Answer:
0.6832 = 68.32% probability that a given student will complete the test in more than 35 minutes but less than 43 minutes
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal 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. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 41.0 minutes and a variance of 3.4 minutes.
This means that [tex]\mu = 41, \sigma = 3.4[/tex]
What is the probability, rounded to four decimal places, that a given student will complete the test in more than 35 minutes but less than 43 minutes?
This is the p-value of Z when X = 43 subtracted by the p-value of Z when X = 35.
X = 43
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{43 - 41}{3.4}[/tex]
[tex]Z = 0.59[/tex]
[tex]Z = 0.59[/tex] has a p-value of 0.7224
X = 35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 41}{3.4}[/tex]
[tex]Z = -1.76[/tex]
[tex]Z = -1.76[/tex] has a p-value of 0.0392
0.7224 - 0.0392 = 0.6832
0.6832 = 68.32% probability that a given student will complete the test in more than 35 minutes but less than 43 minutes
What would the answer be for this equation? 3a^3b^2x2a^2b^5
9514 1404 393
Answer:
6a^5b^7
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
It looks like you want to simplify ...
[tex]3a^3b^2\times 2a^2b^5=(3\cdot2)a^{3+2}b^{2+5}=\boxed{6a^5b^7}[/tex]
Answer:
6a^5b^7
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
What is the median of this set of data?
Enter an equation that represents the data in the table.
x 3 5 8 10
y 15 25 40 50
An equation is y
Answer:
y=5x
Step-by-step explanation:
3 x 5
5 x 5 and so forth
Danika bought a kit to build a scale model of a lighthouse. The scale of the model is 1 /2 inch = 4 feet. The real lighthouse is 75 feet tall. How tall will the model lighthouse bee ?
Answer:
18.75 or 18 and 3/4
Step-by-step explanation:
I did this btw
ILL GIVE BRAINLIST I ONLY HAVE 1O MINUTES
Describe how changing each part of y=a/x−b+c changes the graph
a:
b:
c:
Answer:
Step-by-step explanation:
I am sorry that I might not be able help you, just try and sound smart while saying if u change a then the value of a/x would change, thus changing everything because the fraction in which you are using in this situation would be different. And for b be like the difference between the numbers would be different and c the product. Idek if this is what the question is asking. lol
Aaron has a 28.7 m length of rope. He uses 6.7 m of the rope
to make a rope ladder for a playground. He cuts the remaining
rope into 2 equal pieces to make tire swings. How long is each
tire swing rope?
Answer:
first step is to minus 28.7 - 6.7=22 (I did the minus because I want to get the remaining length of the rope )
step 2 : is to divide 22 by 2 (because the question said they should divide it into two pieces )
then the answer you get from the division of 22/2 which is 11 that would be the final answer
meaning each tire swing is 11m
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
B
Step-by-step explanation:
You don't even have to do complicated the math as the numbers are complicated for a reason. Round 1.99 to 2 and 1.83 to 1. and the answer is 5.4, which is closest to answer B.
10 POINTS PLZZZ!!!
The weight of newborn babies follows a normal distribution with the mean of 7 pounds with a standard deviation of about 1 pound.
What percent of the babies born weigh 7 pounds or less?
If a newborn baby weighs 6 pounds what percentile is he in for weight?
A newborn baby weighs exactly 8 pounds. What percentile is he in for weight?
68 percent of babies born weigh between ___and ____ ?
What is the standard score or Z score for a weight of 7.5 pounds?
What are the solutions to the equation x2 + bx+c=0?
Answer:
Find the complex solutions using the quadratic formula.
x
=
−
b
−
√
b
2
−
4
c
2
x
=
−
b
+
√
b
2
−
4
c
2
Step-by-step explanation:
What is the interval of convergence for the power series the summation from n equals 1 to infinity of the product of negative n factorial and x to the nth power
Answer:
∞ and n = 1
Step-by-step explanation:
The interval of convergence for the power series :
= ∞ and n = 1
summation of the product of negative n factorial and x^n = ∑ -n! * xⁿ
Interval : ∞ , n = 1
And the test that can be carried out here to test for the convergence or divergence of the power series is called Integral test
I think it’s the third one
Answer:
answer s the second one
Step-by-step explanation:
Trust me it's the correct answer
5x2 + 4
Algebra 2 PLEASE HELP
If a population grows by 90%, what is the multiplier?
If the answer is a decimal, round to the nearest thousandth
Answer:
1.9 is the multiplier.
Step-by-step explanation:
I picked a random number (6) and times it by .90. Then, I added my result to 6. I then divided six by my result to get the multiplier.
PLEASE HELP FAST!!! **20 POINTS**
Answer: constant of proportionately is 0.66 repeating. (I think)
STOP BEING SO POOOR POOR PEOPLE
Answer:
Its not a choice its a life style bubs #peasantpower
Help me for 28 points
Pls help me I don’t get it
Answer: C
Step-by-step explanation: Hope this help :D
Answer:
A. 30cm, 73.3cm
Step-by-step explanation:
Circumference of a circle = 2πr
60π=2πr
r=60/2=30
Radius is 30cm
Arc length = 2πr(θ/360) = 2π(30)(140/360) = 73.3038285838
Arc length is 73.3cm
Whích two of the following expressions is equivalent
simplify: 3 4/7× 2 2/5 × 1 3/4
Answer:
15
Step-by-step explanatio
Convert to standard form. 4 hundred thousand 16 thousands 4 hundred 21 tens 12 ones
Step-by-step explanation:
what is the probability
Answer:
Probability in Maths:-
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
Formula for Probability:-
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes
Probability refers to a possibility that deals with the occurrence of random events also can be state as all the events occurring need to be 1.
What is the Probability in Maths?Probability means possibility. This is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.It has been introduced in Maths to predict how likely events are to happen.
Formula for Probability:-
This can be defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
Here Probability of event to happen can be written as;
P(E) = Number of favourable outcomes/Total Number of outcomes
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
can u please help me
Answer:
a) 0.15
b) 0.45
c) 0.16
Step-by-step explanation:
a)
The total probability will add up to 1, so the probability of getting a rat = 1 - 0.35 - 0.4 - 0.1 = 0.15
b)
Probability of cat: 0.35
Probability of hamster: 0.1
Probability of cat or hamster: 0.35+0.1 = 0.45
c)
The probability for getting card out of deck 1: 0.4
The probability for getting card out of deck 1: 0.4
Probability of both: 0.4*0.4 = 0.16
Which expression is equivalent to 1/4 + 3 - 1/3x + (-2)
Answer:
5/4 + -x/3
Step-by-step explanation:
Operations on how to solve this problem:
1. Multiply the numbers.
2. Combine multiplied terms into a single fraction
3. Add the numbers
(To guide you to the answer, look at the file I uploaded)
Exam
Find the area of the circle.
Use 3.14 for an. Do not round your answer.
Hint: A = ttr2
Area = [?] inches
16 inches
Enter the number that
belongs in the green box.
Answer:
200.96
Step-by-step explanation:
Help is need please???
Answer:
it expands 2230 people each year
Step-by-step explanation:
Find the slope of the line
Answer:
4/5
Step-by-step explanation:
y2-y1/x2-x1. (5,3), (0,-1).
-1-3/0-5.
-4/-5
4/5
Therefore, slope=4/5
If this helps please mark as brainliest
Answer:
4/5
Step-by-step explanation:
Pick a point and call that A; the other point is B.
Take the Y part of B (the second number in the pair) and subtract the Y part of A.
3 - -1 = 4
Then, do the same thing but with the X (the first number in the pair)
so take the X part of B and subtract the X part of A.
5 - 0 = 5
and then put the 4 over the 5to get 4/5.
The Student Council at Longhorn Middle School wants to petition the principal to begin school at 9 A.M., which is one hour later than the current start time, 8 A.M. To support their petition, the Student Council conducts a survey to determine students’ preferred start time. Describe a surveying method the Student Council can use to obtain a representative sample.
Answer:
A petition
Step-by-step explanation:
Not much to explain, get people to add signatures then show the school
Can someone please simplify 1.50 for me please
Answer:
1
Step-by-step explanation:
1.5^0 = 1
Any number to the zero power is equal to 1
Answer:
50 is already in the simplest form
Step-by-step explanation:
Steps to simplifying fractions
Divide both the numerator and denominator by the GCD
1 ÷ 1
50 ÷ 1
Reduced fraction:
1
50
Therefore, 1/50 simplified to lowest terms is 1/50.
Emily has 4 1/2 cups of chocolate chips. Her cookie recipe requires 3/4 cup of chocolate chips. How many batches of cookies can Emily make?
Answer:
There are 6 batches of chocolate chip cookies that can be made.
Step-by-step explanation:
First, turn 4 1/2 cups into an improper fraction with a denominator of 4 (which is 18/4). Then, do 18/4 divided by 3/4 (or 18/4 times 4/3 and both 4s cancel). The result is 18/3 or 6 because 3 times 6 equals 18.
QUE
QUESTIONI
If 10% of a number is 200, what is 25% of the number
Answer: 25% of 200 = 50
Step-by-step explanation
Answer:
25%of 200 is 50
Step-by-step explanation:
use a calculator
Find unit rate round to nearest hundredth if necessary.
Brainliest
Please don’t put any files I cannot download them. Therefore I cannot accept files please and thank you.
Answer:
Step-by-step explanation:
0.57 . im guessing