Answers
==============================================
Explanation:
For any 45-45-90 triangle, the two legs are the same length.
So m = n.
This is because the two angles opposite these legs are congruent.
Using the Pythagorean theorem, we can find m
m^2+n^2 = (7*sqrt(2))^2
m^2+m^2 = 98
2m^2 = 98
m^2 = 98/2
m^2 = 49
m = sqrt(49)
m = 7
As a quick shortcut, the hypotenuse of any 45-45-90 triangle is always sqrt(2) times the leg.
hypotenuse = (leg)*sqrt(2)
The answer to question is m=7.
Related Questions
2. Knowing the results of the 2018 SAT math exam with a mean of 531 and standard deviation of 114, answer the following questions: (10 points)
a. What percentage of test takers scored lower than 400 on the math SAT?
Your calculation:
b. What percentage scored between 600 and 700 points?
Your calculation:
c. Your score is 725. What is your percentile rank?
Answers
Answer:
(a) 12.5%
(b) 20%
(c) 96th
Step-by-step explanation:
Let X denote the results of the 2018 SAT math exam.
It is provided that the mean of exam was, μ = 531 and standard deviation of σ 114.
Assume that X follows a normal distribution.
(a)
Compute the probability of test takers who scored lower than 400 on the math SAT as follows:
[tex]P(X<400)=P(\frac{X-\mu}{\sigma}<\frac{400-531}{114})[/tex]
[tex]=P(Z<-1.15)\\\\=0.12507\\\\\approx 0.125[/tex]
Thus, the percentage of test takers who scored lower than 400 on the math SAT is 12.5%.
(b)
Compute the probability of test takers who scored between 600 and 700 points as follows:
[tex]P(600<X<700)=P(\frac{600-531}{114}<\frac{X-\mu}{\sigma}<\frac{700-531}{114})[/tex]
[tex]=P(0.61<Z<1.48)\\\\=P(Z<1.48)-P(Z<0.61)\\\\=0.93056-0.72907\\\\=0.20149\\\\\approx 0.20[/tex]
Thus, the percentage of test takers who scored between 600 and 700 points is 20%.
(c)
Compute the value of P (Z < 725) as follows:
[tex]P(X<725)=P(\frac{X-\mu}{\sigma}<\frac{725-531}{114})[/tex]
[tex]=P(Z<1.70)\\\\=0.95543\\\\\approx 0.96[/tex]
Thus, a student who scores 725 has a 96th percentile rank.
Because the population size may change over time, you also decide to look at rates,which for drug overdose are generally expressed as deaths/100,000 residents.The statepopulation for 2015 was estimated at 11,620,000.Calculate the rate of drug overdosedeaths
Answers
This question is incomplete, the complete question is;
As the junior public health epidemiologist in a large state in the Midwest Rust Belt, you have been asked by your supervisor to assist her in updating the statistics on opioid deaths. She is also asking for your help in writing a brief report describing the current situation for the annual report on drug abuse.
- In 2015, there were 3050 drug-related deaths, of which 2950 involved opioids, What percent of the deaths were due to opioids? Express your answer in the following format: XX.XX% (e.g., 54.81%).
- Because the population size may change over time, you also decide to look at rates, which for drug overdose are generally expressed as deaths/100,000 residents. The state population for 2015 was estimated at 11,620,000.Calculate the rate of drug overdose deaths.
Answer:
the rate of drug overdosedeaths is 27 per 100,000 residents
Step-by-step explanation:
Given that;
3050 drug-related deaths in 2015,
Deaths due to opioids in 2015 is 2950
percentage = (2950 / 3050) × 100 = 96.72%
therefore
percentage of the deaths that were due to opioids in 2015 is 96.72%
-
we know that
State population for 2015 = 11,620,000
Number of drug-related deaths in 2015 = 3050
Death rate is number of deaths recorded divided by the number of population, and then multiplied by 100,000 as in the question
so
Rate of drug overdose = (3050 / 11620000) × 100,000
=26.25 ≈ 27 per 100,000 residents { since of person can't be decimal)
therefore
the rate of drug overdosedeaths is 27 per 100,000 residents
Need HELP URGENT please
Answers
Answer: D
Step-by-step explanation: 3 is smaller than 4 and 4 is smaller than 6. And 3 is smaller than 5 and 5 is smaller 6
A Tortoise walks 12 inches per minute. Convert to feet per hour.
Answers
Answer:
60 feet per hour
Step-by-step explanation:
12 ÷ 12 = 1
1 * 60 = 60
A.
(0, -1)
B.
(1, 0)
C.
(0, 0)
D.
(1, -1)
Answers
what is the question you can't just give the options bruh
PLZZZZZZZZZZZZZZ HURRYYY ..The graph represents the serving sizes of chow mein at a local restaurant. Which of these describes the unit rate? *
A: (5, 1250) where 1250 is the unit rate
B: (3, 750) where 3 is the unit rate
C: (1, 250) where 250 is the unit rate
D: (7, 1750) where 7 is the unit rate
Answers
Answer:
C
Step-by-step explanation:
the unit rate is how much for one. so in the graph we can see that one serving is equal to 250 grams.
hope this helps :))
Question 2 (1 point)
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7
gallons of gas?
Answers
Answer:
63/3 m/7
Step-by-step explanation:
i dont have time to exlplain lol just trust
Achange in temperature of 6°C is equivalent to a
change in temperature of
°F
Celsius
1
2
6
Fahrenheit
18
3.8
2
Math
Answers
the answer is 10.8.
According to the High School Athletics Participation Survey, 55% of students enrolled in high school participate in athletic programs. Suppose 12 high school students are randomly selected and the number who participate in athletic programs is recorded. Round probabilities to 4 decimal places. 6.Explain why this is a binomial experiment
Answers
Answer:
The given experiment is binomial experiment
1. There are two outcomes classified as success or failure.
2. The probability of success remains fixed on each trial.
3. There are n fixed number of trial.
4. The trails are independent.
Step-by-step explanation:
The given experiment is binomial experiment because
1. There are two outcomes classified as success or failure. Here success is participating in athletic programs and failure is not participating in athletic programs.
2. The probability of success i.e. probability of participating in athletic programs 0.55 remains fixed on each trial.
3. There are n fixed number of trial i.e. 12.
4. The trails are independent i.e. students participates in athletic programs independently.
HELP IT'S DUE TONIGHT!!!!!
If a piece of steel 12 feet long weighs 168 pounds, how much will a piece of steel 20 feet long weigh?
Answers
Answer:
280lbs
Step-by-step explanation:
168/12=14
14×20=280
Help 85 points !!!! ASAP
f(−2) = _______
X, Y graph. Plotted points negative 3, 0; negative 2, 2; 0, 1; and 1, negative 2.
Answers
Answer
2
Step-by-step explanation:
If (-2, 2) is a plotted point for the function f(x), it means f(-2) = 2.
3) Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.
Answers
Answer:
[tex]y - 1 = -2(x - 1)[/tex]
Step-by-step explanation:
point slop form is
[tex](y - y1) = m (x - x1)\\x1 = 1\\y1 = 1\\m = -2\\\\Thus,\\(y - 1) = -2 (x - 1)[/tex]
Shawn makes bracelets using stone beads. He buys beads for $0.30 each. The wire used to make each bracelet costs $0.10.
a) Write an equation to find the cost (c) to make a bracelet with b beads.
b) one of shawn's popular bracelets, the Charmer, includes 15 stone beads. Another bracelet, the sparkler, uses 20 beads. how much does it cost to make each bracelet?
I have no idea how to do this!
Answers
B). $10.70
The equation to find the cost (c) is C= 0.30b + 0.10.
The cost to make each bracelet is $10.70.
We have,
Shawn buy beads for $0.30 each.
The wire used to make each bracelet costs $0.10.
If C is the cost then the equation for the cost is
C = 0.30b + 0.10
where b is number of beads.
Now, Number of beads = 15 then cost is
C = 0.30(15) + 0.10 = $4.6
and, if number of beads is 20 then the cost is
C = 0.30(20)+ 0.10 = 6.1
Then, the total cost is = 4.6 + 6.1 = $10.7
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ3
Identify the slope, x-intercept and y-intercept of each line
Answers
x-int is -1
y-int is -3
2.) slope is -1
x-int is -4
y-int is -4
3.) not a function
4.) slope is 0.5
x-int is 4
y-int is -2
5.) slope is 0.5
x-int is 2
y-int is -1
6.) slope is -1.33
x-int is 0
y-int is 0
how to solve -4p+(-6p)
Answers
Answer:
-10p
Step-by-step explanation:
-4p + (-6p)
Because both have a variable p, you can combine them. Both are negative so you get the equation:
-4p -6p
This would give you:
-10p
I hope that this helps! :)
Mercury metal is poured into a graduated cylinder that holds exactly 22 ml. The mercury used to fill the cylinder weighs 308 g. From this information, calculate the density of mercury.
Answers
The density of mercury will be equal to 14 g/cm³.
It is given that the graduated cylinder holds exactly 22 ml and mercury used to fill the cylinder weighs 308 g.
We have to find out the density of the mercury.
What is the formula for density ?
The formula for density will be Density (D) = [tex]\frac{M}{V}[/tex] , where M is mass / weight of the object and V is the volume of the object.
As per the question ;
Graduated cylinder holds 22ml.
∵ 1 ml = 1 cc or cm³
So ,
The volume of graduated cylinder = 22 cm³
The weight of mercury = 308g
We know that ;
Density of mercury = Weight / Volume
⇒ Density of mercury = [tex]\frac{308}{22}[/tex]
⇒ Density of mercury = 14 g/cm³
Thus , the density of mercury will be equal to 14 g/cm³.
To learn more about density , weight and volume click here ;
https://brainly.in/question/22415824
#SPJ2
Which of the following is a true statement? right answer gets brainliest
A. The absolute value of -13 is not equal to 13.
B. The absolute value of 13 is equal to the opposite of -13.
C. The absolute value of 13 is equal to the opposite of 13.
D. The absolute value of -13 is equal to the opposite of 13.
PLEASE!
Answers
Help me out, please?
Answers
So the formula for a is y = 4
and for b is y = -3
help asap it important
Answers
4.) f(x-3)
5.) f(x)+5 and f(x+5)
Prior to conducting your study, you want your sample to be _____ to the population so that your sample represents the population
Similar
Opposed
Different
Incongruent
Answers
Are the lines x - 2y = 4 and y= 2x - 2 parallel, perpendicular, or neither?
O A.
parallel
OB.
perpendicular
O C.
neither
Please answer fast
Answers
Answer:
I'm pretty sure it's neither
What is the difference between m(x)=0 and m(0)?
Answers
Answer:
Line vs pointStep-by-step explanation:
The difference between m(x) = 0 and m(0) is
m(x) = 0 is the line overlapping with x-axis as for any value of x the value of m equals 0m(0)= 0 is the point on the same line overlapping with origin (0, 0)So the difference is line vs point on the same line
Sarah bought 3 purses which cost $12.30, $34.23 and $23.19. How much did she spend?
Answers
Answer:
$69.72
Step-by-step explanation:
Evaluate for a = -8, b = 7, c = -4, and d = 2.
a/b x b + ab
a divided by b times b plus a and b
Answers
answer would be -95
3. A family of 6 is visiting a mall. The mall has 10 exit doors. Assume random selection. Find the probability that a. No family member chooses the same exit door. b. Every family member chooses the same exit door
Answers
Answer:
(A) 0.6
(B) 0.1
Step-by-step explanation:
(A) Find the probability that NO family member chooses the same exit door.
Now, if no family member chooses the same exit door with another, it means that each person chooses a separate door. If each person chooses a separate door, then 6 out of 10 doors are chosen!
This translates to 6/10 which is = 0.6
So the probability that each family member has a door to him or herself is 0.6
(B) Find the probability that EVERY family member chooses the same exit door.
In this case, the number of persons (family members) does not really count. The focal point of the question is that everybody chooses the same door (and will use the same door). This means that only 1 door out of 10, will be chosen AND the probability that only one door out of 10 will be chosen is
1/10 = 0.1
William is studying the hair colors of all students attending his college. He collects data from the 25 students in his statistics class. Which type of sampling is used?
a) Convenience sampling
b) Stratified sampling
c) Cluster sampling
d) Systematic sampling
Answers
Answer:
Convenience sampling
Step-by-step explanation:
sampling plans are defined as ways, strategies used by researchers to select participants for their study. Kinds of sampling includes simple, systematic, stratified, cluster, quota, convenience and judgment(All sampling).
Convenience sampling is a type of sampling method that entails taking or chooses the individuals easiest to researchers reach. It is simply known for its ease of data collection and no random selection. sample is simply a part of a known population selected to act in place or representt the entire population.
A mí me (gustar) mucho el chocolate.
Fill in the blank with the correct
Answers
Answer:
I believe Gusta is the correct answer.
Step-by-step explanation:
Answer: it’s Gustaba
Step-by-step explanation: I took the test
Determine whether the example is a descriptive or inferential statistic. Give an explanation for your answer.
On April 29, 2020, 42.3% of songs on the Spotify "New Release 2020" playlist had explicit lyrics.
Answers
Answer:
The lyrics are explicit because it can be more on the fantasy and metaphoric side. The lyrics barely have real life answers. So, that is why it is explicit.
Step-by-step explanation:
PLS mark me brainliest
All the students in the sixth grade either have pets or do not have pets at home.88%of the students have pets.6 students do not have pets.How many students are in the sixth grade?
Answers
Answer:
There are 50 students in the sixth grade.
Step-by-step explanation:
Given that 88% of students have pets which means that only 12% do not have pets. It says that only 6 students do not have pets so we can assume that 12% is equals to 6 students. We have to form an expression for the number of students.
Lets make x = total number of students,
[tex] \frac{12}{100} \times x = 6[/tex]
[tex]x = 6 \div \frac{12}{100} [/tex]
[tex]x = 6 \times \frac{100}{12} [/tex]
[tex]x = 50 \: students[/tex]
Can somwon help me wit this queston plaese
Answers
Answer:
11
Step-by-step explanation:
if you have 10 apples then get 1 more you would have 11 :)
11
Hope this helps
James King
