Answer: 16. C 17. A 18. A
19 You got this! There is only one answer with the correct radius squared!
Step-by-step explanation:
For the coordinates of the center, flip the signs in the parentheses.
For the "=output": in the equation, square the given radius.
Center: (-14.4) the signs in (x + 14)²+(y - 4)² are the opposites.
Radius given: 2 Square it to get the =4
IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the proportion of the population for the following IQ score. For your answer, convert each proportion into a percentage whose value is computed to 2 decimal places. Sketch a distribution to help you visualize the problem. IQ score greater than 135
Answer:
0.01
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ,
where x is the raw score = 135
μ is the population mean = 100
σ is the population standard deviation = 15
z = 135 - 100/15
z = 2.33333
P-value from Z-Table:
P(x<135) = 0.99018
P(x>135) = 1 - P(x<135)
P(x > 135) = 1 - 0.99018
= 0.0098153
Approximately to 2 decimal places
= 0.01
Therefore, the proportion of the population for the following IQ score of 135 is 0.01
what is the constant of porportionality between 9 and 4.5
Answer:
1/2
Step-by-step explanation:
Volume of 120 grams divided by 480cm3
Answer:
= 0.25 g/cm3
Step-by-step explanation:
this is called density the grams per volume.
density = mass
volume
= 120g
480cm3
= 0.25 g/cm3
Find the slope of the line passing through the points (-4,7) and (2,-8)
Answer:
[tex]m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (2, -8)
Step 2: Find slope m
Substitute: [tex]m=\frac{-8-7}{2+4}[/tex]Subtract/Add: [tex]m=\frac{-15}{6}[/tex]Simplify: [tex]m=\frac{-5}{2}[/tex]What is the length of the line segment with endpoints (11, −4) and (−12, −4) ?
Answer:
23 units on the x axis
Step-by-step explanation:
The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:
Answer:
Larger is -30
Smaller is -20
Step-by-step explanation:
-50/2 = -25
difference is -10
add 5 to one number minus 5 from the other
so
-25 - 5 = -30
-25 + 5 = -20
Hope this helps :)
Answer:
be careful how you answer this
the larger number (y) = - 20
the smaller number (x) = - 30
Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.
Step-by-step explanation:
x + y = -50
x - y = -10 Add
2x = - 60 Divide both sides by 2
2x/2 = -60/2 Do the division
x = - 30
=============
-30 - y = - 10 Substitute - 30 for x in the second equation
-30+30- y = -10 + 30 Add 30 to both sides
-y = +20 Divide by -1 on both sides
y = - 20
The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?
Answer:
The rate of change relates the change in population to the change in time. The population increased by 2212−1900=312 people over the four-years. To find the rate of change, divide the change in the number of people by the number of years.
2212−19004=3124
3124/4 =78
So the population increased by 78 people per year.
Because we are told that the population increased, we would expect the slope to be positive. This positive slope we calculated is therefore reasonable.
Please help due in 5 min
Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?
A. 24%
B. 30%
C. 44%
D. 60%
PLEASE show work
Answer:
B. 30 Percent
15+9=24
24/80=30 Percent
Step-by-step explanation:
on the first day of camp, Sara hiked 20 miles in 5 hours. At this rate how long would it take Sara to hike 12 miles?
Answer:
3 hours
Step-by-step explanation:
20 ÷ 5 = 4 mph
12 ÷ 4 = 3 hours
hope this explanation makes sense! :)
Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On the first day of camp, Sara hiked 20 miles in 5 hours.
The rate = 20/5 = 4 miles per hour
Let x be the time taken by Sara to hike 12 miles
As its rate of speed of Sara is 4 miles per hour
x = 12/4
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
x = 3 hours
Thus, Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
The difference between the sample value and the true value in the population under study is referred to as _______.
Answer:
a. sampling error
Step-by-step explanation:
These are options for the question below;
a. sampling error
b. random error
c. measurement error
d. chance correlation
e. none of these
Sampling error can be regarded as statistical error, this do occur when the person analysing the data just select portion out of the data, which doesn't fully cover for the whole population of the data, and after the analysis the gotten result doesn't resemble the kind of result that could have gotten if the whole population of Data is used. It occurs where there is more difference exist between population parameter and a sample statistic.
Mathematically sampling error can be calculated using below formula
Sampling error= Z √[p(1-p)/n] [1-√(N/n)
Where
N= population size
n=sample size
Z= score for the selected confidence level
P= proportion of people surveyed
It should be noted that The difference between the sample value and the true value in the population under study is referred to as sampling error
At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?
Answer:
400 total
Step-by-step explanation:
so 100 is 25% of 100% and 25%x4=100%
so do 100x4=400=100% of the middle schoolers
Recidivism occurs when a person continues to commit criminal behavior even after having been punished. A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism. Construct a 99% confidence interval for the proportion of cases of recidivism.A. (0.331, 0.567)B. (0.188, 0.332)D. (0.289, 0.431)E. (0.069, 0.111)
Answer:
Option (C) [0.2574 , 0.2626]
Step-by-step explanation:
Of 250 convicts, there are 65 cases of recidivism.
- Construct a 99% confidence interval for the proportion of cases of recidivism.
This calls for first finding the proportion of cases of recidivism. This will be 65/250 = 0.26
You are 100% confident that the proportion of cases of recidivism is 0.26
You will be 99% confident that the recidivism cases are between:
99% of 0.26 = 0.2574
1% of 0.26 = 0.0026
[0.26 - 0.0026] , [0.26 + 0.0026] = [0.2574 , 0.2626]
This should be OPTION C, as that option is missing in the list of options.
Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =
Answer:
y = 3x + 9
Step-by-step explanation:
The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~
(- 8, 5)
(4, 1)
m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]
Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3
Coordinates of midpoint are ( - 2 , 3 )
y - 3 = 3 ( x + 2 )
y = 3x + 9
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
Use the information mZ1 = (3x + 30), m42 = (5x – 10°, and x = 20, and the theorems you have learned to
show that 1 || m.
Answer:
Step-by-step explanation:
First you have to do 2 + 2=
About 1/5 of all adults in the United States have type O blood. If four randomly selected adults donate blood, find the probability of each of the following events.
a. All four are type O.
b. None of them is type O.
c. Two out of the four are type O .
Answer:
We know that:
1/5 = 0.2 of all adults in US have type O blood.
Then: 4/5 = 0.8 of all adults in US do not have type O blood.
a) All four are type O.
Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8
Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:
P =0.2^4 = 0.0016
b) None of them is type O.
Similar to the above case, but this time we work with four times the probability 0.8
P = 0.8^4 = 04096
c) Two of the four are type O.
Here we will have two times the probability 0.2, and two times the probability 0.8.
p = 0.2^2*0.8^2
But, if the people is ordered, the two persons with type O blood can be:
first and second
first and third
first and fourth.
second and third
second and fourth
third and fourth.
6 different combinations, then the actual probability for this case will be:
P = 6*p = 6*(0.2^2*0.8^2) = 0.1536
The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
About 1/5 of all adults in the United States have type O blood.
p = 0.2
q = 1 - p = 1 - 0.2 = 0.8
a. All four are type O. The probability will be
P = p⁴
P = 0.2⁴
P = 0.0016
b. None of them is type O. The probability will be
P = q⁴
P = 0.8⁴
P = 0.4096
c. Two out of the four are type O. The probability will be
P = p² × q²
P = 0.2² × 0.8²
P = 0.04 × 0.64
P = 0.0256
More about the probability link is given below.
https://brainly.com/question/795909
What fraction is equivalent to the decimal and percent below? Enter your
answer in simplest form, using the slash (/) as the fraction bar.
Fraction Decimal Percent
? 0.50 50%
Answer here
SUBMIT
Answer: 1/2
Step-by-step explanation:
please answer asap it’s due in 1 min
What is the slops of this line? Enter your answer as a fraction in simplest term in the box.
Answer:
It is 1/4
Step-by-step explanation:
If you go from dot to dot on the line, starting with the first dot:
you go to the right 4 times and then up 1 to get to the next dot.
If you put that into a fraction it is [tex]\frac{rise}{run}[/tex] so going up (1) is ontop of going to the right (4), which is 1/4.
anyone know thisssss
On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles
List the transformations of the function.
*
g(x) = -(x+5)-4
Answer:
Transformations of g(x) = -(x+5)-4:
reflects across x-axistranslates left translates downSolve this system for m and b 342=23m+b 147=10m+b
Answer:
b = − 3
m = 5 ( 39 + 2 m ) /23
Mitchell walked 5/12 of a mile in 1/2 of an hour. At this rate, how far could Mitchell walk in 1 hour?
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[tex]2 \times \frac{1}{2} hour = 1hour \\ [/tex]
Thus ;
[tex]2 \times \frac{5}{12} \: \: miles = \frac{10}{12} \: \: miles = \frac{5}{6} \: \: miles \\ [/tex]
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I think the answer is 5/6
Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.
Answer: E(X) = 30; Var[X] = 180
Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:
[tex]E(X)=\frac{r}{p}[/tex]
r is number of times it is repeated
p is probability it happens
Solving:
[tex]E(X)=\frac{5}{1/6}[/tex]
E(X) = 30
Variance is given by:
[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]
[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]
[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]
Var[X] = 180
Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.
what fraction is equal to 4.5
Answer:
9/2
Step-by-step explanation:
in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...
we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...
now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2
since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4
now we need to find the remaining 1/2
this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)
Since 9/2 cannot be simplified any further... it is our final answer
Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP
ps. Giving 30 points if answer is given
Answer:
I believe the bottom one is true and the rest are false
Step-by-step explanation:
bottom one true
Answer:
it is the last one. it is a smaller distance from Drachten
Step-by-step explanation:
HOPEFULLY MY LAST ONE!!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
1/3
Step-by-step explanation:
Rise/run
10/30
I hope this is right and that it helps.
Which equations has a solution of X=1.5
the product of the sum and the difference of 8x and 4y
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question