Answer:
you didn't feature any graphs for me to choose from
Justin has ridden 34 miles of a bike course. The course is 40 miles long. What percentage of the course has Justin ridden so far?
85%
Step-by-step explanation:Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.
If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:
0.85 * 100 = 85%
Women comprise 83.3% of all elementary school teachers. In a random sample of 300 elementary school teachers, what is the probability that fewer than 260 are women?
Using the normal approximation to the binomial, it is found that there is a 0.9319 = 93.19% probability that fewer than 260 are women.
In a normal distribution 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]
It 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, which is the percentile of X. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
Women comprise 83.3% of all elementary school teachers, hence [tex]p = 0.833[/tex]A sample of 300 teachers is taken, hence [tex]n = 300[/tex]The mean and the standard deviation for the approximation are given by:
[tex]\mu = np = 300(0.833) = 249.9[/tex]
[tex]\sigma = \sqrt{np(1 - p)} = \sqrt{300(0.833)(0.167)} = 6.46[/tex]
Using continuity correction, as the binomial distribution is discrete and the normal distribution is continuous, the probability that fewer than 260 are women is P(X < 260 - 0.5) = P(X < 259.5), which is the p-value of Z when X = 259.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{259.5 - 249.9}{6.46}[/tex]
[tex]Z = 1.49[/tex]
[tex]Z = 1.49[/tex] has a p-value of 0.9319.
0.9319 = 93.19% probability that fewer than 260 are women.
A similar problem is given at https://brainly.com/question/25347055
most of the mathematical symbols were not invented until 16th century, before that how equations were written?
Answer:
During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics
Prior to the invention of the Mathematical Symbols, mathematical equations were written in words.
For example, Y + 10 = 4.5 would be written as
The thing plus ten equal to eight.
It is true that MOST, that is, the majority of the mathematical symbols we have today were invented in the 16th century. Examples of such symbols are:
Multiplication Sign × (1618)Plus/Minus Sign ± (1628)Inequality Signs > and < (1631)Percentage Sign % (1650)Infinity Sign ∞ (1655)Division Sign ÷ (1659) to mention a few.Prior to the 16th century, some mathematical signs were already in use. They are:
Plus Sign + (1360)Minus Sign - (1489)Square Root Sign (1525)Equals Sign = (1557) to mention a few.See the link below for more about Mathematical Signs:
https://brainly.com/question/11855662
6(y+7)=2(y-3)
this is a multi step equations, please help
Answer:
= - 1/2
Step-by-step explanation:
6y+6.7=2.(y-3)
6y+42=2.(y-3)
6y+42=2y+2.-3
6y+42=2y-6
4y=-48
4y/4 = -48/4
y=-48/4
y=-12.4/1.4
y= -12
Answer:
y = -12
Step-by-step explanation:
Generally, the first step is to eliminate parentheses.
6y +42 = 2y -6
Now, you have a 3-step equation. I generally start by subtracting the variable term with the lowest coefficient. That leaves a variable term with a positive coefficient.
4y +42 = -6 . . . . . . subtract 2y from both sides (step 1)
Now, you want to eliminate the constant from the side of the equation that has the variable term. Add its opposite.
4y = -48 . . . . . . . . . add -42 to both sides (step 2)
Finally, you divide by the coefficient of the variable.
y = -12 . . . . . . . . . . divide both sides by 4 (step 3)
The solution is y = -12.
_____
Additional comment
As you can see, the general approach is to obtain the variable on one side of the equation and a constant on the other side. You do this by performing the same math operation to both sides of the equation.
Here, we notice that the values outside parentheses are multiples of each other, so we can start by dividing by 2
3(y +7) = y -3 . . . . . . divide both sides by 2
3y +21 = y -3 . . . . . . . eliminate parentheses
Now, we can do steps 1 and 2 at the same time, by adding -21-y to both sides. This gets rid of unwanted variables and constants in one step. (Your teacher may want you to show separate steps.)
(3y +21) +(-21 -y) = (y -3) +(-21 -y)
2y = -24 . . . . . . . . . simplify
y = -12 . . . . . . . . . . . divide by the coefficient of the variable (step 3)
Three different sets of objects contain 2, 3, and 14 objects, respectively. How
many unique combinations can be formed by picking one object from each
set?
A. 28
B. 42
C. 84
D. 19
Answer:
C) 84
Step-by-step explanation:
Use the Fundamental Counting Principle, which states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. In this case, we have 2 ways to select one object from the first set, 3 ways to select one object from the second set, and 14 ways to select one object from the third set. So, we multiply and do 2*3*14=84
Therefore, there are 84 unique combinations
..Find the slope of a line that contains the points (0,1) and (1,3)
Answer:
m=2
Step-by-step explanation:
m=y2-y1/x2-x1
m=3-1/1-0
m=2/1
m=2
Answer:
2
Step-by-step explanation:
because i got it right on the quiz
Math temperature question
Answer:
-10.9
Step-by-step explanation:
Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.
Divide -65.4 by the count of the numbers. (6)
someone please help meeeeee
Answer:
B. (5,0)
Step-by-step explanation:
hope this helps
Answer:
B. (5,0)
Step-by-step explanation:
Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.
Can someone please help me I will mark u brilliant
Answer for the first question: There are 13 pieces of pie left.
Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.
3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.
1/2= 4 because you just divide 8 by 2.
3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.
Therefore, there are 13 pieces of pie left.
1. First, let's have the pieces have the same denominator: 8!
3/8 is already fine
1/2 = 4/8
3/4 = 6/8
Now add up the numerators: 13 pieces were eaten.
Since there are 3 pies, there's 24 pieces total
24 - 13 = 11
11 pieces are left over
2. First, 3/4 x 6 = 4.5
1 1/2 x 5 = 7.5
4.5 + 7.5 = 12
-5 + 12 = 7
At 5:00 pm, it was 7 degrees.
Hope this helps!
Rob has dimes and quarters in a jar the ratio of dimes to quarters is 3 to 7 the jar contains 47 quarters what is the total amount of money in the jar.
Summarize given information. For every 7 quarters, theres three dimes. So divide 47 by 7 and multiply by 3 to find the amount of dimes. If there is a remainder left, further action must be taken.
47 / 7 = 6 (with remainder left over)
In this case, only 42 would work therefore there are 5 extra quarters left. based on the number 6, there are 18 dimes and 42 quarters. Based on further calculations, of the five quarters left, there should be 2 dimes. So, the amount should become 20 dimes and 47 quarters leaving the percentage of 2.2 quarters per dime in this instant.
20 Dimes = $2
47 Quarters = $11.75
11.75 + 2 = 13.75
So there is about $13.75 in the jar.
The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?
Answer:
the expressions are: x + y = 43 and x - 13 = y
x = 28
y = 15
Step-by-step explanation:
hope this helps
may i get braineist pls
Answer:
Smaller is 18, larger is 25.
Step-by-step explanation:
x + y = 43
y = x - 7
x + (x - 7) = 43
2x - 7 = 43
2x = 50
x = 25 (larger)
25 - 7 = 18 (smaller)
Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.
Answer:
1
Step-by-step explanation:
(f/g)(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression
= [tex]\frac{2(2)}{3(2)-2}[/tex]
= [tex]\frac{4}{6-2}[/tex]
= [tex]\frac{4}{4}[/tex]
= 1
I NEED HELP PLSSS GEOMETRY
Answer:
Its the first one (top left option)
Step-by-step explanation:
ur in a rush so i wont explain, pls give me brainliest
help i want to graduate by january :,)
You are designing a new, larger coral reef habitat that will stun visitors with its size and vibrant colors. The tank requires special glass to protect this delicate environment. The glass costs $25,000 + a 10% engineering fee + a 5% shipping fee. The shipping fee is calculated on the cost of the glass plus engineering charges. What is the total cost of the glass, including fees?
Answer:
$28,875
Step-by-step explanation:
First, we would have to find 10% of $25,000
10% of $25,000 = $2,500
Now, we have to add the 2 values together
$25,000 + $2,500 = $27,500
Now, we can find the shipping fee, since it includes the engineering fee
5% of $27,500 = $1,375
Now, we can add the shipping fee to find the total
$27,500 + $1,375 = $28,875
Work out the area of the shaded shape 4m 9m 14m 8m
Answer:
76 m^2
Step-by-step explanation:
To find the area of the figure, you must divide the figure into multiple shapes. By dividing the figure into a 4 x 9 rectangle and a 5 x 8 rectangle, you can calculate the area of these two figures and add them together. After doing this, your answer should be 76 m^2.
If f(x)=|x−5|+2, find f(3).
Answer:
4
Step-by-step explanation:
Substitute 3 for x and solve.
|3 - 5| + 2
=|-2| + 2
= 2 + 2 = 4
A TON OF POINTS AND BRAINLIEST IF ANSWERED CORRECTLY! I RLY NEED HELP PLZZZ ANSWER
Use the function f(x) = 2x^2 − 3x − 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answer:
Step-by-step explanation:
For
f(x) = 2x2-3x -5
For Part A
Set f(x) = 0
Factor the Quadratic
Set the factors = 0
Solve each factor for x to find your x intercepts
For Part B
You need to use the coefficients in your Quadratic
List them
a = 2 , b = -3 and c = -5
Since a is positive, your parabola opens up
Find the x coordinate of the vertex it is -b/2a
One you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex
For Part C
You can plot the vertex, both x intercepts on a coordinate grid
What is 3/4+11/12= I can't figure this out
Answer:
1 2/3
Step-by-step explanation:
1 and 2/3
Help please
i will give brainliest
Answer:
1.69
Step-by-step explanation:
Write the slope intercept equation of the line that passes through (2,5) and (-1,3)
Answer:
y=2/3x+11/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(-1-2)
m=-2/-3
m=2/3
y-y1=m(x-x1)
y-5=2/3(x-2)
y=2/3x-4/3+5
y=2/3x-4/3+15/3
y=2/3x+11/3
Do both of them for 50 points
Answer:
1) 5.44, 2) 3.9
Step-by-step explanation:
1) a/b + 2b - a^2 when a = 1.4 and b = 0.2
plug in the values:
1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44
2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)
again, plug in the values:
2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Area
[tex]\\ \tt\longmapsto \dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]
[tex]\\ \tt\longmapsto \dfrac{1}{2}|(-2)(3+5)+(4)(-5-1)+(-2)(1-3)|[/tex]
[tex]\\ \tt\longmapsto \dfrac{1}{2}|-16-24+4|[/tex]
[tex]\\ \tt\longmapsto \dfrac{1}{2}|-36|[/tex]
[tex]\\ \tt\longmapsto 18units^2[/tex]
Written as a simplified polynomial in standard form, what is the result when
(2x + 7)2 is subtracted from 2X- 8?
[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]
Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) = __ - ___
SOMEONE HELP EXTREMELY QUICK PLSSS
What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?
Answer:
1
Step-by-step explanation:
First, find out what the product would be if you multiply 20 with the fraction:
(3 * 20)/5 = 60/5 = 12
12 = 12 ∴ (3/5)(20) = 12
As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.
put the following unit fractions in order from smallest to largest. 1/16 1/24 1/8 1/10 1/4 1/12 1/3 1/6 1/2
Answer:
1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2
Step-by-step explanation:
If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.
So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.
eric scored 5 more than twice the points that josh did they scored 134 points together what is erics score
Answer:
I believe it'd 69.5
Step-by-step explanation:
if u use the equation 2x+5=134, you get 64.5 for Josh and 69.5 for eric
What is the volume if a cylinder with height 13 and radius 6?
pythagorean theorem to find the length of the hypotenuse in the triangle 16 30
Answer:
the answer is 34.
Step-by-step explanation:
