Answers
Answer:
160 meters
Step-by-step explanation:
Before I begin, note that distance = rate * time (or d = r * t)
To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)
So, let's set the time that Janiyah takes as x (in seconds). So, he covers
d = r * t, or 8x meters
Then, Connor's equation would be
d = r * t
d = 5x + 60 (because he got a 60 meter headstart)
Because d is the same in both equations, to solve for the amount of time they run:
8x = 5x + 60
Subtract 5x from both sides.
3x = 60
x = 20
Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x
8x = 8 * 20 = 160
So, Janiyah ran 160 meters.
Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so
5x + 60 = 160
5 * 20 + 60 = 160
100 + 60 = 160
160 = 160
True.
So, the answers are correct.
I hope this helps! Feel free to ask any questions!
Answer: 160 meters
Step-by-step explanation:
Related Questions
In ΔIJK, k = 7.6 cm, j = 7.5 cm and ∠J=116°. Find all possible values of ∠K, to the nearest 10th of a degree.
Answers
Answer:
No Possible Triangles
Step-by-step explanation:
Deltamath
a consumer is constrained by
Answers
Answer:
things and quality
Step-by-step explanation:
things and quality
When bivariate data from a survey is graphed what is graph called ?
Answers
Answer:
D
Step-by-step explanation:
Scatter plot (Use excel with any bivariate data you can find)
During the fall you charge $10 to go to a house and rake the leaves and an additional eight dollars for every hour that you rake the yard if you earned $42 how many hours did you spend raking the leaves
Answers
Answer:
4
Step-by-step explanation:
set up an equation:
let h be the number of hours you spent raking.
then, the cost would be 10 + 8 times the number of hours.
In equation form:
[tex]10 + 8h = 42[/tex]
solve:
[tex]10 + 8h = 42\\8h = 32\\h = 4[/tex]
So you worked for 4 hours
Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Answers
Answer:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
[tex]i^2 = -1[/tex]
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]
Output of 40 when x=1
This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So
[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]
[tex]40 = a(20)(2)[/tex]
[tex]40a = 40[/tex]
[tex]a = 1[/tex]
The polynomial is:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
slove this plzzz plzzz
Answers
Answer:
an equilateral triangle have equal angles and equal sides.
so, side x and side bc are 12.
Answer:
It's going to be 12, so is the other size.
Step-by-step explanation:
You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D
ce este un numar rational?
Answers
Answer:
ratio
Step-by-step explanation:
(8x+1/2x) raise to a power of 8
Answers
This is the answer hope this helps
can someone please help me i cant fail this
Answers
y = 700(1.05)^x,
plug in x=2
700(1.05)^2
= 700(1.05 times 1.05)
= 700(1.1025)
= 771.75
700x(1.05)^2=771.75
Solve for x in terms of h.
10x + 20h = -4(-3x - 8h)
Answers
Answer:
x= -6h
Step-by-step explanation:
opening up the bracket
10x+20h=12x+32h
10x-12x=32h-20h
-2x=12h
x=-6h
Answer:
x=-6h
Step-by-step explanation:
Isolate the variable by diviiding each side by factors that don't contain the variable. Hopefully this is helpful :)
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let denote the number among the four who have earthquake insurance.
1. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and one who does not. Then one possible outcome is SFSS, with probability (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes].
2. What is the most likely value for X?
3. What is the probability that at least two of the four selected have earthquake insurance?
Answers
Missing part of the question
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% of all homeowners.....................
Answer:
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
[tex]Mean = 1[/tex]
[tex]Pr = 0.2617[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex]
[tex]p = 25\%[/tex]
Solving (a): The probability distribution of x
We have:
[tex]n = 4[/tex]
[tex]p = 25\%[/tex] [tex]= 0.25[/tex]
The probability of not having earthquake insurance (q) is:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.25[/tex] [tex]= 0.75[/tex]
If x has insurance, then n - x do not.
The distribution follows a binomial pattern. So, the probability distribution is:
[tex]P(X = x) = ^nC_x * 0.25^x * 0.75^{n-x}[/tex]
Substitute 4 for n
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
Solving (b): The most likely value of x i.e. The mean
We have:
[tex]n = 4[/tex] and
[tex]p = 25\%[/tex] [tex]= 0.25[/tex]
[tex]Mean = np[/tex]
[tex]Mean = 4 * 0.25[/tex]
[tex]Mean = 1[/tex]
Solving (c): At least 2 of 4 selected have earthquake insurance.
This is calculated as
[tex]Pr = P(x = 2) + P(x = 3) + P(x = 4)[/tex]
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
[tex]P(X=2) = ^4C_2 * 0.25^2 * 0.75^{4-2}[/tex]
[tex]P(X=2) = 6 * 0.25^2 * 0.75^2 = 0.2109375[/tex]
[tex]P(X=3) = ^4C_3 * 0.25^3 * 0.75^{4-3}[/tex]
[tex]P(X=3) = 4 * 0.25^3 * 0.75 = 0.046875[/tex]
[tex]P(X=4) = ^4C_4 * 0.25^4 * 0.75^{4-4}[/tex]
[tex]P(X=4) = 1 * 0.25^4 * 1= 0.00390625[/tex]
So:
[tex]Pr = P(x = 2) + P(x = 3) + P(x = 4)[/tex]
[tex]Pr = 0.2109375 + 0.046875 + 0.00390625[/tex]
[tex]Pr = 0.26171875[/tex]
[tex]Pr = 0.2617[/tex] --- approximated
I'm lost on this please help
Answers
Answer:
Y=1/4x+33/4
Step-by-step explanation:
Y=1/4x+b
9=1/4(3)+b
9=3/4+b
8.25=33/4=b
Y=1/4x+33/4
A scuba diver is at an elevation of 53 feet below sea level. A hiker is at an elevation of 228 feet above sea level. What is the difference in elevation between the scuba diver and the hiker?
Answers
Answer:
281 feet
Step-by-step explanation:
Look at the figure. Which point is coplanar with points B, C, and H?
PLEASE HELP ASAP!!
Answers
Answer: G
Step-by-step explanation:
Its g because its on the same side of the cube
Answer: G
Step-by-step explanation:
20. Find the mean, median, and mode for the following
data set:
83 98 22 89 99 98
Answers
median: 22 + 89 / 2 = 55.5
mode: 98
Answer:
GOT U
Step-by-step explanation:
Mean = 81.5
Median =93.5
Mode = 98
Find the value of xx in the equation below
X - 15.4 = 19.1
Answers
Answer:
x = 34.5
Step-by-step explanation:
x - 15.4 = 19.1
Add 15.4 to both sides.
x - 15.4 + 15.4 = 19.1 + 15.4
x = 34.5
Answer:
x equals -3
Hope this helps :)
Step-by-step explanation:
k= y/x (3x-1)-2.75(x+2)
Answers
Answer:
k=
−2.75x2+3xy−5.5x−y/x
Step-by-step explanation:
Hi! so i see you need help with this problem let me help you and guide you through the steps :]
Let's solve for k.
k= y/x
(3x−1)−2.75(x+2)
Step 1: Multiply both sides by x.
kx=−2.75x2+3xy−5.5x−y
Step 2: Divide both sides by x.
kx/x
=
−2.75x2+3xy−5.5x−y/x
k=
−2.75x2+3xy−5.5x−y/x
Answer:
k=
−2.75x2+3xy−5.5x−y/x
can someone help please?;)
Answers
Answer:
56.137 Square Unit
Step-by-step explanation:
Rectangle: 7x6=42
1/2 Circle: 1/2x3x3x[tex]\pi[/tex]=14.137
42+14.137=56.137
The number of nails in a 5 lb box is normally distributed with a mean of 325 nails and a standard deviation of 15 nails
Suppose that 1200 different 5 lb boxes are in a warehouse.
About how many boxes contain more than 340 nails?
O 170
O 192
O 340
O 384
Answers
Answer: 192.. just took the test :)
Step-by-step explanation:
The number of boxes contains more than 340 nails will be 190. Option B is correct.
What is Z score?The number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured is known as the Z score.
Z score for the 340 nails is found as;
[tex]\rm Z-score= \frac{340-325}{15} \\\\ Z-score=1[/tex]
If the probability of the z score is grater than 1 is;
P(Z≥1)=1-P(Z≤1)
P(Z≥1)=1-0.8413
P(Z≥1)=0.1587
For the 1200 boxes with more than the 340 nails is 192.
Hence,option B is correct.
Learn more about z-score refer:
https://brainly.com/question/21262765
#SPJ2
The Apple, Inc. sales manager for the Chicago West Suburban region is disturbed about the large number of complaints her office is receiving about defective ipods. New Apple CEO Tim Cook is also very displeased and wants the situation remedied as soon as possible. The sales manager examines this Excel file ipod Weekly Complaints, which shows the number of complaints concerning defective ipods received by her office for each of the immediately preceding 52 weeks.
Required:
What is the probability that between 77 and 120 complaints are received in one week?
Answers
Answer:
0.6856
Step-by-step explanation:
[tex]\text{The missing part of the question states that we should Note: that N(108,20) model to } \\ \\ \text{ } \text{approximate the distribution of weekly complaints).]}[/tex]
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution ([tex]\mu =[/tex]108, [tex]\sigma[/tex] = 20)
Using Z scores:
[tex]Z = \dfrac{77-108}{20} \\\\ Z = -\dfrac{35}{20} \\ \\ Z -1.75[/tex]
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
[tex]Z = \dfrac{120-108}{20} \\ \\ Z = \dfrac{12}{20}\\ \\ Z = 0.6[/tex]
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
giving brainliest !! *easy*
Answers
Answer:
31.4
Step-by-step explanation:
Simplify the expression below. A. 83 B. 812 C. 84 D. 88
Answers
Answer:
there is no expression
Step-by-step explanation:
Researchers wanted to know if people, on average, tend to underestimate the duration of a typical cold. Clinical literature reports that the actual duration of a typical cold is roughly 15 days. The researchers surveyed a random sample of 352 healthy adults and asked them how long they think that a typical cold lasts. The results of this survey were that the average time that the 352 people thought a cold lasts was two weeks (14 days) with a standard deviation of 0.5 days. So, according to this survey, do people tend to underestimate the duration of a cold (with statistical significance)?
Answers
Answer:
No, the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold. .
Step-by-step explanation:
We are given;
Population mean; μ = 15
Sample mean; x¯ = 14
Standard deviation; s = 0.5
Sample size; n = 352
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ < 15
Let's find the z-value;
z = (x¯ - μ)/(s/√n)
z = (14 - 15)/(0.5/√352)
z = -1/0.02665
z = -37.5
From online p-value from z-score calculator attached using z = -37.5; significance level of 0.05; one tailed hypothesis, we have;
p-value = 0.00001
But since we want to find out if they underestimate the duration of the cold then;
P(z > 0.00001) = 1 - 0.00001 = 0.99999
Which is approximately 1.
The p-value is greater than the significance level, therefore we fail to reject the null hypothesis and conclude that the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold.
Which statement is true?
The number √22 is irrational because the decimal expansion does not repeat and does not terminate.
The number √22 is irrational because the decimal expansion repeats or terminates.
The number √22 is rational because the decimal expansion does not repeat and does not terminate.
The number √22 is rational because the decimal expansion repeats or terminates.
Answers
A
Step-by-step explanation:
just listen to me because i know your doing benchmark just like me
CAN SOMEONE HELP ME PLZZZ
Answers
Answer:2440
Step-by-step explanation:
Does anyone the answer to that? if so please ANSWER FAST THANK YOU!!
Answers
Complete the statement. Round to the nearest hundredth if necessary. 48 ft =_____yd
Answers
Answer: 16
Step-by-step explanation:
there are 3 feet in one yard so divided 48 by 3 and you get 16
Answer:
16
Step-by-step explanation:
if a football team played 160 matches and won 65 percent of them,how many matches did it win
Answers
Answer:
65 x 160 / 100 = 104
Step-by-step explanation:
A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] … The positive whole number N, when multiplied by 150, is a perfect square.
Answers
Answer:
6
Step-by-step explanation:
The computation of the least possible whole number is shown below:
Here we need the factors of 150 i.e.
= 3 × 5 × 2 × 5
Here we can add to one box and the 5 to the other box
And, now if we can add 3 to one box and in the other we can add 2 so they cant be equal to each other
Now lets try 5 × 6 and 5
So, here The perfect square is 900
= 30 × 30
= 900
Hence, the number would be 6
The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer
Answers
Answer:
more information
Step-by-step explanation: