Hence the area of the second rhombus is 45 square meters
The area of a rhombus is expressed as
A = base * height
For the rhombus with an area of 5 square meters and a side length of 3 meters
Height = Area/length
Height = 5/3 metres
Since the length of a similar rhombus is 9meters, the scale factor will be expressed as;
k = ratio of the lengths = 9/3
k = 3
Height of the second rhombus = 3 * height of the first rhombus
Height of the second rhombus = 3 * 5/3
Height of the second rhombus = 5 meters
Area of the second rhombus = length * height
Area of the second rhombus = 5 * 9
Area of the second rhombus = 45 square meters
Hence the area of the second rhombus is 45 square meters
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The correct option is option B;
(B) 45 square meters
The known parameters in the question are;
The area of the rhombus, A₁ = 5 m²
The length of one of the sides of the rhombus, a = 3 m
The length of a side in a similar rhombus, b = 9 m
The unknown parameter;
The area of the second rhombus
Strategy or method;
We have that two shapes are similar if their corresponding sides are proportional
From the above statement we get that the ratio of the areas of the two shapes is equal to the square of the ratio of the lengths of the corresponding sides of the two shapes of follows;
[tex]\begin{array}{ccc}Length \ Ratio&&Area \ Ratio\\\dfrac{a}{b} &&\left (\dfrac{a}{b} \right)^2 \\&&\end{array}[/tex]
Let the area of the second rhombus be A₂, we get;
[tex]Area \ ratio = \dfrac{A_1}{A_2} = \left( \dfrac{a}{b} \right)^2[/tex]
Where;
a = 3 m, b = 9 m, and A₁ = 5 m², we get;
[tex]Area \ ratio = \dfrac{5 \ m^2}{A_2} = \left( \dfrac{3 \, m}{9 \, m} \right)^2 = \dfrac{1}{9}[/tex]
Therefore;
9 × 5 m² = A₂ × 1
A₂ = 45 m²
The area of the second rhombus, A₂ = 5 m².
Learn more about scale factors here;
https://brainly.com/question/20247331
You got 8 correct out of 9 points.
If P(x): x < |2x|. b) What is the value of ∃x P(x)?
Answer:
true
Step-by-step explanation:
because some of x if x=3 then 3<6 is true
Which is an infinite arithmetic sequence? a{10, 30, 90, 270, …} b{100, 200, 300, 400} c{150, 300, 450, 600, …} d{1, 2, 4, 8}
Answer:
C
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Sequence a
30 - 10 = 20
90 - 30 = 60
270 - 90 = 180
This sequence is not arithmetic
Sequence b
200 - 100 = 100
300 - 200 = 100
400 - 300 = 100
This sequence is arithmetic but is finite, that is last term is 400
Sequence c
300 - 150 = 150
450 - 300 = 150
600 - 450 = 150
This sequence is arithmetic and infinite, indicated by ........ within set
Sequence d
2 - 1 = 1
4 - 2 = 2
8 - 4 = 4
This sequence is not arithmetic
Thus the infinite arithmetic sequence is sequence c
Try this 33-33+33×33÷0
Answer:
the answer is
Step-by-step explanation:
1089 first divide then multiply both numbers after that substract the numbers
Answer:
the answer is error
hope it helps
Jaime went to the mall with $42. If he bought a T-shirt and had $18 left, how much did the T-shirt cost Jaime in dollars?
Answer:
$24
Step-by-step explanation:
You simply do $42-$18
=24
Answer:
$24
Step-by-step explanation:
At the start, Jaime had $42. In order to find out how much the T-shirt he purchased costs, we must subtract 18 from 42.
42 - 18 = 24
Jaime spent $24 on the T-shirt.
are:
4. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally
distributed. We randomly sample 27 fly balls. Their recorded distances in feet
234, 310, 285, 249, 210, 311, 265, 290, 308,
254, 295, 287, 231, 302, 325, 308, 221, 237,
312, 277, 259, 223, 340, 204, 214, 303, 309
Let X be the distance of a fly ball.
Use Excel to calculate the following:
a. (1 pt) mean of the sample, x =
b. (1 pt) standard deviation of the sample, s =
C. (2 pts) Calculate the t-score at a 96% confidence level:
d. (2 pts) Calculate the Error Bound (EBM), using the formula, EBM =
(t)(s//n)
e. (1 pt) At 96% confidence level, provide the confidence interval (CI) for the
mean distance in feet of a fly ball.
hantor 92
D
Step-by-step explanation:
a. The mean can be found using the AVERAGE() function.
x = 272.7
b. The standard deviation can be found with the STDEV() function.
s = 39.9
c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.
t = 2.162
d. Find the lower and upper ends of the confidence interval.
Lower = 272.7 − 2.162 × 39.9 = 186.5
Upper = 272.7 + 2.162 × 39.9 = 358.9
The table shows the percent of successful unmanned missions to Mars by each country or agency to the nearest tenth of a percent.
Use this graphic to answer the questions.
Based on the data in the table, which statement is false?
A.) Only 4.5 percent of the unmanned Mars missions launched by the European Space Agency have been successful.
B.) The majority, 72.7 percent, of the United States’ unmanned Mars missions have been successful.
C.) India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.
D.) The USSR/Russia launched 13.6 percent of successful unmanned Mars missions.
Answer:
C.) India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.
EDGE2021
Answer:
C.) India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.
Step-by-step explanation:
edge 2023
Round 1, 165.492 to the nearest hundredth.
Answer:
1, 165.500
Step-by-step explanation:
1, 165.492 rounded to the nearest hundredth is 1, 165.500 because the hundredth space in the decimal is 5 or above, so the whole decimal gets rounded to the nearest hundred, which in this case, would be .500.
165.492 is the correct answer
A car dealer recommends that transmissions be serviced at 30,000 miles. To see whether her customers are adhering to this recommendation, the dealer selects a random sample of 40 customers and finds that the average mileage of the automobiles serviced is 30,456. The standard deviation of the population is 1684 miles. By finding the P-value, determine whether the owners are having their transmissions serviced at 30,000 miles. Use α = 0.10. Are the owners having their transmissions serviced at 30,000 miles?
Answer:
No, the owners are not having their transmissions serviced at 30,000 miles.
Step-by-step explanation:
We are given that a car dealer recommends that transmissions be serviced at 30,000 miles.
The car dealer selects a random sample of 40 customers and finds that the average mileage of the automobiles serviced is 30,456. The standard deviation of the population is 1684 miles.
Let [tex]\mu[/tex] = true average mileage of the automobiles serviced.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 30,000 miles {means that the owners are having their transmissions serviced at 30,000 miles}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 30,000 miles {means that the owners are having their transmissions serviced at different than 30,000 miles}
The test statistics that will be used here is One-sample z-test statistics because we know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample average mileage serviced = 30,456 miles
[tex]\sigma[/tex] = population standard deviation = 1684 miles
n = sample of customers = 40
So, the test statistics = [tex]\frac{30,456-30,000}{\frac{1684}{\sqrt{40} } }[/tex]
= 1.71
The value of z-statistics is 1.71.
Also, the P-value of the test statistics is given by;
P-value = P(Z > 1.71) = 1 - P(Z [tex]\leq[/tex] 1.71)
= 1 - 0.9564 = 0.0436
For the two-tailed test, the P-value is calculated as = 2 [tex]\times[/tex] 0.0436 = 0.0872.
Since the P-value of our test statistics is less than the level of significance as 0.0872 < 0.10, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.
Therefore, we conclude that the owners are having their transmissions serviced at different than 30,000 miles.
How many pencils are in a bundle of 10
if they're in a bundle of 10 then theres 10 pencils
Stefan rode 32.95 miles.
Ben rode 25 4/5 miles. How many more miles did stefan ride than ben?
Answer:
7.15 miles
Step-by-step explanation:
4/5 of a mile is equivalent to .8 miles.
32.95
-25.8
7.15
Answer:
Step-by-step explanation:
39.95 - 25.80 = 7.15 miles
How does the multiplicity of a zero affect the graph of the polynomial function?
Select answers from the drop-down menus to correctly complete the statements
The zeros of a ninth degree polynomial function are 1 (multiplicity of 3), 2, 4, and 6 (multiplicity of 4).
The graph of the function will cross through the x-axis at only
The graph
will only touch (be tangent to) the x-us at
the x-axis
At the zero of 2, the graph of the function will choose...
Answer:
Step-by-step explanation:
Let the equation of a polynomial is,
[tex]y=(x-a)^2(x-b)^1(x-c)^3[/tex]
Zeroes of this polynomial are x = a, b and c.
For the root x = a, multiplicity of the root 'a' is 2 [given as the power of (x - a)]
Similarly, multiplicity of the roots b and c are 1 and 3.
Effect of multiplicity on the graph,
If the multiplicity of a root is even then the graph will touch the x-axis and if it is odd, graph will cross the x-axis.
Therefore, graph will cross x -axis at x = b and c while it will touch the x-axis for x = a.
In this question,
The given polynomial is,
[tex]y=(x-1)^3(x-2)^1(x-4)^1(x-6)^4[/tex]
Degree of the polynomial = 3 + 1 + 1 + 4 = 9
The graph of the function will cross through the x-axis at x = 1, 2, 4 only, The graph will touch to the x-axis at 6 only.
At the zero of 2 , the graph of the function will CROSS the x-axis.
These figures are similar. The area of one is given. Find the area of the other. PLZ HELP Plz ps the answer is not 12
==================================================
Explanation:
Dividing the side lengths, the scale factor is 6/3 = 2. This means the larger figure has a side length twice as long compared to its smaller counterpart.
How can we use this to figure out how the areas are connected? By simply squaring the scale factor to get 2^2 = 2*2 = 4, then we divide the larger area over 4 to get 24/4 = 6.
The longer side is 2 times longer
The larger area is 4 times larger
--------------------
Let's say we had a 3 by 3 square. It's area would be 9.
Also, let's say we had a 6 by 6 square. It's area is 36.
Notice the ratio of areas is 36/9 = 4, so the larger square is 4 times larger than the smaller. This 4 matches with what we got earlier.
----------------------
Another example:
square A is 7 by 7 with area 49
square B is 21 by 21 with area 441
ratio of areas is 441/49 = 9, which is exactly equal to 3^2, and the 3 comes from the ratio of the sides 21/7 = 3.
------------------------
So in short, you find the linear scale factor by dividing the sides. Then you square the result to get the area scale factor, which you use to find the smaller area.
linear scale factor = (new side)/(old side)
area scale factor = (linear scale factor)^2
smaller area = (larger area)/(area scale factor)
Marnie solved the proportion 150/170=x/510 to find the value of X
Answer:
x = 450
510/170 = 3
x/150 = 3
x = 450
Answer:
X=450 is the answer.
Step-by-step explanation:
Find the rectangular coordinates of the point with the given polar coordinates.
Answer:
[tex]( - \sqrt{3} \: an d \: 1)[/tex]
n a genetics experiment on peas, one sample of offspring contained 372 green peas and 35 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3 4 that was expected?
Complete Question
In a genetics experiment on peas, one sample of offspring contained 372 green peas and 35 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
Answer:
The probability is [tex]P(g) = 0.9140[/tex]
No it is not close to the probability expected
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 372 + 35= 407[/tex]
The number of green peas is [tex]n_g = 372[/tex]
The number of yellow peas is [tex]n_y = 35[/tex]
The probability of getting an offspring pea that is green is mathematically represented as
[tex]P(g) = \frac{n_g}{n}[/tex]
substituting values
[tex]P(g) = \frac{372}{ 407}[/tex]
[tex]P(g) = 0.9140[/tex]
The expected probability is [tex]\frac{3}{4} = 0.75[/tex]
But what we got is [tex]P(g) = 0.9140[/tex]
So we can say that the value obtained is not equal to the expected value
if a flight to europe takes about 13 hours and you make one round trip flight per month how many total days do you travel in a year
Answer:
13 days
Step-by-step explanation:
Given that a one-way flight to europe will take 13 hours
A round trip will take = 13 hrs x 2 = 26 hours
Also given that we make one round trip per months for 12 months (1 year)
We will take a total of 12 round trips per year
Number of hours taken for 12 round trips
= 26 hours per round trip x 12 round trips
= 26 x 12
= 312 hours
Recall that there are 24 hours in a day, hence to convert 312 hours into days, we have to divide this by 24.
Number of days = number of hours ÷ 24
= 312 ÷ 24
= 13 days
Take your time! :) Not important, but I would like to know, I'm writing flashcards so I can remember when I start back in school. Can you explain how to get the LCM of two numbers,GCF of two numbers, and what's the difference?
Answer:
The LCM of two numbers is the least common multiple. You want to find the least possible number that is divisible by the two numbers. So, you can list the factors of the two numbers. If there are factors that are repeated, put the repeated factors to the side. With the remaining factors, multiply the factors by each other and the repeated factors.
For example, let's try to find the least common multiple between 10 and 15.
Factors of 10: 2 * 5
Factors of 15: 3 * 5
The repeated factor is 5.
2 and 3 are left over. 2 * 3 = 6. 6 * 5 = 30. So, that is the least common multiple.
The GCF of two numbers is the greatest common factor. You want to find the greatest factor that is included in both numbers. So, again, you can list the factors of the two numbers and find the greatest factor that is repeated between the two numbers.
For example, let's try to find the greatest common factor between 30 and 45.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
Between the two numbers, shared factors are 1, 3, 5, and 15. So, the greatest common factor is 15.
Hope this helps!
pls help me
How many solutions exist for the system below?
y = -2x + 3
y = -2.3x
Answer:
0
Step-by-step explanation:
for y= -2*(3^x), as x is greater, the slope is steeper, and since the two graphs don't intercept in the picture we can see, they won't ever intercept because the slop of y=-2x+3 stays the same. as x becomes greater the distance between the two graphs is larger
The length of a rectangle is five times the width if the area of the rectangle is 180 in.² then find the length and the width
Let breadth be x
Length=5x
ATQ
[tex]\\ \sf \longmapsto Area=Length\times breadth[/tex]
[tex]\\ \sf \longmapsto 5x(x)=180[/tex]
[tex]\\ \sf \longmapsto 5x^2=180[/tex]
[tex]\\ \sf \longmapsto x^2=\dfrac{180}{5}[/tex]
[tex]\\ \sf \longmapsto x^2=36[/tex]
[tex]\\ \sf \longmapsto x=\sqrt{36}[/tex]
[tex]\\ \sf \longmapsto x=6in[/tex]
Width=6inLength=6×5=30inA recipe calls for 2 tablespoons of sugar for every 7 tablespoons of flour. If you plan on tripling the recipe what is the ratio of
sugar to flour?
-0)
A)
2 to 7
B)
2 to 21
5 to 10
DY
5 to 7
Answer:
It is still 2 to 7
Step-by-step explanation:
It is still 2 to 7 because if you triple the recipe, it will become 6 to 21 which still simplifies to 2 to 7.
If events A and B are
independent, what must be true?
Answer:
B. P(A|B) = P(A).
Step-by-step explanation:
Question
If a and b are independent events then it must be true that P(A|B)=P(A). TRUE OR FALSE.
Answer
The correct answer is:True.Explanation:P(A|B) is read as “the probability of A given B.” If A and B are independent, this means that B has no effect on A. This means the probability of A given B would be the same as the probability of A, since B has no effect.This means that P(A|B) = P(A).
Answer:
B. P(A|B) = P(A)
Step-by-step explanation:
I got it right on edge 2023 :)
if f(n) = 6-2n, find f(-1)
Answer:
8
Step-by-step explanation:
f(n)= 6-2n
f(-1) = 6- 2(-1)
= 6+2
=8
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and standard deviation of 10. The professor has informed us that 6.3 percent of his students received A's while only 2.5 percent of his students failed the course and received F's.
a. What is the minimum score needed to make an A?
b. What is the maximum score among those who received an F?
c. If there were 5 students who did not pass the course, how many students took the course?
Answer:
a) z (score) 1,53
b) z ( score) - 1,96
c) 200 students
Step-by-step explanation:
Normal Distribution N ( 74;10)
a) From z-table, and for 6,3 % ( 0,063 ) we find the z (score) 1,53
Note : 6,3 % or 0,063 is the area under the curve, the minimum score neded to get A
b) To fail 2,5 % ( 0,025 ) from z-table get - 1,96
c) If the group of student who did not pass the course (5) correspond to 2,5 % then by simple rule of three
5 2,5
x ? 100
x = 500/2,5
x = 200
0.6 reoccurring decimal as a fraction in the simplest term
Answer:
3/5
Step-by-step explanation:
here,
0.6
in fraction = 6/10
in simplest form 6/ 10 both term can be divided by 2 so,
6/10 ÷2
= 3/5
Please answer this correctly without making mistakes
Answer:
[tex]51\frac{4}{17}[/tex]
Step-by-step explanation:
If we add all of the fractions together, we 'd get 55/17 of an hour. The question is to find how many hours she spent exercising. Well, for that we'd just need to see how many seventeens fit inside 55. We could divide, but that'd lead us to a really long, weird number.
Since 17*3=51, we know that in total, three seventeens fit inside 55. Yet, there's still remainders.
55-51=4
So, our answer would be 51 (how many 17s go into 55) and 4/17 (the remainder.)
Hope this helps!! <3 :)
Which polynomial represents the sum below?
Answer:
The sum is represented by the polynomial:
[tex]5\,x^9+2 \,x^7+13\,x+4[/tex]
Step-by-step explanation:
Recall that polynomials are added by combining like terms. The only like terms in this addition are: 5 x and 8 x which added render: 13 x. therefore, the addition of these polynomials renders;
[tex]5\,x^9+2 \,x^7+13\,x+4[/tex]
If a cube has an edge of 2 feet. The edge is increasing at the rate of 6 feet per minute. How would i express the volume of the cube as a function of m, the number of minutes elapsed. V(m)= ??
Answer:
v(m) = 8 + 48m+ 180m² +216m³
Step-by-step explanation:
Let's first of all represent the edge of the the cube as a function of minutes.
Initially the egde= 2feet
As times elapsed , it increases at the rate of 6 feet per min, that is, for every minute ,there is a 6 feet increase.
Let the the egde be x
X = 2 + 6(m)
Where m represent the minutes elapsed.
So we Al know that the volume of an edge = edge³
but egde = x
V(m) = x³
but x= 2+6(m)
V(m) = (2+6m)³
v(m) = 8 + 48m+ 180m² +216m³
The volume of cube as function of m is, [tex]V(m)=72m[/tex]
Let us consider that edge of cube is a feet.
Since, The edge is increasing at the rate of 6 feet per minute.
[tex]\frac{da}{dt}=6feet/min.[/tex]
Volume of cube , V = [tex]a^{3}[/tex]
[tex]\frac{dV}{dt} =3a^{2} \frac{da}{dt}[/tex]
Substituting the value of da/dt in above equation.
We get, [tex]\frac{dV}{dt}=3a^{2}*(6) =18a^{2} \\\\dV=18a^{2}dt[/tex]
Integrating on both side.
[tex]V=18a^{2}t[/tex]
Since, number of minutes elapsed is m.
Substitute , t = m and a = 2 feet in above equation.
We get, [tex]V=18(2)^{2}*m=72m[/tex]
Thus, the volume of cube as function of m is, [tex]V(m)=72m[/tex]
Learn more:
https://brainly.com/question/14002029
The multiplicative inverse of – 1 in the set {-1,1}is
Answer: The multiplicative inverse of – 1 in the set {-1,1} is -1.
Step-by-step explanation:
In algebra, the multiplicative inverse of a number(x) is a number (say y) such that
[tex]x\times y=1[/tex] [product of a number and its inverse =1]
if x= -1, then
[tex]-1\times y=1\Rightarrow\ y=-1[/tex]
That means , the multiplicative inverse of -1 is -1 itself.
Hence, the multiplicative inverse of – 1 in the set {-1,1} is -1.
In a lottery game, a player picks 6 numbers from 1 to 50. If 5 of the 6 numbers match those drawn, the player wins second prize. What is the probability of winning this prize
Answer:
1/254,251,200 Or 0.000000003933118
Step-by-step explanation:
1/50x1/49x1/48x1/47x1/46=1/254,251,200