Using the z-distribution, as we are working with a proportion, it is found that:
A. Yes, the data provides convincing statistical evidence that Swedish men who would be classified into group A have a lower probability of stroke than Swedish men who would be classified into group B.
B. Considering that the data provides statistical evidence, the conclusion was appropriate.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportions are the same, that is:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested proportion A is less than proportion B, that is:
[tex]H_1: p_A - p_B < 0[/tex]
What is the mean and the standard error for the distribution of difference of proportions?For each sample, they are given by:
[tex]p_A = \frac{458}{9250} = 0.0495, s_A = \sqrt{\frac{0.0495(0.9505)}{9250}} = 0.0023[/tex]
[tex]p_B = \frac{543}{9250} = 0.0587, s_B = \sqrt{\frac{0.0587(0.9413)}{9250}} = 0.0024[/tex]
Hence, for the distribution of differences, we have that:
[tex]\overline{p} = p_A - p_B = 0.0495 - 0.0587 = -0.0092[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0023^2 + 0.0024^2} = 0.0033[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{-0.0092 - 0}{0.0033}[/tex]
[tex]z = -2.77[/tex]
Item a:
Considering a left-tailed test, as we are testing if the proportion is less than a value, with the standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value, it is found that yes, the data provides convincing statistical evidence that Swedish men who would be classified into group A have a lower probability of stroke than Swedish men who would be classified into group B.
Item b:
Considering that the data provides statistical evidence, the conclusion was appropriate.
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Hellllppppo please thank you
Answer: Shown below
Step-by-step explanation:
Bisects mean split in half, so this shape has a symmetrical line in the form of RT. Using that, we find:
RU = RS = 8
ST = UT = 23
SV = VU = 5
SU = SV + VU = 10
using the net below, find the surface area of the triangular prism.
4cm
4cm
7cm
5cm
5cm
8cm
PLEASE HELP
Answer:
[tex]\boxed{\underline{\tt Surface\: area= 123 cm^2}}[/tex]
Step-by-step explanation:
Surface area of the triangular prism:
[tex]\tt [(5\times4)+(7\times 5)+(8\times 5)+1/2(7\times 4)+1/2(7\times4)] cm^2[/tex]
[tex]\tt [20+35+40+14+14] cm^2[/tex]
[tex]\tt [60+63]cm^2[/tex]
[tex]\tt 123cm^2[/tex]
~
A bagel shop makes bagels that serve 1 person each. For a party, the baker is asked to make a large bagel in the same shape that will serve 25 people.
By what scale factor will the bagel need to be dilated? Round your answer to the nearest tenth.
The bagel need to be dilated by a scale factor of 25 so as to serve 25 people.
What is a dilation?A dilation is the increase or decrease in the size of a figure by a scale factor of k. If k > 1, it is an increase and if k < 1, it is a decrease.
Given that the bagel can serve 1 person each, to serve 25 people:
Scale factor = 25 / 1 = 25
The bagel need to be dilated by a scale factor of 25 so as to serve 25 people.
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PLEASE HELP
3(3x+5) Using x=5
Answer:
60
Step-by-step explanation
THIS IS A REAL EQUATION Correct answer gets brainliest ...-- .-.-. ....- -...- ..--..
3+4 = 7
-. .. -.-. . / - .-. -.--
Answer:
3 + 4 = 7
Step-by-step explanation:
U get 3 apples and 4 apples then u add them and u have 7 in total
Making an inference is the second part of the process of investigating a
question using data.
A True
B. False
Help!!!
Answer:
The answer is False
HELPPPPP PLEASEEEE DUE TONIGHT
Answer:
B) There were more sofas sold at Store B than at Store A
Step-by-step explanation:
Count up the number of sofas that each store sold, and then compare.
Hope this helped! :)
Select the statement that shows equivalent measurements.
6,400 milliliters = 0.64 liters
6,400 milliliters = 64 liters
64,000 milliliters = 6.4 liters
64,000 milliliters = 64 liters
Answer:
64,000 milliliters = 64 liters
so the last option
Step-by-step explanation:
What is the side lengths, in inches, of a cube with a volume of 11 cubic inch?
Answer: a≈2.22
V=a3
a=V⅓=11⅓≈2.22398in
Step-by-step explanation:
What is the distance between (7, -7) and (2,5) on the coordinate plane?
Answer:
[tex]\boxed{\sf{13}}[/tex]
Step-by-step explanation:
The only way to solve this problem is to use the distance formula from left to right.
Distance formula:
[tex]\sf{(X_1,Y_1)(X_2,Y_1)}[/tex]
[tex]\sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}[/tex]
y2=5
y1=(-7)
x2=2
x1=7
Solve the problem by rewriting it down.
[tex]\sf{\sqrt{\left(2-7\right)^2+\left(5-\left(-7\right)\right)^2}}[/tex]
[tex]\boxed{\sf{=13}}[/tex]
Therefore, the final answer is 13.
I hope this helps! Let me know if my answer is wrong or not.
Bonus: A rectangle has a length of 3x - 4 and a width of 3x + 4. Write a polynomial to represent the area of
the rectangle. (Hint: Area = Length x Width)
Hey guys, please someone solve this for me. you have to find the volume - also please show working out!
If a box of 15 cookies cost $9 dollars what is the cost of 1 cookie
Answer:
$1.66 i think
Step-by-step explanation:
because you divide 15 and 9
Which is better a polar bear or an LED light bulb. Most deepest answer gets brainiest
Answer:
polar bear bc who doesnt want a polar bear in theyre room B)
Step-by-step explanation:
polr bears r cool
what was the water level at 0 minutes when Henry began to fill the tank?
Answer:
9
I hope this helps and have a good day
2 + 2 ez badge yeah ok now what do i do
Answer:
4
2 + 2 = 4
took me longer then I expected
HELP ME PLEASE IF YOU DO I WILK GIVE YOU POINTS
THANK YOU SO MUCH
Answer:
1. 54 2. 2$
Step-by-step explanation:
1. total students= 331
n.o of buses=6
now,
total no of students travelling through bus,
=331-7
=324
now,
324÷6
=54
2.
total money=24$
remaining money= 10$
spent money on pencil= 24-10$
= 14$
now,
7 pencils cost= 14$
1 pencil cost= 14÷7$
=2$
Helppppppp pleaseeee
Answer:
please write the question here I cannot see it clearly in the photo
It’s spring season once more and Jo wants to grow colourful flowering plants. She decides to make 16 raised flower beds, each measuring 1m x 4m x 0.5m.
(i) Calculate the volume of soil required to fill the 16 flower beds.
(ii) If soil is available only in 40 litre bags, how many such bags will she have to buy to make the 16 flower beds?
Answer:
(i) 32 cubic meters, (ii) 800
Step-by-step explanation:
(i) 1 x 4 x 0.5 = 2 m3, x 16 = 32
(ii) 1000 litre per m3 = 32,000 litres required divided by 40 = 800 bags.
(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]
The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this set? A.5 B. 50 C. 105 D. 210 E.525
Answer:
105
Step-by-step explanation:
A "set" is a group of numbers.
A "positive integer" is a whole number that's bigger than zero.
"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)
"least" means smallest.
15 and 35 both go into 105.
The least positive integer that will be divisible by both 15 and 35 will be 105.
The given integers are 15 and 35.
As we know that the least positive integer that will be divisible by both 15 and 35 will be LCM( Least Common Multiple) of 15 and 35.
What is the least common multiple of two Integers?The least common multiple or LCM of two integers is the common multiple of two numbers such that it is the least among all common multiples.
For example, LCM of 3 and 5 will be 15 because, among all common multiples of 3 and 5, 15 is the least multiple.
For LCM of 15 and 35, let us write multiples of both the numbers
Multiples of 15 = 15,30,45,60,75,90,105,120,135,150,165,180,195,210..........
Multiples of 35 = 35,70,105,140,175,210.............
We can see that 105 and 210 are two common multiples out of which 105 is the least multiple.
Therefore, the least positive integer that will be divisible by both 15 and 35 will be 105.
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Simplify the following expression. Will give brainliest!
Answer:
15400√5−45π
Step-by-step explanation:
Rewrite the expression, pull the terms out from the radical, cancel the common factors, and multiply.
Answer:
15400 √5 -45π
Step-by-step explanation:
The image is an example of which type(s) of symmetry.
Answer:
D Both
Step-by-step explanation:
It's a regular hexagon which means it will look the same even if you rotate or cut it
Answer:
Both rotational and reflectional
Step-by-step explanation:
what is the equation of the line that passes through the points (2,-4) (-4,5)
SHOW WORK
Answer:
y=−3/2x−1
Step-by-step explanation:
hope this helps brainliest appreciated
Someone help me?? Pleasee
Answer:
B
Step-by-step explanation:
Company X = 35 + 3n
Company Y = 15 + 2n
It is correctly represented by:
(35 + 3n) - (15 + 2n)
The correct option is (B).
. A large cake is in a room. The first person who comes in takes 1/3 of the cake. Then a second person takes 1/3 of what is left. Then a third person takes 1/3 of what is left. And so on.
a) Is there still cake left after three people each take some cake? Why or why not?
b) Complete the table for C(n), the fraction of the original cake left after n people take some.
n C(n)
0
1 2/3
2
3
4
Answer:
Hiya
Step-by-step explanation:
1) No because they took a 3rd of the cake meaning they took all the cake depending on the size that’s a lotta cake so lets say this
I have a whole pizza I take 1/3 of it and so do two other people therefore no pizza is left.
A fraction is a way to describe a part of a whole. Yes, there is still cake left after three people each take some cake.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let the total amount of cake be represented by x.
Now, if the first person who comes in takes 1/3 of the cake. Then the amount of cake that will be left is,
Amount of cake left after the first person = x - (1/3)x
= (2/3)x
Then a second person takes 1/3 of what is left. Therefore, we will take 1/3rd of what is left, which means he will take 1/3 of (2/3)x.
Amount of cake left after the second person = (2/3)x - (1/3)(2/3)x
= 4x/9
=(2/3)²x
Then a third person takes 1/3 of what is left. Therefore, we will take 1/3rd of what is left, which means he will take 1/3 of 4x/9.
Amount of cake left after the third person = (4x/9) - (1/3)(4x/9)
= 8x/27
=(2/3)³x
A.) Yes, there is still cake left after three people each take some cake. This is because each person takes 1/3 of what is left, which means they will take a portion of "what is left" and leave the rest.
B.) The given table can be completed as shown below.
n C(n)
0 0
1 2/3
2 (2/3)²
3 (2/3)³
4 (2/3)⁴
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Please help will give brainiest
Answer:
heres your answer hope this hepls
i need brainliest for level up please
17. What is the value of x?
Answer:
x is 42o
Step-by-step explanation:
since if its like ummm i think it was called parallel? then it would be the same as 85o but to find it we have to do algebra soooo
2x + 1 = 85 (you dont have to include the o)
2x = 84
x = 42
Step-by-step explanation:
Here, (2x + 1) and 85° are vertically opposite angles which are equal,
therefore,=> 2x + 1 = 85°
=> 2x = 85 - 1
=> 2x = 84
=> x = 84/2
=> x = 42°
Hope it helps you!!A, O and B lie on a straight line segment.
Evaluate x
The diagram is not drawn to scale.
Answer:
x = 36
Step-by-step explanation:
we have,
3x+x+x=180
x+x = 2x so,
3x+2x=180
3x+2x=5x so,
5x=180
that means, x= 180/5
180/5=36
x = 36
to check the answer
3x+x+x=180
if x = 36
3*36+36+36=180
108+36+36=180
180=180
can you mark me brainliest
Which has a greater value 3/10 or 13/20
13/20 is bigger
To compare these two fractions, we make them both have a common denominator. I will be using 20 as the common denominator.
3/10 * 2
= 6/20
6/20 < 13/20
13/20 is bigger.
The inequality equation is 13/20 > 3/10
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first fraction be p
Now , the value of p = 3/10
Let the second fraction be q
Now , the value of q = 13/20
On simplifying the equations , we get
p = 0.3
q = 0.65
And , q > p
So , the the value of 13/20 is greater than 3/10
Hence , the inequality is 13/20 > 3/10
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