Answer:
The probability is [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.49[/tex]
The sample size is n = 896
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma_{p} = \sqrt{ \frac{p(1 -p )}{n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{ \frac{0.49(1 -0.49 )}{896} }[/tex]
=> [tex]\sigma_{p} = 0.0167[/tex]
Generally the the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is mathematically represented as
[tex]P( |\^ p - p | < 0.03 ) = P( \frac{ | \^ p - p|}{\sigma_p } < \frac{0.03}{0.0167} )[/tex]
[tex]\frac{|\^ p - p |}{\sigma_p } = |Z| (The \ standardized \ value\ of \ |\^p - p| )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(|Z| < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(- 1.796 < Z < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(1.796 < Z) - P(Z < -1.796 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.796 and - 1.796 is
[tex]P(Z < -1.796 ) = 0.036247[/tex]
[tex]P(1.796 < Z) = 0.96375[/tex]
So
[tex]P( |\^ p - p | < 0.03 ) = 0.96375 - 0.036247[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
Can somebody answer this math question I’m lost
Please help me thanks in advance!!!
Answer:
9
Step-by-step explanation:
Is 30 miles per hour a ratio?
Answer:
Yes, it is a ratio of miles to hours. (30 miles per 1 hour) 30:1
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation: It's a ratio because you can frame it like "For every hour you _____ 30 miles."
6th grade math I mark as brainliest
Answer:
The answer is 0.36 Hope this helped and plz mark brainliest
Step-by-step explanation:
0.6 times 0.6=0.36
1. Ernie earns $17 per hour tutoring student-athletes at Brooklyn University. a. If Ernie tutored for 12 hours this month, how much money did he earn?
Answer:
$17 * 12 hrs = 204
Step-by-step explanation:
Jim’s backyard is rectangular with dimensions of 75 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 2/5. How much fencing will he need if he wants to enclose the garden on all four sides?
Answer:
He will need 99 feet of fence.
Step-by-step explanation:
Jim's back yard has the following dimensions;
Length=120 feet
Width=75 feet
The gardens dimensions can be calculated using the expression;
Length of garden=Length of back yard/scale factor
where;
Length of back yard=120 feet
Scale factor=2/5
replacing;
Length of garden=120/2/5
Length of garden=12 feet
Width of garden=Width of back yard/scale factor
where;
Width of back yard=75 feet
Scale factor=2/5
replacing;
Width of garden=75/2/5
Width of garden=37.5 feet
The gardens dimension are;
Garden width=37.5 feet
Garden length=12 feet
To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;
Perimeter=2(length+width)
Perimeter=2(12+37.5)=99 feet
He will need 99 feet of fence
Answer:
he will need 99 feet to fence
Step-by-step explanation:
Jim's back yard has the following dimensions;
Length=120 feet
Width=75 feet
The gardens dimensions can be calculated using the expression;
Length of garden=Length of back yard/scale factor
where;
Length of back yard=120 feet
Scale factor=2/5
replacing;
Length of garden=120/2/5
Length of garden=12 feet
Width of garden=Width of back yard/scale factor
where;
Width of back yard=75 feet
Scale factor=2/5
replacing;
Width of garden=75/2/5
Width of garden=37.5 feet
The gardens dimension are;
Garden width=37.5 feet
Garden length=12 feet
To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;
Perimeter=2(length+width)
Perimeter=2(12+37.5)=99 feet
He will need 99 feet of fence
I did part A (optional: correct me if i did any wrong on part A). I do not understand part B. Explanation and answer please
Answer:
Step-by-step explanation:
HELP!!!
Drag and drop each number in the correct box to order the numbers from least to greatest.
The numbers from least to greatest are:
Answer:
Least to greatest: -40, -11, -1, 18, 38, 55, 64
Brandon owes his brother $100. He will repay his brother $5 each week. Which expression gives the amount in dollars Brandon will still owe his brother after n weeks?
A - 5−100n
B - 100−5n
C - 5n−100
D - 100n−5
Answer:
B 100-5n
Step-by-step explanation:
Always glad to help.
Using the graph below determine the slopes of the lines in simplest form.
AB = __________
CD = __________
EF = __________
GH = __________
plz help I forgot how to do this
Answer:AB= -4/3
CD=6/2
EF=Zero
GH=4/6
Step-by-step explanation:
ok rise/run
Lin read for x minutes, and Elena read for 5/8 more than that. Write an expression for the number of minutes Elena read. Only use decimals in your expression.
Answer:
Step-by-step explanation:
Number of minutes Elena read = x + 0.625
Solve for z. –z + 4= -4
Answer:
-z+4=-4
Step-by-step explanation:
First, you want to move the positive four to the other side to isolate the variable.
-z=-8
You cannot have a negative variable, so divide both sides by 1.
-z/1=-8/1
Your answer would be:
Z=8
Hope this helps!!
Solve the inequality -3/4x + 6 > -3.
Julie bought 16 ounces of wild mushrooms at $11 per pound. how much were the mushrooms
Answer:
i think its 116
Step-by-step explanation:
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Answer:
Yes because you will still be able to get a Number that will verify.
Step-by-step explanation:
Answer:
You can't predict if they will be less than or greater than either factors because it isn't given if those decimals are positive or negative numbers, and it doesn't state if we should round them.
Step-by-step explanation:
Answer these questions please. (All three)
Answer:
16: y=4x+14 17: 12 18: when you simplify it all individually you get x=3 for both equations. 19: $6.69
Step-by-step explanation:
16:y-2=4(x+3) distribute 4 and get y-2=4x-12. Add 2 to both sides to get y-4x+14.
17:x+2y=4 and 3x+6y=? divide 3x+6y by three and you get x+2y=4. This means you can just multiply the 4 by 3 to get the answer.
18:3x-5=4 and 3x-3=6. For the first one add 5 to both sides to get 3x=9 then divide both side by 3 to get x=3. For the second one add 3 to both sides to get 3x=9. Again divide both sides by three to get x=3.
19: $18-$4.62=13.38 since he wants 2 models divide 13.38 by 2 to get 6.69.
Let f(x) = 2x2 + x − 3 and g(x) = x − 1. Find f(x) • g(x).
Answer:
Simply place the f(x) polynomial over g(x) to get the f(x) / g(x) result. Since polynomials have an infinite domain, the only gap you will get comes from the denominator equaling zero. That happens when:
X - 1 = 0
+1 +1
X = 1
So the domain is: D: X≠ 1
rename 3.5 as a mixed number
Answer:
3 1/2
Step-by-step explanation:
.5 equals one half or 1/2
3.5 equals 3 1/2
Answer:
3 ½
Step-by-step explanation:
when you convert your decimal to a mixed number it is the easiest to find a common value of it. if you take ½ and turn it into a decimal it would be .5 or 50/100. its all about finding the lowest common denominator
h(x)=−8x+360,
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answer:
always use desmos- graphibg calculator
Step-by-step explanation:
domain all real numbers
range all real numbers
What is mZSVT?
Enter your answer in the box.
Answer:
The measure of ∠SVT is 79°
Step-by-step explanation:
In the given figure
∵ US ∩ RT at V
∴ ∠SVT and ∠UVR are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠SVT = m∠UVR
∵ m∠SVT = (5y + 9)°
∵ m∠UVR = (8y - 33)°
→ Equate them
∴ 8y - 33 = 5y + 9
→ Add 33 to both sides
∴ 8y - 33 + 33 = 5y + 9 + 33
∴ 8y = 5y + 42
→ Subtract 5y from both sides
∴ 8y - 5y = 5y - 5y + 42
∴ 3y = 42
→ Divide both sides by 3
∵ [tex]\frac{3y}{3}[/tex] = [tex]\frac{42}{3}[/tex]
∴ y = 14
→ Substitute the value of y in the measure of ∠SVT
∵ m∠SVT = 5(14) + 9
∴ m∠SVT = 70 + 9
∴ m∠SVT = 79°
∴ The measure of ∠SVT is 79°
8. Solve the equation. Check your solution, if possible.
y - 12 = 9
Answer:
21
Step-by-step explanation:
Just reverse the problem.
y - 12 = 9
y = 12 + 9
y = 21
Suppose you are playing a game of Uno and you must draw two cards from the deck. An Uno deck contains
108 cards. What is the probability that you draw a Skip card or a seven? There are 8 possible chances of
drawing a Skip card and 2 chances of drawing a seven.
Answer:
hatdog jdudhsisbsn
Step-by-step explanation:
jsysvysbd
SECTION A
1. The perimeter of a pallalelogram is 38cm. If one of the aide is 12 cm. Find
other side (a) 7cm (b) 9cm (c) 13cm 76
2.
Answer:
(a)
Step-by-step explanation:
since a parallelogram has atleast 2 equal sides, we take the 12cm and double it. That equals 24cm. So, 38cm take away 24cm equals 14cm. And since a parallelogram has 4 sides we half 14cm, which gives us 7cm.
How many ways can 10 books be arranged on a shelf?
Place them horizontally or vertically
What is the domain of the function y=3/x?
O
-00
O 0
0
1
Answer: Choice A) [tex]-\infty < x < \infty[/tex]
We can plug in any x value we want. The domain is the set of all real numbers. We don't have to worry about applying the square root of a negative value since negative values are allowed in cube roots.
For instance, [tex]\sqrt[3]{-64} = \sqrt[3]{(-4)^3} = -4[/tex]
Helpppppppppppppppppp please......
Answer:
Ratio of girls to total number of students: 4:12
Step-by-step explanation:
There are four girls, and eight boys.
In all there are 12 students.
So the ratio of girls to total number of students taking swimming lessons is 4:12
A junior high girls' basketball team is to consist of 5 players. How many different teams can the manager select from a roster of 12 girls?
Which type of transformation is shown?
•Dilation
•Rotation
•Translation
•Reflection
!! WILL GIVE BRAINLIEST !!
Answer:
Rotation
Step-by-step explanation:
Answer:
rotation
Step-by-step explanation:
Which of the following points lie in the solution set to the following system of inequalities?
y > -3x + 3
y > x + 2
(2,5)
(2,-5)
(-2,-5)
(-2,5)
Answer:
not (2,-5)
Step-by-step explanation:
27% of 140 =
Blank% of 500 = 90
32% of Blank = 8
Help meeeee