Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.
Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.
In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.
There are 180 girls in a mixed school. if the ratio of girls to Boyd is 4:3,find the total number of students in the school.
Step 1) Set up a proportion
180 girls / x boys = 4 girls / 3 boys
540 = 4x
x = 135 boys
Step 2) Add the number of boys and girls together
180 + 135 = 315
Answer: 315 total students
The property tax on a house with an assessed value of $480,000 is $5760. Determine the property tax on a house with an assessed value of $600,000, assuming the same tax rate.
Answer:
Hey there!
5760/480000=x/600000
Solving for x, we get the answer is $7200.
Let me know if this helps :)
Answer:
$7200
Step-by-step explanation:
We can start by finding out the tax rate by dividing the property tax by assessed value.
$5760/$480,000 = 0.012
From this, we learn the tax rate is 1.2%
Now, we can multiply the assessed value of $600,000 by the tax rate.
$600,000*0.012 = $7200
The property tax on a house with the assessed value of $600,000 is $7200.
Find an equation of the line passing through the points (−8,2) with the slope m= 4/3
Answer:
[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]
Step-by-step explanation:
So we want to find an equation of a line passing through (-8,2) with a slope of 4/3.
To do so, we can use the point-slope form. This is:
[tex]y-y_1=m(x-x_1)[/tex]
So, substitute (-8,2) for x₁ and y₁, and let m be 4/3:
[tex]y-2=\frac{4}{3}(x+8)[/tex]
Distribute the right:
[tex]y-2=\frac{4}{3}x+\frac{32}{3}[/tex]
Add 2 to both sides. Note that 2 can be written as 6/3. Thus:
[tex]y=\frac{4}{3}x+\frac{32}{3}+\frac{6}{3}[/tex]
Simplify:
[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]
And this is our equation :)
6x- 10=-8+3x
Solve the linear equation.
Answer:
x =2/3Step-by-step explanation:
[tex]6x-10=-8+3x\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\6x-10+10=-8+3x+10\\\\\mathrm{Simplify}\\6x=3x+2\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\6x-3x=3x+2-3x\\\\Simplify\\3x=2\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{2}{3}\\\\Simplify\\x=\frac{2}{3}[/tex]
Answer:
x = 2/3
Step-by-step explanation:
This equation can be solved by using conventional algebraic techniques.
We firstly want to make sure to get our constants on one side of the equation and then get our variables on the other.
6x - 10 = -8 + 3x Subtract 3x from both sides of the equation.
3x - 10 = -8 Add 10 to both sides of the equation.
3x = 2 Divide by 3 on both sides of the equation.
x = 2/3
Then, you can voluntarily check your answer.
6(2/3) - 10 = -8 + 3(2/3)
4 - 10 = -8 + 2
-6 = -6
a(x+b)=g+3f
solve for x
please help<333
Answer a=3f+g/b+x
Step-by-step explanation:
Let's solve for a.
a(x+b)=g+3f
Step 1: Factor out variable a.
a(b+x)=3f+g
Step 2: Divide both sides by b+x.
a(b+x)/b+x=3f+g/b+x
a=3f+g/b+x
The sum of the sequence of 685+678+671+664+...+6
Answer:
Sum of the sequence (Sn) = 33,859
Step-by-step explanation:
Given:
Sequence = 685+678+671+664+...+6
Find:
Sum of the sequence (Sn)
Computation:
a = 685
d = 678 - 985 = -7
an = 6
an = a+(n-1)d
6 = 685+(n-1)(-7)
-679 = (n-1)(-7)
97 = n-1
n = 98
So,
Sum of the sequence (Sn) = (n/2)[a+an]
Sum of the sequence (Sn) = (98/2)[685+6]
Sum of the sequence (Sn) = (49)(691)
Sum of the sequence (Sn) = 33,859
$31,600
$26,070
None of These
$32,864
$27,112.80
Answer:
33 x 15.80
521.40 x 50= 26,070
B 26,070
Hope this helps! （づ￣3￣）づ╭❤～
Find the value of x in the equation below. 2x+8/6=1/3(x+4) A. x = 0 B. no real solutions C. infinitely many solutions D. x = 1
Answer:
x = 0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x+8/6-(1/3*(x+4))=0
Simplify 1/3
Equation at the end of step 1 :
(2x + 8/6) - (1/3 * (x + 4)) = 0
STEP 2 :
Equation at the end of step 2
(2x + 8/6) - (x+4)/3 = 0
STEP 3 :
Simplify 4/3
Equation at the end of step 3 :
(2x + 4/3) - (x+4)/3 = 0
STEP 4 :
Rewriting the whole as an Equivalent Fraction
Adding a fraction to a whole
Rewrite the whole as a fraction using 3 as the denominator :
2x = 2x/1 = 2x*3/3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x * 3 + 4/3 = 6x+4/3
Equation at the end of step 4 :
(6x+4)/3 - (x+4)/3 = 0
STEP 5 : Pulling out like terms
Pull out like factors :
6x + 4 = 2*(3x + 2)
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2*(3x+2)-((x+4))/3 = 5x/3
Equation at the end of step 5 :
5x/3 = 0
STEP 6: When a fraction equals zero
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, multiply both sides of the equation by the denominator.
Here's how:
5x/3*3 = 0*3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
5x = 0
Solving a Single Variable Equation:
Solve : 5x = 0
Divide both sides of the equation by 5:
x = 0
Two pieces of fabric
are 143/4 inches and
207/8 inches long. To
form a single piece in
length, 3/8 inch of
each masonry piece
was sewn together to
create a seam. What
is the final length of
the fabric after the
two pieces are sewn?
Answer:
487/8 inchesStep-by-step explanation:
[tex]\left(\dfrac{143}{4}-\dfrac38\right)+\left(\dfrac{207}{8}-\dfrac38\right)=\dfrac{286}{8}-\dfrac38+\dfrac{204}{8}=\dfrac{283}{8}+\dfrac{204}{8}=\dfrac{487}{8}[/tex]
3y+2=2y+4
multi-step equations
Answer:
y = 2
Step-by-step explanation:
This equation can be solved three steps, classifying it as a multi-step equation.
To solve, you need to get the constants on one side and the variables on the other and then isolate the variable. These steps are illustrated below.
3y + 2 = 2y + 4 Subtract 2y from both sides of the equation.
y + 2 = 4 Subtract 2 from both sides of the equation.
y = 2
Ben can type 25 words in half a minute at the rate how many words can he type in 5 minutes
Answer: 250 words in 5 minutes
Step-by-step explanation:
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π. Need this ASAP
Answer:
22 square feet
Step-by-step explanation:
Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.
Area of circle = 3.14 × r × r
r = 10 ÷ 2
= 5
Area of circle = 3.14 × 5 × 5
= 78.5
Area of square = length × length
Area of square = 10 × 10
= 100
Area of shaded region = Square - Circle
= 100 - 78.5
= 21.5
= 22 (to the nearest square foot)
I hope this helps :)
The park wanted to put up a new 500 foot fence around the rectangular playground. The length of the fence is going to be 100 foot. what will be the with of the fence?
Answer:
150 feet
Step-by-step explanation:
A rectangle has 2 pairs of equal sides.
One of the sides is 100 feet, meaning another side is 100 feet.
If we subtract 200 feet we are left with 300, which are the last two sides.
Divide 300 by 2 to get each side length.
150 feet
for what values of x will 4^x be greater than 1 ?
Answer:
x>0
Step-by-step explanation:
We want to solve for x in the inequality:
4^x > 1
ln(4^x)=xln(4) > ln(1)=0
x > 0/ln(4) =0
x>0
So for any value of x greater than 0, you will have 4^x be greater than 1.
For the number 360.048, round to the nearest whole number.
Answer:
360
Step-by-step explanation:
.0 is less than .5 so round down
Answer:
360
Step-by-step explanation:
[tex]360.048 = 360[/tex]
0 to 4 = 0(round down)
5 to 9 =1 (round up)
What is the answer rounded to the nearest whole number
simplify the algebraic expression 3xy+5x+2+3y+x+4
Answer:
3xy+6x+3y+6
Step-by-step explanation:
You just need to combine like terms.
5x and x are like terms so you can add them to 6x.
2 and 4 are like terms so you can add them to 6
Pleaseeeeeeee helpppp
Answer:
point G
Step-by-step explanation:
Find the referenced points on the diagram and notice the lines between them. The point at the intersection of those lines is what is wanted.
It is point G.
please assist me with this problem: part 10
Answer:
c
Step-by-step explanation:
Given
sinN = [tex]\frac{a}{b}[/tex] ( multiply both sides by b ) , then
a = bsinN → (a)
And
sinM = [tex]\frac{a}{y}[/tex] ( multiply both sides by y ), then
a = ysinM → (b)
Thus a is both (a) and (b)
Let
f(x) =
7x − 5, x ≤ −5
−x2, x > −5
.
Find
f(−1), f(−5), and f(−6)
Answer:
EZ
Step-by-step explanation:
EZ
Fill in the blanks to simplify the expression. 3{4 × [3+ (1+2 × 5)]} = 3{4× [3+ □] } =3{□} = □.
Answer: 11, 56, 168
Step-by-step explanation: order of operations:
1+10=11.
3+11=14. 14x4=56.
3x56=168
No sé cómo hacerlo. Y me gustaría que me ayudaran con él proceso?
Answer:
BC=11
Step-by-step explanation:
we need to find BC
and we know that
AB= x+2
AC=13
BC=2x+11
A, B and C are collinear
that means that
AB+BC=AC
x+2+2x+11=13
3x+13=13
3x=0
x=0
so BC=2(0)+11
BC=11
Josh and his brother earn points when they do house chores. The ratio of Josh's points to his brother's points is 4:3. Together, they have 420 points. How many points does each boy have?
The correct answer is Josh has 240 points and his brother has 180 points
Explanation:
The ratio 4:3 means for every four points Josh has, his brother has three points. Now, to find how many points each boy has if there are 420 points, follow this process:
1. Use the ratio to write the equivalent fraction
4 : 3 = [tex]\frac{4}{3}[/tex]
2. Find the total number of parts
4 + 3 = 7
3. Divide the total number into the parts
420 ÷ 7 = 60 (each of the part is equivalent to 60)
4. Multiply the value of each part by each section of the ratio
4 × 60 = 240 - This represents the number of points Josh has if there are 420 points
3 × 60 = 180 - This represents the points Josh's brother has
This means Josh has 240 points and his brother has 180 points
Answer:
Josh has 240 points and his brother has 180 points\
I hope this helps. Have a nice day :D
English
A section of wall is being framed. A model of the framing
work is shown below.
Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°
They are alternate interior angles. Angle A
measures 125
They are vertical angles. Angle A measures 125°.
They are corresponding angles. Angle A measures
55°
1250
b
e
Intro
Done
Answer:
They are some side interior angles. Angle A measures 55 degrees.
Step-by-step explanation:
Angle A is accuse so it can’t be 90 or more, so that narrows you’re options down by two. From there it’s fairly easy to distinguish.
At a sporting goods store, Franklin tennis racquets normally sell for $110, but this week
they're selling for less than their normal price, How much has the price on each
d'acquet been lowered?
the table below shows the amount that must be repaid, y, when x dollars are borrowed.
Answer:
see below
Step-by-step explanation:
You can try the answer choices to see which one works. Since the amount repaid is greater than the amount borrowed, you can be pretty sure that the multiplier of x will not be 4/5 (a value less than 1).
You can see right away that
y = 5/4x
does not work for x=100, because it gives y=(5/4)(100) = 125, and the table value is 135. Note that 135 is 10 more than 125, so we expect that ...
y = 5/4x +10
will be correct. Trying that function on the other table values shows it fits exactly:
5/4(200) +10 = 250 +10 = 260
5/4(500) +10 = 625 +10 = 635
5/4(800) +10 = 1000 +10 = 1010
_____
You can also use the table values to create the relation equation. One possible method uses the 2-point form of the equation for a line:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (260 -135)/(200 -100)(x -100) +135
y = 125/100(x -100) +135 . . . . simplify a bit
y = 5/4x -125 +135 . . . . . . . . . simplify more
y = 5/4x +10 . . . . . . . . . . . . . . simpler yet; matches 3rd choice
1. What concepts of functions can you associate with the pictures?
Step-by-step explanation:
what concepts of functions can you associate with the picture
The concepts of functions that can be associated with the pictures are :
Money AccountRevenueSavingsattached below is the missing diagram.
A concept is general idea about a Thing which can be represented in different forms. It can be visual or non-visual. therefore some of the concept of function represented in the pictures includes ; money, Financial Accounts, savings. e.t.c.
Hence from the pictures attached below the concepts that are represented in them includes ; Money, Account, Revenue and Savings.
learn more : https://brainly.com/question/1103669
What’s 2 1/6 - 1 5/6?
Answer:
2/6 or 1/3
Step-by-step explanation:
If a fraction has
____ in the denominator, it is undefined.
Answer:
Zero
Step-by-step explanation:
Zero
Answer
To fill in the blank, it would be zero
Step-by-step explanation:
HELP!!!!!!!!!! AP CALCULUS AB
Answer:
[tex]\lim_{x \to 5^{-}} f(x)= 54[/tex]
[tex]\lim_{x \to 5^{+}} f(x) = -17[/tex]
Step-by-step explanation:
+ means we are approaching from the right
- means we are approaching from the left
We are given that if x < 5, it is x² + 5x + 4
So to find [tex]\lim_{x \to 5^{-}} f(x)[/tex] we would plug in 5 into that piecewise function part:
5² + 5(5) + 4 = 54
We would be approaching y = 54 if we approach from the left.
We are given that x > 5, it is -4x + 3
So to find [tex]\lim_{x \to 5^{+}} f(x)[/tex] we would plug in 5 into that piecewise function part:
-4(5) + 3 = -17
We would approach y = -17 if we approached from the right.
Answer:
[tex]\lim_{x \to 5^-}f(x)=54\\\lim_{x \to 5^+}f(x)=-17[/tex]
Step-by-step explanation:
So, we have the function:
[tex]f(x)=x^2+5x+4,x<5\\f(x)=8,x=5\\f(x)=-4x+3,\text{ otherwise}[/tex]
And we want to show that this has a jump discontinuity.
As directed, calculate the limit at x=5 from the left and from the right. Thus:
[tex]\lim_{x \to 5^-}f(x)[/tex]
To calculate this, since we're coming from the left, x is less than 5. So, use the first equation:
[tex]\lim_{x \to 5^-}f(x)\\= \lim_{x \to 5^-}(x^2+5x+4)\\[/tex]
Use direct substitution:
[tex]=(5)^2+5(5)+4\\=25+25+4\\=54[/tex]
Thus, as the limit approaches f(5) from the left, the function approaches 54.
Now, calculate the limit at x=5 from the right. Since we're coming from the right, use the third equation:
[tex]\lim_{x \to 5^+}f(x)\\= \lim_{x \to 5^+}(-4x+3)[/tex]
Direct substitution:
[tex](-4(5)+3)\\=-20+3\\=-17[/tex]
Thus, as the limit approaches f(5) from the right, the function approaches -17.
As you can picture, there's a huge gap between y=54 and y=-17. The limits are not equal and both of the limits do exist. Thus, we have jump discontinuity.