Answer:
-3x³ + 44x² - 43x + 10
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}&-3x&2\\x^2&-3x^3&2x^2\\-14x&42x^2&-28x\\5&-15x&10\end{array}\right][/tex]
= -3x³ + 2x² + 42x² - 28x - 15x + 10 = -3x³ + 44x² - 43x + 10
I WILL GIVE BRAINLIEST
Twelve students were asked, “How old is your oldest guardian?” They gave the following responses: 56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44. Which answer choice would represent the correct box plot?
Answer:
A
Step-by-step explanation:
56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44.
Put in order from smallest to largest
44,45,45,47, 49, 50, 50, 51, 55, 55, 55, 56,
The left side of the box plot is 44,
The right side of the box plot his 56
This eliminates C and D
The median is 12/2 = 6
44,45,45,47, 49, 50, 50, 51, 55, 55, 55, 56,
Take the 6 and the 7th terms and average
(50+50)/2 = 50
This is the line in the middle of the box
This eliminates B
Find the 8th term of the sequence
100, 20, 4, 4/5
__
1/4096
25/16394
25/256
4/3125
9514 1404 393
Answer:
(d) 4/3125
Step-by-step explanation:
The first term is 100 and the common ratio is 20/100 = 1/5. The explicit formula for terms of a geometric sequence is ...
an = a1·r^(n-1)
an = 100·(1/5)^(n-1)
Then the 8th term is ...
a8 = 100 ·(1/5)^(8-1) = 100·5^(-7) = 4/3125
Answer:
[tex]d. \: \frac{4}{3125} [/tex]
Step-by-step explanation:
HOPE IT HELPS MUCH UNTO YOUHelppppp 78 squared to the 3rd
Suppose 54% of the registered voters in a country are Democrats. If a sample of 770 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 52%? Round your answer to four decimal places.
Answer:
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose 54% of the registered voters in a country are Democrats. Sample of 770.
This means that:
[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]
What is the probability that the sample proportion of Democrats will be greater than 52%?
This is 1 subtracted by the p-value of Z when X = 0.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a p-value of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
Given the Graph, identify the y-intercept
Answer:
5
Step-by-step explanation:
Identify a possible measure of the reference angle sketched in standard position
300 degrees
60 degrees
-60 degrees
-300 degrees
Multiply.
(2x+1)(6x2+8x+9)
Answer: 12x^ 3 + 22x^ 2 +26x + 9
Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2
Answer:
See attachment for circle
Step-by-step explanation:
Given
[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]
Required
Draw and label the circle
The equation of a circle is:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where:
[tex]Center = (a,b)[/tex]
[tex]Radius = r[/tex]
So, we have:
[tex]Center = (5,-10)[/tex]
[tex]Radius = 6[/tex]
See attachment for circle
You have land that you would like to use to create two distinct fenced-in areas in the shape given below. You have 410 meters of fencing materials to use. What values of x and y would result in the maximum area that you can enclose
Answer:
[tex]x = \frac{205}{3}[/tex]
[tex]y =\frac{195}{4}[/tex]
Step-by-step explanation:
Given
[tex]p = 410[/tex] --- perimeter
See attachment for fence
Required
x and y
The perimeter of the fence is:
[tex]p = 2(x + y +5 + y) +x[/tex]
Open bracket
[tex]p = 2x + 2y +10 + 2y +x[/tex]
Collect like terms
[tex]p = 2x+x + 2y + 2y+10[/tex]
[tex]p = 3x + 4y+10[/tex]
Substitute: [tex]p = 410[/tex]
[tex]3x + 4y+10 =410[/tex]
Make 4y the subject
[tex]4y =410-10-3x[/tex]
[tex]4y =400-3x[/tex]
Make y the subject
[tex]y =\frac{400-3x}{4}[/tex]
The area (A) of the fence is:
[tex]A = (y + y + 5) * x[/tex]
[tex]A = (2y + 5) * x[/tex]
Substitute: [tex]y =\frac{400-3x}{4}[/tex]
[tex]A = (2*\frac{400-3x}{4} + 5) * x[/tex]
[tex]A = (\frac{400-3x}{2} + 5) * x[/tex]
Take LCM
[tex]A = (\frac{400-3x+10}{2}) * x[/tex]
Solve like terms
[tex]A = (\frac{410-3x}{2}) * x[/tex]
Open bracket
[tex]A = \frac{410x-3x^2}{2}[/tex]
Remove fraction
[tex]A = 205x-1.5x^2[/tex]
Differentiate both sides
[tex]A' = 205 - 3x[/tex]
To maximize; set [tex]A' =0[/tex]
[tex]205 - 3x =0[/tex]
Solve for 3x
[tex]3x = 205[/tex]
Solve for x
[tex]x = \frac{205}{3}[/tex]
Recall that: [tex]y =\frac{400-3x}{4}[/tex]
So, we have:
[tex]y =\frac{400-3*205/3}{4}[/tex]
[tex]y =\frac{400-205}{4}[/tex]
[tex]y =\frac{195}{4}[/tex]
j-27.5=3.9 solve for the variable
Answer:
31.4
Step-by-step explanation
I think
Use the order of operations to simplify the given expression. −2⋅[16÷(8−4)2]2
Help for finals for brainlist
Answer:
I would love to help what would be the first question
2. Identify the variables that are contained in the expression.
2m2 + 3mn + 4p
Answer:
m, n and p
Step-by-step explanation:
Given
[tex]2m^2 + 3mn + 4p[/tex]
Required
List out the variables
Literally, the variables are the alphabets in the expression
And they are:
m, n and p
please help me pleaseee!!
Answer:
AOB = 65
DOE = 35
AOC = 90
EOB = 115
DOB = 80
a line and a line segment are exactly the same. true or false
Answer:
false
Step-by-step explanation:
a line is infinite but a line segment has starting and end point. line segment is a small segment taken out from that infinite line
PLS HELP!! need the answer asap
Answer:
1.) 113 degrees and 2.) 67 degrees
Step-by-step explanation:
(x + 33) + (x - 13) = 180
Add like terms:
2x + 20 = 180
2x = 160
x = 80
x + 33 =
80 + 33 =
113 =
x - 13 =
80 - 13 =
67 =
Consider the quadratic function.
f(p) = p2 – 8p – 5
What are the values of the coefficients and the constant in the function?
Answer:
C) a = 1, b = –8, c = –5
Step-by-step explanation:
Which associations best describe the scatter plot?
Select each correct answer.
A) Nonlinear association
B) Positive association
C) Negative association
D) Linear association
Answers:
C) Negative association
D) Linear association
PLEASE HELP! Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a radius of 9 inches. Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation? Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Step-by-step explanation:
(1) 4/9 × 360° = 160°
(2) 9/4 rotations or 2¼ rotations
Which of the following is not a line shown in the drawing?
<--> <--> <--> <-->
AB DE EF DC
Answer:
DC
Step-by-step explanation:
It has through multiply points, and angular turns, causing it to not be a straight line.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
please helpp find the volume of each figure
Answer:
3.33
4.33
TVE figures is that
If f(x)=1/x
and g(X) = x-2, which of the following is the graph of
(f•g)(x)?
Answer:
The correct answer would be A) on edge.
Step-by-step explanation:
Edge 2021.
Which expression is equivalent to 250 + 150 ?
Answer:
if 25c + 15d = 0, then d = -25/15c
Step-by-step explan
just yes, that
Find the value x in the triangle shown below
Answer: 70º
Step-by-step explanation:there are two angles with the same measurement on the vertices, therefore with the same angle. A triangle has a sum of 180º in the inside angles. 55º+55º=110º, and 180º-110=70º
If 4 containers of yogurt cost $2.76, how many containers of yogurt can you purchase with $9.66?
14 containers
2.76 / 4 = 0.69
9.66/0.69= 14 containers
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77 boxes
Step-by-step explanation:
Take the total number of boxes and divide by the number of girls
1000 boxes / 13 girls
76.92307692
Round up
77 boxes
Check
77*13 = 1001 boxes
Answer:
77 boxes
Step-by-step explanation
Hello there! Let's solve this problem together:
First, we will review our numbers.
13 girls have to sell 1,000 boxes.
Now, we will do the math.
We will solve this problem by dividing.
We will keep multiply by one until we reach 1000 or more.
They have to each sell at least 77 boxes.
The owner of a quick oil-change business charges
$
36
per oil change and has
40
customers per day. If each increase of
$
3
results in
2
fewer dailer customers, what price should the owner charge (to the nearest
$
3
) for an oil change if the income from the business is to be as great as possible?
Answer:
the sun is actually a planet
Step-by-step explanation:
What’s the answer ? Help ASAP
Answer:
Probability [Number of product more than 12] = 5 / 9
Step-by-step explanation:
Given:
Total number of products = 9
Number of product more than 12 = 5
Find;
Probability = Number of favourable outcomes / Number of total outcomes
Probability [Number of product more than 12] = Number of product more than 12 / Total number of products
Probability [Number of product more than 12] = 5 / 9
Joe bought a car for $9,000 in 2013. His purchase has depreciated 2.5% every year since then. What was his car worth in 2019 to the nearest dollar?
a. $7650
b. $7732
C. $8350
d. $1602
Answer:
b. $7732
Step-by-step explanation:
Value of a depreciating product:
The value of a depreciating product, after t years, is given by:
[tex]V(t) = V(0)(1 - r)^t[/tex]
In which V(0) is the initial value and r is the decay rate, as a decimal.
Joe bought a car for $9,000 in 2013. His purchase has depreciated 2.5% every year since then.
This means that [tex]V(0) = 9000, r = 0.025[/tex]. So
[tex]V(t) = V(0)(1 - r)^t[/tex]
[tex]V(t) = 9000(1 - 0.025)^t[/tex]
[tex]V(t) = 9000(0.975)^t[/tex]
What was his car worth in 2019 to the nearest dollar?
2019 is 2019 - 2013 = 6 years after 2013, so this is V(6).
[tex]V(6) = 9000(0.975)^6 = 7732[/tex]
The correct answer is given by option b.
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.
Answer:
46.75 cm²
Step-by-step explanation:
The figure can be decomposed into 3 rectangles.
Area of the figure = area of rectangle A + area of rectangle B + area of rectangle C
✔️Area of rectangle A = L*W
L = 4 cm
W = 5½ cm = 5.5 cm
Area = 4*5.5 = 22 cm²
✔️Area of rectangle B = L*W
L = 8½ - (4 + 3) = 8½ - 7 = 1.5 cm
W = 5½ - 2 = 3.5 cm
Area = 1.5*3.5 = 5.25 cm²
✔️Area of rectangle C = L*W
L = 3 cm
W = 6½ cm = 6.5 cm
Area = 3*6.5 = 19.5 cm²
✔️Area of the figure = 22 + 5.25 + 19.5 = 46.75 cm²
