Answer:
A sample of 307 is needed.
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this question, we have that:
We dont know the true proportion of women police officers, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size would be needed.
92% confidence level
So [tex]\alpha = 0.08[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.08}{2} = 0.96[/tex], so [tex]Z = 1.75[/tex].
How large should a sample be if the margin of error is .05 for a 92% confidence interval
We need a sample of n, and n is found when [tex]M = 0.05[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.75\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.75*0.5[/tex]
[tex]\sqrt{n} = 17.5[/tex]
[tex](\sqrt{n})^2 = (17.5)^2[/tex]
[tex]n = 306.25[/tex]
Rounding up
A sample of 307 is needed.
Raul simplified the expression, as shown below.
–[3h + 7h(2 – h)] = –[10h(2 – h)] = –[20h – h] = –19h
Describe the error(s) in Raul’s work.
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
[tex]-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h[/tex]
Answer:
he should have worked out 7h(2 - h) first before adding the 3h. (first step)
2nd step he multiplied the 2 by -10h but he also should have multiplied the -h by the -10h ( Distributive law)
Step-by-step explanation:
Got it right on edge
The midpoint of segment QR is M(-2, 9). One end point of segment QR is Q(-8, 12). Find the coordinates of the other endpoint, R.
Here,
The midpoint of segment QR is M
m(-2,9) x3=-2,y3=9
Q=(-8,12)x1=-8,y1=12
R=x2,y2
we know that,
[tex]\tt{ m=\dfrac{Q+R}{2} }[/tex] ⠀
So,
x3=[tex]\tt{\dfrac{x1+x2}{2} }[/tex] ⠀
[tex]\tt{-2=\dfrac{-8+x2}{2} }[/tex] ⠀
[tex]\tt{-2×2=-8+x2 }[/tex] ⠀
[tex]\tt{x2=8-4 }[/tex] ⠀
[tex]\tt{x2=4 }[/tex] ⠀
x2=4
now we find the y coordinate y2.
y3=[tex]\tt{\dfrac{y1+y2}{2} }[/tex] ⠀
[tex]\tt{9=\dfrac{12+y2}{2} }[/tex] ⠀
[tex]\tt{9×2=12+y2 }[/tex] ⠀
[tex]\tt{y2=18-12 }[/tex] ⠀
[tex]\tt{y2=6 }[/tex] ⠀
y2=6
Now we get the two coordinate of R
so,
R=(x2,y2)=(4,6)
A cheetah ran 3/4 of a mile in 2.5 minutes. At this rate how far can the cheetah run in one minute?
Answer:
0.3 or in fraction form 3/10
Step-by-step explanation:
3/4 = 3/10
2.5 1
Simplify.
15 – (–3) – 4
–16
–8
14
22
Answer:
14
Step-by-step explanation:
Two negatives equal a positive so
15+3-4
In order we solve from left to right
18-4
14
Our answer is 14!
A storage bin in the corner of Joe’s room has the dimensions shown below. What is the volume of the bin?
Answer:
36
Step-by-step explanation:
Break it into parts to make it easier. The equation would become 16+12+8 which is 36
Brainliest is highly appreciated and goodluck!
I have over 300 overdue assignments and they have to be done in about two weeks what should I do
Answer:
You should use Brainly so that we can help.
Step-by-step explanation:
Answer:
Do it.
Step-by-step explanation:
Tamia uses 1.5 cups of water when preparing 1 package of instant mashed potatoes. How much water will she use if she has 2.5 packages of instant mashed potatoes to prepare?
A. 7 20/21
B. 3.75
C. 1/36
D. 2.57
E. 66
HELP PLEASEEE
The table shows the relationship between the number of sunflower seeds and the number of packages of sunflower seeds.
Which rule describes the values in the table?
Number of Seeds, x 15 30 45 60
Number of Packages, y 1 2 3 4
Answer:
Step-by-step explanation:
Help me
Answer:
y=15+x
Step-by-step explanation:
Pls help urgently extra points and mark brainlist
Answer: -30
Step-by-step explanation:
Which expression is equivalent to 2x + 2x + 2y + 2y?
add like terms. y's and x's go with other y's and x's
I’m stuck on this problem, please help!! It’s timeddd!!
Answer:
7x+8+8x+7+45=180
15x+15+45=180
15x+60=180
15x=120
x=8
7×8+8= 64
If 3x-18=186 what is the value of x
Answer:
x = 68
Step-by-step explanation:
[tex]3x-18=186\\\\3x=186+18\\\\3x=204\\\\x= \frac{204}{3}\\\\x=68[/tex]
Can someone show me what is 5% of 34 and show me how to breakdown the equation?
Given the following diagram, which of the following equations is correct?
х
25°
4
4
т
4.
cos(25)
sin (25)
sin(25
cos ( 1 ) = 25
4
Use the Distributive Property to simplify:
0.5(1.1 – 2x) + 2.4x – 2.10
A 1.4x – 1.55
B 1.4x + 0.3
C 3.6x + 4.5
D 4.9x – 3.7
Answer:
=0.5(1.1) - 0.5(2x)+2.4x-2.10
=0.55-x+2.4x-2.10
=1.4x-1.55
Ans A
Complete the table, and graph the pairs of values.
Which of the following are the appropriate LaTeX: f\left(x\right)f ( x ) and LaTeX: g\left(x\right)g ( x ), for LaTeX: H\left(x\right)=\cos\left(2x^2-1\right)H ( x ) = cos ( 2 x 2 − 1 ) for LaTeX: H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = ( f ∘ g ) ( x )? Group of answer choices
Answer:
[tex]f\left(x\right)=\cos\left(x\right)\: and\:\: g\left(x\right)=\left(2x^2-1\right)[/tex]
Step-by-step explanation:
We have, [tex]H\left(x\right)=\cos\left(2x^2-1\right)H ( x )[/tex]
[tex]=\cos\left(2x^2-1\right)[/tex]
And [tex]H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = \left(f\:\circ\:g\right)( x )[/tex]
[tex]\Rightarrow \left(f\:\circ\:g\right)(x)=\cos\left(2x^2-1\right)[/tex]
Now, [tex]f\left(x\right)=\cos\left(x\right)[/tex] and [tex]g\left(x\right)=\left(2x^2-1\right)[/tex]
please help! NEED IT IMMEDIATELY
Aunt Mary had only 2 quarts of milk. How many cups would this be?
A.
4 cups
B.
5 cups
C.
6 cups
D.
8 cups
Answer:
8 cups
Step-by-step explanation
8 cups. There are 2 cups in one pint and two pints in one quart. To Get 8 cups all you do is multiple the quartz by 2 to get the amount of pints, and multiply the pints by 2 to get the number of cups. Thus the equation would be 2 * 2 = 4 and 4 * 2 = 8.
Answer:
D. 8 cups
Step-by-step explanation:
1 Quart is 4 cups therefore you multiply
4 x 2 = 8
noted psychic was tested for extrasensory perception (ESP). The psychic was presented with 400 cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, or square. The psychic was correct in 120 cases. Let p represent the probability that the psychic correctly identified the symbols on the cards in a random trial. How large a sample n would you need to estimate p with margin of error 0.01 and 95% confidence
Answer:
A sample of 11352 is needed.
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
400 cards, 120 cases were correct. So
[tex]p = \frac{120}{400} = 0.3[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 and 95% confidence
We would need a sample of size n, and n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 2.325\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 2.325\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{2.325\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.325\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 11351.8[/tex]
Rounding up
A sample of 11352 is needed.
please simplify this: -32x⁸/4x²
Answer: -8x^6
Step-by-step explanation:
-32x^8/4x^2=
-32x^6/4=
so the answer is -8x^6
what is 357 divisible by?
Answer:
4
Step-by-step explanation:
Answer:
1,3,7,17,21,51,119,357
Step-by-step explanation:
I hope this helps, and have a nice day!
What is 1+1x29x78... Help
Answer:
2263
Step-by-step explanation:
1 + 1 x 29 x 78
1 + 29 x 78
1 + 2262
2263
How do you find the foci of an ellipse?
Answer:
Use the formula
Step-by-step explanation:
c2=a2−b2...The formula generally associated with the focus of an ellipse is c2=a2−b2 where c is the distance from the focus to center , a is the distance from the center to a vertex and b is the distance from the center to a co-vetex .
Which one has the exact same amount of coins as the one above?
Answer:
its b
count them!
Answer:B
Step-by-step explanation:
I am pretty sure it is b
I don't know how to do this
What is the value of (-5)~4 please help 20 points!
Answer:
625
Step-by-step explanation:
(-5)(-5)(-5)(-5) = 625
Help me please...........
Answer: Between A, B, C, or D
Step-by-step explanation: Hope this helps!
Nick wants to estimate the percentage of customers that would be satisfied with the company. He surveys 150 randomly selected customers to determine whether or not they were satisfied. What is the sample
Answer:
The sample is the 150 randomly selected customers.
Step-by-step explanation:
When you survey a group of people, to gauge whaever you are interested, these people are what makes your sample.
In this question:
Nick surveys 150 randomly selected customers to determine whether or not they were satisfied.
So the sample is the 150 randomly selected customers.
Will give brainliest
Answer: 1) on the x axis.
Step-by-step explanation:
Every coordinate ,where y is 0, lies on the x axis.