Answer:
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
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].
They randomly survey 391 drivers and find that 319 claim to always buckle up.
This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]
85% confidence level
So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Find the whole. 60% of what number is 9?
Answer:
15
Step-by-step explanation:
60% × ? = 9
? =
9 ÷ (60 ÷ 100) =
or
(100 × 9) ÷ 60 =
900 ÷ 60 =
15
How do we check the result?
If 60% × 15 = 9 =>
Divide 9 by 15...
... And see if we get as a result: 60%
reduce a)95/75 b) 250/750 to its simplest form
Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
Find the value of x.
5xº
55°
O A. 7
B. 25
C. 18
O D. 11
Answer:
the answer for this would be D. 11
The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A random sample of 9 adult female black bears from those tagged had an average body weight of 203 pounds with standard deviation 25 pounds. Which of the following is a point estimate for the population mean weight of all female black bears that are tagged?
a. 9
b. 25/√9
c. 25
d. 203
e. 2,844
Answer:
203
Step-by-step explanation:
Sample size, n = 9
Mean weight, m = 203
Standard deviation = 25
Point estimate for the population mean weight of all black bears that are tagged `
The point estimate of the population mean ;
ΣX / n
Sum of sample / sample size ;
This is the mean value formula for the sample.
However, since it has been given in the question that, sample mean weight value = 203 ; then the point estimate of the population mean weight = 203
Option d: 203 is a point estimate for the population mean weight of all female black bears that are tagged.
Given that:Total tagged adult female black bears in the national park = 2,844Sample size = 9Sample mean of body weight of female black bears = 203 pounds.To find:Point estimate of population mean weight of female black bears that are tagged.
Calculations and explanations:Point estimation of population mean is calculated by calculating the mean of the sample drawn from that population. This estimate is considered best guess of population mean.
The sample mean is obtained by:
[tex]\overline{x} = \dfrac{\sum \text{sample observations}}{\text{sample size}}[/tex]
Since it is given that the sample mean is 203, thus we have the point estimate of the population mean as 203 too.
Thus, 203 is a point estimate for the population mean weight of all female black bears that are tagged.
Learn more about point estimate of population mean here:
https://brainly.com/question/20747890
How much should be invested at an interest rate of 5.5% for 20 years to obtain the accumulated amount of
$1,000,000 if the principal was compounded continuously?
Answer: $3004166.02
Step-by-step explanation: Alrighty then so first we need a formula to solve which is A=Pe^rt which is the compounded continously formula you can find online or a textbook. The formula you should use a calculator to solve is $1,000,000e^0.055(20)= $3,004,166.024
Choose the inequality that represents the following graph.
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5
please help me get this answer
Answer:
Step-by-step explanation:
Due to similarity in Tri ABC and ADE so,
[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]
[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]
[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]
Se all of the expressions that are equivalent to 2k +2+k+3+ 2k.
Answer:
5k+5
Step-by-step explanation:
Combine Like Terms:
=2k+2+k+3+2k
=(2k+k+2k)+(2+3)
=5k+5
Write the word sentences as an equation! Half of a number q is 14.
Answer:
q/2=14I hope this helped you :)
Zher and Gabbie are making cookies for the Hospitable Pantry. They only have up to 6 hours to
bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an
hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
Answer:
32x3=96. 20x3= 60. 60 + 96=156 if you make 3 hours of chocolate chip and 3 hours snickerdoodles you will have 156 cookies
Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%.
is it multipuction then do that the rest
how do i solve this problem 1/15+1/6
Answer:
7/30
Step-by-step explanation:
1/6 = 1x5/6x5
= 5/30
1/15= = 1x2/1x15
=2/30
2/30 + 5/30 = 7/30
hello hello I need help asap
Answer:
im not smart
Step-by-step explanation:
The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5
Answer:
See answers below
Step-by-step explanation:
T59 = a+58d = -61
T4 = a+3d = 64.
Subtract
58d-3d = -61-64
-55d = -125
d =125/55
d = 25/11
Get a;
From 2
a+3d = 64
a+3(25/11) = 64
a = 64-75/11
a = 704-75/11
a = 629/11
T23 = a+22d
T23 = 629/11+22(25/11)
T23 = 1179/11
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save
Answer:
$42
Step-by-step explanation:
7/14=1/2 so he saved 1/2 of 84
Which expression is equivalent to 7m + 5 + 6 + 3m?
A. 13m + 8
B. 10m + 11
C. 4m + 11
D. 4m + 8
PLEASE HELP ASAP
Answer:
B.10m + 11
....................
The ratio of girls to boys on a soccer team is 2 to 3. If there are 15 boys on the team, how many are girls? Let g = the number of girls on the team. Set up a proportion for this word problem.
Answer:
3X=15
X=5
2X5= 10
G=10
Step-by-step explanation:
Need help getting a equation that you distribute that will equal x=6
Answer:
x+6=10-4+6
x=6+6-6
x=6
Emma bought 7 notebooks for $8.75. How much would 2 notebooks cost?
Answer:
$2.50
Step-by-step explanation:
8.75 / 7= 1.25
1.25 * 2 =2.50
Miguel pays $42.99 per month at Be Fit Gym. Jina pays $215.94 every 6 months at
Main Street Gym. Which gym is more expensive? How much more does membership at
that gym cost each month?
Milo has 5 rocks in his rock collection. He finds 40 rocks outside that he wants to put in his collection. If he places the rocks into boxes of 9, how many boxes of rocks will he have in his collection?
Answer:
puto el que lo lea
Step-by-step explanation:
jajajaja lol no
Answer:
5
Step-by-step explanation:
40+5=45. 45/9=5
ayudaa para mañana !!
Answer:
ok bueno dejamr haber que ago
Answer:
2/5 > 1/3
9/20 > 13/30
17/12 < 22/15
Step-by-step explanation:
Encuentra un denominador común. por ejemplo, 2/5 y 1/3 tienen un denominador común de 15. 2/5 se convierte en 6/15 y 1/3 se convierte en 5/15. 6 es mayor que 5. ¡Espero que esto ayude y buena suerte!
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment
Answer:
There were 70 choices for the four locations to apply the new ointment
Step-by-step explanation:
The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the four locations to apply the new ointment
Four locations from a set of 8. So
[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]
There were 70 choices for the four locations to apply the new ointment
Factor the expression d2-8d +16
PLEASE HELP The value of x in A is _, and the value of y in B is_.
A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.
The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
What is area?Area is the amount of space occupied by a two-dimensional figure.
How to calculate the area of square?The area of square is the product of the length of each side with itself.
[tex]A = a^{2}[/tex]
Where,
A is the area of square
a is the length of the side of square
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cuboidvolume = length × breadth × height
According to the given question
We have
A box with the open top and square base.
Let x be the side of the box. And h be the height of the box
Also, the cost of material for the base is $8 and for side is $2 per square foot.
The total cost of material for the box is $2400
⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]
⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]
⇒[tex]x^{2} + xh = 300[/tex]
⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]
Therefore,
volume of the box
[tex]= x^{2} h[/tex]
= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]
= [tex]x(300-x^{2} )[/tex]
= [tex]300x - x^{3}[/tex]
for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]
⇒ [tex]300 - 3x^{2} =0[/tex]
⇒[tex]300 = 3x^{2}[/tex]
⇒ [tex]x^{2} =100[/tex]
⇒ x = ± 10
⇒ x= 10 feet (x = -10 not possible)
So, h = [tex]\frac{300-100}{10} = 20feet[/tex]
Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
Learn more about volume here:
https://brainly.com/question/1578538
#SPJ2
A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?
Answer:
d = 5√2 units
Step-by-step explanation:
Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values with your endpoints.
d = √[(-6 - (-7))² + (4 - 11)²]
Solve within the parentheses.
d = √[(1)² + (-7)²]
Solve the exponents.
d = √[1 + 49]
Solve within the brackets.
d = √50
Simplify the square root.
25 • 2 = 50
√25 • √2 = √50
5 • √2 = √50
d = 5√2 units
Hope this helps!
Three years ago A's age was double of B's
age. Seven years hence, the sum of their
ages will be 83 years. Find the present
age of A?
Answer:
present Age of " A " will be (x) = 45 years
present Age of " B " will be (y) = 24 years
Step-by-step explanation:
Age of " A " = x years
Age of " B " = y years
(Three years ago A's age was double of B's age.)
==> (x-3) = 2 * (y-3)
==> x - 2y = -6 + 3
==> x - 2y = -3 -------------(1)
(Seven years hence, the sum of their ages will be 83 years )
==> (x+7)+(y+7) = 83
==> x + y = 83 - 14
==> x + y = 69 ------------(2)
Subtract equ.(1) & equ(2)
==> -2y - y = -3 - 69
==> -3y = -72
==> y = -72/(-3)
==> y = 24
Keep value of y in equ(2)
==> x + 24 = 69
==> x = 69 - 24
==> x = 45
15x > - 60
Help and I’ll give u brainlist :)
Answer:
most likely 1 or 20 but im not so sure tho
4x-5y=11 and 8x-5y=27
Answer:
y = -1 , x = 4
Step-by-step explanation:
(4x - 5y = 11) x8
(8x - 5y = 27) x4
32x - 40y = 88
- - -
32x - 20y = 108
[0. 20y = -20] divide both by 20
y = -1
8x - 5y = 27
8x - 5(-1) = 27
8x = 27 + 5
8x = 32 ( divide both by 8)
x = 4
