Answer:
The 99% confidence interval for the proportion of drug-related deaths that were caused by legally prescribed drugs is (0.841, 0.943).
As a percentage, the confidence interval is (84.1%, 94.3%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
223 out of 250 deaths were caused by legally prescribed drugs.
This means that:
[tex]n = 250, \pi = \frac{223}{250} = 0.892[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.892 - 2.575\sqrt{\frac{0.892*0.108}{250}} = 0.841[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.892 + 2.575\sqrt{\frac{0.892*0.108}{250}} = 0.943[/tex]
The 99% confidence interval for the proportion of drug-related deaths that were caused by legally prescribed drugs is (0.841, 0.943).
As a percent:
Multiply the proportions by 100%.
0.841*100% = 84.1%
0.943*100%= 94.3%
As a percentage, the confidence interval is (84.1%, 94.3%).
P(x,y) reflection in x=y line
Answer:
P(x,y) reflection in x=y line:(y,x)
I need this answer today i will give you a crown and good raitings if you get it write and you give it to me today
Answer:Mean is 22. Median is 19. Mode is 31. Range is 18.
Step-by-step explanation:
Mean: add all the numbers and divide the answer by the number of numbers there were in the beginning.
31+16+13+19+31=110
110/5=22
Median: arrange the numbers in or Eder and find the middle
13,16,19,31,31
The middle is 19.
Mode: is the number that shows up frequently
Mode is 31 as it shows up twice
Range is the difference between the biggest and smallest number
31-13=18
18 is the range.
Write the equation of the line with slope m=1/3 through the point (6,−2). Then, sketch a graph of the line.Please be sure to scale your axes!
9514 1404 393
Answer:
y +2 = (1/3)(x -6)
Step-by-step explanation:
When given a point and a slope, it is convenient to use the point-slope form of the equation for a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For your point and slope, this is ...
y +2 = 1/3(x -6)
__
The slope of 1/3 means the graph has a "rise" of 1 for each "run" of 3:
slope = m = rise/run = 1/3
A graph of it is attached.
Plz answer this correctly
9514 1404 393
Answer:
8 m
Step-by-step explanation:
The area of a circle of radius r is ...
A = πr²
The total area of the two circles is ...
80π m² = πr² +π(2r)² = 5πr²
r² = 16 m² . . . . . . . . . divide by 5π
r = 4 m . . . . . . . . . . . positive square root
The radius of the larger circle is 2r = 2(4 m) = 8 m.
Answer:
8 m is the answer.
Step-by-step explanation:
#CarryOnLearningPlz help no links :)
Answer:
C) f(x) = 6.25x + 3
Step-by-step explanation:
In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be
f(x) = 6.25x + 3
We can input the # of candies for x and see that it provides the exact results every time as seen in the table.
f(x) = 6.25(1) + 3 = 9.25
f(x) = 6.25(2) + 3 = 15.50
f(x) = 6.25(3) + 3 = 21.75
f(x) = 6.25(4) + 3 = 28
write this in exponential form
a×b×a×b×a
[tex] {a}^{3}. {b}^{2} [/tex]
:D
Explanation:
We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.
Similarly, the b^2 means we have b*b or two copies of b multiplied together.
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
Which one is the value for x, y and z
Answer:
Option (3)
Step-by-step explanation:
Properties of the equal matrices,
1). Every element of the one matrix are equal to the elements of other.
2). Both the matrices have same dimensions.
If, [tex]\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}[/tex]
[tex]x+3=5[/tex]
[tex]x=2[/tex]
[tex]y+4=0[/tex]
[tex]y=-4[/tex]
[tex]x=-5[/tex]
Therefore, Option (3) will be the correct option.
What is the volume of the cylinder below?
Answer:
Step-by-step explanation:d
Determine the center and radius of the following circle equation:
x2 + y2 – 16x + 10y + 80 = 0?
Answer:
centre is (8, -5)
[tex]r = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{64 + 25 - 80} \\ = \sqrt{9} \\ r = 3 \\ radius \: = \: 3 \: units[/tex]
help lol plsssss!!?!?
Answer:
3y-x =-6
Step-by-step explanation:
The equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
(x0, y0) is the point = (3, -1)
Given the equation 3xs+y = 1
Get the slope
y = -3x + 1
mx = -3x
m = -3
Since the equation needed is perpendicular to the line, the slope will be expressed as;
M = -1/-3
M = 1/3
Substitute and get the equation needed
y-y0 = m(x-x0)
y - (-1) = 1/3(x-3)
y+1 = 1/3(x-3)
3(y+1) = x-3
3y+3 = x-3
3y - x = -3-3
3y-x =-6
This gives the required equation
find tan 0 where 0 is the angle shown
Answer:
Because tan represents [tex]\frac{opposite}{adjacent}[/tex] from θ (theta), the equation should be [tex]tan0[/tex]=[tex]\frac{15}{x}[/tex]. Let's leave this equation like that. Now, we need to find the unknown side length, x. We need to use Pythagorean Theorem, because we're given the other two side lengths. The equation should be [tex]x^{2}+15^{2}=17^{2}[/tex]. X should equal ±8 or 8, because a side length can't be a negative value. Now, we can plug in 8 into the equation to get [tex]tan0=\frac{15}{8}[/tex].
Which equation is equivalent to the given equation?
-4(1 – 5) + 8x = 9x - 3
Answer: Hello Luv........
Isolate the variable by dividing each side by factors that don't contain the variable.
x=19
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Trying to understand why the answer is 5...
The National Collegiate Athletic Association (NCAA) cares about success for athletes both in their sports and in their education. Imagine a researcher hired by the NCAA wants to know how athletes' academic performance is affected by the stage of their competitive season. She examines performance in the pre-season, throughout the active competitive season, and post-season, having 150 athletes, from across several different sports, assessed during each period. What statistical analysis would be appropriate for this research
Answer:
a. one-way within-groups ANOVA
Step-by-step explanation:
Here, the research question meets the conditions required for a one-way within group ANOVA. One way within group anova allows for comparison between the mean of three or more groups or levels of one independent variable on a dependent variable. In the scenario above, the one independent variable is stage of the season with levels : (pre-season, throughout active season and post season) and the dependent variable being the athletes academic performance. It is a within group ANOVA as all subjects are used to test each level of the independent variable. Which is different from between groups where different subjects are assigned to different groups.
scientists released 8 rabbits into a new habitat in year 0
Answer:
A. f(x)= 8(2)^x
Step-by-step explanation:
hope that helped
Can you help me with this question??
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Answer:
about 1.4288993 radians
Step-by-step explanation:
The angle to terminal arm A is ...
∠A = arctan((-4/5)/(-3/5)) ≈ 4.0688879 radians
The angle to terminal arm B is ...
∠B = arctan((-1/√2)/(1/√2)) ≈ 5.4977871 radians
Then the angle between the arms is ...
5.4977871 -4.0688879 ≈ 1.4288993 . . . radians
Solve for x & show steps
2000 = 400√x
x=25
Step-by-step explanation:
2000=400√x
Step 1: Flip the equation.
400√x=2000
Step 2: Divide both sides by 400.
400√x/400=2000/400
√x=5
Step 3: Solve Square Root.
√x=5
x=52(Square both sides)
x=25
Check answers. (Plug them in to make sure they work.)
x=25
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half of them were assigned at random to the vaccine group, and the other half to the placebo.16 In the vaccine group, there were 57 cases of polio, compared to 142 in the placebo group. Is this difference due to chance? If not, what explains it?
Answer:
Step-by-step explanation:
From the given information:
The number of children that were randomly allocated to each vaccination group; n₁ = 200,000
No of polio cases X₁ = 57
Now, in the vaccine group:
the proportion of polio cases is:
[tex]\hat p_1 = \dfrac{57}{200000}[/tex]
= 0.000285
The number of children that were randomly allocated to the placebo group, n₂ = 200,000
No of polio cases X₂ = 142
In the placebo group
the proportion of polio cases is:
[tex]\hat p_2 = \dfrac{142}{200000}[/tex]
Null and alternative hypothesis is computed as follows:
H₀: There is no difference in the proportions of polio cases between both groups.
H₁: There is a difference in the proportions of polio cases between both groups.
Let assume that the level of significance ∝ = 0.05
The test statistic can be computed as:
[tex]Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}[/tex]
[tex]Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}[/tex]
[tex]Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}[/tex]
Z = - 6.03
P-value = 2P(Z < -6.03)
From the Z - tables
P-value = 2 × 0.0000
= 0.000
We reject the H₀ provided that P-value is very less.
Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.
If Sn=2^n-1
what's the expression of
Sn-1?
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].
Add 473 base eight and 362 base eight
Answer:
1055
Step-by-step explanation:
473
+ 362
--------- 3 + 2 = 5, even in base 8
5
Now 7 + 6 = "thirteen" = 15 in base 8 so write 5 in the next column, carry 1
1
473
+ 362
---------
55
1 + 4 + 3 = "eight" = 10 in base 8. Write 0 in the next column, carry 1
1
473
+ 362
---------
1055
Ryan sprinted 139 feet. How many yards did he sprint
Answer:
Ryan sprinted 46.33 yards.
Step-by-step explanation:
Ryan sprinted 139 feet.
1 feet = 0.33 Yard
Formula: Divide the length value by 3
Now,
139 ÷ 3 = 46.33
Thus, Ryan sprinted 46.33 yards.
-TheUnknownScientist
A field is a rectangle with a perimeter of 1160 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
Answer:
w = 90 feet and l = 490 feet
Step-by-step explanation:
First, determine what you're given:
Perimeter = 1,160 feet
Perimeter = 1,160 feetlength = (w)idth + 400
idth + 400width = w
Next, solve for the length and the width using the perimeter equation (2l + 2w = Perimeter)
2(400+w) + 2w = 1,160 feet
(800 + 2w) + 2w = 1,160 feet
800 + 2w + 2w = 1,160 feet
800 + 4w = 1,160 feet
{ Subtract 800 from both sides }
4w = 360 feet
{ Divide both sides by 4 to isolate w }
w = 90 feet
Finally, you've solved for the width which is 90 feet. Plug this back into your equation for length;
[ l = 400 + w ]
l = 400 + (90)
l = 490 feet
Since it never hurts to check;
2l + 2w = 1,160 feet
2(400+w) + 2w = 1,160 feet
2(400+90) + 2w = 1,160 feet
✅2(490) + 2(90) = 1,160 feet
Isaac has a games rental business where his customers pay an annual membership and a fixed cost for each game rented. The following table shows the total bill for some new customers who rented different games .
Answer:
(H) is your answer i believe
Step-by-step explanation:
i subtracted 18 from each cost then divided it by 4 and got the numbers of game rented.
PLS ANSWER. 215 + (--57) =
Answer:
C. 158
Step-by-step explanation:
215 + (- 57)
215 - 57
158
Answer:
Option C, 158
Step-by-step explanation:
This is the same as expression: 215 - 57
So the answer would be: 158
Hope this helps!
How long will it take for an investment of $3000 to double in value if the interest rate is 6.5% per year compounded continuously round your answer to two decimal places
PLEASE HELPPPP
Answer:
19,500 I'm pretty sure
Step-by-step explanation:
3,000 x 6.5 = 19,500
Determine the level of measurement of the variable below.
Highest degree conferred (high school, bachelors, and so on)
Choose the correct answer below.
A. interval
B. ordinal
C. nominal
D. ratio
add the fractions and simplify the 2 1/4 + 5 5/6 + 3 2/3
Answer:
141/12
Step-by-step explanation:
the ratio of the length of two similar re rectangles is 3 ratio 4. what is the scale ratio of their areas in
full solving
Answer:
9:16
Step-by-step explanation:
The ratio of sides of the lengths of rectangles is 3:4.
Now since the scale is constant. So the scale ratio of area will be square of the side ratio .That is :-
→ Ratio of Area = ( 3 : 4)²
→ Ratio of Area = (3/4)²
→ Ratio of Area = 9/16
→ Ratio of Area = 9:16
Hence the ratio of areas is 9:16 .Gabby and Dominic think differently when it comes to money. Gabby believes that she should put her money in the bank, but Dominic thinks he should keep his
money at home in his Umizoomi piggy bank.
Who do you agree with? Why?
Answer:
I agree with gabby because if a bank is robbed you will get your money back from the bank.
if a piggy bank is stolen then you cant get the money inside it back.
Step-by-step explanation: