Step-by-step explanation:
πr²= Area of a circle
In this case:
π16²
16²= 256265×π= 804.2 (1dp)So therefore, the answer is A
Hope this helped!
Researchers conducted a study to examine the association of clinical factors at birth with sudden infant death syndrome (SIDS) (Platt et al., 2000). The researchers randomly sampled the medical records of infants who died of SIDS from a large database. The study found 50 infants who required resuscitation at birth in 321 medical records, which produced a 90% confidence interval of 0.08 ± 0.02.
What can the researchers conclude about this confidence interval?
Researchers are________ certain that the interval (0.06,0.10) contains the proportion of 10% 90% 95 % 5% Adapted from Platt, M Archives ofDisease in' ning P. J; et al. Clinical Comparison Of SIDS And Explained Sudden Infant Deaths: How Healthy And How Normal?
Answer:
Researchers are 90% certain that the interval (0.06,0.10) contains the proportion.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
90% confidence interval of 0.08 ± 0.02.
Thus:
Researchers are 90% certain that the interval (0.06,0.10) contains the proportion.
Given the Graph, identify the slope
Answer: The slope is -5/3 or -1.4
Algebra
[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]s = \frac{5}{3} [/tex]
What is the length of line segment CD?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.
CD =
units
A graph with lines drawn between points A begin ordered pair 1, 3 end ordered pair and B begin ordered pair 4, 3 end ordered pair, points C begin ordered pair -2, 2 end ordered pair and D begin ordered pair 4, -4 end ordered pair, and points E begin ordered pair -7, 0 end ordered pair and F begin ordered pair -2, 4 end ordered pair
Answer:
Assume you need to find distance CD, between points C(-2, 2), D(4, -4)
Use distance formula:
[tex]CD = \sqrt{(4 + 2)^2+(-4-2)^2} = \sqrt{72} = 6\sqrt{2}[/tex] ≈ 8.5 unitsAnswer:
C(x1,y1)=(-2, 2), D(4, -4)
D(x2,y2)=(4, -4)
we have
the length of line segment CD
=[tex]\sqrt{(x2-x1)²+(y2-y1)²}\\ \sqrt{(4+2)²+(-4-2)²}=8.48 units[/tex]
the sum of 3 times mand 4 times m
Answer:
7mStep-by-step explanation:
Given ,
Sum of 3 times m = 3m
And 4 times m = 4m
Hence,
Sum is = 3m + 4m = 7m (Ans)
Juan plans to use strategies to find 12x380 shows a strategy he could use
Answer:
3 x 4 x 380
Step-by-step explanation:
The correct strategy that he could use would be
3 x 4 x 380
This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560
Can someone answer this question please
The simplest fraction from of 0.0115 is
Answer:
23/2000
Step-by-step explanation:
1.15%=0.0115=115/10000
simplified
23/2000
SSS SAS ASA or SSA or HL and explain
Answer:
SSS
Step-by-step explanation:
∆ ABC after reflected over y-axis and then translated by 2 units down ===> ∆A"B"C"
so the size of sides doesnt change
Ahmir is 20 years older than Brynn. In 5 years Ahmir will be 3 times as old as Brynn. What are their current ages?
Ahmir is 20, Brynn is 5.
Ahmir is 60, Brynn is 40.
Ahmir is 25, Brynn is 5.
Ahmir is 5, Brynn is 25.
Given vector u = (3, 1) and v = (2,-4), determine the value of v – 4u in
component form.
Answer:
(-10, -8)
Step-by-step explanation:
4u
Each component of vector u is multiplied by 4. So
u = (3, 1)
4u = (4*3, 4*1) = (12,4).
v – 4u
Subtraction of the components of vector v by the components of the vector 4u. So
v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)
The value is (-10, -8)
How do you solve this? Thanks.
Answer:
Simulateneous equation
Step-by-step explanation:
Have to slove the equation given then plot the graph
Answer:
Graph a line segment with endpoints (1,-8) and (-4,3).
Step-by-step explanation:
Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.
Original point -> Corresponding inverse point
(a,b) ->(b,a)
(-8,1) ->(1,-8)
(3,-4) ->(-4,3)
So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).
(The inverse graph is just a reflection of the original relation over y=x.)
I NEED HELP!! THIS MY FINAL!
Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
Given the function y=−5x+4 , what is the range of the function if the domain is {−2, 0, 5} ?
Find a rational number between the two points shown.
Answer:
Is it any of the rational numbers? There are an infinite number of rational numbers. Rational numbers are any numbers that can be written as a fraction. All the integers between those two points (-2, -1, 0, etc.) are all rational. Any of the numbers between the points would be too. 1/2, 1/3, 2 1/3, etc.
Step-by-step explanation:
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18. (5+3i) + (2-2i)
8 + 0
Answer = 8
19. (8+9i) + (5-9i) - (8-7)
17 + -4 - 1
- - = +
:. -4 + 1 = -3
17 - - 3
Answer = 20
20. (6+8i)(3-2i)
14 × 1
Answer = 14
help with this please
Answer:
Hello! answer: 10
Step-by-step explanation:
you do a^2+b^2=c^2 meaning
8 × 8 + 6 × 6 will equal a number which then we have to find out the square root of that number meaning what number you can multiply by itself to get that number so...
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10
10 × 10 = 100 therefore the missing length is 10 hope that helps!
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was: Min
Answer:
Between 100 and 125
Step-by-step explanation:
Given
[tex]Min =60[/tex]
[tex]Q_1 = 100[/tex]
[tex]Median = 110[/tex]
[tex]Q_3 = 125[/tex]
[tex]Max =150[/tex]
Required:
Between which values will the box of the box plot will stretch
All box plots stretches between the lower quartile and the upper quartile.
From the question, we have:
[tex]Q_1 = 100[/tex] ---- lower quartile
[tex]Q_3 = 125[/tex] ---- upper quartile
Hence, the box will stretch between 100 and 125
Help plzzz and no links plz and thank you
Answer:
It's B, Points a and f. -5 and 5
help pls, im in a younger grade but my teacher wants me to do ap highschool senior stuff, i need help
===============================================
Explanation:
Refer to the diagram below. Notice how I've formed 3 rectangles underneath the curve. The term "right Riemann sum" refers to the idea of making each rectangle's upper right corner be on the curve. The upper left corner spills over top, meaning we have an over-estimate going on here.
Simply find the area of each rectangle, and then add up those sub areas. That will get you to the final answer.
Note how we go from x = -1 to x = 5, which is a distance of 5-(-1) = 6 units. Split three ways and each interval is 6/3 = 2 units wide.
If we started at x = -1, then increasing 2 units leads us to x = -1+2 = 1 as the first x input we compute into f(x). This is the height of the first rectangle.
Then 1+2 = 3 is the next input, meaning f(3) is the height of the next rectangle, and so on. We keep going until all rectangles are accounted for.
----------------------
You should have these rectangle heights:
329127when moving from left to right.
They add up to 3+29+127 = 159. Double that to get to the final answer of 2*159 = 318
The formula I'm using is
[tex]\Delta x*(f(x_1) + f(x_2) + \dots f(x_n))[/tex]
where x1,x2,... represents the values 1, 3, and 5. These are the x values plugged into the function to get the corresponding heights (3, 29, 127)
A group of friends wants to go to the amusement park. They have $304.50 to spend
on parking and admission. Parking is $16.50, and tickets cost $32 per person,
including tax. How many people can go to the amusement park?
Answer:
9 people can go to the amusement park.
What transformation is shown below??
Answer:
translation
Step-by-step explanation:
a translation. a translation is where the figure is moved, but not rotated or reflected.
Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?
Answer:
$30
Step-by-step explanation:
T = 750
B = 60(12)
T - B = X
750 - 720 = 30
Answer:
Tom saves 30 more dollars
Step-by-step explanation:
There’s 12 months in a year so
60 x 12 = 720
Tom has 750 so take away 720 that bill makes a year = 30
Give the vertex for the quadratic function: f (x) = (x – 3) (x + 7)
Answer:
[tex]Vertex = (-2,-25)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = (x - 3)(x + 7)[/tex]
Required
The vertex
[tex]f(x) = (x - 3)(x + 7)[/tex]
Open bracket
[tex]f(x) = x^2 -3x+7x-21[/tex]
[tex]f(x) = x^2 +4x-21[/tex]
Express -21 as 4 - 25
[tex]f(x) = x^2 +4x+4-25[/tex]
Group as:
[tex]f(x) = (x^2 +4x+4)-25[/tex]
Factorize the expression in bracket
[tex]f(x) = (x+2)^2-25[/tex]
The vertex form is:
[tex]f(x) = a(x - h)^2 + k[/tex]
Where the vertex is:
[tex]Vertex = (h,k)[/tex]
[tex]Vertex = (-2,-25)[/tex]
Use the Law of Sines to solve for x. Round to the nearest tenth.
F
Х
860
E
39°
7.9
G
Answer:
6.4
Step-by-step explanation:
Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall. How fast are the pebbles going when they hit her window?
Answer:
4.45 m/s
Step-by-step explanation:
Vertical distance, Sy = 5m
The speed of pebble when they hit her window :
Vx = Sx / t
We can obtain t using the relation :
Sy = 1/2 * at²
Where, a = acceleration due to gravity = 9.8m/s²
We can obtain t
5 = 1/2 * 9.8 * t²
5 = 4.9t²
t = √5/4.9
t = 1.01 seconds
Hence,
Speed, Vx = Sx / t
Vx = 4.5 / 1.01
Vx = 4.45 m/s
Find the circumference.
Use 3.14 for n.
r = 6 ft
C = [?] ft
C=Td
In the circumference formula given d is the diameter which is 2 times r ( r is the radius)
R is given as 6 feet, diameter = 2 x 6 = 12 feet.
Circumference = 12 feet x 3.14 = 37.68 feet
who has guathmath here. this is the invitation code. https://s.tutorus.xyz/lp/invite?code=F47XR9
Step-by-step explanation:
thank youjjdjdkdkdkdkkdididososiid
a brownie recipe calls for 1 cup of sugar and 1/2 cup of flour to make one batch of brownies. To make multiple batches, the equation f = 1/2 s where f is the number of cups of flour and s is the number of cups of sugar represents the relationship. which graph also represents the relationship? explain how you know.
Answer:
A
Step-by-step explanation:
f = 1/2s
Let s = 2 that means f = 1 That means for 2 cups of sugar there is 1 cup of flour.
This point must be on the graph
It is on A, not on B, not on C
telling time in intervals
Answer:
A. 5:12 B. 12:51
Step-by-step explanation:
. Use the smaller hand as the hour hand and the bigger hand to track each minute.
The school cafeteria has 500 water bottles in stock and sells a total of 60 water bottles per day. Write a function rule to represent this situation using w for the total amount of water bottles in stock at the end of d days
Answer:
W=500-60d
Step-by-step explanation:
W=the remain water bottles
500=total water bottles
60water bottles times d=total water bottles at the end of days
If the school cafeteria has 500 water bottles in stock and sells a total of 60 water bottles per day, the function rule can be expressed as w = 500 - 60d
To write a function rule representing the given situation, we can use the variables w and d, where w represents the total number of water bottles in stock and d represents the number of days.
Initially, the cafeteria has 500 water bottles in stock. Every day, they sell 60 water bottles. So, at the end of each day, the total number of water bottles in stock decreases by 60.
Therefore, the function rule can be expressed as:
w = 500 - 60d
Here, 500 represents the initial number of water bottles in stock, and 60d represents the number of water bottles sold over d days, with d being the input variable.
This function rule calculates the remaining number of water bottles in stock (w) at the end of any given number of days (d), taking into account the initial stock of 500 and the daily sales of 60 bottles.
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