Answer:
Probability that the student scored between 455 and 573 on the exam is 0.38292.
Step-by-step explanation:
We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.
Let X = Math scores on the SAT exam
So, X ~ Normal([tex]\mu=514,\sigma^{2} =118^{2}[/tex])
The z score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean score = 514
[tex]\sigma[/tex] = standard deviation = 118
Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)
P(455 < X < 573) = P(X < 573) - P(X [tex]\leq[/tex] 455)
P(X < 573) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{573-514}{118}[/tex] ) = P(Z < 0.50) = 0.69146
P(X [tex]\leq[/tex] 2.9) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{455-514}{118}[/tex] ) = P(Z [tex]\leq[/tex] -0.50) = 1 - P(Z < 0.50)
= 1 - 0.69146 = 0.30854
The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.
Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = 0.38292
Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.
Lines s, t, u, and v are cut by transversal r. Clockwise from top left, the angles formed by r and s are blank, 89 degrees, blank, blank; formed by r and t are 89 degrees, blank, blank, blank; formed by r and u are 91 degrees, blank, blank, blank; formed by r and v are blank, 89 degrees, blank blank , Which lists all the lines that are parallel to line s? only line v
only line t and line v
only line u and line v
only lines t, u, and v
By using the congruent angle relationships formed by transversal cutting parallel lines, we can infer that only lines t and v are parallel to line s, as they form corresponding angles of 89 degrees with transversal r, unlike line u, which forms a 91-degree angle.
The information given in the question indicates that a transversal r cuts four lines s, t, u, and v. By the information given for the angles formed by this transversal with each line, we can determine which lines are parallel to line s using the concept of alternate interior angles and corresponding angles, which are congruent if the lines are parallel Since the angle formed by the transversal and line s is 89 degrees and a corresponding angle formed by the transversal and line t is also 89 degrees, we can say that line s is parallel to line t.
Similarly, since another angle formed by transversal and line v is also 89 degrees, it implies that line s is also parallel to line v. However, line u has an angle of 91 degrees formed by the transversal, which does not match the 89-degree angle formed by the transversal with line s, indicating that line u is not parallel to line s. Given this information, the lines parallel to line s are only line t and line v.
Please help me answer this its timed!
Answer:
max = 1
Step-by-step explanation:
sin (x)
The range of values is from -1 to 1
The maximum is 1 and the minimum is -1
The period is 2pi
Galina is finding the area of triangle RST. To do so, she follows the steps in the table.
Step 1 Draw a rectangle around triangle RST.
Step 2
Find the area of the rectangle.
Step 3 Find the area of the three right triangles created
by the sides of the rectangle and the intersection
with each vertex of the triangle.
Step 4
Subtract the area of the right triangles from
the area of the rectangle.
To solve the problem using these steps, what are the dimensions of the rectangle she should draw?
On a coordinate plane, triangle R S T has points (negative 1, 1), (1, 3), and (2, negative 1).
2 units by 4 units
3 units by 4 units
3 units by 5 units
4 units by 5 units
Answer:Answer is B 3 units by 4 units
Step-by-step explanation:
Took review on e2020
The number of dogs in a city is declining at a rate of about .08% each
year. If there were 3500 cats to begin with, how many will there be in 10
years?
Answer:
There will be 3472 cats in 10 years
Step-by-step explanation:
There were 3500 cats
The number of dogs in a city is declining at a rate of about 0.08% each year.
We are supposed to find the no. of cats in 10 years
Formula :[tex]N(t)=N_0(1-r)^t[/tex]
Where N(t) = Remaining cats after t days
[tex]N_0[/tex] = Initial population
r = rate of depreciation
t=time
So, No. of cats remained after 10 years = [tex]3500(1-\frac{0.08}{100})^{10}=3472.100[/tex]
Hence There will be 3472 cats in 10 years
Why dint you look at that another question
What is the quotient *Again*
A. 3
B. 4
C. 5
D. 6
E. 7
Answer:
B. 4
Step-by-step explanation:
36/9=4, since 9*4=36. Therefore, the correct answer is B, 4. Hope this helps!
Plz help will mark brainliest
Answer: D
142
Step-by-step explanation:
Answer:
142
Step-by-step explanation:
Parentheses (yes {} and [] count but you work from the inside out)
Exponents
Multiply
Divide
Add
Subtract
What percent of the spring days had either rained or snowed ?
13%
35%
38%
46%
38%
It is 38% because 35/93 is like 0.3775942
Answer:
38%
Step-by-step explanation:
1. add the number of rain and snow days
[tex]24+11=35[/tex]
2. divide by total number of days
(total amount of days: 93)
[tex]\frac{35}{93}[/tex] [tex]=.376[/tex]
rounds to .38
3. multiply by 100 to get it as a percent
[tex](.38)(100)=38%[/tex]
Ben and his friends are having a TV marathon, and after 4 hours they have watched 5 episodes of the show. About how long will it take to complete the season, which has 24 episodes?(Give good explanation and steps)
(redo)
Answer:
19.2 hours.
Step-by-step explanation:
There are 60 minutes in an hour.
60 x 4 = 240
There are 240 minutes in 4 hours.
Next, find out how long each episode is.
240 / 5 = 48.
48 minutes is how long each episode is.
48 x 24 = 1152
The entire season would be 1152 minutes.
1152 / 60 = 19.2.
Feel free to let me know if you need more help. :)
Below is the graph of equation y= |x+2|-1. Use this graph to find all values of x such that...
y<0
To find the values of x such that y is less than 0 in the equation y = |x + 2| - 1, we set y less than 0 and solve for x. The values of x that satisfy y < 0 are x < -1.
Explanation:To find the values of x such that y is less than 0, we need to determine the portion of the graph below the x-axis, since y is negative in that region. Given the equation y = |x + 2| - 1, we can set y less than 0 and solve for x.
Setting y = 0, we have 0 = |x + 2| - 1. Adding 1 to both sides, we get 1 = |x + 2|. When the expression inside the absolute value is positive, the absolute value will be the same. Therefore, we can write x + 2 = 1. Solving for x, we get x = -1.
So, the values of x such that y is less than 0 are x < -1.
Learn more about Graph of an equation here:https://brainly.com/question/30842552
#SPJ12
What is the slope of the graph of the linear function shown on the grid?
A. Slope = 1/3
B. Slope = -1/3
C. Slope = -3
D. Slope = 3
Answer:
B Slope = -1/3
Step-by-step explanation:
you are going down 1 and right 3
when you go down it becomes a negative so vice versa up would be positive
when you go right it becomes positive so when you go left it would be negative
A bag contains ten strawberry Starbursts and seven blue raspberry Jolly Ranchers. You randomly draw one, then you put it back in the bag because you didn't like what you chose and draw another.
Choose your answers from the Work Bank.
1) Is this event dependent or independent?
2) Probability of picking a Starburst First:
3) Probability of picking a Jolly Rancher Second:
4) Probability of picking a Starburst First and a Jolly Rancher Second:
Answer:
dasifgepfisubpuibpiuepc
Step-by-step explanation:
What unit is used to measure the attribute under investigation?
A.) Ages
B.) Years
C.) Family Reunion
D.) Number of people
Answer:
A). Ages
Step-by-step explanation:
The bar chart presents the number of people who are of different ages at a family reunion.
The attribute being measured is the age as can be seen on the horizontal axis of the bar chart.
The correct option is A.
Six words have 2 vowels and 2 consonants .How many letters are there in 6 words?How many vowels consonants
Answer:
24, 12, 12
Step-by-step explanation:
I do not understand the question, but I believe you gave us how many vowels and consonants are in a word. Then you asked us for how many of them were in 6 words, which is simple math of 4 times 6. I don't get the last part, but I think you asked how many consonants in 6 words, and how many vowels in six words, another simple math question, 2 times 6.
In the English language, 5 letters are typically considered vowels: a, e, i, o, and u, with 2 additional letters, y, and w, that can sometimes act as vowels or consonants depending on their position in a word. To find out how many vowels and consonants there are in six words, we need more information about the specific six words.
Explanation:In the English language, 5 letters are typically considered vowels: a, e, i, o, and u. However, there are 2 additional letters, y, and w, that can sometimes act as vowels or consonants depending on their position in a word.
To find out how many vowels and consonants there are in six words, we need more information about the specific six words. If each of the six words has 2 vowels and 2 consonants, then the total number of letters in the six words would be 6 x (2 + 2) = 24.
x2 = 169 Explain the first step in solving this equation.
Answer:
so i divide 169 divided by 2
Step-by-step explanation:
well what i do is that i do a inverted T
x2I=169
then i look to see what is the opposite of multiplying which is dividing
so i divide 169 divided by 2
which will give me an answer
Answer:
13,-13
Step-by-step explanation:
*I Think you meant x²=169
so the first step is to square root both sides so
[tex]\sqrt{x^2}= \sqrt{169}[/tex] So
x=±13 or
13,-13
Convert 253 into a hexidecimal
Answer:
0xFD
Step-by-step explanation:
To convert 253 into hexadecimal, divide the number by 16 repeatedly and record the remainders.
Explanation:To convert 253 into hexadecimal, you need to divide the number by 16 repeatedly and record the remainders. The most significant digit of the hexadecimal representation will be the last remainder obtained. So, let's proceed:
253 divided by 16 is 15 with a remainder of 13 (D in hexadecimal).15 divided by 16 is 0 with a remainder of 15 (F in hexadecimal).Therefore, 253 in hexadecimal is DF.
Joe wants to buy a skateboard but he doesn't know if he has enough money. The price of the skateboard is $85 and the sales tax is 6%. What will be the total cost of the skateboard?
Answer:
$90.10
Step-by-step explanation:
price of the skateboard = $85
sales tax = 6%
Dollar value of sales tax = 6% of price of the skateboard
= 6% of $85 = (6/100) * $85 = ( 6* 85)/100 = $ 5.10
Total cost of the skateboard = price of the skateboard + sales tax value
substituting the value of price of the skateboard and sales tax value, calculated above, we have
Total cost of the skateboard = $85 + $ 5.10 = $90.10
If a= 0,0 and b=8,2, what is the length of ab
We are planning a reception for our daughter. The hall that we are renting charges a $50 cleanup fee. In addition to the cleanup fee, they charge $33 per guest for food and drinks.
If we have $3,300.00 available, what is the maximum number of guest we can invite without going over our budget?
Answer:
98 guests
Step-by-step explanation:
First, you would take the amount of money available, $3,300.00, and subtract the cleanup fee ($50) from that.
You would get $3,250
Next, you divide $3,250 by the amount of money per guest ($33).
Your total is 98.48 repeated
That rounds to 98 people, since you can't go over.
Hope this helps you!
The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the width of the rectangle in inches, which equation can be used to find its value? x + 6 + 2x = 28 6x + 6x + x + x = 28 2(x + 6) = 28 2(x + 6) + 2x = 28
Answer:
x = 8
Step-by-step explanation:
28 = 2(x + 6)
28 = 2x + 12
28 - 12 = 2x
16 = 2x
16/2 = x
8 = x
x = 8
Answer:
D. 2(x + 6) + 2x = 28
Consider the tables.
Which table shows input and output values that represent a cubic function?
Table B
Table A
Table D
Table C
Answer:
Table C
Step-by-step explanation:
The input and output values represent a cubic function because you find the 3rd differences between the outputs and they are both -640
4(6p+9y)
Can some one plz help me with this than when u are done with the first question do the second one plz ill give u 35 points but has to be a real correct answer.
The second question is
-5(4s+5k)
Answer:
Step-by-step explanation:
Question 1:
Distribute 4
4 times 6p is 24p
4 times 9y is 36y
Answer: 24p+36
Question 2:
Distribute -5
-5 times 4s is -20s
-5 times 5k is -25k
Answer: -20s-25k
Jessie ran 4 miles in 1 hour. How long did it take Jessie to run one mile? *
Answer:
15 mins
Step-by-step explanation:
4 miles : 1 hour
1 mile : x hours
x/1 = 1/4
x = ¼ hours
¼ hours = ¼ × 60 = 15 mins
Answer: 15 minutes
Step-by-step explanation: 1 hour is 60 minutes, 60 minutes divided by the 4 miles will give you 15 minutes.
Use the discriminant to determine the number of real solutions for the equation below.
x^2+ 2x + 1 = 0
Answer:
there is one real solution
Step-by-step explanation:
use the quadratic formula. what is in the square root is called the discriminant.
since it came out to 0 there is one real solution
Is this relation a function? Justify your answer.
Answer:
Step-by-step explanation:
B is the answer
for the same x you could not have diferent y
2(x+3)-3x+x-6=7x-14
Solve for X
Answer:
2
Step-by-step explanation:
2(x+3)-3x+x-6=7x-14
Expand parentheses:
2x+6-3x+x-6=7x-14
Combine like terms:
0=7x-14
Add 14 to both sides:
7x=14
Divide both sides by 7:
x=2
Hope this helps!
Select the two values of x that are roots of this equation x2+3x-3=0
Answer:
x= (-3i-√3)/2
x= (3i+√3)/2
Step-by-step explanation:
you have to use the quadratic formula which is (-b±√b^2+4ac)/2(a)
a=1
b=3
c= -3
when you plug the numbers into the formula, you get a negative in the square root, so you have to bring out an Imaginary number which is i and connect it with your -b value.
in this case, you only have to switch out the plus and the minus strictly because of the imaginary number
Solve (work please)
-2a + 1.6 = 5.6
how do i graph this ?
Answer:
add 3 so you get y=-4(x-1)+3 then plot the verticie at 1,3 then graph the slope of -4
Step-by-step explanation:
Answer:
I think this is it
Step-by-step explanation:
Help me im stuck answer correctly
Answer:
23 1/24
Step-by-step explanation:
70 1/3 minus 24 1/4 divided by 2
Multiplying Any Number by a
Positive will get you a Positive
Answer?
Answer:
As long as you don’t multiply a negative number either positive number then it’s negative
Step-by-step explanation:
Negative times Negative= Positive
Positive times Positive=Positive
Negative times Positive= Negative
Positive times Negative= Negative
Step-by-step explanation:
(-) × (-) = +
(-) × (+) = -
(+) × (+) = +
(+) × (-) = -