Answer:
The probability that the lacrosse goalie will make at least 10 saves is 0.558.
Step-by-step explanation:
Let X denote the number of saves the lacrosse goalie will successfully make.
It is provided that the probability of the lacrosse goalie making a successfully save is, p = 0.80.
It is assumed that all save attempts are independent.
Suppose that the lacrosse goalie attempts to make n = 12 saves.
The random variable X follows a binomial distribution with parameters n = 12 and p = 0.80.
Compute the probability that the lacrosse goalie will make at least 10 saves as follows:
[tex]P(X\geq10 )=P(X=10)+P(X=11)+P(X=12)[/tex]
[tex]={12\choose 10}(0.80)^{10}(0.20)^{2}+{12\choose 11}(0.80)^{11}(0.20)^{1}+{12\choose 12}(0.80)^{12}(0.20)^{0}\\\\=0.2835+0.2062+0.0687\\\\=0.5584\\\\\approx 0.558[/tex]
Thus, the probability that the lacrosse goalie will make at least 10 saves is 0.558.
A man earned wages of $36,300, received $2200 in interest from a savings account, and contributed $2700 to a tax-deferred retirement plan. He was entitled to a personal exemption of $4050 and a standard deduction of S6300. The interest on his home mortgage was $7800, he contributed $2900 to charity, and he paid $1750 in
state taxes. Find his gross income, adjusted gross income, and taxable income Base the taxable income on the greater of a standard deduction or an itemized
deduction
Answer:
Gross income = $38500
Adjusted gross income = $35800
Taxable income = $13000
Step-by-step explanation:
1. Gross income = wages + interest received
Gross income = $36,300 + $2200
Gross income = $38500
2. Adjusted gross income = Gross income - adjustments
Adjusted gross income = $38500 - $2700
Adjusted gross income = $35800
3. Taxable income = adjusted income - (exemption + deductions)
Taxable income = $35800 - ($4050 + $6300 + $7800 + $2900 + $1750)
Taxable income = $35800 - $22800
Taxable income = $13000
Please help! I’m terrible at math. You have a box that is 2 by 3 by 5. How many cubes does it hold? How do I figure out the answer?
Answer:
38 cubes
Step-by-step explanation:
The volume is calculated by multiplying the length x width x height. So the volume of this box is 30 cm3.
Assuming the cube is 1 x 1 x 1 (volume= 1cm3), then 30 cubes would be able to fit into the box. (30/1 = 30)
However, if the cube is 2x2x2, it would be able to fit 8 cubes.
Fill in the blank. The critical value tα/2 that corresponds to a ________% confidence level with 1000 degrees of freedom is 2.33.
Answer:
The critical value tα/2 that corresponds to a 98% confidence level with 1000 degrees of freedom is 2.33.
Step-by-step explanation:
From the question we are told that
The critical value is [tex]t_{\frac{\alpha }{2} } = 2.33[/tex]
From the student's t distribution table the probability of [tex]( t > 2.33)[/tex] at a degree of freedom of 1000 is
[tex]\frac{\alpha }{2} = (t > 2.33 ) = 0.01[/tex]
Hence the level of significance is mathematically evaluated as
[tex]\alpha = 2 * 0.01[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally the confidence level is mathematically represented as
[tex]C = 1- \alpha[/tex]
=> [tex]C = 1- 0.02[/tex]
=> [tex]C = 0.98[/tex]
Converting to percentage
=> [tex]C = 0.98 * 100[/tex]
=> [tex]C = 98\%[/tex]
Using the diagram to find the value of x.
Answer:
x i a 90 degree anglt
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Sum of all angles = 360°
85° + x + 35° + 2x = 360°
3x + 120° = 360°
3x = 360° - 120°
3x = 240°
x = 80°
what is 2/3 divided by 1/2?
Answer:
4/3
Step-by-step explanation
When dividing fractions you flip the secod fraction then multipy.
Hope this helps :)
HELP FOR THE TRUE/FALSE
Answer:
True, eating cooked vegetables provides more nutrients than eating raw vegetables.
Answer:
1. false 2.true 3. true 4.true 5.true
Step-by-step explanation:
2y+1<7 answer that question
Answer:
y < 3
Step-by-step explanation:
2y + 1 < 7
~Subtract 1 to both sides
2y < 6
~Divide 2 to both sides
y < 3
Best of Luck!
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per
hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per
week. His goal is to make at least $300 per week.
1. Create a system of equations or inequalities that models the situation. Define the variable you use
Answer:
15x20/300
Step-by-step explanation:
you multiply 15 and 20 then didvide that answer to 300
These are the points (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.
Let ;
The hour spent in mow lawns is represent by x,
And represent the hour spent for gardening by y.
According to the question;
He charges $15 per hour to work mow lawns .
And $20 per hour to gardening .
Total no. of hours allowed to work = 20 hours per week
Then the inequality to represent the cost constraint will be,
15x+20y ≥ 300
Since,
He cannot work for more than 15 hours per week, the inequality to represent the time constraint will be,
x + y ≤ 20
On solving the inequalities,
15(20-y) + 20y = 300
300 - 15y + 20y = 300
5y= 0
y = 0
For value of x put y = 0
x + 0 = 20
It states if he work only in mows law for 20 hours he can earn $15 =(15)(20) =$300
All pairs of positive numbers whose sum is less than 20, are solutions to the given system of inequalities.
A pair of negative numbers will also solve both constraints, but is not applicable in this situation because a student, cannot work for negative hours, or for a negative amount of money.
So, (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.
For more information about system of inequalities click the link given below.
https://brainly.in/question/32858820
plz answer!!!! Ill give brainly to first RIGHT person!!!!!
Answer:
D
Step-by-step explanation:
If it was 2/4, percent is 50% greater than 0, but less than 100
2/4 decimal 0.5 between 0 and 1
Does this graph represent a function? Why or why not? A. No, because it is not a curve. B. No, because it fails the vertical line test. C. Yes, because it passes the vertical line test. D. Yes, because it has two straight lines.
Answer:
I think it is because it passes the vertical line test. or b
Step-by-step explanation:
A point has a positive x-coordinate and a positive y-coordinate. Which coordinate is it in?
A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4
Answer: A. Quadrant 1
Step-by-step explanation: Quadrant 1 is for if both x and y values are positive.
Answer:
B quadrant 2
Step-by-step explanation:
Not sure though
please help me with this math
What is the name for the smallest multiple that two whole numbers share?
A
greatest common factor
B.
infinite multiple
с
least common multiple
D
prime factor
Answer:
C. least common multiple
8. Nineteen out of
twenty people are
born right-handed.
What is this ratio as a
decimal?
oskjdkeowjbsndkwowjhdnekowu
Answer:
heifefhdhduhvndbaiuhdlfd
Step-by-step explanation:
Select the correct answer.
Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?
A.
75 miles/hour
B.
80 miles/hour
C.
85 miles/hour
D.
90 miles/hour
Answer:
B.
Explanation:
If you divide 680 by 8 you can get 80 miles/hour
Hope this helps ;)
Answer:
Answer : C
Step-by-step explanation: If u divide 680 by 8 you will get 85 miles per hour if u don't believe me look it up
hope it help :)
Which one is greater less than and or equal to?
Answer:
a greater than
b equal to
C equal to
d greater than
PLEASE HELP ASAP WILL GIVE BRAINLISET ANSWER TO FIRST
Answer: I say 12.5 miles
Step-by-step explanation:
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
Answer:
there is no slope
Step-by-step explanation:
there is no graph or points sooooooo
Answer this to get brainliest
Goodluck!! (●'◡'●)
People come visit me but rarely stay long. I can be clean but am often very dirty. People usually reveal to me a part of them that they rarely show others. What am I?
Answer:
private part
Step-by-step explanation:
Solve for x:
6 + x = 6(1 + 7x)
Help please he sure that you are correct find the coordinates that’s it tysm will mark brainiest
Answer:
(1, 0)
Step-by-step explanation:
1/3 means rise over run. Up one is Y=0, three over is +1 for the x coordinate.
The cost of a monthly cell phone plan is represented by the expression 0.35m+55, where mis
the number of text messages sent.
What could the 55 represent?
Karie's dog weighs 18 pounds. How many ounces does the dog weigh?
Answer:
288 ounces
Step-by-step explanation:
Answer:
288 oz.
Step-by-step explanation:
According to Google.. I hope this helps you. Have a wonderful day/night. :3
A system of linear equations is given by these equations 3y-2x=9 and y=-2x+5
Answer:
It would be (3/4,7/2).
parallelogram ABCD has the following vertices A(0,8) B(8,4) C(2,-8) D(-6,-4) is parallelogram ABCD a rectangle, and why
Answer:
Yes, because BC is perpendicular to AB, and ABCD is a parallelgram.
Yes the parallelogram is a rectangle.
What is distance formula?The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]
Given:
ABCD is parallelogram, so its opposite sides are equal in length.
i.e., AB= CD and AD= BC
Now,
d=√(8−0)²+(4−8)
d=√(8)²+(−4)²
d=√64+16
d=√80
d=√(−6−2)²+(−4−(−8))²
d=√(−8)²+(4)²
d=√64+16
d=√80
so, AB = CD
Similarly, AD= BC = √180
Hence, a quadrilateral whose opposite side are equal called as rectangle.
Learn more about this concept here:
https://brainly.com/question/15265150
#SPJ2
The sum of two integers is 9. Their difference is 5.
What are the two integers?
A 7 and 12
B-7 and 16
C -12 and -7
D 2 and 7
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Look :
[tex]7 + 2 = 9[/tex]
[tex]7 - 2 = 5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Describe how to model two digit by two digit multiplication using an area model
Answer:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 Multi-Digit Whole Number and Decimal Fraction Operations.
Step-by-step explanation:
can i have brainliest plz :)
NEED HELP WITH MATH! Will Give brainliest! Picture of problem is below
Answer:
when the leading coefficient is negative it will affect the right and left side to also be negative
Step-by-step explanation:
2x + 4 = -8 X= ? Me need help .
Answer:
x = -6
Step-by-step explanation:
2x + 4 = -8
Subtract 4 from both sides, -8 - 4 is -12
2x = -12
Divide 2 from both sides
x = -6
