Running the last lap of a 4 x 100-meter relay, Bob takes the baton for his team and pursues his opponent already 20 meters ahead of him. If Bob runs at an average speed of 8 meters per second and his opponent only runs 6 meters per second, will Bob overtake him and win the race? If he does not catch him, how close does he get before the opponent crosses the finish line? If he does catch him, how many seconds and how many meters will it take?
Answer:
v1 t = distance Bob travels
v2 t + 20 = distance opponent travels
v1 t = v2 t + 20
t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec
In 10 sec Bob runs 80 m
In 10 sec opponent runs 20 + 60 m = 80 m
What is the answer to this question?
Answer:
I dont know
Step-by-step explanation:
im trying to get brainly points lol
start time 7:30 elapsed time 2 hours 20 minutes end time is
Can anyone help me, please?
Answer:
So first plot the points then move it the way ( x-3, y-4)
remember for the x axis you slide left to right and we know that left is negative so you would go left 3 times and for y you would go down 4 times do it for each point.
11. The product of 4.8 and 0.4 is 19.2
A) True
B) False
Answer:
false it's product is 1.92
On a standardized exam, the scores are normally distributed with a mean of 200 and
a standard deviation of 50. Find the Z-score of a person who scored 140 on the exam.
Answer:
First, compute the z-score:
z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5
Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/). The percentile, p(z=1.5), is the percent of people who scored 650 or less. The percent who scored more than 650 is 1-p(z=1.5). Multiply that by the 1200 students to get the number who scored more than 650. Round to the nearest whole number (because you can't have a fraction of a person).
For the given data the value of the z score will be 1.5
What is the standard deviation?It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ stands for the standard deviation
x is the value from the data set
X is the data set mean
n is the number of observations
It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.
The Z-score of a person who scored 140 on the exam is as,
z = (x-μ)/σ
z = (650-500)/100
z = 150/100
z = 1.5
Thus, the value of the z score will be 1.5
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Pls help me if I cabbnnnnsbdhdhdjdjxjkxx
Answer:
33.49 mm³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {2}^{3} [/tex]
[tex] = \frac{100.48}{3} [/tex]
[tex] = 33.4933333...[/tex]
= 33.49 mm³ (rounded to the nearest hundredth)
The Center for the Study of Violence wants to determine whether a conflict-resolution program in a particular high school alters aggressive behavior among its students. For 5 students, aggression was measured both before and after they participated in the conflict-resolution course. Their scores were the following (higher scores indicate greater aggressiveness).
Before Participating After Participating
10 8
3 3
4 1
8 5
8 7
Required:
a. What is the test statistic
b. What are the degrees of freedom
c. Do you reject the null (at alpha = 0.05)
d. What do your results indicate
Answer:
A.) 3.096 ; b.) 4 ; C). We reject the Null
D.) There is significant evidence to support the claim that conflict resolution program reduces level of aggression in STUDENTS.
Step-by-step explanation:
This is a paired test:
Given the data:
Before (x) __ After (y) __ difference (x - y)
10 ______ 8 ______ 2
3 _______ 3 ______ 0
4 _______ 1 _______3
8 _______ 5 ______ 3
8 _______ 7 ______ 1
H0 : μx = μy
H1: μx > μy
dbar = Σd / n ; n = sample size
dbar = 9 / 5 = 1.8
From calculator :
Standard deviation of d, Sd = 1.30
Test statistic = dbar ÷ (Sd / √n)
Test statistic = 1.8 ÷0.5813776
Test statistic = 3.096
Pvalue from test statistic :
df = n - 1 = 5 - 1 = 4
Pvalue, 0.05, 4 = 0.018
Since Pvalue < α ; We reject the Null
We conclude that, there is significant evidence to support the claim that conflict resolution program reduces level of aggression in students.
a light bulb consumes 960 watt- hours per day. How many watt-hours does it consume in 5 days and 12 hours?
What is the median?
2, 2, 1, 3, 5, 10, 2, 5
Answer:
The Miriam is 1,2,2,2,3,5,5,10
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
arrange the numbers in assending order.
What is the theoretical probability that the spinner below will land on 6 if someone spins it 48 times?
Answer:
1/4 or 12*
Step-by-step explanation:
There are 8 possibilities. 2 of them are 6.
2/8=1/4
1/4 of 48 is 12
*The theoretical probability doesn’t change no matter how many times you spin the spinner. It will always be 1/4. (Or 0.25, or 25%). That could be what they’re asking. If you spun it 48 times, it would probably land on a six 12 times. That could also be what they’re asking for. 12:48 = 1:4.
Marissa says that lines a and D will eventually intersect. Is she correct? Explain.
What’s is this answerrr
Answer:no, The lines are skew
Step-by-step explanation:
I took the test
Which expressions are equivalent to 3 1/4 - (- 5/8)?
Answer:
3.875
Step-by-step explanation:
On your first draw, what is the probability of drawing a red card, without looking, from a shuffled deck containing 6 red cards, 6 blue cards, and 8 black cards?
i need help !ASAP!
(screenshot below)
FIRST TO ANSWER GETS BRALYIST
good luck :-)
Answer:
My answer is 20ft I'm not really sure but hope this helps
PLEASE HELP I WILL GIVE BRAINLIEST! Mason already has 11 plants in his backyard, and he can also grow 1 plant with every seed
packet he uses. How many seed packets does Mason need to have a total of 20 plants in his
backyard?
Mason needs 9 more seed packets to have a total of 20 plants in his yard.
Simplified:
20-11=9
At football practice, James had to sprint 40 yards along the field. He did this sprint 22 times.
What distance did he run, in miles?
Answer:
0.5 miles.
Step-by-step explanation:
Remark
I'm going to assume that the total number of sprints was 22. If he sprinted back then there and back counts as 2 sprints.
Formula
Total distance = 22 * 40
Solution
Total distance = 880 yards.
There are 1760 yards in a mile.
The number of miles he ran was 880/1760 = 1/2 mile or 0.5 miles.
Ssomeone help me in this one now please
86.4 is what percent of 144?
Answer:
60%
Step-by-step explanation:
86.4 divided by 144 is 0.60 which is 60%
Answer:
60%
Step-by-step explanation:
divide 86.4 by 144 which will give you 0.60
Zach puts $1000 in a savings account earning 5% simple interest for five years how much interest has he earned at the end of the five years
Answer:
$250
Step-by-step explanation:
The formula for simple interest is I = PRT, where I= interest earned or paid, P = principal deposited or borrowed, R = interest rate as a decimal, and T = time in years.
I = PRT
I = (1000)(0.05)(5)
I = 250
Sally's bank account had a balance of 230 at the beginning of the month. She had two deposits of 50 and 420 and just one withdrawal of 190. Her balance at the end of the month was $______ ?
Answer:
510
Step-by-step explanation:
Sally bank account had a beginning balance of 230
She made two deposits of 50 and 420
50+420
= 470
She made a withdrawal of 190
Therefore her balance at the end of the month can be calculated as follows
470+230
= 700
= 700-190
= 510
Hence the balance at the end of the month is 510
Helppppp! What is the value of 5^3i^9
Answer:
125i.
Step-by-step explanation:
5^3 is 125 i^2 is -1 so i^8 is positive and you have 1 i left.
Drag and drop each area on top of the triangle it matches. i already did the 4 that have the answers on them qith the teacher. PLS HELP!!
Answer:
Step-by-step explanation:
Which is greater, -11 or -9 ?
Answer:
-9
Step-by-step explanation:for sure
Answer:
-9
Step-by-step explanation:
Look at a number line:
<----+------+------+------+------+------+------+------+------+------+------+------+------+------+-->
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
On a number line, a number to the right is always greater than a number to its left. Just like 1 is greater than 0, -9 is greater than -11.
-9 > -11
Answer: -9
please help me. Will mark u brainlyist.... Please don't put a randome answer if u don't know.
Answer:
105
Step-by-step explanation:
< 7 is also 105- they are alternate exterior angles
what are the missing numbers?
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
[tex]10=a(b)^1[/tex] ...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
[tex]20=a(b)^2[/tex] ...(iii)
Dividing (iii) by (ii), we get
[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]
[tex]2=b[/tex]
Putting [tex]b=2[/tex] in (ii), we get
[tex]10=a(2)^1[/tex]
[tex]\dfrac{10}{2}=a[/tex]
[tex]5=a[/tex]
Putting [tex]a=5,b=2[/tex] in (i), we get
[tex]y=5(2)^x[/tex]
The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
How would you find the surface area of the figure represented by the given net? (Note: The area of each circular base is the same.) Add 1,105.28 + 200.96 + 22. Multiply (22)(200.96). Add 1,105.28 + 200.96 + 200.96. Multiply (1,105.28)(200.96).
Answer:
Option 3: "Add 1,105.28 + 200.96 + 200.96"
Step-by-step explanation:
Just follow the rule: add each area of the net. Ignore the 22 mm because that does not represent the area. Got this question right in an assignment.
Mark Brainliest pls!
You can find the surface area by Adding 1,105.28 + 200.96 + 200.96.
What is surface area?
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area will be calculated as:-
SA = 1,105.28 + 200.96 + 200.96.
SA = 1507.2
Therefore the surface area by Adding 1,105.28 + 200.96 + 200.96.
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Brandon's car used 3/4 of a gallon to travel 13 1/2 miles. How many miles can the car go
on one gallon of gas?
Answer:
12
Step-by-step explanation:
Brandon's car can go in one gallon gas= 18 miles
Step-by-step explanation:Definition of gallonIn the United States, the gallon is a unit of measurement for liquids such as gasoline, water, and milk. If your car's tank is nearly empty, you should stop and purchase at least a few additional gallons of gas. A gallon of liquid is equal to 4 quarts or 3.785 liters.
Brandon's car used 3/4 of a gallon to travel 13 1/2 miles.
3/4 of a gallon(G)= 13 1/2 miles
3/4*G=27/2
G=18 miles
Hence, Brandon's car can go in one gallon gas= 18 miles.
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A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 0.75 centimeters.
What is the volume of the laser pointer?
Express your answer in terms of π and round to the nearest cubic centimeter. PLS HELP NOOO LINKS pls <3
Answer:
V = 23 cm 3
Step-by-step explanation: