Help with math please
Answer:
You are correct,y = 0.
Step-by-step explanation:
y = 4 x -3 + 12
y = -12 + 12
y = 0
Hope that helps!
If TRAP is an isosceles trapezoid, what is the value of X?
6x"
(2x + 4)"
Answer:
The answer is 22.
Step-by-step explanation:
6x+2x+4=180
8x+4=180
8x=176
x=22
The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard deviation of 2.77 inches. Treating the 43 presidents as a simple random sample, determine if there is evidence to suggest that the US presidents are taller than the average American male. Use the a= 0.05 level of significance.
Answer:
There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male
Step-by-step explanation:
The given parameters are;
The mean height of American Males, μ = 69.5 inches
The mean height of 43 male presidents, [tex]\overline x[/tex] = 70.78
The standard deviation, s = 2.77 inches
The number of male presidents = 43
The null hypothesis; H₀ μ = [tex]\overline x[/tex]
The alternative hypothesis; Hₐ μ ≠ [tex]\overline x[/tex]
The significance level, α = 0.05
The t test for the sample with unknown population standard deviation is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302[/tex]
The degrees of freedom, df = n - 1 = 43 - 1 = 42
The critical 't' value = 2.0181
Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male
Find the slope using points ( 5.1) and (9,4)
Answer:
Step-by-step explanation:
m = (4-1) / (9-5)
m = 3/4
3 for performance, 5 for voice, 5 for participation, and 11 for dance. She randomly picks a trophy for show and tell day at school. What is the probability it will be for dance?
Joey earns a weekly salary of $325 plus a commission on his total sales. Last week his sales were $2950, and he earned a total of $915. What was his commission rate?
Answer:
Commission rate is 20%.
Step-by-step explanation:
Joey's weekly salary is $325
Plus a commission on his total sales.
Let commission is x% on his total sales.
So, we can set up equation for the given information as
325+x%(2950)= 915
Solve this equation for x%.
Subtract both sides 325
x%(2950) =590
Divide both sides by 2950
x%=0.2
We know x% means it is [tex]\frac{x}{100}[/tex]
So, [tex]\frac{x}{100} =0.2[/tex]
Multiply both sides by 100
x=20%.
So, commission rate is 20%
A bookcase is to have 5 shelves including the top. The height of the bookcase is to be 3 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase?
Answer:
The width and height is 1.375 and 4.375 respectively
Step-by-step explanation:
The computation of the width and height of the book case is shown below:
Let the width be w
And, the height be h
So, the following equations should be made
5w+3h=20 ......(i)
h = w + 3......(2)
Now
put the value of h in equation (1)
5w + 3(w + 3) = 20
5w + 3w + 9 = 20
8w = 20-9
8w = 11
w = 11 ÷ 8
= 1.375
And, the height would be
= 1.375 + 3
= 4.375
Solve the system.
y = 3x + 1
-x + 2y = -3
-3, -3
,........... .......
Please help!
(Vieta's Formulas) Let [tex]r[/tex], [tex]s[/tex], and [tex]t[/tex] be solutions to the equation [tex]$2x^3 - 3x^2 + 4x - 1 = 0$[/tex]. Find [tex]$r^2+s^2+t^2$[/tex].
Please include an explanation as well :)
We are given the polynomial:
2x³ - 3x² + 4x - 1 = 0
We need to find the value of r² + s² + t² where r,s,t are the solutions.
Simplifying r² + s² + t²:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
[since a²+b²+c² = (a+b+c)² - 2(ab + bc + ca)]
Using the Vieta's formulae:
Above, we can see that in order to find the value of r² + s² + t², we need to find the value of the sum of solutions and sum of solutions taken 2 at a time.
Sum of roots:
We know that the Vieta's formula to find the sum of roots is:
Sum of roots = [tex]-\frac{b}{a}[/tex]
Where b and a are the coefficients from the general form: ax³ + bx² + cx - d
We notice that for the given equation, b = -3 ; a = 2
Sum of roots = [tex]-(\frac{-3}{2})[/tex]
Sum of roots = [tex]\frac{3}{2}[/tex]
Hence, the sum of roots (r + s + t) = 3/2
Sum of roots taken two at a time:
We know that the Vieta's formula to find the sum of roots taken 2 at a time is: Sum of roots taken 2 at a time = [tex]\frac{c}{a}[/tex]
Where c and a are the coefficients from the general form: ax³ + bx² + cx - d
for the given equation, c = 4 ; a = 2
Sum of roots taken 2 at a time = [tex]\frac{4}{2}[/tex]
Sum of roots taken 2 at a time = 2
Hence, the sum of roots taken 2 at a time (rs + st + rt) = 2
Finding the value of r² + s² + t²:
We proved before that:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
now that we know the values of (r + s + t) and (rs + st + rt), we can plug those values to get our answer
r² + s² + t² = ([tex]\frac{3}{2}[/tex])² - 2(2)
r² + s² + t² = ([tex]\frac{9}{4\\}[/tex]) - 4
r² + s² + t² = [tex]\frac{9 - 16}{4\\}[/tex]
r² + s² + t² = [tex]\frac{-7}{4}[/tex] = -1.75
Hence, the value of r² + s² + t² is -1.75
Evaluate using P E M D A S 2 x 3 + 4
Step-by-step explanation:
We would do multiplication first, because of order of operations.
2x3=6
Now we add.
6+4=10
hope it helps! :3
18x^2-8=0 I have to factor it but I’m not sure how to! Please help!
Answer:
hope it helps...........
Answer:
[tex]x=-2/3, 2/3[/tex]
Step-by-step explanation:
Consuelo won the lottery. He can receive $100,000 or $3 on day 1, $9 on day 2, $27 on day 3... etc for 30 days. Which option will give Consuelo the most money?
how would I solve this? I'm not sure what to do on this question, don't give me the answer, just kinda tell me what to do
Answer:
ordü use uuuuuv bûsh!!!!!!!!!!
the Arizona Cardinals won nine games and lost seven games what is the ratio of the game won to games lost?
Answer:
9;7
Step-by-step explanation:
Can someone please help????
Answer:
your answer is the third one
Step-by-step explanation:
Answer:
its 4
Step-by-step explanation:
25 POINTS IF YOU ANSWER THIS AND PLEASE TELL ME WHAT K IS!!
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
Find a coordinate of a point and its image. k is the ratio of those.
Here, it is easy to use the y-coordinate of J and J'.
Jy = -1
J'y = -2
k = J'y/Jy = -2/-1 = 2
The scale factor k is 2.
Does the rule y = −2 · 2x represent a linear or an exponential function?
Exponential
which one should I pick??
Change the fraction to a decimal: 7/3 = _____
If the decimal repeats, show the repeating pattern twice.
(For example for 1/9, type 0.11)
Answer:
2.33
Step-by-step explanation:
7 divided by 3 will equal 2.33
-2.5 x 3 = with shown work pls
Answer:
7.5
Step-by-step explanation:
-2.5 x 3 = 7.5
Answer:-7.5
Step-by-step explanation:
(−2.5)(3)
=−7.5
Find the area of the figure. please have an explanation
Answer:
Step-by-step explanation:
[tex]\text{The area of a circle is }\pi r^2\text{ so the area of half a circle is }\frac{\pi r^2}{2}\\ \\ A=\frac{\pi 11^2}{2}\\ \\ A=\frac{3.14(121)}{2}\\ \\ A\approx 189.97cm^2[/tex]
Answer:
760.25
Step-by-step explanation:
The formula for the surface area of a sphere is A=4πr².
r=the radius, or half of the diameter, of the circle.
when you plug in the radius and answer the formula, you should get 1520.5.
You should then divide it by 2 since we are trying to find half of the circle.
helppppppp last questionnnnnnnnnnn
Answer:
They both include (-8,5)
Step-by-step explanation:
The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer: C
Step-by-step explanation: Because I said soooaiahi
What is 2x+7y=28 in slope intercept form
Answer:
y = -2/7x + 4
A polygon on a coordinate grid was transformed using the rule (x,y) -> (x-4,y-3). Which of these describes this transformation?
A: a translation 4 units to the left and 3 units down
B: a translation 4 units to the right and 3 units down
C: a translation 4 units to the left and 3 units up
D: a translation 4 units to the right and 3 units up
Can someone figure this out for me?
Answer:
44°
Step-by-step explanation:
cos B = 0.7193 = 44°
If x=−5, what is the value of 7−x(2x+1)?
Answjnweijfbiqwerf
Step-by-step explanation:
There are $15$ gymnasts in the Olympic women's competition, including $4$ Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded to three of the $15$ gymnasts, if exactly one of the Americans wins a medal?
Answer:
There are 220 ways by which the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal
Step-by-step explanation:
From the question, we have;
The number of gymnast in the Olympic women's competition = 15
The number of the gymnast who are Americans = 4
The number of medals awarded = 3 medals
The number of ways hat the medals can be awarded to the three of the gymnast if exactly one of the Americans wins a medal is given as follows;
The number of ways one of the medals can be won by one of the four Americans = ₄C₁ = 4 ways
The number of ways the other two medals can be won by the remaining 11 gymnast = ₁₁C₂ = 55 ways
Therefore, the total number of ways, 'N', the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal is given as follows;
N = ₄C₁ × ₁₁C₂
∴ N = 4 × 55 = 220
Aiden has 78 yard of ribbon. What is the maximum number of 116 yard-long pieces Marilyn can cut from this ribbon?
PLEASE HELP THIS IS DUE NOW
WILL GIVE BRAINLIEST!
Two angles of a triangle measure 45° and 87°. Find the measure of the third angle, in degrees. (Enter an exact number.)
°
Answer:
48
Step-by-step explanation:
All the angles of a triangle add up to 180
180-45-87=48
Hope this helps! If it did, please mark it brainliest!
P.S. Make sure not to fall for the link scams ;)
4 (3+ 1/4c -1/2d) = _____
4(3+14c−12d)
=(4)(3+14c+−12d)
=(4)(3)+(4)(14c)+(4)(−12d)
=12+c−2d
=c−2d+12