Divide miles by time:
77 9/16 miles / 8 1/2 hours =
Rewrite as I’m proper fractions:
1241/16 / 17/2
Flip the second fraction over and multiply:
1241/16 x 2/17 = (1241x2)/(16x17) =
2482/272 = 9 1/8 miles per hour
Hi there!
Simplify each terms:
[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]
Divide each terms:
[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]
Simplify terms:
[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]
Final Result:
[tex]9\frac{1}{8}[/tex]
Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following statements: (a) This event is impossible: [ Select ] (b) This event will occur more often than not, but is not extremely likely: [ Select ] (c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials: [ Select ] (d) This event will occur for sure: [ Select ]
Answer:
(a) 0
(b) 0.6
(c) 0.01
(d) 1
Step-by-step explanation:
Given
Probabilities: 0, 0.01, 0.3, 0.6, 0.99, and 1 ---> Missing information
Required
Match the probabilities with appropriate values
(a) Impossible:
An impossible event will always have a probability of 0
(b) Occurrence is more often than not, but not extremely likely:
An event that will occur more often than not will have a probability greater than 0.5 but less than 1
However, if the likelihood is not extremely likely, the probability will be closer to 0.5 and 1.
The probability that matches this description is 0.6
(c) Occurrence is extremely unlikely, but will occur once in a while
An event that is extremely unlikely will have a value greater than 0 and the value will be very close to 0.
The probability that matches this description is 0.01
(d) A certain event:
A certain event has a probability of 1
3. The 7th grade students took a survey about which pizza company the students
preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th
grade.
If 5 out of 8 students chose Papa John's, how many students chose Papa
John's? How many did not?
Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
[tex]8x = 5*64[/tex]
Simplifying by 8
[tex]x = 5*8 = 40[/tex]
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
Math 1-2 High School please help due in two minutes
The sum of the interior angle of a rhombus is 360° and each angle is 90°
find what y equals please (geometry) :)
8.652
10)
1.2
Help please
Answer:
1.921
Step-by-step explanation:
Fifteen students were registered in Section 1 and 15 students were registered in Section 2 of a research course. They took the same midterm exam, and their exam scores were distributed as follows: Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94 Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98 a. Calculate the mode, median, mean, range, variance, and standard deviation for both sections. Include your SPSS output below. (10 pts) b. Which section did better overall on the exam? Fully justify your answer using the concepts in W&G Chapter 3. (3 pts)
Answer:
a)
For Section 1 -
Mode : 45 , 98
Median - 78
Mean - 73.8
Range - 65
Variance - 537.03
Standard Deviation - 23.17
For Section 2 -
Mode : 67 , 77 , 87 , 88 , 98
Median - 77
Mean - 76.4
Range - 55
Variance - 333.11
Standard Deviation - 18.25
b)
Section 2 did better overall on the exam
Step-by-step explanation:
As given,
Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94
Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98
a)
For Section 1 -
Mode : 45 , 98
Median - 78
Mean - 73.8
Range - 65
Variance - 537.03
Standard Deviation - 23.17
For Section 2 -
Mode : 67 , 77 , 87 , 88 , 98
Median - 77
Mean - 76.4
Range - 55
Variance - 333.11
Standard Deviation - 18.25
b)
As,
Standard deviation of section 2 < Standard deviation of section 1
⇒ Students of Section 2 are more consistent.
Also,
mean of Section 2 > mean of Section 1,
⇒average score of Section 2 student > Average score of Section 1 student.
∴ we get
Section 2 did better overall on the exam.
how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%
Answer:
1100 brainliest please
Step-by-step explanation:
1000×2×0.05=100
1000+100=110
Find the area of the kite.
Area=
(Simplify your answer)
jfdxaMXDCJINCIZSCKZDXVSJOISACXKISZPIAnhCPKISZJCPKNSPKCN KPZSA
Answer:
Jassjsjdhjajjjjajajajajjjajajajajajqjqjjqjsjsjajajajajjajajaja
Parallelogram ABCD is similar to parallelogram EFGH. Which proportion must be true?
A. BC FG = CD GH
B. FG BC = CD GH
C. AB HG = CB FG
D. BA EH = CD FG
Answer:
I believe the answer is D
Step-by-step explanation:
that one made them ost sense to me but I'm sorry if I'm wrong
The nth term of the GP is given by
[tex]10 - \frac{10}{ {2}^n{}}[/tex]
find the first 4 terms
Answer:
Step-by-step explanation:
hello :
An = 10 -10/2^n
the first 4 terms are :
A1 = 10 -10/2^1 = 10-5
A1 = 5
A2 = 10 -10/2^2 = 10-10/4 = 10-5/2 = (20-5)/2
A2 = 15/2
A3 = 10 -10/2^3 = 10-10/8 =10- 5/4 = (40-5)/4
A3 = 35/4
A4 = 10 -10/2^4 = 10-10/16 = 10-5/8 = (80-5)/8
A4 = 75/8
1/2(m - 3) = 1/4(m - 7)
I
Solve
Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!
Answer:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.
7 19/22-1 8/11 how do you subtract fractions?
The mass of a basket containing three balls was 3.64 kg. The mass of the same basket and five balls is 5.26 kg. Find the mass of the empty basket in kilograms?
Answer:
1.21
Step-by-step explanation:
5.26 - 3.64 = 1.62
1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81
so now we know one apple weights 0.81
if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,
3.64 - the weigth of the apples (2.43)
3.64 - 2.43 = 1.21
the basket alone wieghts 1.21
Sorry if that was too long just want you to understand it
PLEASE HELP!!!
Find the common difference for the arithmetic sequence. -55, -50, -45, -40.....
Answer:
5
Step-by-step explanation:
Just grap any two consecutive terms in the sequence. lets say -55 and -50
-50-(-55) = 5
you can check this by picking two other terms
find y and round to the nearest tenth. thank you
Answer and Step-by-step explanation:
31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.
That means we can solve for y using the trigonometric function of tangent.
[tex]tan(31) = \frac{y}{600}[/tex]
Multiply by 600 to both sides, then use a calculator to solve.
600(tan(31)) = x
x = 360.5163714
x ≈ 360.5 is the answer.
b. -2 + 3x = -(x + 6)
Solve for x
Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.
Step-by-step explanation: 2+2=4 +4x8=9
h(t)= 50- t/5
h(35)=
Answer:
h(35) = 43
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(t) = 50 - t/5
h(35) is t = 35
Step 2: Evaluate
Substitute in t: h(35) = 50 - 35/5Divide: h(35) = 50 - 7Subtract: h(35) = 43Help pls sue before midnight
Answer:
I believes the answer is B
Step-by-step explanation:
I said that because for it to be linear the branch needs to add up by the same number to give for the next two year therefor when we look at the picture the branch measure are not stable so the answer is exponential.
Hope that it help!
13. Jannah purchased flowers to plant in
her garden. She planted 2 flowers in
each of her 5 flower beds plus 8 flowers
around a pond. Write an expression
that shows how many flowers Jannah
planted.
Answer:
2x5=10+8
Step-by-step explanation:
my answer need to be 20 characters long so I had to write this too
Identify the digit with the given place value. 0.27845 hundredths
Answer:
7.
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
For example, in the number 0.27845;
The place value of 0 is units.The place value of 2 is tenths.The place value of 7 is hundredths. The place value of 8 is thousandths. The place value of 4 is ten thousandths. The place value of 5 is hundred thousandths.Therefore, given the number 0.27845.
The digit representing hundredths in 0.27845 is 7.
Find the cosine of <G
Answer:
cos G = 3/5
Step-by-step explanation:
cos = adjacent sides/ hypotenuse
cos G = FG/ GE
cos G = 3/5
2 x 1/2 x 2 1/2 = 2 1/2
Is this correct?
Answer:
Yes
Step-by-step explanation:
2 x 1/2 = 1
1 x 2 1/2 = 2 1/2
Answer:
Yes
Step-by-step explanation:
2 x 1/2= 1
1 x 2 1/2= 2 1/2
What is the place value of 6
Answer:
6 is in ten place and its place value is 60,
Maureen filled a bucket with 5/8 of a gallon of water. 1/4 gallon remained how much leaked
Answer:
3/8 leaked,
Step-by-step explanation:
5/8 - 1/4 = 3/8.
it’s MATH who knows how to do this i’m down bad
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
Write an equation of the line in slope-intercept form.
2
у
2
(2, 2)
-2
2
4 x
(0, - 2)
2
y =
l
A rectangle has area of 150 in2. The ratio of the length to the width is 3:2.
Find the length and width of the rectangle. (This diagram is not to scale),
The diagram is just an rectangle, there are no measurements of what the base or width are
Answer:
length = 15 in
width = 10 in
Step-by-step explanation:
let '3x' = length
let '2x' = width
A = l x w
150 = 3x(2x)
150 = 6x²
x² = 150/6
x² = 25
x = [tex]\sqrt{25}[/tex]
x = 5
Length = 3(5) = 15 in
Width = 2(5) = 10 in