Answer:
There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Step-by-step explanation:
The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06
The number of 50 year old men in the sample, n = 260 men
The number of the sampled men that developed prostrate cancer = 13 men
The significance level, α = 0.05
Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p
The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p
The standard score, [tex]z_{\alpha /2}[/tex] = 1.96
The test statistic, 'z', is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
[tex]\hat{p}[/tex] = 13/260 = 0.05
q = 1 - p = 1 - 0.06 = 0.94
[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]
From the z-table, we find the p-value as follows;
P(z ≈ -0.68) = 0.24825
Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
what is the answer to 5,082 / 5 =
Answer
If you mean 5082 ÷ 5 than the answer is 1016.4
Step-by-step explanation:
Hope it helps!
A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the probability distribution of X along with summary statistics:
Lose Win
X = gain (S) -1 1
Р(X) 20/38 18/38
Мean: Ax-$0.05
Standard deviation: ax$1.00
Suppose a player decides to wager $5 instead of winning $5.
Let Z represent the player's gain from a random $5 wager on red. possible outcomes become either losing or , so
What are the mean and standard deviation of Z? dollars?
Answer:
-$0.26 ; $5
Step-by-step explanation:
Given that :
____________ Lose ______ Win
X =$1 _______ - $1 ________ $1
P(X) _______20/ 38 _____ 18/38
Mean, Ux = - $0.05
Standard deviation, σx = $1.00
If the wager is $5 instead of $1
Mean = Σx*p(x)
Mean = (-5 * 20/38) + (5 * 18/38)
Mean = - 2.6315789 + 2.3684210
Mean (μ) = −0.26
Standard deviation :
Sqrt(Σx²p(x) - μ²)
[(-5^2)*(20/38) + (5^2)*(18/38)] - (-0.26^2)
(13.157894 + 11.842105) - 0.0676
= 24.999999 - 0.0676
= sqrt(24.932399)
= 4.9932353
= 5
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
Hi. I need help with the following questions. ( These arent multiple choice)
Layout:
1.
2.
3.
Answer:
The top blank is D. Quadrilateral
The middle blank is B. Parallelogram
The last blank if A. Square
Helpppppppppppppppp
Answer:
∠QRT = 42°
Step-by-step explanation:
arc QT + 2(∠QPT = 2(42°) = 84°
arc QT = arc TQ
arc TQ = 2(∠QRT)
84° = 2(∠QRT)
∠QRT = 42°
Jennifer is attending a school orchestra concert.She sees her math teacher seated 4.5 meters ahead of her and her science teacher seated 1.1 metes to her right.how far apart are the two teachers?
Answer:
j
Step-by-step explanation:
jj
A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
The number of calories in a one ounce serving of a certain chicken sandwich is a random variable with mean 110 calories. The number of calories in a full cup of lemonade is a random variable with mean 140 calories. For lunch, you eat one ounce of the chicken sandwich and LaTeX: \frac{1}{2}1 2 cup of lemonade. Let K be the random variable that represents the total number of calories in this lunch. The mean of K is
Answer:
The mean of K is 180 calories.
Step-by-step explanation:
Mean of a sum of normal distribution:
The mean of a sum of normal distributions is the sums of the mean.
In this question:
Lunch:
One ounce of chicken sandwich, with mean 110 calories.
Half a cup of lemonade, with mean 140/2 = 70 calories.
Let K be the random variable that represents the total number of calories in this lunch. The mean of K is
110 + 70 = 180 calories
The mean of K is 180 calories.
Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm
How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth.
Answer:
0.00421 centimeters.
Step-by-step explanation:
thats ur answer
Answer:
I believe that your answer would be 2.18527315×10^-1
Simplified would be 2.2×10^-1
Step-by-step explanation:
I hope this helps
find an equation for the nth term of the sequence -4,-16,-64,-256
Answer:
this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144
Please Help, what is the answer
Answer:
The correct option is (2).
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]
We can calculate it as follows :
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]
So, the final answer is x⁶. The correct option is (2).
C = ?
when d = 25 m.
(C = circumference)
(d = diameter)
Answer:
12.5m
Step-by-step explanation:
I don't wanna type it lmco (laughing my cheeks off)
Answer this page: BIG REWARD GRANTED
Answer:
I don't even get what you want us to do
Step-by-step explanation:
Answer this correctly I’ll give brainalist + 10 points
Answer:
50
Step-by-step explanation:
please brainalist
Answer:
x= 60
Step-by-step explanation:
brr 180 degrees total, divided by 3x would be 60
so X=60
A pet store sold 12 siamese cats. If the ratio of siamese cats to house cats sold was 2 : 1, what is the combined amount of cats sold?
Answer:
32 cats in total
Step-by-step explanation:
so 18 siamese
the ratio was9:7=siameese:house
18=9 units
divide 9
2=1 unit
house=7 units
7 times 2=14
14 house cats
combined=siameese+house=18+14=32
I think its perpendicular but I want to be sure. Will mark brainliest!
Answer:
Its perpendicular
Step-by-step explanation:
Because the slopes are recipricles of eachother
A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *
Answer:
i do not know that one
Step-by-step explanation:
I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished
calculate 30% of 500 kg
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
Solve and graph the inequality.
−x4−6≥−8
Answer:
Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]
Answer:
-4x ≥ 14
x ≥ -3.5
Graphed (numberline):
<-----------3.5---0------------->
could be x
what is the sum of 2/5 and 2/5 in simplest form
Answer:
The answer is 2/5
Step-by-step explanation:
2/5+2/5=4/5=2/5
Simplify the expression:
2n + 10(9 + 4n)
Answer:
42n+90
Step-by-step explanation:
Using the provided measures determine the measure of angle K.
A)30.5°
B)34.90
C)41.2°
D)58.0°
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:
[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]
Substitute
[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]
Multiply both sides by 3.18
[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]
[tex] sin(K) = 0.5716 [/tex]
[tex] K = sin^{-1}(0.5716) [/tex]
K = 34.8618741° ≈ 34.90°
Mason wants to host a housewarming party. The following equation represents how the cost of party depends on the number of attendees.
The equation is d= 16a
The variable \mathrm{a}a represents the number of attendees, and the variable d represents the cost in dollars.
Find the number of attendees who could be invited if Mason budgets a total of $80 for his party.
can somebody help me?
Answer:
D
Step-by-step explanation:
If f(x) = x + 2x - 3, what is the value of f(1 + 2)?
Answer:
6
Explanation:
substituting- f(x)= (1+2) + 2(1+2) -3
3 + 2(3)-3
3+6-3
=6
HOPE IT HELPS
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
y-2=-5(x-2) slope intercept form
Answer:
y = -5x + 12
Step-by-step explanation:
slope intercept form is where you simplify it and get the y by itself, so:
[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]
Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x
Answer: 5.4
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074
Answer:
There is a sufficient evidence that the coefficient b1 is not zero
There is a sufficient evidence that the coefficient b2 is not zero
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]b_1 = 2.815[/tex]
[tex]Sb_1 = 0.75[/tex]
[tex]b_2 = -1.249[/tex]
[tex]Sb_2 = 0.41[/tex]
[tex]\alpha = 0.05[/tex]
Claim: Coefficient is zero
The null and alternate hypotheses are:
[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]
The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]
Calculate the rejection region
[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]
Calculate the degrees of freedom
[tex]df = n -2[/tex]
[tex]df = 30 -2[/tex]
[tex]df = 28[/tex]
On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:
[tex]t\ value = 2.048[/tex]
The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.
So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]
Testing the first independent variable
Calculate test statistic
[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]
[tex]t = \frac{2.815 - 0}{0.75}[/tex]
[tex]t = \frac{2.815 }{0.75}[/tex]
[tex]t = 3.753[/tex]
[tex]t = 3.753 > 2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Testing the second independent variable
Calculate test statistic
[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]
[tex]t = \frac{-1.249 - 0}{0.41}[/tex]
[tex]t = \frac{-1.249 }{0.41}[/tex]
[tex]t = -3.0463[/tex]
[tex]t = -3.0463 < -2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero