Answer:
a. 0.56
b. 0.262
c. 672
Step-by-step explanation:
Confidence interval:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the result of the subtraction between these two bounds divided by 2.
a. The point estimate of the population proportion is
Mean of the bounds. So
(0.298 + 0.822)/2 = 0.56
b. The margin of error is
(0.822-0.298)/2 = 0.262
c. The number of individuals in the sample with the specified characteristic is
0.56 of 1200. So
0.56*1200 = 672
A right triangular prism is shown.
6 in.
11 in.
8 in.
What is the volume in cubic inches of the prism? Enter only the number.
The volume in cubic inches of the prism is 528 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
The volume is calculated as:-
V = L x W x H
V = 6 x 11 x 8
V = 528 cubic inches
Therefore the volume in cubic inches of the prism is 528 cubic inches.
To know more about Volume follow
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(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
I need help please no links I will report
Answer: $1.45
Step-by-step explanation:
We start by subtracting the change from how much she payed for.
d = dollars | g = goldfish
[tex]16d - 0.05d = 15.95d[/tex]
Then we divide by the goldfish
[tex]\frac{15.95d}{11g} = 1.45d[/tex]
Our answer is 1.45!
Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.
Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.
Answer:
28 hours
Step-by-step explanation:
What is the slope of the line given by the equation y=-3X?
Answer:
The slope is -3
Step-by-step explanation:
y=mx+b
m=slope
m=-3
slope=-3
hope this helps!
please help me.......
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Let's use CAH 1st , on the Lenovo building, b/c we have they Hypotenuse (Hyp) and an angle and we want to know the other side of the Lenovo building
Cos(30) = x/294
294*Cos(30) = x
254.611 = x
Sin(30) = y / 294
294*Sin(30) = y
147 = y
perimeter = 147+254.611+294
perimeter Lenovo = 695.611 feet
For Asus building
hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 + 144.5*[tex]\sqrt{2}[/tex])^2 )]
hyp = 289
perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]
perimeter Asus = 697.7077
The difference of the two buildings is
697.7077 - 695.611 =2.09671 feet
the difference is 2.10 feet ( rounded to nearest 100th)
what is the distance between (8,-3) and (4,-7)
..I have tried
I don't know it is correct or not
hope it is helpful to you
Answer:
My sister has given correct answerThe table below represents students' favorite skittle color.
Using the table above, what is P( Boy|Green)?
6/17
4/17
2/3
3/20
Answer:
6/17
Step-by-step explanation:
number of boys who like green over total number of boys :
[tex] \frac{12}{34?} [/tex]
6/17
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
Which line is perpendicular to the y-axis and goes through (-3,7)?
Answer:
A
Step-by-step explanation:
x = -3 goes straight through -3, 7 vertically
What is the solution to the equation -x^3-4=0.5x^2+x+4
Answer:
x = −2
Step-by-step explanation:
the steps are super long but this is the answer
A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Find the value of the test statistic. Round to two decimal places.
A. Z= - 1.20
B. Z= -2.55
C. Z= -1.05
D. Z= -0.85
Answer:
B. Z= -2.55
Step-by-step explanation:
To solve this question, first we need to understand the central limit theroem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes 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]
Subtraction of normal variables:
When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
11 of 50 men believe that sexual discrimination is a problem:
This means that:
[tex]p_M = \frac{11}{50} = 0.22, s_M = \sqrt{\frac{0.22*0.78}{50}} = 0.0586[/tex]
19 of 40 women believe that sexual discrimination is a problem:
This means what:
[tex]p_W = \frac{19}{40} = 0.475, s_W = \sqrt{\frac{0.475*0.525}{40}} = 0.079[/tex]
Difference between the proportion of men and women:
[tex]p_D = p_M - p_W = 0.22 - 0.475 = -0.255[/tex]
[tex]s_D = \sqrt{s_M^2+s_W^2} = \sqrt{0.0586^2+0.079^2} = 0.0984[/tex]
A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.
This means that the null hypothesis is that they do not differ, than is, the difference is 0. So
[tex]H_0: p_D = 0[/tex]
At the alternate hypothesis, we test that they differ, that is, the difference is different of 0. So
[tex]H_a: p_D \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
For the sample, we calculated that:
[tex]X = -0.255, s = 0.0984[/tex]
The value of the test-statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.255 - 0}{0.0984}[/tex]
[tex]z = -2.59[/tex]
Closes answer is Z = -2.55, option B.
factorise the following binomial expression 2m+8m^2h
1. What is the m 2 in this parallelogram?
a) 115
b) 50
C) 15
d) 2
( IF I CAN ANSWER BOTH PLS DO )
Answer:
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}: [/tex]
[tex] \large{ \tt{ \angle \: DAC = \angle ACB = 50 \degree }}[/tex] { Since AD [tex] \parallel[/tex] BC & Being alternate angle }♨ [tex] \large{ \tt{ In \: \triangle \: ABC : }}[/tex]
[tex] \large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}[/tex] { Sum of angles of a triangle }
⇾ [tex] \large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree[/tex]
⇾ [tex] \large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}[/tex]
⇾ [tex] \large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}[/tex]
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}: [/tex]
♨ [tex] \large{ \tt{3x = 12}}[/tex] { Since the diagonals of parallelogram bisect each other }
⟶ [tex] \large{ \tt{x = \frac{12}{3}}} [/tex]
⟶ [tex] \large{ \boxed{ \tt{x = 4}}}[/tex]
Q. Can we set up an equation 2x = 8 in question number 2 ?
Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.
Hope I helped! ♡
Have a wonderful day / night ! ツ
[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
C. 15
D. 4
Step-by-step explanation:
Hope this helps
What is the factored form of 30x2 - 25x -30?
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
30x2 - 25x -30 Factoring
Step 2
30x2 - 25x -30 factor out the equation
5(3x+2)(2x-3)
Step 3
5(3x+2)(2x-3) Check by simplifying
When you check, you will get the question back
Answer
5(3x+2)(2x-3)
Hope this helps
3. Which of the following expressions is
equivalent to 6(9 + 4)? (Lesson 7.8)
Answer:
D
Step-by-step explanation:
6(g + 4)
we distribute the 6 to the terms in the parenthesis.
(6 × g) + (6 × 4)
(6g) + (24)
6g + 24
Solve for the missing side of this right triangle.
24 mi
16 mi.
Answer:
384
Step-by-step explanation:
I just went to my calculator and did 24×16 and I got 384
*HELP GIVING BRAINLIEST**
14. The table shows the survey results of exercises
people do regularly.
Which is based on the table
Answer:
A, B, and E are the correct options.
Step-by-step explanation:
You can see by the table shown, 12+25 people biked (37). The total of people that were surveyed would be 55 (the bottom right of the graph). Twelve people run but don't bike (down the first column to the left). Just follow the graph and you've got your answers!
Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT?
Question 7 options:
A)
m∠RST = m∠QRT – m∠QRS
B)
m∠QRT = m∠RST – m∠QRS
C)
m∠QRS = m∠RST – m∠QRT
D)
m∠QRS = m∠RST
Can you please help me I will give you 10 points if you do
Answer:
A=-1, B=2
Step-by-step explanation:
A is between -2 and 0, which is -1, and B is between 1 and 3, which is 2
1. Write the point-slope form of the equation of the line with a slope of 2 that
goes through the point (4,-4).
Answer:
y+4=2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-4)
y+4=2(x-4) point slope form
Stuck on this question. Any help?
Answer:
no 5 7 6
Step-by-step explanation:
Scale factor of 3 and 6
Answer:
3:6
3x2=6
Scale factor = 2
Step-by-step explanation:
An inequality is two expressions that are
NOT equal, unlike an equation.
True
False
HELP find the area of the triangle I’ll mark brainest
Answer:
31.5 units.
Step-by-step explanation:
Area = BC * distance from BC extended to A/2
A to BC extended and the line is vertical from A to BC extended = 7+2 units
A to BC extended and the line is vertical from A to BC extended = 9 units This becomes the height
h = 9 units
BC = 7 units
Area = 1/2 * h * BC
Area = 1/2 * 9 * 7
Area = 1/2 * 63
Area = 31.5
Find the measure of an arc formed by 1 slice of pizza
Benita spent 25% of her money on new shoes. The
shoes cost $20. How much money did she have
before buying the new shoes?
20 points!! please help me with this :)
Answer:
The third graph
Step-by-step explanation:
y intecepts at (0, 4) and (0, 12)
the slopes are up 1 over 3 and up 3 over 1
Not if this correct????
Step-by-step explanation:
(o, -2) is the correct answer because in -90°
P [x,y] =P' [y,-x ]
hope it is helpful to you
Von de som en bona pays 1. West End the stor 10 years when it is
The balance after 10 years is $
Answer:
10$
Step-by-step explanation: