Answer: The range in golf scores was 14.
Step-by-step explanation:
Range = Maximum - minimum
Values above some limit are represented by positive integers whereas values blow a certain limit is represented by negative numbers.
Given: The golfer with the highest score in a tournament was nine over par i.e. (9). The golfer with the lowest was five below par i.e. (-5 ).
So, the range in golf scores = 9-(-5)
= 9+5
= 14
Therefore, the range in golf scores was 14.
Jeff can walk comfortably at 3.75 miles per hour. Find a linear function d that represents the total distance Jeff can walk in t hours, assuming he doesn't take any breaks
Answer:
Jeff can walk 3.75 miles per hour, so in 3 hours, he can walk 11.25 miles without any breaks, so, for each hour, you'll add 3.75 miles per hour. So, for the amount of hours, its would be (Answer) t.
Hope this helps! Have a nice day! ;D
Step-by-step explanation:
The linear function d that represents the total distance that Jeff can walk will be d = 3.75t
From the information given, Jeff can walk comfortably at 3.75 miles per hour and he can walk in t hours, therefore, the linear function d that represents the total distance that Jeff can walk will be:
d = 3.75 × t
d = 3.75t
In conclusion, the correct option is d = 3.75t.
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Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.) Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.)
Answer:
The expected value for the random variable is 14.16.
Step-by-step explanation:
We are given the following data below;
Z P(Z) [tex]Z \times P(Z)[/tex]
9 0.16 1.44
12 0.25 3
15 0.36 5.4
18 0.17 3.06
21 0.06 1.26
Total 1 14.16
Now, the expected value for the random variable Z is given by;
E(Z) = [tex]\sum Z \times P(Z)[/tex]
= [tex](9 \times 0.16) + (12 \times 0.25) +......+(21 \times 0.06)[/tex]
= 14.16.
f(x)=3x^2-12x+9
g(x)= x-3
Answer:
Set the polynomial equal to y to find the properties of the parabola. y = 3 x 2 + 12 x − 9 Complete the square for 3 x 2 + 12 x − 9 . Tap for more steps... 3 ( x + 2 ) 2 − 21 Set y equal to the new right side. y = 3 ( x + 2 ) 2 − 21
Hoped I helped
What is the formula for this sequence 1, 4, 9, 16, 25, 36
Answer:
aₙ = n²
Step-by-step explanation:
Given sequence:
1, 4, 9, 16, 25, 36Or
1², 2², 3², 4², 5², 6²So the nth term is:
aₙ = n²Unit price for each size and determine which is the better buy. 15 oz. party size Doritos $3.98 9.75 oz. Doritos $2.98
Answer:
15oz
15oz is 0.27 per oz while 9.75oz bag is 0.31
1+1 = ? 45 POINT QUESTION
Answer:
2
Step-by-step explanation:
1 + 1 = 2
you can also use your left finger thumb and the right finger thumb
then add them together 1 + 1 makes 2
Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1
Answer:
[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
Step-by-step explanation:
In the case of parametric equations, the slope of the curve is equal to:
[tex]\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }[/tex]
Where [tex]\frac{dx}{dt}[/tex] and [tex]\frac{dy}{dt}[/tex] are the first derivatives of [tex]x[/tex] and [tex]y[/tex] regarding [tex]t[/tex]. Let be [tex]x(t) =2\cdot \cos t[/tex] and [tex]y(t) = 8\cdot \sin t[/tex], their first derivatives are found:
[tex]\frac{dx}{dt} = -2\cdot \sin t[/tex] and [tex]\frac{dy}{dt} = 8\cdot \cos t[/tex]
Thus, equation for the slope is:
[tex]\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}[/tex]
[tex]\frac{dy}{dx} = -\frac{4}{\tan t}[/tex]
If [tex]\frac{dy}{dx} = -1[/tex], then:
[tex]-1 = -\frac{4}{\tan t}[/tex]
[tex]\tan t = 4[/tex]
Tangent is positive at 1st quadrant and is a function with a periodicity of [tex]\pi[/tex], the set of solutions are:
[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
Is 47,704,798 divisible by 8?
Answer:
No
Step-by-step explanation:
47,704,798/8= 5,963,099.75
15 + u - 22 = 81 plz hellllpppp
Answer:
u =88
Step-by-step explanation:
[tex]15 + u - 22 = 81[/tex]
Collect like terms and simplify
[tex]u=81+22-15\\\\u = 88[/tex]
Question 1
The product of 7 and a number, increased by 3, is equal to the number, subtracted from 39. Find the number.
Answer:
[tex]n = 4.5[/tex]
Step-by-step explanation:
We can turn these words into a real equation. This gets us:
[tex]7n + 3 = 39 - n[/tex]
We want to isolate [tex]n[/tex] on one side of the equation.
Let's add [tex]n[/tex] to both sides:
[tex]7n + n + 3 = -39 - n +n\\\\8n + 3 = -39[/tex]
Subtract 3 from both sides:
[tex]8n+3-3 = 39-3\\\\8n = 36[/tex]
Divide both sides by 8:
[tex]8n \div 8 = 36 \div 8\\\\n=4.5[/tex]
Hope this helped!
Solve using substitution: 2x−3y=−1 y=x−1
Answer:
x = 4y = 3Step-by-step explanation:
2x - 3y = - 1 ………… Equation 1
y = x - 1 ….……….… Equation 2
To solve using substitution , substitute equation 2 into equation 1
That's
2x - 3( x - 1) = - 1
2x - 3x + 3 = - 1
- x = - 1 - 3
- x = - 4
Multiply through by - 1
We have
x = 4Substitute x = 4 , into y = x - 1
We have
y = 4 - 1
y = 3
We have the answers as
x = 4
y = 3
Hope this helps you
Which of the following is the graph of y=3(1/5)^x?
Answer:
See image below
What is the sum of the interior angles of the polygon shown below
Answer:
900
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is given by the formula:
[tex]S=(n-2)180[/tex]
The polygon given has 7 sides. Substitute 7 for n. Thus:
[tex]S=(7-2)180\\S=5(180)\\S=900[/tex]
The sum of the interior angles is 900 degrees.
1) For her birthday, your grandmother wants you to replace her old, tube TV with a new, widescreen TV. Her current TV measures 42" and she would like her new TV to measure the same size. What are the dimensions of the new TV if the aspect ratio is 16:97
Both values are approximate, rounded to 3 decimal places.
===================================================
Explanation:
I'm assuming you meant to say 16:9 instead of 16:97
The ratio 16:9 means that the horizontal width is 16x units and the height is 9x units. They form the ratio 16x:9x which reduces to 16:9
She wants the tv to be the same size as her old one, so the new tv will also have a diagonal of 42 inches (tv sizes are measured by the length of the diagonal).
Through the pythagorean theorem, we can say
a^2+b^2 = c^2
(16x)^2 + (9x)^2 = (42)^2
256x^2 + 81x^2 = 1764
337x^2 = 1764
x^2 = 1764/337
x^2 = 5.23442136498517 approximately
x = sqrt(5.23442136498517)
x = 2.28788578495194
x = 2.288
--------
This means the dimensions would be
width = 16x = 16*2.288 = 36.608 inches
height = 9x = 9*2.288 = 20.592 inches
both are approximate
If p = 2 and q = 8, the value of p 3 + ÷ q is _____. 9 5 7 2
Answer:
31.9572
Step-by-step explanation:
substituted the numbers, added them and easily divided them to get the decimal point.
Answer:
The answer should be 9
Step-by-step explanation:
Because it's the answer
1. A bike travels 24 miles in 3 hours. At this rate how many miles will the bike travel in 10 hours? A. 192 B. 80 C. 32 D. 124
Answer: B. 80
Step-by-step explanation: Simply times 24 by 10, then divide it by 3.
Answer:
B. 80 miles
Step-by-step explanation:
A bike travels 24 miles in 3 hours
how many miles does it travel in 10 hours at the same rate/
its a ratio and proportion
24 miles x
------------- = --------------
3 hours 10 hours
cross multiply:
3 x = 24 (10)
3 x = 240
x = 240 miles / hour
3 hours
x = 80 miles
so the answer is B. 80 miles
Simplify 3z + 4z +4 -2 -5z when Z=8
Answer:
18
Step-by-step explanation:
3z + 4z +4 -2 -5z
Combine like terms
3z + 4z -5z +4-2
2z+2
Let z=8
2*8 +2
16+2
18
Answer:
18
Step-by-step explanation:
When z=8
Substitute 8 wherever u see z
3(8)+4(8)+4-2-5(8)
24+32+4-2-40
18
At a mall food court, the first 18 orders for the day are given below.
• 5 pizza slices
• 6 hamburgers
• 3 hot dogs
• 4 fried chicken
Based on this information, how many fried chicken orders could be expected from 225 customers?
let's focus solely on fried chicken.
So,
18 orders (18 customers) = 4 fried chickens
1 order = ( 4 ÷ 18 )
225 orders (225 customers) = ( 4 ÷ 18 ) × 225
= 50 fried chickens
what step is used to solve the equation below :m-8=11
Step-by-step explanation:
M-8=11
M=11+8
M=19
hope it helps u
Answer:
Add 8 to both sides of the equation
m=19
Step-by-step explanation:
The equation given is:
m-8=11
We want to solve the equation for m. To do this, we must isolate m on one side of the equation.
8 is being subtracted from m. The inverse of subtraction is addition. Add 8 to both sides of the equation.
m(-8+8)= 11+8
m= 11+8
m= 19
The step used to solve the equation is adding 8 to both sides and the solution is m=19
PLEASE HELP 100 points
Answer and Step-by-step explanation:
Left: 1 ten + 8 ones = 18
Right: 2 tens + 9 ones = 29
You get this answer by adding all of the cubes together. You could also see that the long blocks count up to ten so you could subtract how much you added by ten to get the ones.
Hope this helped you out! Have a wonderful day!
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answer:
54 cm
Step-by-step explanation: 1/2b x h
1/2(18) x 6
9 x 6=54
The area of a parallelogram is 18 square units.one side of the parallelogram is 24 units long.The other side is 6 unit long. which could b the parallelograms height select all apply
Answer:
3/4 or 4
Step-by-step explanation:
We know that Area = base * height. If the base is 24, then the height could be 18 / 24 = 3 / 4. If the base is 6, then the height could be 24 / 6 = 4.
The possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]
The given expression:
area of a parallelogram, A = 18 square unit
a side of the parallelogram, = 24 units
another side of the parallelogram, = 6 units
To find:
the height of the parallelogram, hThe area of a parallelogram is given as;
Area = base (b) x height (h)
[tex]height \ (h) = \frac{Area \ (A)}{base \ (b)}[/tex]
From the given sides, the possible heights of the parallelogram are calculated as follows;
if the base, b = 24 units[tex]the \ height = \frac{18}{24} = \frac{3}{4} \ unit[/tex]
Also, if the base, b = 6 units[tex]the \ height \ (h) = \frac{18}{6} = 3 \ units[/tex]
Therefore, the possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]
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An object is dropped from the top of a tall building. The height S of the object after t seconds is given by the equation s=-16t^2+676. Find how many seconds pass before the object hits the ground. (Hint: The object is on the ground when S = 0.)
Answer:
6.5 seconds
Step-by-step explanation:
When s=0, we have ...
0 = -16t^2 +676
t^2 = 42.25 . . . . . add 16t^2, divide by 16
t = √42.25 = 6.5
6.5 seconds will pass before the object hits the ground.
Graph the line with y-intercept -5 and slope – 2.
Answer:
Step-by-step explanation:
Given: f(x) = 3 - x; g(x) = -2x Find f[g(2)].
Answer:
Step-by-step explanation:
g(2) = -2(2) = -4
f(-4) = 3 + 4 = 7
19y+36=150 solve the equation
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.) 3+i
Answer:
[tex]z = 3 + i[/tex] is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].
Step-by-step explanation:
A complex number comprehends all numbers of the form:
[tex]z = a+i\cdot b[/tex], [tex]\forall \,a,b\in \mathbb{R}[/tex]
Where [tex]i = \sqrt{-1}[/tex].
In other words, complex numbers are an extension of real numbers.
There is the following classification depending on what values of [tex]a[/tex] and [tex]b[/tex] exist:
Real - [tex]a \in \mathbb{R}[/tex], [tex]b = 0[/tex]
Complex - [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex]
Pure imaginary - [tex]a = 0[/tex], [tex]b \neq 0[/tex] (The term "nonreal complex" is a synonym for pure imaginary complex)
Let be [tex]z = 3 + i[/tex], which is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].
The number contains both real and imaginary parts, hence it is classified as a complex number.
Complex numbersComplex numbers are square roots of negative numbers. They are represented using the letter "i".
Complex number is expressed as z = x + iy where:
x is the real party is the imaginary part.Given the value 3+i, since the number contains both real and imaginary parts, hence it is classified as a complex number.
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Definition: A __________________________ is your list of all income and planned expenses.
Answer:
personal budget
Step-by-step explanation:
Drawing up a budget is a good way to plan your expenditure based on how much money you expect to receive. Budgets are often estimates, because you cannot easily include unexpected expenses in a budget. However, you can plan to save some money that you can use in the event of an unexpected expense. Budgeting includes normal monthly budgeting and budgeting for particular expenses, such as an expensive item that you want to buy, a project or a trip overseas.
Please please please help me with this problem it’s so hard and I’ll give you a brain list
Answer:
It is Positive,Negative,Positive after solving each of them
Ill give you BRAINLIST !
North Carolina entered the Union x years after Pennsylvania. Which expression shows the year North Carolina entered the Union?
A. 1854 + x
B. 1845 - x
C. 1787 + x
D. 1787 - x t