Answer:
67.5,
Step-by-step explanation:
22.5x3 =67.5, P=2(l+w)=2·(22.5+67.5)=180
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.
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).
3-3(x-2)
simplify the expression
Answer:
-3-3x
Step-by-step explanation:
3-3(x-2)
3-3x+6
-3-3x
Answer:
-3x+9
Step-by-step explanation:
Bonnie has 4 sharpened and 8 unsharpened pencils in her pencil case. She randomly selects 2 of the pebcils from the box without replacement. What is the probability that both pencils will be sharpened? A. 1/2 B.1/9 C. 4/33 D.1/11
Answer:
D. 1/11.
Step-by-step explanation:
There are 12 pencils in the case.
Prob( first one is sharpened) = 4/12 = 1/3
Prob(second is sharpened) = 3/11
Prob(both sharpened) = 1/3 * 3/11
= 3/33
= 1/11.
The probability is 1/11 that both pencils will be sharpened which is the correct option(D).
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.
Given that,
Bonnie has 4 sharpened and 8 unsharpened pencils
So, there is a total of 12 pencils in the pencil case.
Let, the probability first one is sharpened is P(E₁)
The probability second one is sharpened is P(E₂)
P(E₁) = 4/12 = 1/3
P(E₂) = 3/11
Required probability both sharpened P(E) = P(E₁)×P(E₂)
Required probability both sharpened P(E) = 1/3 × 3/11
Required probability both sharpened P(E) = 3/33
Required probability both sharpened P(E) = 1/11.
Hence, the probability is 1/11 that both pencils will be sharpened.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
Match the expressions given in words with their values when d= 3. Help
Answer:
3
4
0
2
Step-by-step explanation:
3
4
0
2
Evaluate the function at the given values.
f(x) = 4x-5
a. f(6)
b. f(-1/2)
c. f(0)
Answer:
C. F(0)
Step-by-step explanation:
Add 5 to both sides. 5(x)=4(x)
5(0)=4(0) because 5 x 0 = 0 and 4 x 0 = 0.
how do u do this
ahahahehhehehe
Answer and Step-by-step explanation:
Angle 1 and angle 2 combined equals 180.
So, to find angle 1, we subtract angle 2 from 180.
180 - 57 = 123
m∠1 = 123°
#teamtrees #WAP (Water And Plant)
Answer:
answer is 127 try it and ark me as brainliest
Step-by-step explanation:
180-57
123degrees
Multiply (3x +9)(2x - 5)
[tex] {6x}^{2} + -15x + 18x -45[/tex]
hope that helped:)
Step-by-step explanation:
=(3x+9)(2x-5)
=3x(2x-5)+9(2x-5)
=6x²-15x+18x-45
=6x²+3x-45
hope it helps.
What is the solution to this inequality? 10x+18<−2
Answer:
[tex]x = - 2[/tex]
[tex]10x + 8 < - 2 \\ 10x < - 2 - 8 \\ 10x < - 20 \\ \frac{10x}{10} < \frac{ - 20}{10} \\ x < - 2 [/tex]
b) A car priced at $3600 is reduced by 25%.
What is the reduced price?
3600:25 =144
reduced price is 144$
how can you
change the equation y = mx + b to
shift the graph down?
Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.
The figure shows a square with sides of length 1 and a diameter of length x.
How can you determine the value of x?
Find x.
Pls help i don’t know what this is or how to figure it out
Answer:
√2 unitsStep-by-step explanation:
It should be diagonal not diameter.
The diagonal of the square is √2 time the side.
The side given 1 unit, then the diagonal is x = √2 units
9514 1404 393
Answer:
x = √2
Step-by-step explanation:
Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...
c² = a² + b²
The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...
x² = 1² + 1²
x² = 2
x = √2 . . . . . . the length of the diagonal (diameter)
_____
Additional comment
The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...
side : side : hypotenuse = 1 : 1 : √2
(You will see this again.)
Is 1/3 less than or greater than 5?
Answer: Less than 5
Step-by-step explanation: 1/3 is less than one its .33 so 5 is bigger
Answer: 5
Step-by-step explanation: 1/3 is smaller than 5 therefore 5 is bigger
If a cross section of a rectangular prism is cut perpendicular to the base, what would be the shape of the resulting cross section
Answer:
Step-by-step explanation:
We are given a rectangular prism as shown.
Part A: After slicing the rectangular prism with a plane parallel to the base, we see that the cross-sectional region will be similar to a rectangle.
Thus, the cross-sectional region is a RECTANGLE.
Answer:
triangle
Step-by-step explanation:
What is 13x+14=???????
Answer:
x= -1.077
Step-by-step explanation:
(13x+14) -14=0(-14)
13x/(13)= -14/(13)
x= -1.077
What is the equivalent measure of 2.8 grams in hectograms?
Answer:
0.028 hectograms
Step-by-step explanation:
1 gram = 0.01 hectograms
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order costing system and computes a predetermined overhead rate in each production department. The Milling Department's predetermined overhead rate is based on machine-hours and the Customizing Department's predetermined overhead rate is based on direct labor-hours. At the beginning of the current year, the company had made the following estimates:
Milling Customizing
Machine-hours 18,000 13,000
Direct labor-hours 4,000 7,000
Total fixed manufacturing overhead cost $ 113,400 $ 64,400
Variable manufacturing overhead per machine-hour $ 1.60
Variable manufacturing overhead per direct labor-hour $ 3.90
During the current month the company started and finished Job A319. The following data were recorded for this job:
Job A319: Milling Customizing
Machine-hours 60 10
Direct labor-hours 20 60
Direct materials $ 655 $ 305
Direct labor cost $ 400 $ 1,200The amount of overhead applied in the Milling Department to Job A319 is closest to:
A. $552.00
B. $474.00
C. $142,200.00
D. $96.00​
Answer:
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order
Tara bought s sheets of stickers. There are 5 stickers on each sheet. Write an expression that
shows how many stickers Tara bought.
Please answer
Answer:
y= 5s
Step-by-step explanation:
Since 5 stickers are in every sheet depending on the number of sheets you get and times it with 5 you get the number of stickers Tara bought.
If x=9 in what is the surface area of the geometric shape formed by this net?
Answer:
1134 in²Step-by-step explanation:
Surface area is:
x²*2 + 3x*x*4 = 14x²Substitute x:
14x² = 14*9² = 1134 in²Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $450 and has not made any withdrawals or deposits since then.
If her interest rate is 7% each year, how much interest has accrued using simple interest?
Answer:
Step-by-step explanation:
The interest accrued is $258.48.
Step-by-step explanation:
Given that:
Initial balance in the savings account = $359
Interest rate = 8%
Time for which no withdrawals or deposits were done = 9 years
To find:
Simple Interest accrued = ?
Solution:
First of all, let us have a look at the formula for simple interest.
Where P is the Principal Amount.
R is the annual rate of interest
T is the time in years.
Here, we are given:
P = $359
R = 8%
T = 9 years
Let us put all the values in the formula:
So, the interest accrued is $258.48.
Pleaseeee helpp its due in 6 mins
Answer:
5 8 as decimal is: 0.625
Step-by-step explanation:
What is 5/8 as a decimal?
To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 5 by 8 what we write down as 5/8 and we get 0.625
And finally we have:
5/8 as a decimal equals 0.625
When 5 randomly selected people all have the same birth month of March.
Answer:
I know 4 people that are all really close friends and all have birthdays in march.
Step-by-step explanation:
Which of the following is most likely the next step in the series ?
Answer:
The answer is F) g21T
Hope it helps!
Thanks!
Find AB.
MN=22
DC=29
Answer:
AB=15
Step-by-step explanation:
Since DM =MA and CN=NB, then DC || MN || AB
29-22=7
22-7=15
AB=15
Ralph receive money from his family members for his graduation. He decides he wants to spent no more than $120 on movies to bring with him to college.
Two number cubes are tossed. Find P(1, then 2 or 3).
Answer:
1/2
Step-by-step explanation:
Answer:
1/6 × 2/6 × 3/6 = 1/36
Step-by-step explanation:
f(x)=2x^2-5 g(x)=5x+7
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Evaluate the function f(x) =x/2-5
For x=-3
F(-3)
Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution
At a garage sale, a large bin full of DVDs and CDs are being sold. All the DVDs are the same price, and all the CDs are the same price.
Aleah buys 2 DVDs for $6 and 4 CDs for $8. Her friend, Ling, wants to buy 4 DVDs and 2 CDs. How much will Ling have to pay?
Aleah's brother, Pierre, wants to spend $20 on DVDs and CDs. What combination of DVDs and CDs could he buy?
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Ling bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
I need the answer asap!!
Answer:
Step-by-step explanation:
x² × 2x² = 2x^4 (2x to the power of 4)
x² × -3x = -3x³
+3 × 2x² = 6x²
+3 × -3x = -9x
2x^4 , -3x³ , 6x², -9x
In bold are the bottom two
