Answer:
The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
Step-by-step explanation:
Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:
4 x 1.5 + 6 x 0 = 6
4 x 1 + 6 x 0.5 = 7
4 x 0.75 + 6 x 0.75 = 7.5
4 x 0.5 + 6 x 1 = 8
Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.4 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.22 psi and 0.24 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.
Answer:
H0 : u ≥ 10 against the claim Ha: u < 10
Step-by-step explanation:
The mean breaking strength of a ceramic insulator must be at least 10 psi.
(At least means greater or equal to ). As it is already given in the data the null and alternate hypotheses will be formulated according to it.
H0 : u ≥ 10 against the claim Ha: u < 10
The null hypothesis is the mean breaking strength of a ceramic insulator must be at least 10 psi
and the alternate hypothesis is
the mean breaking strength of a ceramic insulator is less than 10 psi
Help please, due soon!
Step-by-step explanation:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
given r = 10 in
h = 30 in
Volume of Cylinder =
[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]
Please take note in this case choose the answer closest to the answer calculated.
Answer:
9,420 in^3
Step-by-step explanation:
V = π r^2 h
V = 3.14 · 10^2 · 30
V = 3.14 · 100 · 30
V = 3.14 · 3,000
V ≈ 9,420
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66
Answer:
66 students prefer the zoo
Step-by-step explanation:
I got it correct :)
Use the distributive property to remove the parentheses
5(x-3)
Answer: 5x-15
Outer numbers multiply with both inside the parentheses.
Which graph shows a line with an x-intercept of (-4, 0) and a slope of −2/5
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lolhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjodskvxhugvgxjchvgkzjgvcgkjzx
at a high school, there are 3,510 students. the ratio of seniors to juniors to sophomores to freshmen is 4:6:5:3. How many students are in each class
Answer:
seniors: 780
juniors: 1170
sophomores: 975
freshmen: 585
Step-by-step explanation:
4 + 6 + 5 + 3 = 18
3510/18 = 195
195(4) = 780
195(6) = 1170
195(5) = 975
195(3) = 585
Destinee bought a tablet for $599 and enrolled in a data plan for $25
per month. The total amount y Destinee has paid towards the tablet after x months is found using an equation in the form y = mx + b.
What is the value of m and b?
A researcher collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed limit was 25mph. The recorded speed of 20 randomly selected vehicles is given below: 2038243927402837293530313219331834213623 Calculate the sample mean, standard deviation, and the median of the above data. (Round to one decimal place
Answer:
[tex]\bar x =29.7[/tex]
[tex]\sigma = 6.81[/tex]
[tex]Median = 30.5[/tex]
Step-by-step explanation:
Given
[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]
[tex]n = 20[/tex]
Solving (a): The sample mean
This is calculated as:
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]
[tex]\bar x =\frac{594}{20}[/tex]
[tex]\bar x =29.7[/tex]
Solving (b): The standard deviation
This is calculated as;
[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]
[tex]\sigma = \sqrt{46.41}[/tex]
[tex]\sigma = 6.81[/tex]
Solving (c): The median
First, sort the data in ascending order
[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]
The position of the median is calculated as:
[tex]Median = \frac{n+1}{2}[/tex]
[tex]Median = \frac{20+1}{2}[/tex]
[tex]Median = \frac{21}{2}[/tex]
[tex]Median = 10.5th[/tex]
The 10.5th item represents the mean of the 10th and 11th item.
So, median is:
[tex]Median = \frac{30+31}{2}[/tex]
[tex]Median = \frac{61}{2}[/tex]
[tex]Median = 30.5[/tex]
Suppose a car uses one gallon of gasoline for
every 20 miles traveled.
1) If a gallon of gasoline costs $2.75, how much will the gasoline cost to
travel 300 miles in the car?
A) $22.00
B) $27.50
C) $32.75
D) $41.25
Answer:
the awnser is D) $41.25.
- What is the common difference of the AP 11,-1,-13, -25, ... ?
Answer:
-12 is the common differences
If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
If a family has four children, determine the probability that exactly two of the
children are girls
Answer:
the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%
Step-by-step explanation:
Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)
Answer:
360 mi^3
Step-by-step explanation:
The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values
solid 1
length = 11 - 4 = 7 mi
base area = length x width = 7 x 4 = 28 mi^2
V = base area x height = 28 x 6 = 168 mi^3
solid 2
base area = 8 x 4 = 32 mi^2
V = 32 x 6 = 192 mi^3
total volume: 168 + 192 = 360 mi^3
The volume of the figure is 360 mi³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a figure where two rectangular boxes are put on top of each other.
Volume of a rectangular prism = L × W × H
Here L is the length, W is the width and H is the height.
The dimensions of the rectangular prism are :
Larger one having L = 11 mi, W = 6 mi and H = 4 mi
Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.
Volume of the figure = volume of larger box + Volume of smaller box
= (11 × 6 × 4) + (4 × 6 × 4)
= 264 + 96
= 360 mi³
Hence the volume of the figure is 360 mi³.
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3 2/6+8 2/9-1 1/2 ?????????
Answer:
10 1/18
Step-by-step explanation:
3 2/6 + 8 2/9 - 1 1/2 = ?
First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.
3 6/18 + 8 4/18 - 1 9/18 = ?
Now, we solve.
3 6/18 + 8 4/18 - 1 9/18 = 10 1/18
what is the average of 301,317,167 and 319
Answer:
150658743
Step-by-step explanation:
(301 317 167+319)÷2=150658743
What is the simple interest rate for a $5,000 investment
that become $5,750 at the end of 2 years?
Answer: the answer is r=7.5%
Step-by-step explanation:
You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown
Now you plug in what you know:
5750=5000(1+2r)
Divide 5000 on both sides
Decimal form: 1.15=1+2r
Subtract -1 on both sides
0.15=2r
And lastly divide by 2 on both sides
0.075=r
BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE
r=0.075*100=7.5%
Which of the following best describes the graph of the logarithmic function
given below?
Answer:
A) Decreasing
Step-by-step explanation:
By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.
Answer:
decreasing
Step-by-step explanation:
A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $8 the average attendance per game has been 20000. When the price dropped to $6, the average attendance rose to 27000. Assume that attendance is linearly related to ticket price.
Find a function that models the per game revenue in terms of the price
p
R
(
p
)
=
What ticket price would maximize revenue? (round to the nearest cent)
9514 1404 393
Answer:
R(p) = -3500p^2 +48000p . . . revenue function
$6.86 . . . price for maximum revenue
Step-by-step explanation:
The 2-point form of the equation for a line can be used to find the attendance function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (27000 -20000)/(6 -8)(x -8) +20000
y = -3500(x -8) +20000
y = 48000 -3500x . . . . y seats sold at price x
The per-game revenue is the product of price and quantity sold. In functional form, this is ...
R(p) = p(48000-3500p)
R(p) = -3500p^2 +48000p . . . per game revenue
__
Revenue is maximized when its derivative is zero.
R'(p) = -7000p +48000
p = 48/7 ≈ 6.86
A ticket price of $6.86 would maximize revenue.
Jeff and Kathy are in a walking race. Kathy is faster and walks 3 meters per second. Jeff walks 2 meter
per second. Jeff gets a 24 meter head start.
At what time are Kathy and Jeff at the same distance in the race
1. 3 seconds
2. 30seconds
3. 36 seconds
4. 24 seconds
Answer:
24 seconds
Step-by-step explanation:
3*24=72
24*2=48
48+24=72
What is the length of AB?
Answer:
AB = 5
Step-by-step explanation:
The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3 times as long, and the side opposite the 90 degree angle will be twice as long.
In this case we just divide 10 by 2
Answer:
5 cm
Step-by-step explanation:
Sin 30° = opposite / hypothenus
= AB / 10cm
AB = sin 30° × 10 cm
= 5 cm
Find the radius of a circle with an area of 1,124 sq feet.
The numbers of licensed drivers in four samples taken from a population of
students are shown in the table below. Which of the following choices is most
likely closest to the percentage of students in the population who are
licensed drivers?
Sample Size Number of Licensed Drivers
25
7
50
12
75
15
100
16
O A. 16%
O B. 20%
ОООО
C. 24%
O D. 28%
Answer:
The answer is 16% I just took the test
Step-by-step explanation:
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl. The baker then uses 52.76 grams of the mixture in a cake. How many grams of the mixture does the baker still have? Enter your answer in the box.
Answer:
9.045 grams
Step-by-step explanation:
You add the 42.68+19.125=61.805
Then take 61.805- 52.76=9.045
The number of grams of mixture that the baker still has is 9.045 grams.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Given that,
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl.
Total grams of flour and sugar = 42.68 + 19.125 = 61.805 grams
So,
Total weight of the mixture = 61.805 grams
The baker then uses 52.76 grams of the mixture in a cake.
Remaining grams of the mixture = 61.805 grams - 52.76 grams
= 9.045 grams
Hence the remaining mixture is 9.045 grams.
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Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answer:
(2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 5y = 9 → (1)
3x + 4y = 2 → (2)
Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term
8x - 20y = 36 → (3)
15x + 20y = 10 → (4)
Add (3) and (4) term by term to eliminate y
23x + 0 = 46
23x = 46 ( divide both sides by 23 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
3(2) + 4y = 2
6 + 4y = 2 ( subtract 6 from both sides )
4y = - 4 ( divide both sides by 4 )
y = - 1
solution is (2, - 1 )
Hellpppp me please this test is my whole life and if I don’t pass I’m ruined for life so please HELPPPP MEEEEE
Answer:
expanded form: 5 * 5 * 5
value: 125
Step-by-step explanation:
PLZ HELP DUE IN 45 MIN
If angle ABD is 125° and angle BAC is 40° what is the angle measurement of BCA?
Answer: C. 85
Step-by-step explanation: subtract 125 from 40
PLEASE HURRY
A public radio station raised 25% more during this year's fund-
raiser than it raised last year. If p represents the amount raised
by last year's fund-raiser, which expression represents the
amount raised this year?
Answer:
1.25p
Step-by-step explanation:
p = amount raised last year
amount raised this year = p +(25% of p)
=1 p+0.25p
=p(1+0.25)
=1.25p
Answer this please I’ll give brainalist + points, please help!
Answer:
The answer is C because the largest mode is the longest set with the biggest numbers
Step-by-step explanation:
A ship left at the port at 9:00 p.m. and arrived at the next port at 5:00 a.m.
the next day. The distance between the 2 ports was 200 km.
Find the average
speed of the ship.
show solution
Answer:
25km/h
Step-by-step explanation:
It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.
The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.
17 - 9 = 8
We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.
8/x = 1
x = 8
200/8 = 25
Your answer is 25km/hr