9514 1404 393
Answer:
x^3 -4x^2 +12x -27
Step-by-step explanation:
Use the distributive property.
= (x^2 -x +9)(x) +(x^2 -x +9)(-3)
= x^3 -x^2 +9x -3x^2 +3x -27
= x^3 -4x^2 +12x -27 . . . . . collect terms
Which number line expression shows how to find the distance from 2 to -5?
Answer:
5+2=7
Step-by-step explanation:
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answer:
x-intercept: (-40, 0)
y-intercept: (0, 15)
Step-by-step explanation:
The x-intercept is the value of x when y = 0. By looking at the graph, you can tell when y = 0, x = - 40. The x-intercept is the point that crosses the x-axis.
The y-intercept is the value of y when x = 0. By looking at the graph, you can tell y = 15 when x =0. The y-intercept is the point that crosses the y-axis.
In the year 2004, a survey was undertaken to find whether citizens of a certain political party supported their party's candidate for governor. In a sample of 300 citizens of this party, 95% of them expressed support for their party's candidate. A similar survey was conducted four years later and showed that 91% of a sample of 350 citizens of this party expressed support for their party's candidate. Construct a 95% confidence interval for the difference in population proportions of citizens of this party who supported their gubernatorial candidate in 2004 and citizens of this party who supported their gubernatorial candidate four years later. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.) z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576
Answer:
The 95% confidence interval for the difference in population proportions is (0.001, 0.079).
Step-by-step explanation:
The (1 - α)% confidence interval for the difference in population proportions is:
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]
The information provided is as follows:
[tex]\hat p_{1}=0.95\\\hat p_{2}=0.91\\n_{1}=300\\n_{2}=350\\[/tex]
The critical value of z for 95% confidence level is 1.96.
Compute the 95% confidence interval for the difference in population proportions as follows:
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]
[tex]=(0.95-0.91)\pm 1.96\times\sqrt{\frac{0.95(1-0.95)}{300}+\frac{0.91(1-0.91)}{350}}\\\\=0.04\pm 0.0388\\\\=(0.0012, 0.0788)\\\\\approx (0.001, 0.079)[/tex]
Thus, the 95% confidence interval for the difference in population proportions is (0.001, 0.079).
Use base ten blocks or an area model to find the product. 2.1 x 1.5
A small airplane flew 104 miles in 50 minutes. At this rate, how many miles can it fly in one hour? (50 minutes = 56 hour)
Answer:
124.8 miles
Step-by-step explanation:
104 divided by 5 equals 20.8, then 20.8 times 6 equals 124.8
what is the solution for the following equation? 3(a-7)=14-4a
Answer:
a= 5
Step-by-step explanation:
3 (a-7)= 14-4a -Remove Parentheses
3a-21=14-4a -Move the terms
3a+4a=14+21 -Collect like terms
7a=35 -Divide both sides
a=5 - Solution
the set of letters in the word mathematics is finite?
Answer:
Yes
Step-by-step explanation:
Point J is between H and K on line segment HK. Use the given information to solve for X. Also find the length of line segment HJ.
HK = 33
HJ = 3x-4
JK = 2x+7
X= ?
The length of line segment HJ= ?
Answer:
x=-3, so now u plug it in, 3(-3)-4=?
answer: HJ is -13.
Using line segments concepts, it is found that:
The value of x is 6.The length of line segment HJ is 14.-------------------------------
Point J is between H and K in a line segment HK, thus:[tex]HK = HJ + JK[/tex]
-------------------------------
We are given that:
[tex]HK = 33[/tex][tex]HJ = 3x - 4[/tex][tex]JK = 2x + 7[/tex]Thus, replacing into the equation, it is possible to solve for x.
-------------------------------
[tex]HK = HJ + JK[/tex]
[tex]33 = 3x - 4 + 2x + 7[/tex]
[tex]5x + 3 = 33[/tex]
[tex]5x = 30[/tex]
[tex]x = \frac{30}{5}[/tex]
[tex]x = 6[/tex]
The value of x is 6.
-------------------------------
The length of line segment HJ is:
[tex]HJ = 3x - 4 = 3(6) - 4 = 18 - 4 = 14[/tex]
A similar problem is given at https://brainly.com/question/24476050
The surface area of a sphere with a diameter of 12 units is:
Answer:
452.39
Step-by-step explanation:
Using the formula
A=4pi r ^2
D=2r
A=pie r d^2
= pi. 12^2
=452.39
Please I need some answers one or two are fine
Answer:
A. 10,000
B. 1,000,000
C. 10,000,000,000
D. 1,000,000,000,000
Step-by-step explanation:
10,000/ 10∧4 = 1
1,000,000/ 10∧6 = 1
10,000,000,000/ 10∧10 = 1
1,000,000,000,000/ 10∧12 = 1
Hope this helps! Good luck!
Madison's checking account had a balance of - $45. Then she wrote a check to pay her utility bill for $34. Write an expression to represent Madison's situation.
what is 3 + 2x = -6x + 4
Answer:
x = 1/8
Step-by-step explanation:
Hahaha A little help? Plss
Answer:
Step-by-step explanation:
6/58=3/29
Answer:
3/29
Step-by-step explanation:
What is this simplified step by step
QUESTION 1 Let’s say that an investigator is interested in the effects of caring for a person with ALS (Lou Gehrig’s disease) on physical and mental health. In particular, the researcher wants to know whether ALS caregivers suffer from clinically elevated levels of depression. They administer the Beck Depression Inventory (BDI) to 20 ALS caregivers. Scores on the BDI range from zero to 40. Scores at or above 25 are considered to reflect clinically significant levels of depression. The mean depression score for the 20 caregivers in the sample is 28. The standard deviation for this sample is 3.0. Do these data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25? This example is not a perfect example of a "true experiment," so the independent and dependent variable are not as clearly identifiable as some other examples. In this example, what is the dependent/outcome variable? Beck Depression Inventory scores How many ALS caregivers there are in the study Whether the caregivers are taking care of someone who has ALS vs. cancer The ALS caregivers vs. the national norms for adults
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25
dependent/outcome variable
Generally the dependent variable is Beck Depression Inventory (BDI) scores because the score are dependent on the ALS caregivers
Step-by-step explanation:
From the question we are told that
The sample size is n = 20
The population mean is [tex]\mu = 25[/tex]
The sample mean is [tex]\= x = 28[/tex]
The standard deviation is [tex] s = 3.0[/tex]
The null hypothesis is [tex]H_o : \mu = 25[/tex]
The alternative hypothesis is [tex]H_a : \mu > 25[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]
=> [tex]z= \frac{ 28 -25 }{ \frac{3.0}{\sqrt{20 } } }[/tex]
=> [tex]z= 4.47[/tex]
Generally the probability of z from the z- table is
[tex]p-value = P(Z > 4.47) = 0.000[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25
Generally the dependent variable is Beck Depression Inventory (BDI) scores because the score are dependent on the ALS caregivers
is it A B C D Pls tell me
20 is 1000 times of 0.02. Correct answer is option C.
What is Decimal ?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, given value
0.02 = 002/100
= 2/100
On multiply numerator and denominator by 10, we get
0.02 = 20/1000
or 20 = 1000 X 0.02
Thus, 20 is 1000 times of 0.02.
Learn more about Decimal Number from:
https://brainly.com/question/4708407
#SPJ1
Fill in the value which would complete the square:
X^2 + 10x +____
Answer:
25
Step-by-step explanation:
(x+5)(x+5)=x(x+5)5(x+5)
=x^2+5x+5x+25
=x^2+10x+25
i hope it is clear
Of the 50 students in mr motchells classes 60% are girls on friday 20% of the girls in the classes wore jeans how mnay girls wore jeans
Answer:it would be 20
Step-by-step explanation:
Answer: 20.
Step-by-step explanation: 60% of 50 is 30 (students). 20% of it would be 20 (students).
3
d
Gulliver's Travels
11
10
9
8
Distance imesi
2
1 2 3 4 5 7 8 9 10
Time thous)
Given the graph of the function D(t) of Gulliver's Travels. The function d(t) represents Gulliver's
distance from home after t hours. What is the value of D(3)? *
(1 Point)
Answer: D(3) = 4 miles according to the graph.
Step-by-step explanation:
Look for the 3 on the time scale at the bottom of the graph. Follow the grid line straight up to where it meets the graphed line. Follow the grid line to the distance scale at the left to find the value at that point. It is 4 miles.
(30 points!)
determine which lines are parallel??
Answer:
looks like the parallel lines are "l" and "n"
Step-by-step explanation:
when two lines are parallel, they should be across from each other going the same way. For example: / / , or \ \ sometimes even on top of each other. It can't be line "m" because it seems a little slanted. Parallel lines have to be the same length and same size. It can't be line "t" because the line is going in a different direction.
put the steps for the deriving for the area of a triangle in the correct order
Answer:
See Below.
Step-by-step explanation:
Steps:
1) Draw the altitude of the triangle from Vertex B to side CA and label it h.
2) Find [tex]\sin(C)[/tex] of the triangle.*
3) [tex]\displaystyle \sin(C)=\frac{h}{a}[/tex]
4) Solve for h.
5) [tex]h=a\sin(C)[/tex]
6) Substitute expression for h into traditional formula for area of a triangle,[tex]\displaystyle A=\frac{1}{2}bh[/tex].
7) [tex]\displaystyle A=\frac{1}{2}ba\sin(C)=\frac{1}{2}ab\sin(C)[/tex]
(We acquire two right triangles after drawing h since it is an altitude. We will use the smaller of the two.)
Vaughn paints his porch floor and also the porch floors of 9 neighbors. Each floor is a rectangle that is 8.4 feet long and 6.9 feet wide.
Answer:
579.6 ft²
Step-by-step explanation:
10(8.4×6.9)
Answer:
521.64
Step-by-step explanation:
first you do 8.4 times 6.9 which gets you 57.96 and then you multiply that my 9 which gets you 521.64.
when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?
cousin
1/20 inches
Step-by-step explanation:Hi there !
cousin
21 4/5 = (21×5+4)/5 = 109/5
friend
21 3/4 = (21×4+3)/4 = 78/4
lcm(4 ; 5) = 20
⁴⁾109/5 = 436/20 (cousin)
⁵⁾87/4 = 435/20 (friend)
436/20 > 435/20
cousin > friend
436/20 - 435/20 = 1/20 inches longer (cousin)
Good luck !
what is -3(2u-3w-4)
please answerr
Answer:
-6u +9 w +12
Step-by-step explanation:
how does the graph below change between point A and point B?
I am not able to solve this because there is no graph shown.
how do you take the square root of a perfect square variable
What is 9.2568×10−3 written in standard form?
Answer:
80 9. 0.5 0.06 0.008 (89.568)
Step-by-step explanation:
9.2568x 10-3 would equal 89.568
(-2k^3-7k^2+5k) + (6k^2+3k)
Answer:
-2k³+6k²+k+9
Step-by-step explanation:
10 yd
4 yd
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
square yards
What is the answer of the green portion?
Answer : The area of the shaded portion is 33.72 yd².
Step-by-step explanation :
Given:
Length of the box = 10 yd
Width of the box = 4 yd
Area of the shaded portion = Area of rectangular box - Area of half circle
First we have to calculate the area of rectangular box.
Area of rectangular box = Length of the box × Width of the box
Area of rectangular box = 10 yd × 4 yd
Area of rectangular box = 40 yd²
Now we have to calculate the area of half circle.
As we know that:
Area of circle = π × r²
where,
r = radius of circle
Area of half circle = [tex]\frac{\pi \times r^2}{2}[/tex]
Radius of circle = [tex]\frac{4yd}{2}=2yd[/tex]
Area of half circle = [tex]\frac{3.14 \times (2yd)^2}{2}[/tex]
Area of half circle = 6.28 yd²
Now we have to calculate the area of the shaded portion.
Area of the shaded portion = Area of rectangular box - Area of half circle
Area of the shaded portion = 40 yd² - 6.28 yd²
Area of the shaded portion = 33.72 yd²
Therefore, the area of the shaded portion is 33.72 yd².
put -3, 1 3/4, -0.5 and 3 least to greatest to least.
Answer:
-3, -0.5, 1 3/4, 3
Step-by-step explanation: in a number line negative is always less than positive so the bigger the negative number the more is goes down on the number line so that's why -3 is smaller then -0.5 because -0.5 is closer to positive than -3