Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =[tex]\mu = 500[/tex]
Standard deviation = [tex]\sigma = 100[/tex]
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
At x = 450
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
calculate the perimeter
Answer:
Its 58 centimeters
Step-by-step explanation:
Brainliest to right answer
Answer:
The answer is 15.
Step-by-step explanation:
Given triangle MAT is an isosceles triangle and point H is the midpoint if MT. Prove triangle MHA is congruent to triangle THA
Answer:
There is everything in the image
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.
A triangle MAT is an isosceles triangle and point H is the midpoint of MT.
In triangle ΔMHA and ΔTHA, we have
AH = AH (Common sides)
MH = HT (H is the midpoint of MT)
∠AMH = ∠ATH (Isosceles angles)
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
More about the triangle link is given below.
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writing an equation and drawing its graph to model a real-world situation
Answer:
A = B + 15
Step-by-step explanation:
Let Diane sold B books in one hour,
Additional earning by selling 1 book = 1$
Additional earning by selling B books = Number of books sold × Additional earning by selling one book
= B × ($1.00)
= $B
Fixed earning of Diane in one hour of part time = $15
Total earnings = B + 15
A = B + 15
Table to find the input-output values for the graph,
A 15 16 17 18
B 0 1 2 3
Now we can plot the points on the graph.
Liz is taking guitar lessons and practices every night. Yesterday, she played a total of 40 chords in 8 minutes. Today she will play chords for 5 minutes. If she plays at the same rate, how many chords will Liz play today?
Answer:the answer is 25
Step-by-step explanation:
40 divided by 8 = (chords played per minute)
5 times (chords played per minute and you get your answer
Liz will play a total of 25 chords in 5 minutes today which is determined by the ratio.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that Liz played a total of 40 chords in 8 minutes.
Let's assume she plays a total of x chords in 5 minutes.
According to the given question, we can write the ratio as:
40 chords : 8 minutes = x chords : 5 minutes
⇒ 40 / 8 = x / 5
Apply the cross-multiplication operation,
⇒ 8x = 40 × 5
Apply the multiplication operation,
⇒ 8x = 200
⇒ x = 200/8
Apply the division operation to get the answer
⇒ x = 25
Therefore, she will play a total of 25 chords in 5 minutes.
Learn more about the Ratio here:
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Can someone tell me if 180 is correct????
Answer:
Yes, you are correct.
Step-by-step explanation:
Feel free to give brainliest.
Have an amazing day!
a package of marbles contains 20 blue marbles, 38 red marbles, 48 green marbles, and 16 yellow marbles. which color of marbles can be divided evenly between 6 people?
the answer would be 48 green marbles
Step-by-step explanation:
48/6=8
So, each person would get 8 marbles each
covent 13/10 to a mixed number
Answer:
1 whole number 3/10. Above is the answer
(10 points)determine which one is an right angle
Answer:
Number 7.
since it makes an L shape, and has a 90° angle
Which of the following shows the best communicative property of addition ?
4+5=4-(-5)
4+5=9
4+5=5+4
4+5=4+(2+3)
Answer:
In the given options, 4+5 = 5+4 shows the best commutative property.
Step-by-step explanation:
One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.
Commutative property can be applied on addition, subtraction and multiplication.
Commutative property of Addition:
Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a
In the given options, 4+5 = 5+4 shows the best commutative property.
Graph this line using the slope and y-intercept:
y= 1/8x + 9
Click to select points on the graph.
Answer:
Select (0, 9) and (8, 10)
Step-by-step explanation:
Helpppppppppppppp plzzzzzzz helpppppp
Sixty-four percent of those that use drive through services believe that the employees are at least somewhat rude. If you asked 87 people who use drive through services if they believe that the employees are at least somewhat rude, what is the probability that at most 60 say yes?
a. 0.860
b. 0.802
c. 0.057
d. 0.198
Answer:
The answer to this question would normally be, 85.96%, though that isnt an answer choice so the closest thing to it would most likely be answer choice A.
Using the binomial approximation to the normal, it is found that:
0.86 probability that at most 60 say yes, given by option a.
------------------------
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value is:
[tex]E(X) = np[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
----------------------------
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. Each z-score has a corresponding p-value.The p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.The probability that the measure is greater than X is 1 subtracted by the p-value.When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex], if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].
----------------------------
64% use services, thus, [tex]p = 0.64[/tex]87 people are sampled, thus, [tex]n = 87[/tex]The mean and standard deviation are given by:
[tex]\mu = E(X) = np = 87(0.64) = 55.68[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{87(0.64)(0.36)} = 4.4771[/tex]
Using continuity correction, the probability that at most 60 use is [tex]P(X \leq 60 + 0.5) = P(X \leq 60.5)[/tex], which is the p-value of Z when X = 60.5, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60.5 - 55.68}{4.4771}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a p-value of 0.86.
Thus, 0.86 probability that at most 60 say yes, given by option a.
A similar problem is given at https://brainly.com/question/16178115
YALLL PLEASE HELP ME I WILL MARK BRANLIEST IF CORRECT PLEASE HELP!!!!!!!!
Write an equation in point slope form for the line that goes through the point (2,3) and has a slope of 4.
Answer:
y=4x-5
Step-by-step explanation:
y=Mx+b
y=4x+b
3=4(2)+b
3=(8)+b
-5=b
At Mr. Mcneely's farm there were 75 sheep in 60 cows what is the ratio of the number of cows to the number of sheep at Mr. Mcneilly farm
Answer:
5/4
Step-by-step explanation:
What is the square root of 153 divided by 13
plz help me fast
Answer:
About 0.95
Step-by-step explanation:
Answer:
0.9514859136
Step-by-step explanation: I use calculator lol
on a piece of paper graph y+2> -3x-3
Answer:
D
Step-by-step explanation:
BRAINLIEST PLS
A certain fish grows so that after t years of life its length is given by L(t) = 9 − 1/5t inches. Calculate the average rate of growth over the first year of life.
Answer:
Step-by-step explanation:
Given the length of a fish after t years modeled by the equation
L(t) = 9 − 1/5t
The average rate of growth is expressed as;
dL/dt = -1/5 (differential of a constant is zero)
Hence the average rate of growth over the first year of life is -1/5 in/year
please help can yall solve this
Mark makes a 4.5% commission on all electronics at RC Willey's how much did he make
this month by selling $8,000 in electronics?
Solve Algebraically 2^3-x=565
x = 3 − log 565/ log 2 = − 6.142107057
Step-by-step explanation:
2^3-x =565
Log 2^3-x = log 565
(3-x) times log 2 = log 565
3 − x = log 565 / log 2
3 − log 565 / log 2 = x
x = 3 − log 565/ log 2 = − 6.142107057
Answer:
x = -557
Step-by-step explanation:
2^3 is 2x2x2 which equals 8. 8 - x = 565. Move the constant to the right-hand side and change its sign. -x = 565 - 8. This is 557. Now change the negative sign on the x to a positive and the positive sign on the 557 to a negative. x= -557.
Lock #1 Answer the question below to UNLOCK the next room. (TYPE THE WORD: ALL
CAPS)
LOCK #1
Answer the question below to UNLOCK the
next room. (TYPE THE WORD; ALL
CAPS)
What is the coefficient in front of a variable
by itself?
Your answer
O Try Again!
Answer:
UNLOCK
UNLOCK
A normal number
Answer:The answer is ONE
Step-by-step explanation:
I know the sum of positive and negative numbers will be positive when
I know the sum of positive and negative numbers will be negative when
ANSWER BOTH QUICK
Answer:
When the positive number is greater than the negative number
Step-by-step explanation:
-6 + 7 =1 because -6 + 6 + 0 then you add 1.
Answer:
1. there are to negatives or two positives
2. there is one positive and one negative
There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18
odd-numbered outcomes. What's the probability of spinning an odd number?
• Express your answer as a fraction.
Answer:
9/19
Step-by-step explanation:
just put the total odd numbers, 18, over the total outcomes, 38, and divide them and simplify
Answer:
9/19
Step-by-step explanation:
HELP MEE I DONT UNDERSTAND THIS IM DOING A CHRISTMAS SURVEY TO GET FREE COINS AND THIS IS A QUESTION TY IF YOU ANSWER
I’m rly confused pls help
Answer:
A
Step-by-step explanation:
12x 5/2= 60/2= 30
3x5/2=15/2=7.5
7.5 by 30
There are 324 stitches sewn on 3 basketballs. Which equation finds the number of stitches, n, sewn on 1 basketball?
Answer: 108 stitches sewn on 1 basket ball
Step-by-step explanation:
324 divided by 3 would give you 108
Answer:
324/3=16
Step-by-step explanation:
324 divided by 3= 16
Charlie's art class is 8 hours long. How long is his class in minutes?
Answer:
480 minutes
Step-by-step explanation:
60 minutes = 1 hr
60 x 8 = 480
480 minutes = 8 hrs
Doug rents a kayak for 12 days. The rental charge is $18 per day. Which is the
best estimate for the total cost of the kayak rental?
Answer:
Yes
Step-by-step explanation:
Suppose a population grows according to a logistic model with initial population 1000 and carrying capacity 10,000. If the population grows to 2500 after one year, what will the population be after another three years?
Answer:
7500
Step-by-step explanation:
1 year= 2500
3 years= x
So we got
2500 × 3 = 7500
The population after another three years will be 15,625.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
Assume a populace becomes as per a strategic model with starting populace of 1,000 and conveying limit of 10,000.
If the population grows to 2500 after one year. Then the increasing factor is given as,
b = 2,500 / 1,000
b = 2.5
Then the equation is given as,
y = 1,000 × (2.5)ˣ
Then the population after another three years will be given as,
y = 1,000 × (2.5)³
y = 1,000 × 15.625
y = 15,625
The population after another three years will be 15,625.
More about the exponent link is given below.
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