Answer:
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
90 companies. 30 have at least one billingual operator.
This means that [tex]n = 90, \pi = \frac{30}{90} = 0.3333[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 - 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.2359[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 + 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.4307[/tex]
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
Determine the value of x
Answer:
B is the answer.
Step-by-step explanation:
Thankssssssss smmmmmmm
9514 1404 393
Answer:
46
Step-by-step explanation:
The length of base CD is twice the length of midsegment FG, so you can write the equation ...
CD = 2×FG
-3x +52 = 2(13 +5x)
52 = 26 +13x . . . . . . . . add 3x, simplify
26 = 13x . . . . . . . . . subtract 26
2 = x . . . . . . . . . . divide by 13
Then the measure of CD is ...
CD = -3x +52 = -3(2) +52 = -6 +52
CD = 46
Below are two parallel lines with a third line intersecting them
Answer:
hey, there is no attached photo. so I don't know how to help
Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]
Given:
In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]
[tex]156^\circ+m\angle C=180^\circ[/tex]
[tex]m\angle C=180^\circ-156^\circ[/tex]
[tex]m\angle C=24^\circ[/tex]
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
What is the coefficient for the variable d
Which expression could be used to find the volume of the prism shown below? A rectangular prism with length of 11, height of 5, and width of 8. (11 times 8) times 5 (11 + 8) times 5 (11 times 8) + 5 (11 + 5) times 8 Mark this and retu
Answer:
(11 x 8) x 5
Step-by-step explanation:
We find volumes of rectangular prims by multiplying the length by the width to get the area of a said prism, and multiplying the area by the height in order to get the volume.
Answer:
A
Step-by-step explanation:
Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour
Answer: answer is A
A:3/32
B:2/3
C: 1 1/2
D:4
PLEASE ANSWER FAST
A-1 Equipment Rental Company charges $195 per day to rent a backhoe. The rental cost at A-1 can be represented by the function a(x) 195x, where x is the number of days the backhoe is rented. A competitor charges $150 per day plus an extra $90 fee. The cost at the competitor can be represented by the function c(x) 150x 90, where x is the number of days the backhoe is rented. Describe the transformation from the graph of a to the graph of c.
a. vertical shrink by 10/13 and then a vertical translation 90 units down
b. vertical stretch by 10/13and then a vertical translation 90 units up
c. horizontal stretch by 13/10and then a vertical translation 90 units up
d. vertical shrink by 10/13and then a vertical translation 90 units up
Answer:
cccccccccccccccccccc
Find the surface area of the regular pyramid.
Answer:
D
Step-by-step explanation:
It helps to break the pyramid into shapes
triangles: ((b x h) ÷ 2) x 5
((4 x 8) ÷ 2) x 5= 80in
base: 27.5in
total sa: 27.5 + 80 = 107.5in
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
9514 1404 393
Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
Sketch the area under the standard normal curve over the indicated interval and find the specified area.
a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48
Answer:
a) The area of the right of z=0 is P(z >0) =0.5.
b) The area of the left of z=0 is P(z < 0) =0.5.
c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.
d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.
Step-by-step explanation:
Here are the graphs respectively.
In November, the rain in a certain valley tends to fall in storms of several days duration. The unconditional probability of rain on any day of the month is 0.600. But the probability of rain on a day that follows a rainy day is 0.900, and the probability of rain on a day following a nonrainy day is 0.300. Find the probability of rain on November 1 and 2. but not on November 3. Find the probability of rain on November 1 and 2, but not on November 3.
Answer:
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Step-by-step explanation:
Rain on November 1:
0.9 of 0.6(rain on Oct 31).
0.3 of 0.4(not rain on Oct 31).
Rain on November 2:
Considering rain on November 1, 0.9 probability of rain.
Rain on November 3:
Considering rain on November 2, 0.1 probability of rain.
Find the probability of rain on November 1 and 2, but not on November 3.
Multiplicating the probabilities:
[tex]p = (0.9*0.6+0.3*0.4)*0.9*0.1 = 0.0594[/tex]
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
If the triangles are similar which are true
Answer:
b
Step-by-step explanation:
I’ll give brainliest
OPTION A
y= 3x+6
This equation satisfies for all the value given in the table.
For (0,6)
y = 3(0)+6 = 6
For (2,12)
y=3(2) +6 = 6+6= 12
And so on.
Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?
Solve the problem 35×2/7=
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
What is the distance of -55 from zero?
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
Can y’all help me on question 22?!
Answer:
245 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is length times width times height.
So in this case we would do, 8 * 2.5 * 12.25 to get 245. So your answer would be 245 cubic inches.
*side note*: 2 1/2 is the same thing as 2.5 and 12 1/4 is the same thing as 12.25
Answer the questions about the following polynomial.
-10x +1
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
What is the total distance that two people travel in 2 h if one of them is riding a bike at 20 mi/h and the other is walking at 3 mi/h?
Answer:
46 miles
Step-by-step explanation:
First, find the distance traveled by the person riding at 20 mph.
Multiply 20 by 2:
20(2)
= 40 miles
Find the distance traveled by the person riding at 3 mph.
Multiply 3 by 2:
3(2)
= 6 miles
Add these distances together:
40 + 6
= 46
So, the total distance is 46 miles
Answer:
46 miles
Step-by-step explanation:
Assuming both travel at a constant rate of miles per hour.
Time allowed: 2 hours.
Biker: 20 miles/hr, or (20 x 2) miles/ (2 x 1) hrs. = 40 miles/ 2 hours
Walker: 3 miles/hr or (3 x 2) miles/(2 x 1) hrs. = 6 miles/2 hours.
You are finding the total distance traveled together, and so add the two miles together:
40 + 6 = 46
46 miles in 2 hours is your answer.
~
Jessica earned $16 mowing a neighbor’s yard. She bought a craft kit for $7.37.
She used $3.75 to buy food for a food drive. She put the rest in her savings account.
How much money did Jessica put in her savings account?
Answer:
Jessica put $4.88 into her savings account.
Step-by-step explanation:
First, you'll add up how kuch she has spent.
7.37 + 3.75 = 11.12
Secondly, you'll subtract 11.12 from 16.
16 - 11.12 = 4.88
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used.
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
Answer:
(xou)2
Step-by-step explanation:
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
If the dimensions of a room is 20m long, 8m wide
and 5m high. Find the volume of air contained on room.
Answer:
The volume of air contained on room is 800m^2
Step-by-step explanation:
20x8x5=800m^2
How can I describe an angle's measure?
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answer:
0 and 1
Step-by-step explanation:
The solutions are the points of intersection, meaning that the x values must meet at those points. x=0 and x=1 meet at those points of intersection.
5a. A salad bar has five kinds of salad. In how many different ways can you choose two different salads from five?
5b. Which has more different ways :
Choosing two out of five OR
choosing three our of five?
Answer:
a) 10 salads
b) 5 Choose 2 and 5 Choose 3 result in the same amount
Step-by-step explanation:
a) ₅C₂ = 5! / (5-2)! 2!
= 5! / 3! 2!
= (5 × 4) / 2
= 10 salads
b) ₅C₃ = 5! / (5-3)! 3!
= 5! / 2! 3!
= (5 × 4) / 2
= 10
Write an equation of the line with a slope of 2/3
and -8
Solve 8 = 2x + 4.
Helppppppp
Answer:
x = -1
Step-by-step explanation:
8 = 2^(x + 4)
Rewriting 8 as 2^3
2^3 = 2^(x + 4)
Since the bases are the same, the exponents must be the same
3 = x+4
Subtract 4 from each side
3-4 =x+4-4
-1 =x
Answer:
This is the answer :
x=–1
Choose (B)
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x
Suppose that there is a positive correlation between the variables k and I. If I
is 75 when k is 7, which of these is most likely to be the value of I when k is
14.
O A. 75
O B. 25
C. 50
D. 150
Answer:
150
Step-by-step explanation:
if there is a positive correlation
when k increases l should also increase
only 150 is an increase in l