a_1 = 10\\r = \frac{9}{10} = 0.9[/tex]
[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex] becomes
[tex]S_{75} = \frac{10(1-0.9^{75})}{1-0.9}[/tex]
[tex]S_{75} = \frac{10(1-0.9^{75})}{0.1}[/tex]
[tex]S_{75} = 100(1-0.9^{75})[/tex]
[tex]S_{75} = 100(1-0.00036998848)[/tex]
[tex]S_{75} = 100(0.99963001151)[/tex]
[tex]S_{75} = 99.963001151[/tex]
Everyday, Jason has a 14-mile round-trip drive to work. He then has to drive his truck on a 296-mile delivery route 5 days a week. How many miles does he drive each day?
Answer:
73.2 miles i am not so sure
Step-by-step explanation:
(80 POINTS) What rule describes a dilation with a scale factor of ½ and the center of dilation at the origin?
Answer:
C
Step-by-step explanation:
(x, y) -> (1/2x, 1/2y)
When you dilate a side, point, etc, you are multiplying the original dimension by the scale factor. That is represented in option C: the original x and y are multiplied by the scale factor, 1/2! Hope that helps! :)
Answer:
C. (x,y) → (1/2x,1/2y)
Step-by-step explanation:
Dialation means to multiply each coordinate by scale factor and in this case it's 1/2
For the function, f(x) = -3x + 5.
If f(x) = -1, what is the value of x?
Answer:
x=2
Step-by-step explanation:
f(x) = -3x + 5.
f(x) =-1
-1 = -3x+5
Subtract 5 from each side
-1 -5 = -3x+5-5
-6 = -3x
Divide each side by -3
-6/-3 = -3x/-3
2 =x
Suppose Blue Cab Company charges $2.85 a ride up to 0.1 miles and $0.30 for each additional tenth of a mile. If the mean distance a passenger wants to go is 5.3 miles with a standard deviation of 1.4 miles, what is the standard deviation of the fare passengers pay
Answer:
$4.20
Step-by-step explanation:
Calculation for the standard deviation of the fare passengers pay of Blue Cab Company:
T = Total amount of the cab fare
Formula for Standard deviation of T will be:
T = σa+bX= bσX.
To convert the rate to dollars per mile from dollars per tenth of a mile, it will be:
b= 3
Hence,
Standard deviation of T is :
3.00(1.4) = $4.20.
What is the square root of -1 ?
Answer:
i
Step-by-step explanation:
According to the Mortgage Bankers Association, 21% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of seven mortgages was selected. What is the standard deviation of this distribution
Answer:
The standard deviation for the number of delinquent mortgages in the sample is 1.08.
Step-by-step explanation:
For each mortgage, there are only two possible outcomes. Either it is delinquent, or it is not. The probability of a mortgage being delinquent is independent of other mortgages. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
21% of U.S. mortgages were delinquent last year.
This means that [tex]p = 0.21[/tex]
A random sample of seven mortgages was selected.
This means that [tex]n = 7[/tex]
What is the standard deviation of this distribution
[tex]\sqrt{V(X)} = \sqrt{7*0.21*0.79} = 1.08[/tex]
The standard deviation for the number of delinquent mortgages in the sample is 1.08.
Which of the following graphs represents the equation y=3x+2?
Answer:graph C is the answer because if you put the both values from the graph it satisfies the equation
Answer:
Graph C
Step-by-step explanation:
The given equation is in the form y=mx+b
This is slope-intercept form.
This is where m represents the slope, and b represents the y-intercept.
Therefore, the slope is 3 and the y-intercept is 2.
Let's first name all the equations with a y-intercept of 2.
That would be B and C.
Now, let's find the equation with a slope of 3.
Let's find the slope for B.
The formula for slope is: y1-y2/x1-x2
A point is: (x coordinate, y coordinate)
In the formula,
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
This said, we can plug our points in.
6-2/2-0
4/2
2
The slope for Graph B is 2, so it is incorrect.
Let's find the slope for Graph C.
2-(-1)/0-(-1)
2+1/0+1
3/1
3
The slope for Graph C is 3, and it has a y-intercept of 2, so Graph C is the correct choice.
⎧
f(1)=−8
f(n)=f(n−1)−3
Find an explicit formula for f(n)f(n)f, left parenthesis, n, right parenthesis
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Answer:
72+9(n−1)
Step-by-step explanation:
I hope this helps, Its from khan <3
The function V(r) = four-thirds pi r cubed can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
Answer:
V(r) is the volume of basketball when the radius is r.
Answer:
B. the volume of the basketball when the radius is r
Step-by-step explanation:
An object travels along a horizontal path at a constant rate.the object travels 1/20 of the length of the path in 3/4 second.at that rate,how many seconds does it take the object to travel the entire length of the path?
Answer:
The onject 1/8 of the length of the path 3/4 in second.
Using the ratio and proportion to find the total time does it take the object to travel the entire length of the path as following
Length:time
X:(total time )
Total time x.(3/4)/(1/8x)=(3/4)/(1/8) = 6 seconds
A government agency has 6000 employees. As an alternative to the traditional five-day work week, employees were asked whether they preferred a four-day work week (10 hours per day) or flexible hours. The accompanying segmented bar chart is based on the data collected. Which of the following statements is true about work week preferences and age category? A. Preferences appear to be independent of age. B. The distribution of preferences is the same across different age groups. C. A greater percentage of employees who prefer flex hors are in the over 45 age category compared to those who prefer 4-day work week. D. A greater percentage of employees who prefer a 4-day work week are in the over 45 age category compared to those who prefer flax hours.
Complete Question
The complete question is shown on the first uploaded image
Answer:
Option D is the correct answer
Step-by-step explanation:
Now looking at the bar chart we see that a greater number of employee over the age of 45 preferred the 4-day work week compared to the number of employee between 30- 45 who preferred to have a flexible work hour and employee below 30 who' s preference are the same for both type of work hours
The iron cube of side 42 com has a hole of diameter 14cm
drilled out. Calculate the volume of iron in the cube
and the total Surface area
of the Cube
Answer:
Step-by-step explanation:
Total surface of the cube = 6a²
= 6 * 42 * 42
= 10584 cm²
Hole that is drilled out, will make a cylinder shape in the middle of the cube
Volume of iron in the cube = Volume of cube - volume of cylinder
Volume of cube = a³
= 42 * 42 * 42
= 74088 cm³
Cylinder:
r = 14/2 = 7 cm
h = sideof the cube = 42 cm
Volume = πr²h
[tex]=\frac{22}{7}*7*7*42\\\\=22*7*7*6[/tex]
= 6468 cm³
Volume of iron in the cube = Volume of cube - volume of cylinder
= 74088 - 6468
= 67620 cm³
Please answer this correctly
Answer:
the second oneStep-by-step explanation:
so much for bein a college student.
El precio de un ordenador portátil ha aumentado un 25% y posteriormente fue rebajado un cierto porcentaje.Calcule que porcentaje de descuento habría que aplicar para que quede al precio original de antes del aumento. Porfa responder!!!
Answer:
Se requiere un 20 por ciento de descuento.
Step-by-step explanation:
(This exercise has been presented in Spanish and for that reason explanation will be held in the same language)
Sea [tex]p_{o}[/tex] el precio original del computador portatil, el nuevo precio es:
[tex]p_{1} =\left(\frac{100\,\% + 25\,\%}{100\,\%} \right)\cdot p_{o}[/tex]
[tex]p_{1} = 1.25\cdot p_{o}[/tex]
Si [tex]p_{2} = p_{o}[/tex], entonces el porcentaje requerido para recuperar el precio original es:
[tex]r = \left(1-\frac{p_{2}}{p_{1}} \right)\times 100\,\%[/tex]
[tex]r = \left(1-\frac{p_{o}}{1.25\cdot p_{o}} \right)\times 100\,\%[/tex]
[tex]r = \left(1-\frac{1}{1.25} \right)\times 100\,\%[/tex]
[tex]r = 20\,\%[/tex]
Se requiere un 20 por ciento de descuento.
Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find the number
Answer:
4(x - 1) = 6(x + 3)
x = -11
Step-by-step explanation:
x represents “the number” so we would substitute this with a variable.
(I hope this helps! Have a great day AND STAN BTS)
What is the final amount if 931 is decreased by 1% followed by a 1% increase?
Give your answer rounded to 2 DP.
Answer:
930.91
Step-by-step explanation:
931 x 99% = 921.69
921.69 x 101% = 930.9069
Answer:
930.91
Step-by-step explanation:
931*99%=921.69
921.69*101=930.91
Provide an appropriate response. A 28-year-old man pays $94 for a one-year life insurance policy with coverage of $120,000. If the probability that he will live through the year is 0.9991, what is the expected value for the insurance policy
Answer:
$ 14.08
Step-by-step explanation:
We have that the policy costs $ 94 and with life insurance with coverage of $ 120,000, to calculate the expected value, we must subtract the value of that life insurance multiplied with the probability of dying (complement of the probability of living) and the policy value multiplied by the probability of staying alive) like this:
120000 * (1 - 0.9991) - 94 * 0.9991 = 14.0846
Which means that the expected value of the policy is $ 14.08
17)Let f(x) = -2x + 5 and g(x) = 9x2 + 4. Find f(8) + g(8) . A)565 B)569 C)564 D)560
Answer:
answer B [tex]\boxed{ \ 569 \ }\\[/tex]
Step-by-step explanation:
f(8)=-2*8+5=-11
g(8)=9*8*8+4=580
f(8)+g(8)= -11+580=569
PLZ help I will mark as brainliest
Decode the addition or subtraction problem (Change asterisks to digits, to make the operation correct.) 6*5* − *8*4=2856
Answer:
6750 - 3894 = 2856
Step-by-step explanation:
You have to make use of the arithmetic facts you know.
The least-significant asterisk must be 0, because the sum of 4 and 6 is 10.
The 10s asterisk must be 9,so that the sum 5 + 9 + 1 has a least-significant digit of 5.
The 100s asterisk must be 7, because that is the least-significant digit of the sum 8 + 8 + 1 = 17.
The 1000s asterisk must be 3, so that 2 + 3 + 1 = 6.
(The "1" in each of these sums is the carry from the sum of the digits with the next lower place value.)
So, the subtraction problem is ...
6750 - 3894 = 2856
_____
Comment on the solution method
For the most part, we worked this as an addition problem. The sum of the last two numbers must be equal to the first: 6570 = 3894 +2856. For some of us, addition facts are easier to work with than subtraction facts. The carry/borrow can be less confusing that way.
y= -x + 1/2+1
- 3x+y=6
A science class has 9 girls and l boy in the seventh grade and 3 girls and 9 boys in the eighth grade. The teacher randomly selects a seventh grader and an
elghth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.
m
Answer:
boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys
girls = 3 (eight grade) + 9 ( seventh grade) = 12
probability = 22÷ 2
= 1/11
What three-digit number with units digit 2 and hundreds digit 4 is divisible by 9?
Answer:
Dear user,
Answer to your query is provided below
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.
Step-by-step explanation:
Here , It is given that the number is three digit in which units digit is 2 and hundreds digit is 4.
As per rule, the sum of its digits should've divisible by 9. So, Let the unknown digit be X .
Therefore, 2+X+4 =9
This implies, X = 9-2-4 = 3
So, the three digit number will be 432.
Verify - 432/9 = 48
Hence proved