Answer:
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
Step-by-step explanation:
The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.
Sample:
45 clients.
Of those, 21 expected to go on 3 vacations in the next year.
21/45 = 0.4667
Out of the 516 clients:
0.4667*516 = 240.8
Rounding up
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid only 13 dollars, how many dollars was the discount.
Answer: 4
Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.
A car drives at a speed of 90 km/h for 2 hours and 20 minutes.
How far does the car drive?
Answer:
210 KM
Step-by-step explanation:
first 20minutes is 1/3 of an hour
20/60=1/3 hour
how far does the car drive =time *speed
=2 1/3 hour *90= 210 km
i wiil be happy if you mark me as brainliest
rationalize the denominator of 5√3+3√5 ÷ 5√3+3√5
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }[/tex]
[tex]=1[/tex]
Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:
Answer:
90°
Step-by-step explanation:
because from south to east is half of north which makes it 90°
Extra point hereWhich metric unit would be best to measure the diameter of a pencil?
Answer:
The millimeter.
Step-by-step explanation:
The best choice here is the millimeter (mm).
Find the area of the shape shown below.
24
25
8
units?
HELP
Answer:
hope this is correct
Answer:
108
Step-by-step explanation:
The following are the ages (years) of 5 people in a room: 23, 15, 17,23, 23 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?
13 years
Step-by-step explanation:
17 + 15 + 23 + 23 + 23 =101 / 5 = 20.2
Mean before was 20.2
In order for the mean to be 19, all those numbers would have to add up 114 to be divided by 6 and have a mean of 19
114 / 6 = 19
114-101 = 13 is that number
17 + 15 + 23 + 23 + 23 + 13 = 114 / 6 = 19
A farmer finds that if she plants 25 trees per acre, each tree will yield 41 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 1 bushel. How many trees should she plant per acre to maximize her harvest?
Answer:
17
Step-by-step explanation:
Let F be the number of fruit per acre
F = (25 + x) × (41 - x)
F=1025 -25x + 41x -x²
F=-x²+16x+1025
The maximum yield is at the maximum of that expression, which is at
[tex]x=-\frac{b}{2a} =>-\frac{16}{-2\times1}[/tex]
x=8
So apparently she currently has far too many trees per acre. To get the maximum yield, she needs to reduce the number of trees per acre by 8.
So the number of trees per acre for maximum yield is 25-8 = 17.
−12 − (−25) + 8
plzz helpp im not sure is it 21??
Answer:
21
Step-by-step explanation:
−12 − (−25) + 8
Subtracting a negative is like adding
-12 +25+8
First do -12 +25 25-12 = 13 Replace in the equation
13+8
21
Answer:
Yes, the answer is
[tex]21[/tex]
Step-by-step explanation:
we know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
Now let's solve the problem,
[tex] - 12 - ( - 25) + 8 \\ - 12 + 25 + 8 \\ = 21[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Given the function ƒ(x) = 8x^2 − 14x − 10, find ƒ(−2). A) ƒ(−2) = 50 B) ƒ(−2) = 60 C) ƒ(−2) = −6 D) ƒ(−2) = −70
Answer:
50
Step-by-step explanation:
f(x) = 8x² - 14x - 10
f(-2) = 8(-2)² - 14(-2) -10
f(-2) 8*4 + 28 - 10
f(-2) = 32 + 28 - 10 = 50
What is the name of this shape?
Please help!
Answer:
It is an isosceles triangle
Step-by-step explanation:
because there are 2 straight lines
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.2601
Step-by-step explanation:
There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.
There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.
So, the probability of interest is ...
252/969 ≈ 0.2601
_____
nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n
Suppose the manager of a restaurant in a commercial building has determined that the proportion of customers who drink tea is 24%. Based on a random sample of 300 customers, what is the standard error for the sampling distribution of the sample proportion of tea drinkers?
Answer:
0.427
Step-by-step explanation:
Standard error for the sampling distribution refers to the standard deviation of the samples taken from a population. The standard error equals the standard deviation divided by the square root of the sample size
The probability of customers who drink tea (p) = 24% = 0.24, the sample size of customers (n) = 300.
Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] where σ is the standard deviation.
[tex]\sigma=\sqrt{np(1-p)}[/tex]
Standard error = [tex]\frac{\sigma}{\sqrt{n} }= \frac{\sqrt{np(1-p)} }{\sqrt{n} } =\sqrt{\frac{np(1-p)}{n} } =\sqrt{p(1-p)}=\sqrt{0.24(1-0.24)} =0.427[/tex]
Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?
Answer:
180 that boy is soo wrong
Step-by-step explanation:
Write down the order of rotational symmetry of the shape.
Answer:
the order of rotational symmetry of the shape is 2
Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle
Identities.
Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
Simplify C^5 x c
Plz can someone figure it out cuz I don’t get it
Answer:
c^6
Step-by-step explanation:
So, c is the same as c^ 1 ... therefore
c^5 x c
= c^5 x c^1
When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1
So c^5 x c^1
= c^(5+1)
= c^6
This is the simplest form
Answer: c⁶
Step-by-step explanation:
Notes: A variable without a given exponent has an "invisible" exponent of 1.
When multiplying two values with the same base, add the exponents.
[tex]\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}[/tex]
5x 2 + 15x=0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
A student gets 9 out of 15 problems correct on a homework assignment. What percent of the assignment did the student get incorrect? Enter your answer in the box.
Answer:
If he got 9 out of 15 correct, he got 6 problems incorrect.
6/15 is incorrect
6/15 × 100
40 % is your answer
Answer:
40% are incorrect
Step-by-step explanation:
If 9 are correct then 15-9 = 6
6 are incorrect
6/15 = 2/5
Change to a percent
2/5 *20/20 = 40/100
Percent means out of 100
40% are incorrect
You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?
Select the correct choice below and fill in the answer box to complete your choice
A. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is
(Simplify your answer. Do not include the $ symbol in your answer)
B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist
(Simplify your answer. Do not include the 5 symbol in your answer.)
minutes can be rented for $26
(Round to the nearest minute as needed)
A linear model
reasonable for this situation
Answer:
(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t +8
The time that can be rented for $26 = 1min
Step-by-step explanation:
Based on the information given:
Setup charge on Rent at local copy center = $9
an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.
For every 5min = $150
For 1 min = $150/5
For t min = 150t/5
Where t = number of minutes of rental time
Rental cost = set up charge + additional cost
Let Rental cost = R(t)
R(t) = 9 + 150t/5
Writing it in form of a linear equation: y = mx + c
R(t) = 150t/5 +9
R(t) = (150/5) ×t + 9
R(t) = 30t + 9
The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t + 9
The time that can be rented for $26:
Rental cost = $26
R(t) = 30t +9
26 = 30t +9
26-9 = 30t
17 = 30t
t = 17/30 = 0.57
t is approximately = 1min (nearest minute)
The time that can be rented for $26 = 1min
Help ? What’s the answer ?
Answer:
D. - i
Step-by-step explanation:
i = √( - 1)
i³ = √( - 1)*√( - 1)*√( - 1) = √(-1)² *√(-1) = - 1*i = - i
Find the area of the figure. Use 3.14 for Pi, and round your answer to the nearest tenth. Rectangle capped by a right triangle on one end and a semicircle on the other A rectangle topped by a semicircle and triangle. The rectangle has length 38 feet and width 24 feet. The triangle has side lengths 18 feet and 24 feet. The semicircle has diameter 24 feet. a. 1570.1 sq. ft b. 1354.1 sq. ft c. 1580.2 sq. ft d. None of these
show the relationship between the number of miles and the number of hours in the ratio 12 to 1
Answer:
The person has a speed of 12 miles per hour.
Step-by-step explanation:
The ratio is 12 miles to 1 hour.
This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?
Answer:
D = (13, - 23 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 15 )
To go in the reverse direction, that is image to original, then, reverse the operations in the translation rule.
(x , y ) → (x + 4, y - 15 ) , thus
D'(9, - 8 ) → D(9 + 4, - 8 - 15 ) → D(13, - 23 )
Answer:
(13,-23)
Step-by-step explanation:
DID IT ON EDGE 2020
Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!!
Answer:
g(-4) =1
Step-by-step explanation:
g(-4) we want to find the value of the graph when x = -4
Got over to x=-4
Got up to the blue line
read the value of the y coordinate
y=1
g(-4) =1
Which function below represents exponential decay? ƒ( x) = 2(1.3) x ƒ( x) = 0.5(2) x ƒ( x) = (-3) x ƒ( x) = 4(0.25) x
Answer:
f(x) = 4 (0.25)ˣ
Step-by-step explanation:
If the growth factor is between 0 and 1, the function is exponential decay.
If the growth factor is greater than 1, the function is exponential growth.
Helppp pleaseeeee The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object? Explain your answer.
Answer:
Total volume = (145/3)π in³
Step-by-step explanation:
First find the volume of the entire cylinder. The correct formula to use here is:
V = πr²h, where r is the radius and h is the height. Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is
V = π(2.5 in)²(8 in) = 50π in³
Next find the volume of the conical shape: V = (1/3)π(2.5 in)²(0.8 in)
The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:
π(2.5 in)²(8 in) = 50π in³ LESS (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:
Total volume =
50 π in³ - (1/3)π(2.5 in)²(0.8 in), or
(2.5 in)²π[8 in - 0.8/3 in] = π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or
Total volume = (145/3)π in³
Find the 11th term from the end of the A.P 10,7,4.... -62.
Term 11=a+10d
Here
a=10
d= 7-10= -3
Term 11;
=10+(10×-3)
=10+(-30)
= -20 is the answer
Thank you Hope it helps dear
Answer: -32
Step-by-step explanation:
a=10, d = 7-10 = -3
First find which term is -62
an = -62
a = (n-1) d= -62
Putting values
10 + (n-1)(-3) = -62
10 + (n(-3) -1 (-3) = -62
10 - 3n + 3 = -62
13 - 3n = -62
-3n = -62-13
n = 75/3 = 25
We need to find out 11th term from the last term ie., 25 - 10 = 15th term
So we need to find a14
an = a +(n-1) d
a15 = 10+ (15-1) (-3)
= 10 + 14 (-3)
= 10 -42
= -32
So the 11th term from the 15th term from the first = -32
3(a-2/3)= 3/4a+2 1/4
Steps:
Step 1: Simplify both sides of the equation.
3(a−2/3)=3/4a+21/4
(3)(a)+(3)(−2/3)=3/4a+21/4(Distribute)
3a+−2=34a+2143a−2=3/4a+21/4
3a+−2=34a+2143a−2=3/4a+21/4
Step 2: Subtract 3/4a from both sides.
3a−2−3/4a=3/4a+21/4−3/4a
9/4a−2=21/4
Step 3: Add 2 to both sides.
9/4a−2+2=21/4+2
9/4a=29/4
Step 4: Multiply both sides by 4/9.
(4/9)*(9/4a)=(4/9)*(29/4)
Answer:
A=29/9
Please mark me brainliest
Hope this helps.
Nathaniel writes the general form of the equation gm = cm + rg for when the equation is solved for m. He uses the general form to solve the equation –3m = 4m – 15 for m. Which expression shows what Nathaniel will actually evaluate? A. 4 + 15 – 3 B.4 – 15 + 3 C.-15/-3-4 D.–15 – -3/4
Answer:
c
Step-by-step explanation:
gm=cm+rg
gm-cm=rg
m(g-c)/g-c = rg/g-c
m=r g/g-c
-3m=4m-15
-3m-4m=-15
-7m=-15
-15/-7m
= -2.14
-15/-3-4= 2.14
Answer:
The answer is C. I just got it right
Step-by-step explanation:
