Step-by-step explanation:
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A calculus exam that was taken by 94 students is recorded and normally distributed. The mean score on the exam is 78 and the standard deviation is 2.4. What percent of the scores are in the 70.8 and 85.2 range?
Answer:
99.73%
Step-by-step explanation:
If you have a calculator with distribution functions, this problem boils down to using a single command:
norm(70.8, 85.2, 78, 2.4) = 0.9973
This tells us that 99.73% of the scores are in the 70.8-85.2 range.
The perimeter of the tennis court is 228 feet. What are the dimensions of the court? Write the equation for the situation: What is the width of the court? What is the length of the court?
Answer:
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
Step-by-step explanation:
2(w+2w+6)=228 feet
2w+4w+12=228
6w=228-12
6w=216
w=36
So, 2w+6=78
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.
To find the dimensions of the tennis court, we can set up a system of equations based on the given information:
Equation for the perimeter:
The perimeter of a rectangle is given by the formula:
P = 2(length + width).
In this case,
the perimeter is 228 feet, so the equation gives:228 = 2(l + w)
Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:
w = l
To solve the system of equations:
Substitute the value of l from the second equation into the first equation:
[tex]228 = 2((2w + 6) + w)[/tex]
Simplifying the equation:
[tex]228 = 2(3w + 6)[/tex]
Divide by 2 on both sides
[tex]114 = 3w + 6[/tex]
Subtract by 6 on both sides
[tex]108 = 3w[/tex]
Divide by 3 on both sides
[tex]w = 36[/tex]
Substituting the value of w back into the second equation:
[tex]l = 36[/tex]
Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.
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a family uses 1303 kWh of electric energy in a month. if the power company charges $0.08 cents per kilowatt, what is the total electric bill for the month?
-2a>6, then a is what?
Answer: a < -3
Step-by-step explanation:
-2a > 6 Divide both sides by -2 and remember if you divide both sides of an inequality by a negative number the sign switches.
-2a > 6
a < -3
Answer:
a < -3
Step-by-step explanation:
It less than -3
Solve 2|x - 1| >= 10
Answer:
[tex]\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Step-by-step explanation:
[tex]\bold{2|x-1|\geqslant10}\\\\{}\ \div2\qquad\div2\\\\\bold{|x-1|\geqslant5}\\\\\bold {x-1\geqslant5\qquad\quad\vee\qquad x-1\leqslant-5}\\\\\bold {x\geqslant6\qquad\qquad\vee\qquad\ \ x\leqslant-4}\\\\\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
At a picnic there are 7 pieces of fruit for every 4 vegetables. If there are 28 pieces of fruit, how many vegetables are there?
Step-by-step explanation:
There are 7 fruits for every 4 vegetables.
If there are 28 fruits, the number of fruits have multiplied by 4. This means that the number of vegetables have multiplied by 4 as well.
=> 4 * 4 = 16 vegetables.
Hence there are 16 vegetables.
not sure how to complete this, info is in the photo.
Lorie is using long division to find the quotient of 13 + 6r2 + 5 and 12 + 1 – 1, as shown.
41
+ 5 –
12 + - 1
I2 + 1 - 1) 1 3 + 612 + 0.1 + 5
(13 + 12 – 1
-
5.12 + I + 5
(5.12 + 51 – 5)
-4r + 0
What mistake did Lorie make?
ОА
She combined the constants incorrectly in the last step.
OB.
The last term in the quotient has an incorrect denominator.
ОС. .
She added an extra term to the dividend.
OD.
second term in the quotient should be 7.
Answer: she combined the constants incorrectly in the last step.... i just got it right on the test
Answer:look at the step by step explanation for answer
Step-by-step explanation:
are 18 and 2x like terms?
Answer:
no
Step-by-step explanation:
Write g(x) in terms of f(x) after reflecting the graph of f(x) across the y-
axis. *
Answer:
g(x)=f(-x) , the dot on the x axis is negative so multiply it by a another negative to get a positive
Set up an equation and solve for x
X
2x
3x
Equation
Step-by-step explanation:
x+2x+3x=180
6x=180
divide both sides by 6
x=30°
Charles’ law describes the relationship between the initial and final temperature and volume of a gas held at a constant pressure. [tex]\frac{v_{i} }{V_{f} }=\frac{t_{i} }{t_{f} }[/tex] A). Solve the equation for [tex]v_{f}[/tex] B). Solve the equation for [tex]t_{f}[/tex] Show Step by Step
Answer:
t= 12.433
Step-by-step explanation:
Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
10
20
15
30
A)Add 10 to the input to get the output
B)Multiply the input by 2 to get the output
C)Multiply the input by 3 then subtract 5 from the result to get the output
Answer:
B)Multiply the input by 2 to get the output
Step-by-step explanation:
5x2=10
10x2=20
15x2=30
Solve for the distance from point A to point B. Round your answer to
nearest tenth.
A(5,4) and B(-4,-3)
Answer:
11.4
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
1. [tex]d=\sqrt{(-4-5)^2+(-3-4)^2}[/tex]
2. [tex]d=\sqrt{(-9)^2+(-7)^2}[/tex]
3. [tex]d=\sqrt{81+49}[/tex]
4. [tex]d=\sqrt{130}[/tex]
5. [tex]d=11.4017[/tex]
6. [tex]d=11.4[/tex]
need help I really need help WILL MARK BRANLEST
By definition, the absolute value of a constant is the distance from that number to zero, regardless of it's negative or positive coefficient.
The distance from -38 to 0 is 38, meaning that the absolute value is 38.
Hope this helps.
頑張って!
Answer:
38
Step-by-step explanation:
The absolute value of a number may be thought of as its distance from zero along real number line. which means - 38 is 38 times away from 0
HELP ME ANSWER THIS PLZ!!!!!!
Answer:
25% off $60 = $15
15% off $60 = $9 - 10%= $0.90
Step-by-step explanation:
$60 divided by 4= 25 x 4 = 100 is the whole number
A bag contains 4 red marbles, 5 blue marbles, 6 yellow marbles, and 7 green marbles; Jonathan randomly grabs one marble, puts it back then draws a second marble. What is the probability that the first marble was red, and the second marble was green?
p ( first marble red ) = 4/22
p ( second marble green ) = 7/22
Since total number of marbles r 22, then the denominator is 22 also. When Jonathan puts back the red marble aft the first round, this means with replacement so there's no change in denominator for the second round.
Mane and Seth are working on a lab activity where they are tracking some leaves that are
floating past them in a rain runoff channel near their home. They have to measure how far the
leaves travel in different amounts of time. They place a long tape measure along side of the
runoff channel to measure distance A borrowed stopwatch will let them record the amount of
time. They plan to have time intervals that begin at two seconds, and increase by two's until
they get to 20 seconds. The data they recorded is below.
Which is the independent and which is the dependent variable
Answer:
Independent = time intervals
Dependant = how far the leaves travel
Step-by-step explanation:
independent = what you change
dependent = what you measure
Answer
a tape measure
Step-by-step explanation:
M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N
Answer:
6
Step-by-step explanation:
M=2*2*3*5*5=300
N=2*2*2*3*3*7=504
Common factors between the two numbers are 2 and 3
The GCF(greatest common factor):
2×3 = 6
To see if it is true:
300/6 = 50
504/6 = 84
6 is the answer to the question.
what numbers are needed for: _*(_+_)/_=6
Answer:
4(1+2)/2 = 6
Step-by-step explanation:
Think about multiples of 6 (I thought of 12)
"Think 'What' x 'what' will make the lowest multiple of 6"
oweikeme has 2500 Naira and bought the following items from the bookshop: 60 ballpoint pens at 15 Naira each, two dozen of exercise books at 5 Naira each,8 drawing books at 80 Kobo each how much has he have left
Answer:
1480
Step-by-step explanation:
60x15=900
24x5=120
there is no mention of qweikeme having any kobo
Nathan read a total of 630 pages over 30 hours. In all, how many hours of reading will Nathan have to do this week in order to have read a total of 714 pages? Solve using unit rates.
Answer:
34 hours
Step-by-step explanation:
Given that,
Nathan read a total of 630 pages over 30 hours.
We need to find times of reading will Nathan have to do this week in order to have read a total of 714 pages.
1 page can be read in [tex]\dfrac{30}{630}\ \text{hours}[/tex]
To read 714 pages, it will take
[tex]\dfrac{30}{630}\times 714\ \text{hours}\\\\=34\ \text{hours}[/tex]
Hence, it will take 34 hours to read 714 pages.
1. Here is a map that shows parts of Texas and
a. About how far is it from Amarillo to Oklahoma City?
b. Driving at a constant speed of 70 miles per hour, will it be possible to make this
trip in 3 hours?
Answer:
a). 240 miles (Approx)
b). Trip can't be covered in 3 hours with a constant speed = 70 miles pr hour
Step-by-step explanation:
a). As the scale has been given at the bottom. Length of the scale represents the distance between two points.
Now by measuring the distance between these stations, approximate distance between Amarillo and Oklahoma = 4(length of the scale)
= 4×60
= 240 miles.
b). Driving at a constant speed = 70 miles per hour
Distance covered in 3 hours = 70 × 3
= 210 miles
Therefore, distance of 240 miles between these stations can't be covered with the driving speed 70 miles per hour in 3 hours.
Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60,
which inequality shows n, the maximum number of notebooks she can buy with her money?
1.672 56
O 1.6n s56
56931.6
O 56n2 1.6
Answer:
1.6n [tex]\leq[/tex] 56
Step-by-step explanation:
1.6n [tex]\leq[/tex] 56
This states,
'$1.60 per notebook, but use up to 56 dollars.'
brody is working two summer jobs, making $10 per hour
thiis isnt specific but if hes working two summer jobs and making 10 per hour than Brody would be making less than min. wage
What is 0.16666666666666666 as a fraction?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating 6 placed after the decimal point. Then subtracting the equations eliminates the repeating part.
let x = 0.1666....... ( multiply both sides by 10 and 100 )
10x = 1.666...... → (1)
100x = 16.666...... → (2)
Subtract (1) from (2) to eliminate the repeating decimal, thus
90x = 15 ( divide both sides by 90 )
x = [tex]\frac{15}{90}[/tex] = [tex]\frac{1}{6}[/tex]
Thus
0.16666......... = [tex]\frac{1}{6}[/tex]
Expand
Your answer should be a polynomial in standard form -4w(w^2-9)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4 {w}^{3} + 36w}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4w( {w}^{2} - 9})[/tex]
Distribute -4w through the parentheses
[tex] \dashrightarrow{ \sf{ - 4 {w}^{3} + 36w}}[/tex]
Hope I helped!
Best regards! :D
The standard form of the polynomial -4w(w²-9) will be -4w³+36w.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form.
The given expression can be converted to the standard form as below,
P = -4w(w²-9)
P = ( -4w) x (w²) + ( 4 x 9w)
P = -4w²+36w
Therefore, the standard form of the polynomial -4w(w²-9) will be -4w³+36w.
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Here is a list of numbers:
11, 19, 2, 7, 8, 1,9,9,16,1
State the median.
How many solutions can be found for the equation 3x − 2 = 3x + 5?
Zero
One
Two
Infinitely Many
Answer:
Zero
Step-by-step explanation:
because there is no value for the variable that could make the equation work.
Hope this helped!!
btw this was right in the FLVS test.
NEED ASAP
Change the percent to a decimal.0.4% =
A 0.004
B 0.4
C 4.0
D 0.04
Answer:
A)0.004
If you do the math you should get this answer