The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?
Answer:
P(0.8< p ^ <0.9)≈0.87
Step-by-step explanation:
trust me
The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.
We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.
The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:
SD = √((p × (1 - p)) / n)
Plugging in the values, we get:
SD = √((0.85 (1 - 0.85)) / 120)
= √(0.01225 / 120)
= √(0.0001010417)
= 0.0101
Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.
Therefore, the required probability is approximately 0.919.
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What is the measure of < BCD ? Justify your answer.
Answer:
please mark brainlist pleaseStep-by-step explanation:
4π/3 radians. Triangle A B C has angles labeled as follows: A, (101x + 2) degrees; B, 34x degrees; C, unlabeled. The measure of ∠BCD is 120°. )
What is mArc SU?
49°
77°
98°
161°
Answer:
77°
Step-by-step explanation:
By the property of intersecting tangent and secant outside of a circle:
[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]
The mArc SU is option (B) 77 degrees
What is Tangent?A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
What is secant ?A secant is a line that intersects a circle in exactly two points.
Here,
By the property of intersecting tangent and secant outside of a circle:
[tex]T=\frac{1}{2}(RU-SU)[/tex]
Here
T= 21 degrees
RU is the mArc RU = 119 degrees
Then,
[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]
SU = 77 degrees
Hence, the mArc SU is option (B) 77 degrees
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solve liner equation for they variable
-6x+7=2x+10-8x-3
Answer:
x is infinite
Step-by-step explanation:
-6x+7=2x+10-8x-3
reduce:
-6x+7=7-6x
7-6x = 7-6x
x = x
x is infinite
for ssc
1: a man walks 7km in 2 hours and 2 km in 1 hour in the same direction.what is the man's avarage speed for the whole joumey?
salamat po kong sino makaka sagot
Answer:
Average speed is 3 kilometers an hour
help me please, i really don't understand!!
Answer:
x plus 4 divided by 5 minus 9
x + 4 / 5 - 9
Answer:
it's ok no problem take care
Which line is congruent to which
Answer:
QO and QN
Step-by-step explanation:
The little lines mean they’re congruent. The arrows tell you PO and MN are paralle. The curved line means the angles are congruent.
Hope that helped!
Someone plz help me
please help with question 2 50 points for answer and brainliest
Answer:
b) Reflection over y = -2
Step-by-step explanation:
Reflection over y = -2
What is the measure of DC?? Show work..
Answer:
I have no idea , but it is a obtuse / 190 degree angle
Hmmm.... i think its 180 OR 185
Step-by-step explanation:
14. Two line segments are congruent if they have........... length.
. A fishing bobber has a radius of 0.5 inch. Find the volume of the fishing bobber. Round your answer to the nearest tenth.
Given:
The radius of the fishing bobber = 0.5 inch.
To find:
The volume of the find bobber.
Solution:
We know that the shape of fishing bobber is a sphere.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Substitute r=0.5 and [tex]\pi=3.14[/tex] to find the volume of the fishing bobber.
[tex]V=\dfrac{4}{3}(3.14)(0.5)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(0.125)[/tex]
[tex]V=0.52333...[/tex]
Approx the value to the nearest tenth.
[tex]V\approx 0.5[/tex]
Therefore, the volume of the fishing bobber is 0.5 cubic inches.
Can someone help me Find the value of X
Answer: x=4
Step-by-step explanation:
similar triangle so corresponding parts are similar
[tex]\frac{5}{10} = \frac{2x-1}{14}[/tex]
cross multiply
70 = 20x-10
80 = 20x
x = 4
OMG HELPPPPPPPPPPPPPPPP PLEASE picture below :)
Answer:
a is greater than -2
Step-by-step explanation:
Solving a comparison like this is the same as solving an equation, except you need to watch out for the signs of numbers.
Given:
-2a - 12 < -8
The first thing we need to do here is to add 12 to both sides:
-2a - 12 + 12 < -8 + 12
-2a < 4
You'll notice we're just increasing both sides, so the relationship stays the same.
Now we divide both sides by -2. Because the number is negative, it changes whether the result is greater or less.
-2a < 4
-2a ÷ -2 > 4 ÷ -2
a > -2
Giving us our final answer.
Please answer!!! I’ll make brainliest
Answer: 30
Step-by-step explanation:
1. Use the Pythagorean theorem ([tex]A^{2} +B^{2} = C^{2}[/tex])
[tex]18^{2} +24^{2} =C^{2} \\324 + 576 = C^{2} \\900 = C^{2} \\\sqrt{900} = \sqrt{C^{2} } \\30 = C\\[/tex]
Step-by-step explanation:
so in this case, you use the pythagoras theorem:
hypotenuse= opposite squared + adjacent squaredsince we don't have a hypotenuse, let's name is H
soo it will be
H= 18 squared + 24 squared
H = 324+ 576
H= 900
so you find the square root of 900 which is 30
so, therefore the answer is 30
What type of function is this:
a1 = 2
an = an-1+4
Arithmetic and Explicit
Arithmetic and Recursive
Geometric and Explicit
Geometric and Recursive
Answer:
Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
[tex] \\ [/tex]
There are twelve doughnuts in a dozen. How many doughnuts are there in seven dozen?
Answer:
84
Step-by-step explanation:
12*7 = 84
Answer:
84
Step-by-step explanation: 12*7 = 84
plz i got need help here
Answer:
The parallelograms having perpendicular diagonals are square and rhombus so
e. b and d are true.
Hope it will help :)❤
Answer:
I think Rhombus
Step-by-step explanation:
Solve for the ? angle
Answer:
50
Step-by-step explanation:
since all angles add up to 180
and since this is a right triangle the square in the corner is 90 degrees
so 40+90+x=180
130+x=180
subtract 130 from both sides
130-130+x=180-130
x=50
Hope that helps :)
45% of 81.2 is a number between?
Answer:
36.54
Step-by-step explanation:
that's what it is so just do like 36-37
Answer:
45% of 81.2 is 36.54
Step-by-step explanation:
Please help I’ll make Brainly answer!!
Answer:
what they said ^^
Step-by-step explanation:
I did this so no one puts the incorrect answer
Element X decays radioactively with a half life of 9 minutes. If there are 860
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 94 grams?
Answer:28.7 minutes
Step-by-step explanation:
Plz help due tomorrow if correct ill give Brainlyest
Answer:
(2/3*6a) + (2/3*9) = 20.4
a=3.6
Step-by-step explanation:
Will give brainliest! What is the range for the third size of the triangle 2,10?
Answer:
8 < x < 12
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of sides < x < sum of sides , that is
10 - 2 < x < 10 + 2
8 < x < 12
Alexis had $25.00 to spend on amusement park she spent 25% of her money on games she spent 1/2 of her money on food she spent $6.00 on a stuffed animal. How much money did Alexis have left?
Answer:
Step-by-step explanation:
25% of $25 = 0.25×$25 = $6.25
½ of $25 = ½×$25 = $12.50
$25 - $6.25 - $12.50 - $6 = $0.25
There are two children in the Patel family.
They are twins of the same age.
What is the range of their ages?
Answer:
range = highest - lowest
x - x = 0
Hope it helps
Please mark me as the brainliest
Thank you
If there are two children in the Patel family. They are twins of the same age. Then zero is the range of their ages
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
There are two children in the Patel family.
They are twins of the same age.
Let x be the age of two children.
As they are twins so the age of children's is same.
The formula of range is highest minus lowest.
range = highest - lowest
Range=x - x
Range =0
Hence, the range of their ages is 0.
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can someone help me with algebra? i'm lost on everything. i'm a junior in high school.
Answer:
i can.
Step-by-step explanation:
WWhat is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6
Answer:
[tex]y = x[/tex]
Step-by-step explanation:
Given
[tex]A =(6,3.7)[/tex]
[tex]B = (5.4,2)[/tex]
[tex]C = (1,3)[/tex]
[tex]A' = (3.7, 6)[/tex]
[tex]B' = (2, 5.4)[/tex]
[tex]C' = (3, 1)[/tex]
Required
The equation for the line of reflection
Taking points A and A' as a point of reference:
[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]
First, calculate the midpoint (M)
[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]
[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]
[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]
[tex]M = (4.85, 4.85)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]
[tex]m = \frac{2.3}{-2.3}[/tex]
[tex]m = -1[/tex]
The midpoint of a reflection is always perpendicular to the points being reflected.
So, the slope of [tex]M = (4.85, 4.85)[/tex] is:
[tex]m_2 = -\frac{1}{m}[/tex]
[tex]m_2 = -\frac{1}{-1}[/tex]
[tex]m_2 = 1[/tex]
The equation is then calculated as:
[tex]y = m_2(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (4.85,4.85)[/tex]
[tex]y = 1(x - 4.85) + 4.85[/tex]
[tex]y = x - 4.85 + 4.85[/tex]
[tex]y = x[/tex]
Hence, the equation of line of reflection is:
[tex]y = x[/tex]
Answer:
c
Step-by-step explanation:
The cash price of a bike is $3000. The bike can be bought on hire purchase by making a 25% down-payment and monthly payments of 125 for 2 years. The hire purchase is
A) $3000
B) $750
C) $ 3750
D) $125
Answer:
C) $3750
Step-by-step explanation:
We can start by calculating the down payment. To do this we can just simply calculate 25% of 3000, which equals 0.25*3000=7500. Now we can find out how much money it will cost to pay not including the down payment. $125 monthly for 2 years= $125 monthly for 24 months= 125*24= $3000. Finally we add the downpayment and the total cost of monthly payment to get $7500+$3000=$3750.
Please tell me oles
whaf us 30×1
Answer:
just 30 x 1?
Step-by-step explanation: its 30 anything times 1 is the same answer it is multipled by!
Answer:
30
Step-by-step explanation: