Answer:
x = 5
Step-by-step explanation:
comment if you need explanation
Answer:
Step-by-step explanation:
It just so happens that x is the hypotenuse in the right triangle with sides 3 and 4. To find x we use Pythagorean's Theorem:
[tex]x^2=3^2+4^2[/tex] and
[tex]x^2=9+16[/tex] and
[tex]x^2=25[/tex] so
x = 5
Cosella is conducting an experiment where she assesses how quickly teenagers can run a 100-meter race after consuming specific amounts of caffeine. She divides her sample up into three groups. Group 1 receives a glass of water with no caffeine added. Group 2 receives a glass of water with an amount of caffeine equivalent to that in one cup of coffee. Group 3 receives a glass of water with an amount of caffeine equivalent to that in two cups of coffee. Each participant is then timed as they run the course. In this study, the dependent variable is
Answer:
The dependent variable is the time taken to run 100 metres
Step-by-step explanation:
A dependent variable is simply one that is being measured or sometimes tested in an experiment.
Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.
Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.
Instructions: Problem 3 ! Find the missing angle in the image below. Do not include spaces in your answers
Answer:
155
Step-by-step explanation:
first add 72 and 83 = 155. Then use 180-155=25. then subtract 25 from 180.
Need help ASAP.
Consider the given functions.
Which graph represents the given function?
What are the coordinates of the point that 1/6 of the way from A to B
Answer:
D
Step-by-step explanation:
The distance from - 2 to 10 is 12. 12/6 is 2, so 2 spaces across
Find the roots of the following equations: x-1/X=3,X is not equal to zero.
Step-by-step explanation:
X-1/X=3
X-1=3×X
X-1=3X
-3X+X=1
-2X=1
X=1/2 Answer
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9
Answer:
The answer is "[tex]y\approx 1.4[/tex]".
Step-by-step explanation:
In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.
Answer:
b
Step-by-step explanation:
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
The distance traveled (in meters) by an insect is modeled by the equation d=0.5t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 27.9 minutes.
A. none of these
B. 13.95 meters
C. 55.8 meters
D. 1.395 meters
Answer:
B. 13.95 meters
Step-by-step explanation:
The question is just asking you to talk the amount of time taken, and divide it in half.
d= 0.5(27.9)
Find the volume - leave answer in terms of π
Answer:
144[tex]\pi[/tex]
Step-by-step explanation:
Volume of a Sphere :
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]
V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)
V = 288[tex]\pi[/tex]
Now divide by 2, it's only half of a sphere.
In an English test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally distributed, answer the following question.
a. what is the percentile rank of the score 65?
b. what is the percentile of the score less than 70?
c. what is percent of the scores is greater than 65?
d. what percent of scores is less than 70?
e. what percent of the score is between 50 and 60?
Answer:
a) A score of 65 is in the 79.67th percentile.
b) A score less than 70 is below the 95.25th percentile.
c) 20.33% of the scores are greater than 65.
d) 95.25% of scores are less than 70.
e) 45.25% of the scores are between 50 and 60.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean is 60 and the standard deviation is 6.
This means that [tex]\mu = 60, \sigma = 6[/tex]
a. what is the percentile rank of the score 65?
This is the p-value of Z when X = 65.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{65 - 60}{6}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a p-value of 0.7967.
Thus: A score of 65 is in the 79.67th percentile.
b. what is the percentile of the score less than 70?
Below the p-value of Z when X = 70. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 60}{6}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
Thus: A score less than 70 is below the 95.25th percentile.
c. what is percent of the scores is greater than 65?
The proportion is 1 subtracted by the p-value of Z when X = 65.
From item a, when X = 65, Z has a p-value of 0.7967
1 - 0.7967 = 0.2033
0.2033*100% = 20.33%
20.33% of the scores are greater than 65.
d. what percent of scores is less than 70?
The proportion is the p-value of Z when X = 70, which, from item b, is of 0.9525.
0.9525*100% = 95.25%
95.25% of scores are less than 70.
e. what percent of the score is between 50 and 60?
The proportion is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 50.
X = 60
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 60}{6}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
X = 50
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 60}{6}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a p-value of 0.0475.
0.5 - 0.0475 = 0.4525
0.4525*100% = 45.25%
45.25% of the scores are between 50 and 60.
7 of 8
Write the number three million and eighty-two thousand in figures
Answer:
3,082,000
Step-by-step explanation:
THE ANSWER IS 3,082,000 HOPE IT HELPS
The x-intercept, or zero, of function g is x = . Function g is over the interval [-5, 5]. As the value of x approaches positive infinity, the value of g(x) approaches infinity.
Answer:
boom box second one one my bad just need points my g
Step-by-step explanation:
Answer:
3
decreasing
negative
Step-by-step explanation:
The graph of function g crosses the x-axis at (3,0), so there is a zero at x = 3.
As the values of x increase, the values of g(x) decrease, so function g is decreasing along all intervals, including the interval [-5, 5].
As the values of x approach positive infinity, cube root functions either approach positive infinity or negative infinity. Since this function is decreasing, the values of g(x) approach negative infinity.
If < A and < B are a linear pair, and < A = 68 °, then < B = _____.
Select one:
a. 68 °
b. 112 °
c. 101 °
d. 90 °
Answer:
Option b, 112°
Step-by-step explanation:
<A+<B=180
or, 68+<B=180
or, <B=112
Answered by GAUTHMATH
The cost of 5 gallons of ice cream has a variance of 64 with a mean of 34 dollars during the summer. What is the probability that the sample mean would differ from the true mean by more than 1.1 dollars if a sample of 38 5-gallon pails is randomly selected? Round your answer to four decimal places.
Answer:
Probability[(X - μ) < 1.1] = 0.6046
Step-by-step explanation:
Given:
σ² = 64
Mean μ = 34
Find:
Probability[(X - μ) < 1.1]
Computation:
Standard deviation σ = √σ²
Standard deviation σ = √64
Standard deviation σ = 8
Probability[(X - μ) < 1.1] = Probability[-1.1 < (X - μ) < 1.1]
Probability[(X - μ) < 1.1] = Probability[-1.1/(8/√38) < (X - μ) < 1.1/(8/√38)]
Using z table
Probability[(X - μ) < 1.1] = 0.6046
factories ((x+2)+3x+6. 2a(a-1)-a+1
Answer:1. = 4x+8
2. 2a²-a+1
Step-by-step explanation:
1. ((x+2)+3x+6. 2. 2a(a-1)-a+1
((x+2)+3x+6
= x+2+3x+6
= 4x+8
2a(a-1)-a+1
2a²-2a-a+1
2a²-a+1
I swear imma fail this class
Answer:
use mathpapa If that helps, it a math calculator
someone help me please with this algebra homework
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)
Answer:
The remainder will be 3.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).
Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).
We can rewrite the binomial as (x - (-1)).
Therefore, a = -1.
Then the remainder will be P(-1).
Looking at the graph, we can see that P(-1) = 3.
Thus, the remainder when P(x) is divided by (x + 1) is 3.
Answer:
The remainder is 3 :)
Step-by-step explanation:
please mark me as brainliest
Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets
Answer:
standard deviation
Step-by-step explanation:
The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.
It is denoted by the Greek letter sigma, σ.
Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.
Find the value of the constant a for which the polynomial x^3 + ax^2 -1 will have -1 as a root. (A root is a value of x such that the polynomial is equal to zero.)
Answer:
[tex]{ \bf{f(x) = {x}^{3} + {ax}^{2} - 1 }} \\ { \tt{f( - 1) : {( - 1)}^{3} + a {( - 1)}^{2} - 1 = 0}} \\ { \tt{f( - 1) : a - 2 = 0}} \\ a = 2[/tex]
The polynomial function [tex]$x^3 + ax^2 -1[/tex] will have -1 as a root at the value of
a = 2.
What is a polynomial function?A polynomial function exists as a function that applies only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Given: A root exists at a value of x such that the polynomial exists equivalent to zero.
Let, the polynomial equation be [tex]$x^3 + ax^2 -1[/tex]
then [tex]$\mathbf{f}(\mathbf{x})=\mathbf{x}^{3}+a \mathbf{x}^{2}-\mathbf{1}$[/tex]
Put, x = -1, then we get
[tex]$\mathbf{f}(-1)=(-1)^{3}+\mathrm{a}(-1)^{2}-1=0$[/tex]
f(-1) = a - 2 = 0
a = 2
Therefore, the value of a = 2.
To learn more about polynomial function
https://brainly.com/question/26240147
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the letter v has an unknown value. If you multiply v by 16, the product is 4.what is the value of v?
Answer:
v = 0.25
Step-by-step explanation:
v = ?
v x 16 = 4 (given)
v = 4/16
v = 0.25
Checking:
[ 0.25 x 16 = 4]
Answer:
1/4 or 0.25 (as a decimal)
Step-by-step explanation:
We know that v has an unknown value.
When it is multiplied by 16, we would get the product.
Turn it into an equation:
16x = 4
Find x:
4 ÷ 16 = 0.25 or 1/4
Now we’ve find x:
16 x 1/4 = 4
Which is a true equation
So x equals 0.25 or 1/4 (as a fraction)
I’d recommend choose fraction bu whatever is up to you!
There are 103 pounds of wood pieces in a bag. Each wood piece weighs 53 pounds. How many wood pieces are there in the bag?
Answer:
Approximately 2
Step-by-step explanation:
103 divided by 53 is 1.94
Round 1. 94 up to a whole number is approximately 2 wood pieces.
t=29pi/6
1. find the reference number
2. find the point on the unit circle
3. 6 trig functiond
PLEASE HELP ME <3!!!
Answer:
Wasim has enough money.
Step-by-step explanation:
1. find the area of the garden path:
600 cm x 120 cm = 72,000 sq. cm
2. find the area of each stone:
it is a square of 30 cm by 30 cm, so:
30 cm x 30 cm = 900 sq. cm
3. find how many stones can fit in the path:
72,000 / 900 = 80 stones
4. multiply that by the price of each stone:
80 stones x $2.50 = $200
Wasim's budget is $220 and the stones will only cost $200, so it is within the budget
Christina cycles 2 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips to work x and the total distance cycled y.
Answer:
y=2x
Step-by-step explanation:
what are the ex and Y coordinates of point E, which partition the directed line segment from A to B into a ratio of 1:2?
Answer:
Step-by-step explanation:
The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:
[tex]x=\frac{bx_1+ax_2}{a+b}[/tex] and [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:
[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and then y:
[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]
The coordinates of point E, then, are (0, 1).
Answer:
(-1,3)
Step-by-step explanation:
Mathematically, what we have to do here is to get the coordinates of the midpoint of the line AB
we have this as;
(x,y) = (x1 + y1)/2, (y1 + y2)/2
(x,y) = (-4+2)/2, (9-3)/2 = (-1, 3)
Marlene earns $12,800 per year. 15% is taken from her earnings for taxes. how much money is paid in taxes? how much money is left for Marlene to spend???
Answer:
$1,920
$10,880
Step-by-step explanation:
Amount marlene earns per year = $12,800
Percentage of taxes = 15%
how much money is paid in taxes?
Amount of tax Marlene pays = 15% of $12,800
= 15/100 × $12,800
= 0.15 × $12,800
= $1,920
how much money is left for Marlene to spend?
Amount left for Marlene to spend = Amount marlene earns per year - Amount of tax Marlene pays
= $12,800 - $1,920
= $10,880
Solve for x. Round to the nearest tenth, if necessary.
Answer:
2.7
Step-by-step explanation:
you can do sin17 * 9.3, because sin = opp/hyp = x/9.3
use your calculator for sin17 and multiply it by 9.3
Fiona rolls a fair dice 144 times.
How many times would Fiona expect to roll an even number?
There are 3 even numbers out of 6 total numbers.
Rolling an even number would be 3/6 = 1/2
She would expect half the rolls should be even.
144/2 = 72
The answer is 72 times.
Now, if you solve for x, what is the result?
Answer:
x = 3/9
= 1/3
Step-by-step explanation:
i did this assignment and got it right