Answer:
Donald
Step-by-step explanation:
Given that :
BRUCE :
score (x) = 500
League average (m) = 620
Standard deviation (σ) = 20
DONALD:
score (x) = 520
League average (m) = 625
Standard deviation (σ) = 25
Take standardized score of both Bruce and Donald
BRUCE:
Zscore = (x - m) / σ
Zscore = (500 - 620) / 20
Zscore = - 120 / 20
Zscore = - 6
DONALD:
Zscore = (x - m) / σ
Zscore = (520 - 625) / 25
Zscore = - 105 / 25
Zscore = - 4.2
Bruce's standardized score is lesser Than Donald's. Hence,
Donald has a higher three-game series score ;
Evaluate the expresions -8-14÷2+5
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.
Answer:
0.3264
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where
x is the raw score,
μ is the population mean,
σ is the population standard deviation.
(x-μ) = 3.6 mm
σ = √variance = √64 = 8mm
z = 3.6/8
z = 0.45
Using the Probability table
P(x<Z) = 0.67364
P(x>Z) = 1 - P(x<Z)
1 - 0.67364
= 0.32636
Approximately = 0.3264
|x |-8= -5
what's the answer
Answer:
|x |-7 = -5 ( x = -3 )
Step-by-step explanation:
Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of sleep. What is the percent increase in the number of hours that the student will sleep? Round your answer to the nearest whole percent.
Answer:
52%
Step-by-step explanation:
Number of hours of sleep a student gets = 5.28hrs
A teacher wants the student to get = 8hrs of sleep
Unknown:
Percentage increase in the number of hours the student will sleep = ?
Solution:
Percentage increase = [tex]\frac{New sleep hours - former sleep hours}{former sleep hours}[/tex] x 100
Percentage increase = [tex]\frac{8 - 5.28}{5.28}[/tex] x 100 = 51.5%
Percentage increase = 52%
2.4 x 0.87 help help help
Answer:
2.088
Step-by-step explanation:
Trust me I am in high school honors algebra with almost an average of 100.
The product of 2.4 x 0.87 is 2.088.
What is a decimal ?A decimal is represented by a dot which separates the whole part and the fractional part of a number.
According to the given question we have to multiply two decimals numbers 2.4 and 0.87.
Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.
So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.
learn more about decimals here :
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Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.
Answer:b
Step-by-step explanation:
HELP!!!!!!!
What is 2 8/10 + (-3.5) in decimal form
Answer: -0.7
Step-by-step explanation:
A small town has two local high schools. High School A currently has 750 students
and is projected to grow by 75 students each year. High School B currently has 900
students and is projected to grow by 25 students each year. Let A represent the
number of students in High School A in t years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine how many students would be in each high school in the year they
are projected to have the same number of students.
Ok
Answer:
A=750 +75*t
B=900 +25*t
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Step-by-step explanation:
You know that High School A currently has 750 students and is projected to grow by 75 students each year. With A being the number of students in High School A in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:
A=750 +75*t
You know that High School B currently has 900 students and is projected to grow by 25 students each year. With B being the number of students in High School B in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:
B=900 +25*t
You want to determine how many students there would be in each high school in the year that they are projected to have the same number of students. That is, in year t the number of students is the same, so
A = B
750 +75*t=900 + 25*t
Solving:
75*t -25*t= 900 - 750
50*t= 150
[tex]t=\frac{150}{50}[/tex]
t=3
This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:
A=750 +75*t= 750 +75*3= 975
B=900 + 25*t=900 + 25*3= 975
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Answer: REAL ANSWER
A= 75t +750
B=25t +900
Answer: 975 students
Solve the following equation for x using inverse operations 7x-15=1
Answer:
x = [tex]\dfrac{16}{7}[/tex]Step-by-step explanation:
Equation
7x - 15 = 1 → Move the -15, reversing the sign:
7x = 1 + 15 → Solve the sum:
7x = 16 → We have a fraction:
x = [tex]\dfrac{16}{7}[/tex]
x = 2.28571428571
To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].
Hope this helps!
Good studies! ☺
The solution of the equation for x is;
⇒ x = 16/7
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
7x - 15 = 1
Now, Solve the expression for x by using inverse operations as;
7x - 15 = 1
Since 15 is subtract and inverse of subtraction is addition.
Hence,
Add 15 both side we get;
7x - 15 + 15 = 1 + 15
7x = 16
7 is multiply by x, and inverse of multiplication is divide;
So, Divide by 7 both side;
x = 16/7
Thus, The solution of the equation for x is;
⇒ x = 16/7
Learn more about the inverse operations visit:
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A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.
find the slope from the table
Answer:
5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
Find the focus and directrix of the parabola with the given equation. y^2-4x=0
Answer:
directrix: x=-1
focus: (1,0)
Step-by-step explanation:
the first number in the pattern is 32 the rule is to add 27
Answer:
59
Step-by-step explanation:
2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
Learn more about arithmetic here:
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Order the fractions 1/2, -2/3, -3/8 0 from least to greatest
Answer:
-2/3, -3/8, 0, 1/2
Step-by-step explanation:
You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
A. x + 15 ≥ 60
B. x – 15 ≥ 60
C. x – 15 ≤ 60
D. x + 15 ≤ 60
Answer:
D is the correct answere
The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound
Answer:
store B, C, and D
Step-by-step explanation:
Pendiente 6 y puntos (5, -2)
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?
(-1, 2), (2, 3), (3, 1), (2, 5)
(1, 2), (4, 0), (3, 5), (4, 3)
(2, 5), (3, 6), (6, 9)
(2, 5), (3, 6), (2, 1)
Answer:
[tex](2,5), (3,6), (6,9)[/tex]
Step-by-step explanation:
Because the abscissa does not repeat with different ordinate (well, there's actually no repeating abscissa)
Answer:c
Step-by-step explanation:
Seventeen less than a number
is negative two. What is that
number?
Answer:15
Step-by-step explanation:
15-17=-2
Answer:
15
Step-by-step explanation:
15
Help!!!!!!!Plz!!!!!!!
Answer:
I'm so confused
Step-by-step explanation:
Kara and Nathan participated in a 60-minute maze race.
Kara:
32 minutes
Nathan:
40 minutes
Part B
Is the relationship in Part A rational or irrational? Justify your answer.
Select the answers that complete the sentences.
Hint(s): A rational number can be written as a ratio of two integers.
Can the times for each be written as integers?
The relationship is
The number
be expressed as a ratio of two integers.
1 rational
11 irrational
can
I cannot
Answer:
A) There is a rational relationship, B) Given ratio is not an integer.
Step-by-step explanation:
A) Is the relationship in Part A rational or irrational? Justifty your answer.
From Mathematics we remember that a rational number can formed by dividing a natural number by another natural number. Since Kara and Nathan had two natural numbers {32, 40} as their times of participation in the maze race, ratio between those times can be considered a rational number.
Hence, there is a rational relationship.
B) Can the times for each be written as integers?
The times represents the ratio of the upper number (40) to the lower number (32), the "times" can be written as integer if and only if denominator is equal to 1 after simplifying the ratio. That is:
[tex]x = \frac{40}{32}[/tex]
[tex]x = \frac{20}{16}[/tex]
[tex]x = \frac{10}{8}[/tex]
[tex]x = \frac{5}{4}[/tex]
In consequence, this ratio does not represent an integer. ([tex]1.25=\frac{5}{4}[/tex])
consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)
Answer:
23/3
Step-by-step explanation:
x=-4
plug x into equation
4(-4)+3y = 7
-16+3y = 7
3y=23
y=23/3
x - 4x + 2 = -X- 2x + 3
Plz help
The question is wrong bro.
HELP ASAP IT'S AN EMERGENCY
Answer:
AAS
Step-by-step explanation:
It has two sets of angles that are congruent. I'm no 100% so hope the picture helps you a little!!
If m<7 is 2x + 30 and m<28 is 3x - 10, find the
following:
Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
or
m∠8 = 180 - 94 = 86
m∠3 ≈ m∠7 (corresponding angles)
Find the equation of the line khan academy slope intercept equation from the graph
PLEASE HELP!!!
will give u brainliest if i get it write hurry!!!
Answer:
c trust me
and well i just did that 20 mins ago
Answer:
C for sure hope you get it
Help! Now help! ASAP!I’ll make you brainly now please
Answer:
35
Step-by-step explanation:
Answer:
-35 meters
Step-by-step explanation:
He's below sea level, basically saying below 0= sea level.
Then it's basically saying -172+ 137 meters because the shark is going upwards 137 meters, which makes 137 positive. Dude, remember, up is positive and down is negative. So the answer to this problem would be -35 meters because of -172+137=-35. Hope this helped you.
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.
Answer
-4/3
Step-by-step explanation: