Answer:
d.1.96(0.0632)
Step-by-step explanation:
The margin of error for a 95% confidence interval for the population proportion calculated as below:
Given that x = 8
n = Size of the sample = 40 (Large sample)
Sample population: P=x/n = 8/40 = 0.2; q = 1-p = 0.8
Standard error = [tex]\sqrt{pq/n}[/tex] = [tex]\sqrt{0.2(0.8)}/40[/tex] = 0.0682
95% of confidence Z∝ = 1.96
Margin of Error = Z∝ .[tex]\sqrt{pq/n}[/tex]
Margin of Error = 1.96(0.0682)
So, therefore, option d is correct.
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:
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
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.
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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
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.
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)
A coin is flipped 150 times. The results of the experiment are shown in the following table:
Heads Tails
84 66
Which of the following statements best describes the experimental probability of getting heads?
Group of answer choices
It is equal to the theoretical probability.
It is 6% lower than the theoretical probability.
It is 6% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answer:
The answer would be C. It is 6% higher than the theoretical probability.
Answer:
The correct answer is C. It is 6% higher than the theoretical probability.
Step-by-step explanation:
This is correct, I took the test.
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
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
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
An inequality is two expressions that are
NOT equal, unlike an equation.
True
False
In triangle QRS, what is the approximate measure of angle Q?
OA. 87.7°
O B.93.2°
OC. 96.9°
OD. 45.99
The approximate measure of angle Q will be 93.2°. Then the correct option is B.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.
Then the approximate measure of angle Q will be given as,
RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²
21² + 23² – 2 × 23 × 21 × cos Q = 32²
441 + 529 – 966 cos Q = 1024
970 – 966 cos Q = 1024
966 cos Q = – 54
cos Q = – 54 / 966
cos Q = – 0.0559
Q = 93.2°
The approximate measure of angle Q will be 93.2°.
Then the correct option is B.
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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
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
1
1 unit
Area of the rectangle:
Area of the triangle:
Area of the figure:
O square
units
square units
square units
Stuck on this question. Any help?
Answer:
no 5 7 6
Step-by-step explanation:
The 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
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
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!
*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!
What is the mean of the data set below?12, 11, 14, 14, 14, 12, 7
How often should I study math per week?
I usually study every day but that's really tiring for me
I know this isn't the perfect place to put this question but I have no one else to ask sooo
Step-by-step explanation:
math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.
there is not a one sized fits all answer, do what's best for you.
Answer:
I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.
Step-by-step explanation:
factorise the following binomial expression 2m+8m^2h
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.
Find the measure of an arc formed by 1 slice of pizza
Scale factor of 3 and 6
Answer:
3:6
3x2=6
Scale factor = 2
Step-by-step explanation:
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
What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro
Answer:45
Step-by-step explanation:
The value of x by the given data is 190/3 or 63.33
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The angles between the lines
Now,
To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:
30° + (3x)° + (-40)° = 180°
Simplifying, we get:
(3x)° - 10° = 180°
Adding 10° to both sides, we get:
(3x)° = 190°
Dividing both sides by 3, we get:
x = 190/3
Therefore, by algebra the answer will be 190/3 or 63.33.
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Benita spent 25% of her money on new shoes. The
shoes cost $20. How much money did she have
before buying the new shoes?
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