Answer:
4 and -4
Step-by-step explanation:
Two polls were conducted about the upcoming election for new governor. The first poll said that 45% of the people asked would vote for Mr. Johnson with a margin of error of plus or minus 4.6%. The second poll said that 42% of the people asked would vote for Mr. Johnson with a margin of error of plus or minus 3.6%.
Can the conclusions of both polls be correct?
a. yes, the two corresponding confidence intervals overlap.
b. no, the difference between 45% and 42% is too large.
c. no, the two corresponding confidence intervals do not overlap.
Answer:
A. Yes, the two corresponding confidence intervals overlap.
Step-by-step explanation:
The correct option is - A. Yes, the two corresponding confidence intervals overlap.
Reason -
P(1) = 45% = 0.45
E(1) = 4.6% = 0.046
Confidence Interval = P(1) ± E(1)
= 0.45 ± 0.046
So, the interval is -
0.45 + 0.046 ≤ P ≤ 0.45 - 0.046
⇒0.496 ≤ P ≤ 0.404 .............(1)
Now,
P(2) = 42% = 0.42
E(2) = 3.6 % = 0.036
Confidence Interval = P(2) ± E(2)
= 0.42 ± 0.036
So, the interval is -
0.42 + 0.036 ≤ P ≤ 0.42 - 0.036
⇒0.456 ≤ P ≤ 0.384 ...............(2)
From equation (1) and (2), we get
The two corresponding confidence intervals overlap.
perimeter 254 meters and dimension measures 6 meters
Answer:
didn't even ask a question
Step-by-step explanation:
impossible to answer without a question
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period
Answer:
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.
Step-by-step explanation:
Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams
To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.
Proof -
Given that,
In between period of 32 to 35 weeks
Mean = 2500
Standard deviation = 700
In between after a period of 40 weeks
Mean = 3100
Standard deviation = 390
Now,
For a 34-week baby,
X = 2950
For a 41-week baby,
X = 3550
Now,
Z-score = (X - mean) / Standard deviation
Now,
For a 34-week baby,
Z - score = (2950 - 2500) / 700 = 0.643
For a 41-week baby,
Z-score = (3550 - 3100) / 390 = 1.154
∴ we get
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
As 1.154 > 0.643
So,
Baby weight of 41-week is more than baby weight of 34-week in the gestation period.
Find f(3.5) if f(x) = (4x - 2)/10
Answer:
when f=3.5, f(x) = 1.2
Step-by-step explanation:
[4(3.5) -2] / 10 = 12/10 = 1.2
Please help I’ll mark you as brainliest if correct!
A
B
C
D
Answer:
A is the answer
Step-by-step explanation:
If I said you needed to pick up a number that was less than 7 or a number greater then 5 what would be the solution
Answer:
6
Step-by-step explanation:
the only number between those to is 6
A student purchased 9 binders for $11.07.
Use the drop down to answer the question.
Which equation can be used to find the cost of each binder, b, in dollars?
Answer:
11.07/9
Step-by-step explanation:
Math
Help me plzzzzzzzzzz I give u BRAINLY
The answer is
X= 3 and Y= -4
Answer:
If you are solving for substitution then the anwser is x+3, and y = -4 (3, -4)
Step-by-step explanation:
First you solve for x
x-2y=11 to x = 11 + 2y
Then you plug it in to the first equation.
-7 (11 + 2y)- 2 = -13 Then Simplify. -77 - 16y= -13
Solve for Y.
Add 77 to both sides. -16y= 64
Divide both sides by -16
y= -4
The Solve for X
x=11 + 2 x -4
X=3
Therefore the anwser is (3, -4)
Please help me!! I don’t get this!
Answer:
c) (x+1)²+(y-3)²=25
Step-by-step explanation:
Please help I’m really confused
Answer:
Count the dots but instead as a Fraction. Like one dot is the fraction the line is on. Add them together to get your answer
Step-by-step explanation:
Hope this helped :D
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2: Suppose a sample of 211 tankers is drawn. Of these ships, 146 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.
Step-by-step explanation:
Proportion of oil tankers that had spills.
Number of tankers with spills divided by the total number of tankers.
In this question:
211 tankers
146 did not have spills, so 211 - 146 = 65 had
Proportion:
[tex]p = \frac{65}{211} = 0.308[/tex]
The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answer:
9.61cm
Step-by-step explanation:
Let height be x thus length will also be x
since the base is a square the width and length are also equal.
volume of pyramid=length×width×height
3
296cm³=x×x×x
3
296×3=x³
888=x³
x= cube root of 888
x=9.61cm
Someone please help me! I really need help I’ll mark brainliest
Answer:
it is B
Step-by-step explanation:
trust me i know this is right 100%
Luis solved the following equation below: - x ^ 2 + 10x - 21 = y Line Line Line 1x = (- (10) plus/minus sqrt((10) ^ 2 - 4(- 1) * (- 21)))/(2(- 1)) 2x = (- 10 plus/minus sqrt(100 - 84))/- 2 3x = (- 10 plus/minus sqrt(16))/- 2 Line 4 x= -10 pm sqrt 4 -2 5x = (- 10 plus/minus 2)/- 2 Linedx = (- 10 + 2)/- 2 x = (- 10 - 2)/- 2 x = - 8/- 2 x = - 12/- 2 Line Line 7 Line 8 x = 4 x = 6 Did Luis solve the above function properly ? Justify why or why not and be specific (use the line numbers as reference
Answer:
Sorry try using the math tool.... it looks like a square root sign with a x inside of it! :)
[tex]\sqrt{x}[/tex] <-- pretty much like this one and is at the bottom of your brainly tab :)
It makes things clearer when it comes to these sort of things and eliminates things like, " plus/minus, sqrt, Linedx, 2 Line Line 7 Line 8x = 4x =6
Hope this helps :)
Step-by-step explanation:
Answer:
x = 7, x = 3Steps:
-x²+10x-21 = 0
x = (-10±√(10²-4×(-1)×(-21)))/2×(-1)
x = (-10±√(100-84))/-2
x = (-10±√16)/-2
x = (-10±4)/-2
x = (-10-4)/-2 , x = (-10+4)/-2
x = -14/-2 , x = -6/-2
x = 7 , x = 3
Luis did not solve the equation properly!
(please answer if you know) On a map, 1 inch equals 5.2 miles. Two houses are 3.5 inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios. What ratio is more helpful for solving the problem? Explain.
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume
Answer:
Step-by-step explanation:
Let assume that the volume = 88 cubic feet
Then:
[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]
The construction cost now is:
[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]
Now, to determine the minimum cost:
[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]
[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]
Now;
[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]
[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]
Can someone help please ASAP
Answer:
U need to draw a triangle
Step-by-step explanation:
Ther *must* be an faster way of symplifying this expression. What could I have done differently?
Answer:
3x4
Step-by-step explanation:
You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12
Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5
Answer:
1/3
Step-by-step explanation:
p=1/6+1/6
=2/6
=1/3
Find the surface area of a triangle prisms
Answer: 544 sq. inch
Step-by-step explanation:
12 x 8 x 0.5 x 2 + 10 x 14 x 2 + 12 x 14 = 544
a right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters. what is the volume of the rectangular prism?
Answer:
22.5 cm
Step-by-step explanation:
length times width times height
4th grade math please help
Answer:
Number one is D and Number 3 is also D
Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
I have $20 in my investment account if i save $5 each week how much money will I have in the account after 9 weeks? solve using an algebraic equation
Answer:
$135.
Step-by-step explanation:
please click the heart and rate excellent and brainleist to☻❤☺️☺️❤☻
A random sample of house sizes in major city has a sample mean of
Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
find the value of x in each figure
PLEASE DONT GIVE ME A LINK
Answer:
x = 24
Step-by-step explanation:
3X +5 +2x-4 +2x +11 = 180
7x +12 = 180
7x = 180 - 12
7x = 168
7x/7 = 168/7
x =24
Help please just look at the photo thank you
Answer:
8x
Step-by-step explanation:
at least thats waht i think it is
what is the answer pss help mw | -4 | _____ -4
3. You have a yard that has a width of 5 yd 1 ft and a
length of 30 ft. Find the simplified ratio of the width
to the length:
Answer:
5:47
Step-by-step explanation:
Any help with this question please?
Consider this equation.
c = ax – bx
Joseph claims that if a, b, and c are non-negative integers, then the equation has exactly one solution for x. Select all cases that show Joseph’s claim is incorrect.
A. a – b = 1, c ≠ 1
B. a = b, c = 0
C. a ≠ b, c = 0
D. a – b = 1, c = 0
E. a = b, c ≠ 0
Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
From the above, the answer to the question is choices B, C, and D
Solve for x using
cross multiplication.
x 1 = 2x + 4 5
x = [?]
Answer:
x = -7
Step-by-step explanation:
Given:
[tex] \frac{x - 1}{4} = \frac{2x + 4){5} [/tex]
Required:
Find x using cross multiplication
Solution:
Cross multiply
(2x + 4)*4 = (x - 1)*5
8x + 16 = 5x - 5
Collect like terms
8x - 5x = -16 - 5
3x = -21
Divide both sides by 3
x = -21/3
x = -7