Answer:
The area of a rectangle is given by the formula:
area = length * breadth
In this case, the length of the rectangle is (x+2) cm and the breadth is (x) cm, so the area is:
area = (x+2) cm * (x) cm
= x^2 + 2x cm^2
We know that the area of the rectangle is 15 cm^2, so we can set up the following equation:
x^2 + 2x cm^2 = 15 cm^2
We can solve for x by using the quadratic formula:
x = (-2 +/- sqrt(4 - 41(-15))) / (2*1)
= (-2 +/- sqrt(64)) / 2
= (-2 +/- 8) / 2
= (-4, 2)
We have two solutions for x, so we need to consider both of them to find the dimensions of the rectangle.
If x=-4, then the length of the rectangle is (x+2) cm = (-4+2) cm = (-2) cm and the breadth is (x) cm = (-4) cm. Since the length and breadth of a rectangle must both be positive, this solution is not valid.
If x=2, then the length of the rectangle is (x+2) cm = (2+2) cm = 4 cm and the breadth is (x) cm = 2 cm. These dimensions give us a valid rectangle with an area of 15 cm^2.
The perimeter of the rectangle is the sum of all four sides, so the perimeter is 2 cm + 2 cm + 4 cm + 4 cm = 12 cm.
Therefore, the value of x that gives us a rectangle with an area of 15 cm^2 and a perimeter of 12 cm is x=2.
Which student had the highest average (mean) score?
Math Tost Scores for Five Students
Score on Math Score on Math
Student
A. 1
B. 2
C. 3
D. 4
E. 5
4. Jillian tracks her progress on her spelling tests over a period of four weeks. Which list shows her scores from
greatest to least?
WEEK 1
WEEK 2
WEEK 3
WEEK 4
25
0.78
30
15
| |=5
82%
F. Weeks 1,3,2,4
H. Weeks 3, 1, 2,4
G. Weeks 3, 1, 4,2
J. Weeks 1,3,4,2
Answer:
its F
Step-by-step explanation:
choose a measure of center that best represents the data. justify your choice, then fine the measure
1. {35, 38, 31, 40, 34, 37, 84, 32}
mean
median
mode
LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=x and MP=4x-6
Answer: x = 2.
LN = MP = 2.
Solution in the photo, below.
write the expontial form of 432
Answer:
432 = 2 square × 3 cube
Step-by-step explanation:
yan po ang alam ko...
Help
A car travels at a constant rate from point M to point N. It takes 22 minutes to travel that distance.
Which equation represents y, the distance in miles that the car travels in x minutes?
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of 12 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 58 bolts. The sample mean bolt length was 12.07 centimeters. The population standard deviation is known to be o=0.25 centimeters. what is the test statistic z? what is the p-value?
The test statistic from the factory population is 2.12. The p value is given as .017003.
How to solve for the test statisticsWe have the following values to solve the problem with
n = 58
sample mean x = 12.07
standard deviation = 0.25 meters
u = length = 12
The formula is given by
[tex]z= \frac{x-u}{sd/\sqrt{n} }[/tex]
when we insert the values we would have:
[tex]z= \frac{12.07-12}{0.25/\sqrt{58} }[/tex]
z = 0.07 / 0.033
z = 2.12
we have to find the p value when z = 2.12
The p value is 0.017003 using a statistical calculator
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Mr. Fraser signs up for a math class in the
summer, and at the end of each week there is
a 5 questions multiple choice test. Each
question has four options/answers.
On week 3, out of curiosity, he decides to
randomly pick the answer for each of the five
questions (he doesn't even read the
questions-just circles one of the four
options!)
What is the probability that he will pass using
this method? Do you think he will regret this
experiment?
Therefore , the solution of the problem of probability comes out to be
Probability = 0.25 or 25% that he will pass using this random option picking method.
Define probability.Probability is the likelihood or potential for something to event. For instance, there is only one way to get a head and a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) must equal 12. Classical: (equally likely results) (equally probable outcomes) S, the sample location (the collection of all distinct outcomes that could occur), Definition of Relative Frequency and Subjective Probability.
Here,
Given : t the end of each week there is a 5 questions multiple choice test.
and
Has 4 options.
Probability that he will pass using this random option picking method.
=> Probability = Favourable events / Total no of outcomes
=> Probability = 1 /4
=> Probability = 0.25 or 25%
Therefore , the solution of the problem of probability comes out to be
Probability = 0.25 or 25% that he will pass using this random option picking method.
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Helpp!! Solve the system by graphing.
special right triangles IXL question
pls help question is in pic
Answer:
3
Step-by-step explanation:
formula sin30=z\6
0•5000=z/6
0•5000×6=z
3•0000=z
Autumn received $150 for her birthday this year.
This was $10 less than half the amount she
received last year. How much money did
Autumn receive for her birthday last year?
Write an equation to model this situation.
Let x = the amount of money Autumn received
last year
2. A gallon of gas cost $3.50 at the
beginning of the month. At the e
of the month it cost $3.75. What
was the percent change in the
price of a gallon of gas?
Answer: 0.071%
Step-by-step explanation:
To get from $3.50 - $3.75, there was an increase of $0.25.
(Sorry if I'm getting the currency bit wrong, I'm British.)
Divide 0.25 by the original cost of 3.50, and you get:
0.07142857142857142857142857142857
Round this and you get a 0.071% increase
Answer:
The percent change in the price of a gallon of gas is 0.0714%.
Step-by-step explanation:
Given;A gallon of gas costs $3.50 at the beginning of the month.At the end of the month it costs $3.75.Here, The price increased from $3.50 to $3.75, a change of $0.25.
To find What is the percent change.Formula[tex] \frac{changed \: \: price}{original \: \: price} \times 100\% \\ [/tex]So,
$0.25 ÷ $3.50 × 100% = 0.0714%
Thus, The percent change in the price of a gallon of gas is 0.0714%.
Find the area of the trapezoid
Answer:
I think that the answer is 3495.24in
Find the perimeter of the figure
9+5+1+5+4=24 In
this shld be the ans.
if its that simple
B) If one gallon of paint covers 0.5 square meters, how many gallons of black paint will the
need to paint the house?
Show your work
If you need anymore information let me know also if you send a link when I die I will come and haunt you
Answer:2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Step-by-step explanation:
40×27 /12×96 in lowest form
Answer:
8640
Step-by-step explanation:
40 × 27/12 = 90
90 x 96 = 8640
How do you write the sum in the simplest form 5/12 + 9/12=
14/12
7/12
14/24
7/6
Answer:
[tex]\frac{7}{6}[/tex]
Step-by-step explanation:
[tex]\frac{5}{12} + \frac{9}{12} = ?[/tex]
When adding fractions, the denominators must be the same. In this case, they are both 12, so we can just add the numerators.
5 + 9 = 14
We are left with:
[tex]\frac{14}{12}[/tex]
14 and 12 are both even numbers and can be simplified by dividing by 2.
14 ÷ 2 = 7
12 ÷ 2 = 6
[tex]\frac{14}{12}[/tex] simplifies to [tex]\frac{7}{6}[/tex]
This is your answer.
Hope this helps!
Please tell me the question 11
Answer:
Step-by-step explanation:
Just find where both lines intersect. In this case, the two lines intersect at the point (2,4)
URGENT WILL GIVE BRAINLIEST ANSWER ASAP!
What is 3i=105 equals?
(As in, what is i representing?)
which is a solution to (x-2)(x+10)=13
Answer:
answers 3
Step-by-step explanation:
took more thinking than it should've tbh (3-2=1) (3+10=13) 1x13=13
Which is the best estimate of the circumference of this circle? A. 4 units B. 2 units C. 38 units D. 12 units
Answer:
The question is not complete
The best estimate of the circumference of the circle with radius 2 units is 12 units (approximately).
What is circumference of a circle?The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Under these circumstances, the circumference of a circle may be defined as the limit of the perimeters of inscribed regular polygons as the number of sides increases without bound. The term circumference is used when measuring physical objects, as well as when considering abstract geometric forms.
Given, radius = 2 units.
Circumference of a circle = 2πr = 2 * 3.14 * 2 = 12.56 units
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Solve for x.
7x + 3
3x + 35
x = [?]
Enter
Answer:
8
Step-by-step explanation:
7x+3= 3x+35
4x= 32
x=8
they are corresponding angles
helo. since the top and bottom lines are straight and parallel, it = 180. also, since theyre parallel, the other side of the top line also=3x+35. so...
7x + 3 + 3x + 35=180
10x+38=180
10x=142
x=14.2
Victoria needs to earn at least an 85 in College Algebra. Only exam scores are used to calculate her grade. Currently she has scored an 82, 81, and 90 this semester. All that remains is the semester exam, which counts twice (counts as two exam grades). She hopes to make an 85 or higher in the class.
She would need to make two extra grades of 86 each.
What is the average?Here we can see that the average of the scores that Victoria would need to make is an average score of 85 so as to be able to pull through. In this case, we can see that we have the scores; 82, 81, and 90
Let the scores tat we have to count twice be p each and then we have;
85 = 82 + 81 + 90 + p + p/5
85 = 253 + 2p/5
5(85) = 253 + 2p
p = 5(85) - 253/2
p = 86
Hence, the twice scores that need to be earned for Victoria are both 86.
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x−2y=3
Determine the missing coordinate in the ordered pair (−4,?) so that it will satisfy the given equation.
Answer:
y=-3.5
Step-by-step explanation:
substitute -4 for x
add 4 on both sides to get rid of the -4
divide -2 on both sides to isolate y
and you get 3.5 for y
The value of y that will satisfy the equation given is -3.5.
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
Given that, the missing coordinate in the ordered pair (−4, ?), we need to find the missing value that will satisfy the equation x-2y = 3,
To find the same, just replace the value of x by -4,
-4-2y = 3
-2y = 7
y = -3.5
Hence, the value of y that will satisfy the equation given is -3.5.
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Make equivalent fractions with the LCD of 12:
5/6 + 1/4 =
5/12 + 1/12 =
10/12 + 3/12 =
7/12 + 4/12 =
11/12 + 5/12 =
Which one?
Answer:
All four are equivalent fractions with the LCD of 12
Step-by-step explanation:
An online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine. A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet. Test the claim that less than 50% of Internet users get their health questions answered online.
Answer:
The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.
Step-by-step explanation:
Test the claim that less than 50% of Internet users get their health questions answered online.
At the null hypothesis, we test that 50% of Internet users get their health questions answered online, that is:
[tex]H_0: p = 0.5[/tex]
At the alternate hypothesis, we test that this proportion is less than 50%, that is:
[tex]H_a: p < 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet.
This means that [tex]n = 1318, X = \frac{606}{1318} = 0.4598[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4598 - 0.5}{\frac{0.5}{\sqrt{1318}}}[/tex]
[tex]z = -2.92[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.4598, which is the p-value of z = -2.92.
Looking at the z-table, z = -2.92 has a p-value of 0.0018.
The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.
Find the area of the shapes
Answer:
45.5km
Step-by-step explanation:
AREA= base x height
So with this equation, we know that 5km is the height, and 9.1km is the base.
So to find out the area all we have to do is 9.1x5 which equals 45.5
Seat belt use in WA state (pop: 7.5 million) is reported to be 95% compared to 85% in Mississippi (pop 3 million). A random sample of 1,000 residents is taken from each state. Since we are sampling a higher proportion of the population of Mississippi, the % of seatbelt users in the Mississippi sample will likely be closer to the population proportion. Be sure to state true or false clearly first. Then explain which sample (WA or MI) is more likely to be closer to its population proportion and why?
Answer:
True
Step-by-step explanation:
By sampling a larger proportion of Mississippi's population, the percentage of people who wear seatbelts in Mississippi surveys would be closer and nearer to the population proportion.
The rule of large numbers states that if we collect samples of increasing size from every population (here, Mississippi vs. Washington WA state), the sampling distribution's mean, px, continues to get closer and nearer to the actual true population proportion (p).
Recall that as n becomes greater, the sample mean obeys a normal distribution because of the Central Limit Theorem. However, as (n) rises, the sampling distribution's standard deviation reduces.
where:
sampling proportion's standard deviation = [tex]\sqrt{\dfrac{p((1-p)}{n}}[/tex]
If n rises, the sample proportion [tex]P_x[/tex] have to get nearer to the population proportion P.
For both counties, the sample size is 1000, but the true population varies. According to the provided statement, the true population of Mississippi (3 million) is less than that of Washington State (7.5 Million). As a result, we can confidently assume that our sampling proportion in Mississippi seems to be much closer to the true actual population than our sampling proportion in Washington state.
1. A student has computed that it takes an average of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early morning class. Find the proportion of times whose time X satisfies each of the following conditions:
A) If you selected 10 days at random, what is the probability that half the days will take between 15 and
20 minutes?
B) What is the probability the second day selected will be the first day he is late to class, assuming he left
at 8:39am?
(I know how to solve for the probabilities on their own, however I’m not sure how to incorporate the added probability based on multiple days)
Answer:
B
Step-by-step explanation:
i have been trying to figure this out for hours-
answer choices:
SSS
SAS
ASA
AAS
HL
Not Congruent
Answer: The answer is SAS