Answer:
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.
This means that [tex]n = 200, \pi = \frac{150}{200} = 0.75[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.}{2} = 0.975[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004[/tex]
As percent:
0.6996*100% = 69.96%
0.8004*100% = 80.04%.
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
True or False: y = x2 + 3 is a function.
A. True
B. False
Answer:
B
Step-by-step explanation:
Answer:
A. true
Step-by-step explanation:
Kyra has 850 beads to make a necklace for her friends. Each necklace will use 90 beads. How many necklaces will she be able to make
Answer:
9 necklaces with 40 extra beads
Answer:
Kyra will be able to make 9 necklaces using 810 beads. She'll have 40 beads left.
Step-by-step explanation:
850/90= 9 r40
please help? will give brainliest
Please solveeeeeeeee
Answer:
-4/7 =n
Step-by-step explanation:
2/3 ( 1+n) = -1/2 n
Multiply each side by 6 to get rid of the fractions
6*2/3 ( 1+n) =6* -1/2 n
4(1+n) = -3n
Distribute
4+4n = -3n
Subtract 4n from each side
4+4n -4n = -3n -4n
4 = -7n
Divide each side by -7
4/ -7 = -7n/-7
-4/7 =n
what is the average rate of change of f(x) = (x + 3)2 − 2
Answer:
When we have a function f(x), the average rate of change in the interval (a, b) is:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, we have the function:
f(x) = (x + 3)^2 - 2
(but we do not have the interval, and I couldn't find the complete question online)
So if for example, we have the interval (2, 4)
The average rate of change will be:
[tex]r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12[/tex]
If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).
Such that the rate of change, in this case, will be:
f'(x) = df/dx
For a function like:
g(x) = x^n + c
g'(x) = n*x^(n - 1)
And for:
h(x) = k( g(x))
h'(x) = k'(g(x))*g'(x)
So here we can write our function as:
f(x) = k(g(x)) = (x + 3)^2 - 2
where:
g(x) = x + 3
k(x) = x^2 - 2
Then:
f'(x) = 2*(x + 3)*1 = 2*x + 6
That is the rate of change as a function of x (but is not an "average" rate of change)
a = − 5 ; b = 7 ; c = 1 − 2 a + 4 b − c 2=
which expression correctly shows the sum of the product of 9 and 5 difference of 24 and 6?
Answer:
72
Step-by-step explanation:
When you multiply 9 and 5 you get 45. When you subtract 6 from 24 you get 18.
45 + 18 = 72
If helpful please mark me brainliest!
The correct expression for the sum of the product of 9 and 5 and the difference of 24 and 6 will be (9 × 5) + (24 -6) which will be equal to 63.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement in the question,
Product of 9 and 5 i.e., 9 × 5 and,
Difference of 24 and 6 i.e., 24 - 6
Thus sum will be,
(9 × 5) + (24 - 6)
The result of the expression is 63.
To know more about an expression:
https://brainly.com/question/14083225
#SPJ2
If a student is selected at random find the probability the student is a senior given that it's a female round to the nearest whole percent
Answer:
16%
Step-by-step explanation:
It says to find the probability the student is a senior given that it's a Female. So let's see. There are 19 females in total, and we're trying to figure out the probability that one of them will be a senior. Well, there are 3 female seniors.
[tex]\frac{3}{19\\}[/tex]
Divide 3 by 19 (not 19÷3, 3÷19)
=.157894736etc
You'll get a continuous decimal, but that's ok. The directions say round to the nearest whole percent. That means the percent should end up with no decimals.
16% (not 15.7, round it up instead to 16%)
Therefore, the answer is 16%. Hope this helps! :)
The probability of the student is a senior and female is 16%
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
It says to find the probability the student is a senior given that it's a Female. There are 19 females in total, and we're trying to figure out the probability that one of them will be a senior. Well, there are 3 female seniors.
The probability of the student being a senior and female is calculated as below:-
Divide 3 by 19 (not 19÷3, 3÷19)
Probability = 0.157894736 = 0.16
Probability = 0.16 x 100 = 16%
Therefore, the probability of the student is a senior and female is 16%
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
HELP!
On an 8 section spinner what is the propibility of spinning a number less then 6
Numbers less than 6,
[tex]nth(5,4,3,2,1) = 5 \\ p(n < 6) = \frac{5}{8} [/tex]
HELP HELP HELP HELP ...
Answer:
A - since the median can be any number we know of. B - Again the median can be any number we know of, since it is a undetermined amount. E - The range can be 10 flights, this is because it is not a determiend value, and it is possible for the value to be 10.
Step-by-step explanation:
Wrong answer reasoning:
The mode doesnt need to be 9 if there is more than 1 mode, so that isnt it. Eliminating D. The mean can most definatly be determinded if we know the values. This elimnates C. The mean can be 6.875, but we dont know, so we can assume it IS 6.875. This eliminates F.
Hope this helps!
Help pls I'll give briliantest to who ever is right
Answer:
12.2h + 18.2 yd^2.
Step-by-step explanation:
Surface area = 2hl + 2hw + 2lw where h = height, w = width and l = length.
= 2 * 2.6h + 2 * 3.5h + 2*2.6*3.5
= 5.2h + 7h + 18.2
= 12.2h + 18.2.
You toss a coin and roll a six-sided die twice. What is the probability of landing on heads, rolling a 2, and then rolling a 4?
Answer:
1/72
Step-by-step explanation:
The probability of landing on heads is 1/2
The probability of rolling a 2 is 1/6
The probability of rolling a 4 is 1/6
[tex]\frac{1}{2} *\frac{1}{6} *\frac{1}{6} =\frac{1*1*1}{2*6*6} =\frac{1}{72}[/tex]
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!!!!!!!!!!!!!!
Answer:
i thiiiink its b
Step-by-step explanation:
Use the graph of f to find f(2).
A. 0.5
B. -0.5
C. Does not exist
D. -8
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
84,327.50 cubic meters
Step-by-step explanation:
Volume of a cone 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 25^2 x 129 = 84,327.50 cubic meters
given m//n find the value of x. see attachment.
Answer:
look at the picture i have sent
Write an algebraic expression for the situation.
3.2 less than a number m
Answer:
m - 3.2
Step-by-step explanation:
Which triangles are similar?
What is the equation of the trend line in the scatter plot ?
Answer:
Equation: -3x + 18
Hope this helps!
What is the range of the function graphed below?
Answer:
[tex]-\infty < y < -2[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The range of the graph
From the graph we can see that the curve points down towards the y-axis,
This means that y starts from a [tex]-\infty[/tex] number
Coming up, the curve stops increasing at 2 and becomes horizontal; This means that y ends at 2
Hence, the range is: [tex]-\infty < y < -2[/tex]
how to use a compass
Answer:
Get to Know the Parts of a Compass. Baseplate: Clear, so you can see the map below it, it has at least one straight edge for taking bearings and
Adjust Declination. North on a map is easy to find (it’s at the top)
Orient Your Map
Take a Bearing
I hope this helps :3
Find the length of the unknown side.
25 cm
15 cm
Answer:
b = 20 cm.
Step-by-step explanation:
Define and explain:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
Solve:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-hypotenuse[/tex]
[tex]15^2+b^2=25^2[/tex]
[tex]225+b^2=625[/tex]
[tex]625-225=400[/tex]
[tex]b^2=400[/tex]
[tex]b=20[/tex]
Conclude:
Therefore, the length of the unknown side is 20 centimeters.
Chloe wants to buy a shirt at the store that cost $14.99. She also wants to
buy a pair of shoes that cost $25.99. She has a coupon for x dollars off her
entire purchase. She spends a total of $30.98 at the store. Which equations
could be used to find the value of the coupon, X. Choose all that apply. *
14.99 + 25.99 - X
14.99 + 25.99 - X = 30.98
40.98 - x = 30.98
14.99 - X + 25.99 = 40.98
Answer:
14.99 + 25.99 - X = 30.98
14.99 + 25.99 - X
Step-by-step explanation:
They all relate to what the question is asking, and make the most sense
plz help meeeeeeeeeeeeee
Answer
x=52/5
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators next
Cancel multiplied terms that are in the denominator after that you
Multiply the numbers
Answer choices are based off of picture
A
B
C
D
Answer:
I think A
hope it's help.
Given to
BE
EC
Prove: AB || DE
A
D
3
C
1
2
E
B
Complete the steps of the proof.
Answer:
Step-by-step explanation:
Given:
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
To Prove:
AB║DE
Solution:
Since, corresponding sides of ΔACB and ΔDCE are proportional,
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
Both the triangles will be similar.
ΔACB ~ ΔDCE [By SAS property of similarity]
Therefore, ∠1 ≅ 2 [CPCTC]
Since, ∠1 and ∠2 are the corresponding angles
Therefore, AB║DE [Converse of corresponding angles theorem]
Solve for x. Each figure is a parallelogram
Answer:
Step-by-step explanation:
THe sides are the same length
11=x+5
x=6
Suppose the sphere below with radius r has a surface area equal to 45 units
Find the surface area of the sphere with twice the radius.
-21-
o
A. 180 units2
B. 180 units 3
C. 90 units
D. 90 units 3
Answer:
180 units 2 ..............
To earn a bonus in a video game, you much find 25 out of 40 gems. Do you get the bonus? Explain
Answer:you in go formative
Step-by-step explanation:??Right
joe had 4.03 clip's and 5.09 clip's how much wood this be
Answer:
3/4 x 56 = 42 = Joe
2/7 x 42 = 12 = Keith
Clue: the word 'of ' tells us that we need to multiply.