Answer:
[tex]C. x = \frac{81}{4} = 20.25[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x+15=96[/tex]
[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+15-15=96-15[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x=81[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}=\frac{81}{4}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{81}{4}[/tex]
PLEASE HELP FAILING ...A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?
The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.
Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.
But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then
Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]
… ≈ Pr[Z < -2.0402]
… ≈ 0.0207
50, 60, 72, ...
Find the 8th term.
25 Points please help!!!
Answer:
The one you clicked on in the picture is correct
Step-by-step explanation:
By elimination you can tell that it is the bottom two answers (+3 is inverse of -3). And it is the answer you selected because it cube roots whats in parentheses. So you are correct with the answer you have selected right now
If f(1) = 9 and f(n) = -4f(n-1) + 4 then find the value of f(3).
Answer:
132
Step-by-step explanation:
f(1) = 9
f(n) = -4f(n-1) + 4
Let n = 2
f(2) = -4f(2-1) + 4 = -4 f(1) +4 = -4(9) +4 = -36+4 = -32
Let n = 3
f(3) = -4f(2-1) + 4 =-4f(2)+4 = -4 (-32) +4 = 128+4=132
SHOW YOUR WORK!!! PLEASE HELP!!! ASAP!!!!
Answer:
84
Step-by-step explanation:
TPS + SPR = RPT and TPS = RPT - SPR
The measure of RPT and SPR are given so we just need to place them and do the calculation
TPS = 137 - 53
TPS = 84
Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)
Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)
Answer:
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Step-by-step explanation:
To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.
We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]
For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]
For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]
For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]
Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].
In the diagram below of triangle K L M KLM, N N is the midpoint of K M ‾ KM and O O is the midpoint of L M ‾ LM . If m ∠ M L K = 3 x + 75 ∠MLK=3x+75, and m ∠ M O N = 93 − 3 x ∠MON=93−3x, what is the measure of ∠ M L K ∠MLK?
Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
Recall:
Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.
The diagram given, showing triangle KLM is in the image attached below.
m∠MLK and m∠MON are corresponding angles, therefore:
m∠MLK =m∠MON
Substitute3 x + 75 = 93 − 3 x
Solve for x3x + 3x = 93 - 75
6x = 18
x = 3
m∠MLK = 3 x + 75
Plug in the value of xm∠MLK = 3(3) + 75
m∠MLK = 84°
Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
Learn more about the Corresponding Angles Theorem on:
https://brainly.com/question/5221905
what is the complete factorization of the polynomial below
[tex] {x}^{3} - {2x}^{2} + x - 2[/tex]
[tex]a. (x - 2)(x + i)(x - i)[/tex]
[tex]b.(x + 2)(x - i)(x - i)[/tex]
[tex]c.(x + 2)(x + i)(x - i)[/tex]
[tex]d.(x - 2)(x - i)(x - i)[/tex]
Answer:
[tex]a. \ (x-2)(x+i)(x-i)[/tex]
Step-by-step explanation:
First of all let's notice that [tex](x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C}[/tex] while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of [tex](x-\alpha)[/tex] it means tha [tex]\alpha[/tex] is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)
[tex]p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0[/tex]
[tex]p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20[/tex]
At this point 2 is a zero, and our final factoring is a[tex](x-2)(x+i)(x-i)[/tex]
what does the E stand for in PEMDAS?
Answer:
Exponents
Step-by-step explanation:
Parentheses
Exponents and roots
Multiplication
Division
Addition
Subtraction
Help help math straightforward answer ASAP pelsss thanks
Answer:
55 degrees
Step-by-step explanation:
a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.
The bed of Jerry's pickup truck is 6 feet long. On
a scale model of the truck, the bed is 1/4 inch
What is the scale of the model?
6 ft
Answer:
1:4
Step-by-step explanation:
(1/4 in : 6 ft)
1/4 in : 6 (12 in)
1/4 in : 72 in
divide each side by 1/4
288/72 simplified is ...
1 : 4
Determine whether the following relation is a function. Then state the domain and range of the relation or function.
{(5,0), (4, -6), (0, -3), (3,4), (1,1);
Is this relation a function? Choose the correct answer below.
O A. Yes, because each first component corresponds to more than one second component
O B. No, because each first component corresponds to exactly one second component.
O C. Yes, because each first component corresponds to exactly one second component.
Answer: A
It is a function and no x values repeat . If the x values repeat more than then it's not a function.
Determine the intercepts of the line. Do not round your answers. 4x-3y=17
Answer:
[tex]\frac{17}4; -\frac{17}3[/tex]
Step-by-step explanation:
Option 1: check the intersection of the curve with both axis by plugging x=0 (y axis) and y=0 (x axis). You will get
[tex]x=0 \implies 0-3y=17 \rightarrow y=-\frac{17}3\\y=0 \implies 4x-0=17 \rightarrow x=\frac{17}4[/tex]
Option2: (my favourite. Divide by 17 both sides to write the equation as [tex]\frac xp + \frac yq = 1[/tex]: p and q will give you the two intercepts:
[tex]4x-3y=17 \rightarrow \frac{4}{17}x - \frac3{17}y = 1 \rightarrow \frac{x}{\frac{17}4}+ \frac{y}{-\frac{17}3}=1[/tex]
Again, the two intercepts are [tex]\frac{17}4; -\frac{17}3[/tex]
Answer:
The x-intercept is ( 17/4, 0 ), The y-intercept is ( 0, -17/3 ).
Step-by-step explanation:
The y-intercept of a graph is the point of intersection between the y-axis and the graph. Since the y-axis is also the line x = 0,x = 0 in the equation. x-value of this point will always be 0.
x-intercept of a graph is the point of intersection between the x-axis and the graph. Since the x-axis is also the line y=0 y=0y, equals, 0, the y-value of this point will always be
0.
To find the y-intercept, let's substitute x=0 y:4⋅0−3y=17
-3y=17
y = -17/3
So the y-intercept is (0, -17/3).
To find the x-intercept, let's substitute y = 0 into the equation and solve for x: 4x - (3⋅0) = 17
4x = 17
x = 17/4
So, the x-intercept is (17/4, 0).
In conclusion, The y-intercept is (0, -17/3).
The x-intercept is (17/4, 0).
Using y = 1 − 2x, plot the ordered pairs from the table. Then graph the function represented by the ordered pairs and tell whether the function is linear or nonlinear.
Helppp plzz due in 20 min
The local sales tax is 8% if a pair of shoes sells for $140 what is the cost after tax
Answer:
$151.2
Step-by-step explanation:
To find the price after the tax is implemented,
set a relationship x/140=8/100 (8/100) basically means 8%.
cross multiply (140)(8)=1120. Then divide it by 100x, you get $11.2.
But that's just 8 percent of the total amount. So you need to add onto the original price, 140+11.2=$151.2.
Brandon just got a job at a restaurant. He worked 7 hours and got paid $63. He earns the same amount each hour. How much did Brandon make each hour. In complete Sentence
Answer:
Brandon will make 9 dollars an hour while he works at the resturant
Step-by-step explanation:
63/7=9
Hi!
If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.
7 goes into 63 nine times, therefore he makes $9 per hour.
Hope this helps and let me know if you need any other help! :D
What Is 2x3
get it right
Answer:
6
Step-by-step explanation:
66
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−1) and ( − 6 , − 5 ).
Answer:
[tex]y = -x - 7[/tex].
Step-by-step explanation:
Slope of the given line segment:
[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].
The slope of any line perpendicular to this line segment would be:
[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].
Midpoint of the given line segment:
[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].
Simplifies to get:
[tex](-4,\, -3)[/tex].
Find the equation of the perpendicular bisector in point-slope form and simplify.
[tex]y - (-3) = (-1)\, (x - (-4))[/tex].
[tex]y + 3 = -x - 4[/tex].
[tex]y = -x - 7[/tex].
Which type of correlation does this scatterplot show?
1 42.6×37.2 =
2 99.2×48.5 =
3 246.3×9.67 =
4 68.54×24.4 =
5 123.86×31.5 =
Please i need answer
Answer:
1) 1584.72
2) 4811.2
3) 2381.721
4) 1672.376
5) 3901.59
Step-by-step explanation:
#keep learning:)How do I get the answer for exponents? Please explain step by step to get marked!
Answer:
4900
Step-by-step explanation:
70^2 means 70*70
70*70=4900
Answer:
you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.
If you subtract 3 from twice a number,the result is 25.find the number
14
This should be right!
Select all the correct answers.
Which three equations are equivalent to 1 +3|x-21 = 16?
O
X-2 = -5 or x - 2 = 5
X=-3 or x = 7
O
|x+2) = 5
0
x+2 = -5 or x+ 2 = 5
0
O
x=3 or x= -7
O
| x-2= 5
Answer:
Select all the correct answers.
Which three equations are equivalent to 1 +3|x-21 = 16?
O
X-2 = -5 or x - 2 = 5
X=-3 or x = 7
O
|x+2) = 5
0
x+2 = -5 or x+ 2 = 5
0
O
x=3 or x= -7
O
| x-2= 5
What is the range of y = sin x?
A. In
72 T
o
B. -1Sys1
c. -1SIS 1
o
D. All real numbers
Answer:
See below
Step-by-step explanation:
The function [tex]f(x)=sin(x)[/tex] oscillates between -1 and 1, so the range is [tex]-1\leq x\leq 1[/tex].
in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the votes would vote the same way again
Helpppo for an exammmm
Answer:
AAS
Step-by-step explanation:
i'd appreciate someones help !!!
Solve for angles x, y, and z. In the answer choices, the first number is for angle x. The second number is for angle y.
The third number is for angle z.
A)
65, 65, 65
B)
65, 115,65
C)
115, 65, 115
D)
115, 115, 115
I think its C sorry if its wrong
please explain how to do this. tried to solve but cant do it
Answer:
2.55km
Step-by-step explanation:
[tex]d=st[/tex]
where:
d=distance
s=speed
t=time
[tex]s=\frac{3.4 \ \text{km}}{\text{hr}}\\[/tex]
[tex]t=0.75 \text{hr}[/tex]
[tex]d=st=(\frac{3.4 \text{km}}{\text{hr}})(0.75 \text{hr}})=2.55 \text{km}\\[/tex]
Answer:
[tex]3\frac{2}{5}[/tex] × [tex]\frac{3}{4}[/tex] [tex]= 2\frac{11}{20}[/tex] km
= 2.55 km
8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components are inspected in one day. (10 points) b.What is the variance of the number that pass inspection in one day
Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.
For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:
[tex]V(X) = np(1 - p)[/tex]
In this problem:
95% pass final inspection, hence [tex]p = 0.95[/tex]120 components are inspected in one day, hence [tex]n = 120[/tex].The variance is given by:
[tex]V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7[/tex]
The variance of the number that pass inspection in one day is 5.7.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Solve for equation for x: 5^2 – 10x – 6 = 0
Answer: x= 1.9
Step-by-step explanation: