A 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744
The formula for calculating the confidence interval is expressed as;
[tex]CI=p \pm z \cdot\sqrt{\frac{P(1-p)}{n} }[/tex]
p is the proportion = 61/92 = 0.66n is the sample size = 92z is the z-score at 90% = 1.645Substitute the given parameters into the formula to have:
[tex]CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(1-0.66)}{92} }\\CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(0.34)}{92} }\\CI =0.66\pm 1.645(0.0495)\\CI=0.66 \pm 0.0814\\CI = (0.582, 0.744)[/tex]
Hence a 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744
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A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
Answer: 12° can be a possible angle of rotational symmetry
Given logv5 3 ≈ 0.6826 and logv5 8 ≈ 1.2920, evaluate the expressions.
A) logv5 2
B) logv5 (75/8)
whats 4000+60=
and whats 60+4000=
Answer:
4060
Step-by-step explanation:
Answer:4060
Step-by-step explanation:
There were 560 people at a play. The admission price was $2 for
adults and $1 for children. The admission receipts were $860.
How many adults and how many children attended?
Answer:
• For this one we need to split this problem into two equations:
• a (adults) + c (children) = 560
• 2a + c = $860
• Then we substitute 560 - a for c in the second equation.
2a + 560 - a = 8602a + 560 = 8602a = 5302a = 265• Then we plug this into the first equation:
265 + c = 560c = 295Step-by-step explanation:
I hope this helps you !!determine the right and left hand behavior of the graph of the following functions.
[tex]f(x)=6-2x+4x^{2} -5x^{3}[/tex]
Answer:
x → -∞, y → ∞
x → ∞, y → -∞
Step-by-step explanation:
The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...
x → -∞, y → ∞
x → ∞, y → -∞
The triangle and rectangle belowhave the same area what is the value of w?
(I[m Assuming W =10cm)
the formula for area of a triangle is 1/2 times the base (4 cm) times the height (5 cm) so the area of the triangle would be 10 cm. to find the area of the rectangle you would divide 10 by 4, which means that w=2.5 cm
The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.
Answer: 22.5 kg
Step-by-step explanation:
You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.
y=1/4x−2y=−2x+3 help solve problem.
Answer:
(x, y) = (2 2/9, -1 4/9)
Step-by-step explanation:
Equate the values of y and solve for x.
1/4x -2 = -2x +3
(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides
x = 20/9 = 2 2/9 . . . multiply by 4/9
y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation
y = -1 4/9
The solution is x = 2 2/9, y = -1 4/9.
11/2-2/3 help me plz
4.83
answer above answer above answer above
Only 19 and 21!!!!!
Thank You!!!!
Step-by-step explanation:
19. 4x² - 13x + 3
4x² - 1x - 12x + 3
x(4x - 1) -3(4x - 1)
x-3 4x-1
pls solve this equation for brainliest 2a+2=8?
Answer:
a=3
Step-by-step explanation:
you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again
Answer:
a=3
Step-by-step explanation:
A monkey is swinging from a tree, on the first swing, she passes through an arc of 10 m. with each swing she passes through an arc 9/10 the length of the previous swing. what is total distance the monkey has traveled when she completes her 25th swing
Answer:
≈ 92.821 m
Step-by-step explanation:
For a geometric series with initial value a and rate r, the sum after n terms can be represented by
a*(1-r^n)/(1-r)
Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get
10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m
What is the sale price with 15% off? Original price: $110 of bears head phones
Answer:
93.5
Step-by-step explanation:
whats 3-6h if h = -1
Answer:
9 is the answer.
Step-by-step explanation:
Given:
h = -1=> 3-6h
=> 3 - 6(-1)
=> 3 + 6
=> 9
Therefore, 9 is the answer.
Hoped this helped.
What percent of 38 is 12
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]\frac{38}{100} (12)[/tex]
[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]
[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]
[tex]=\frac{(19)(12)}{(50)(1)}[/tex]
[tex]=\frac{228}{50}[/tex]
[tex]=\frac{114}{25}[/tex]OR[tex]4.56[/tex]
ANSWER:
[tex]\frac{114}{25}, OR: 4.56[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
Is the relationship between x and y proportional? Explain.
x y
5 25
6 30
7 35
8 40
Answer:
yes
Step-by-step explanation:
because
5/25=1/5
6/30=1/5
7/35=1/5
8/40=1/5
plz tag in brainlist...
From 175 yards away, a marksman hit 14/50 of the targets last year.
A filing cabinet measures 5 feet high 18 inches wide and 2 feet deep. what is the volume of the filing cabinet?
Explanation:
18 inches = 18/12 = 1.5 feet
The cabinet is 5 ft by 1.5 ft by 2 ft. Multiply the values to get 5*1.5*2 = 15
A cube has a volume of 1000cm^3. Work out the surface area Of the cube.
Answer:
600
Step-by-step explanation:
V = s×s×s = s³
V = 10×10×10 =1,000
Surface area
6a² = 6(10²) =600
Increasing y = - 12× + 4
Kris and his dad built an ice rink. The area is 74.4 sq meters. The length is 12 meters what is the width
Answer:
6.2 meters
Step-by-step explanation:
1) area = l*w
74.4 = 12x
x=6.2
Write the equation for the axis of symmetry for the
follow absolute value graph:
Answer:
The equation for the axis of symmetry is x=3
Step-by-step explanation:
Because the vertex is (-2,3) then the axis of symmetry must pass that point.
Will mark as brainliest if answer is correct
Which describes the graph of y=(x-4)^2-1?
A. Opens down with a vertex at (-4,-1)
B. Opens up with a vertex at (-4,-1)
C. Opens up with a vertex at (4,-1)
D. Opens down with a vertex at (4,-1)
Answer:
B
Step-by-step explanation:
The term in the () is usually the x coordinate, and the last term (-1) is usually the y coordinate.
Find the amount that results from a $900 investment invested at 7% interest,
compounded continuously, after 4 years.
Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.
Answer: No, it's not
Step-by-step explanation:
19*2=38
50-38 = 12
Alex awnsered 29 which is $17.00 off.
I need help with this badly.
The population of a town was 5655 in 2010. The population grows at a rate of 2.6% annually.
(a) Use the exponential growth model to write an equation
that estimates the population t years after 2010.
(b) Fill in the following table for each value of . Show your work. You may use a calculator to
calculate the final answer. Round your answers to the nearest whole number.
The exponential equation used to represent the population of the town is given by y = 5655(1.026)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population remaining after x years.
The population grow at the rate of 2.6% annually. Hence:
b = 100% + 2.6% = 1.026
There are initially 5655 people, hence a = 5655.
The equation becomes:
y = 5655(1.026)ˣ
Find out more at: https://brainly.com/question/7259975
Exercise on Properties/Laws of Sets Simplify each of the following identities to its simplest form, using the laws of sets; (i) (An B) U (AU B')'
(ii) An (AUB)
(iii) (CUA N (BUA)
Area of rectangle 2x8/9
Answer:
32/9
Step-by-step explanation:
2*(2)(8/9) = 4*8/9 = 32/9
Using the graph at right, where is the function increasing/decreasing? Where is the function concave up/down? Does this function have any
maxima or minima? Explain how you know
Explanation:
Start by calculating the first derivative of f(x) - use the quotient rule
ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2
f′=2x⋅(x2+3)−x2⋅2x(x2+3)2
f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤