Answer:
Step-by-step explanation:
8 3/5 on a number line is between 8 and nine
idk how to draw a number line on a computer so ill just tell you how
1. divided the spaces between 8 and 9 into 5 sections ( 3/5 )
2. then mark 3 of those 5 spaces and put a dot or a line at where the 3rd space ends
Lines AB and CD are parallel. If the measure of angle W equals 124 degrees, what is the measure of angle X?
Answer:
56 degrees
Step-by-step explanation:
They are supplementary, so they add to 180. 180 - 124 = 56.
Answer:
56 degrees
Step-by-step explanation:
They are supplementary, so they add to 180. 180 - 124 = 56.
The following table shows scores obtained in an examination by B.Ed JHS Specialism students. Use the information to answer the questions that follow: Score 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 Frequency 10 4 10 20 30 15 3 2 1 5.a. Construct a cumulative frequency curve for the data. b. Find the; i. inter-quartile range. ii. 70th percentile class scores. iii. probability that a student scored at most 50 on the examination
Answer:
(a) The cumulative frequency curve for the data is attached below.
(b) (i) The inter-quartile range is 10.08.
(b) (ii) The 70th percentile class scores is 0.
(b) (iii) the probability that a student scored at most 50 on the examination is 0.89.
Step-by-step explanation:
(a)
To make a cumulative frequency curve for the data first convert the class interval into continuous.
The cumulative frequencies are computed by summing the previous frequencies.
The cumulative frequency curve for the data is attached below.
(b)
(i)
The inter-quartile range is the difference between the third and the first quartile.
Compute the values of Q₁ and Q₃ as follows:
Q₁ is at the position:
[tex]\frac{\sum f}{4}=\frac{100}{4}=25[/tex]
The class interval is: 34.5 - 39.5.
The formula of first quartile is:
[tex]Q_{1}=l+[\frac{(\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
Here,
l = lower limit of the class consisting value 25 = 34.5
(CF)[tex]_{p}[/tex] = cumulative frequency of the previous class = 24
f = frequency of the class interval = 20
h = width = 39.5 - 34.5 = 5
Then the value of first quartile is:
[tex]Q_{1}=l+[\frac{(\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
[tex]=34.5+[\frac{25-24}{20}]\times5\\\\=34.5+0.25\\=34.75[/tex]
The value of first quartile is 34.75.
Q₃ is at the position:
[tex]\frac{3\sum f}{4}=\frac{3\times100}{4}=75[/tex]
The class interval is: 44.5 - 49.5.
The formula of third quartile is:
[tex]Q_{3}=l+[\frac{(3\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
Here,
l = lower limit of the class consisting value 75 = 44.5
(CF)[tex]_{p}[/tex] = cumulative frequency of the previous class = 74
f = frequency of the class interval = 15
h = width = 49.5 - 44.5 = 5
Then the value of third quartile is:
[tex]Q_{3}=l+[\frac{(3\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
[tex]=44.5+[\frac{75-74}{15}]\times5\\\\=44.5+0.33\\=44.83[/tex]
The value of third quartile is 44.83.
Then the inter-quartile range is:
[tex]IQR = Q_{3}-Q_{1}[/tex]
[tex]=44.83-34.75\\=10.08[/tex]
Thus, the inter-quartile range is 10.08.
(ii)
The maximum upper limit of the class intervals is 69.5.
That is the maximum percentile class score is 69.5th percentile.
So, the 70th percentile class scores is 0.
(iii)
Compute the probability that a student scored at most 50 on the examination as follows:
[tex]P(\text{Score At most 50})=\frac{\text{Favorable number of cases}}{\text{Total number of cases}}[/tex]
[tex]=\frac{10+4+10+20+30+15}{100}\\\\=\frac{89}{100}\\\\=0.89[/tex]
Thus, the probability that a student scored at most 50 on the examination is 0.89.
What’s the answer please
Answer:
C. [tex] \sqrt {149} [/tex]
Step-by-step explanation:
Coordinates of the endpoints of the segment are (4, 4) & (-6, - 3)
By distance formula
Length of segment
[tex] = \sqrt {(4+3)^2 +(4+6)^2} [/tex]
[tex] = \sqrt {(7)^2 +(10)^2} [/tex]
[tex] = \sqrt {49 +100} [/tex]
[tex] = \sqrt {149} [/tex]
What is the sum of the interior angles of a regular polygon with 13 sides
Answer:
Regular Polygons
Sides - Name - Interior Angles
13 - Triskaidecagon - 152.31°
14 - Tetrakaidecagon. - 154.29°
15 - Pendedecagon. - 156.00°
16 - Hexdecagon - 157.50°
I added some more incase u need it....
Hope it helped u if yes mark me BRAINLIEST I!
Tysm!
:)
u= 2a - 2. solve for a
Answer: a = [tex]\frac{u+2}{2}[/tex]
We want to isolate a. Add both sides by 2. Then we get u + 2 = 2a. To get just a, we can divide by 2 to get (u+2)/2.
Hope that helped,
-sirswagger21
Hey there! I'm happy to help!
We want to get a on one side of the equation all on its own.
Let's flip the equation around so a ends up on the left. Usually variables are supposed to be on the left.
2a-2=u
We add 2 to both sides.
2a=u+2
We divide both sides by 2.
a=(u+2)/2
We divide both u and 2 by 2 so our answer is completely simplified.
a=1/2u+1.
I hope that this helps! Have a wonderful day! :D
A norman window has the shape of a square with a semicircle mounted on it. Find the width of the window if the total area of the square and the semicircle is to be 190 ft squared?
Answer:
11.68ft or 11.68 feet
Step-by-step explanation:
From the above question, we are told that:
Area of the square and the Area semicircle is to be 190 ft squared.
We are also told in the question that:
The window has the shape of a square with a semicircle mounted on it.
Hence, the Diameter of the semicircle = Width of the Square
Let the Width of the square = x
Area of a square = Width²
= x²
Let the Diameter of the semi circle = x
Radius of the semi circle = Diameter of the semi circle/2 = x/2
Area of a semicircle = πr²/2
Area of a the semi Circle = π ×(x/2)² /2
= (πx²/4)/2
= πx²/8
Therefore,
Area of a square + Area of a semicircle = 190ft²
= x² + πx²/8 = 190
Cross Multiply
x² + πx² = 190
= x² ( 1 + π/8) = 190
x² = (190)/(1 + π/8)
x² = 136.42573798
x = √136.42573798
x = 11.680142892ft
Approximately x ≈ 11.68ft
Therefore, the width of the window = 11.68ft
Suppose that participants who adhere to a particular weight loss program lose an average of 1.5 lbs per week. Write a population regression model that describes how participants' mean current weight changes with time x1 (in weeks) and starting weight x2 (in pounds).
Answer:
y = x₂ - 1.5 × x₁.
Step-by-step explanation:
Regression model is a technique of analysis in which a variable known as dependent variables and another variables known as the independent variables are analyzed to determine their relationship.
So, from the question given above we have that; "Suppose that participants who adhere to a particular weight loss program lose an average of 1.5 lbs per week".
Also, we are given that time = x1 (in weeks) and weight = x2 (in pounds). Therefore the regression equation is given as below;
y = x₂ - 1.5 × x₁.
On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
Use the drop downs to answer the following questions about the distance between the points (−5, 1) and (2, −1).
What is the distance of the horizontal leg?
What is the distance of the vertical leg?
Use the Pythagorean theorem. What is the distance between the two points?
On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
Use the drop downs to answer the following questions about the distance between the points (−5, 1) and (2, −1).
What is the distance of the horizontal leg?
What is the distance of the vertical leg?
Use the Pythagorean theorem. What is the distance between the two points?
Answer:
Step-by-step explanation:
Given a triangle has points:
(-5,1),(2,1), (2,-1)
Let us label the points:
A(2,1),
B(-5,1) and
C(2,-1)
To find:
Distance between (−5, 1) and (2, −1) i.e. BC.
Horizontal leg AB and
Vertical leg, AC.
Solution:
Please refer to the attached diagram for the labeling of the points on xy coordinate plane.
We can simply use Distance formula here, to find the distance between two coordinates.
Distance formula :
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For BC:
[tex]x_2 = 2\\x_1 = -5\\y_2 = -1\\y_1 = 1[/tex]
[tex]BC = \sqrt{(2--5)^2+(-1-1)^2} = \sqrt{63}[/tex]
Horizontal leg, AC:
[tex]x_2 = -5\\x_1 = 2\\y_2 = 1\\y_1 = 1[/tex]
[tex]AC = \sqrt{(2-(-5))^2+(1-1)^2} = 7[/tex]
Vertical Leg, AB:
[tex]x_2 = 2\\x_1 = 2\\y_2 = -1\\y_1 = 1[/tex]
[tex]AB = \sqrt{(2-2)^2+(-1-1)^2} = 2[/tex]
Answer:
The answer are 7, 2 and 53
Step-by-step explanation:
What is the value of a in the function's equation?
A. -2
B. -3
C. 3
D. 2
The value of a in the function's equation is 3
What is equation function?A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type
What is parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions,
equation of parabola is :
[tex]y= a (x-h)^{2} + k[/tex]
where ,
h= horizontal coordinate of graph
k = vertical coordinate of graph
a = the value of the coefficient
According to the question
horizontal coordinate of graph = -2
vertical coordinate of graph = 2
[tex]y= a (x-h)^{2} + k[/tex]
[tex]y= a (x+2)^{2} + 2[/tex]
now we will take one point from x and y value from the graph to take out value of coefficient a
from graph (x,y) = (-1,5)
[tex]5= a (-1+2)^{2} + 2[/tex]
[tex]\\3= a (-1+2)^{2}[/tex]
[tex]\\3= a (1)^{2}[/tex]
[tex]a = 3[/tex]
Hence, the value of a in the function's equation is 3
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I will mark you as brainliest please answer with way and dont send anything useless thing if you are not answering you can send answer with way by sending image of the answer.
Answer:
24
Step-by-step explanation:
There are two triangles PQR, each with area base*half heigth = 6*2 = 12, and two times 12 is 24.
Answer:
12 cm ^2 of a single triangle
Step-by-step explanation:
area of triangle= 1/2 (l×b)
= 1/2 (4cm × 6cm)
= 1/2 (24cm^2)
= 24/2 cm^2
= 12 cm^2
and the area of both these triangle will be 24cm^2
PLZZZZZ HELP
A median of a triangle is a line or segment that passes through a vertex and
bisects the side ______ the vertex.
A. congruent to
B. opposite
C. adjacent to
D. below
Round to the nearest thousand.
64,473
64,473 rounded to the nearest thousand is ?
Answer:
64000
Step-by-step explanation:
Answer:
64000
Step-by-step explanation:
Please help!! Attachment below
Answer:
hamburger =282 calories
soda=212 calories
Step-by-step explanation:
2h+5c=1624 ...............×3
3h+2c=1270 ................×2
use eliminate method: multiply the first equation by 3, and second one by 2 to eliminate h first:
6h+15c= 4872
6h+4c=2540
subtract the two equations
6h+15c-6h-4c=4872-2540
11c=2332
c=2332/11
c=212 calories in soda
substitute c in any equation to get h
2h+5c=1624
2h+5(212)=1624
2h=1624-1060
2h=564
h=564/2=282
h=282 calories
check :
2(282)+5(212)=
564+1060=1624
3h+2c=1270
3(282)+2(212)=1270
please help!!!!
what is the least common denominator of 1/6, 10/11, 5/12?
===================================================
Work Shown:
LCM = least common denominator
List out the prime factorization of each denominator
6 = 2*311 = 1*1112 = 2*2*3So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.
The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM
The prime 3 shows up at most one time, meaning 3 is also a factor
The prime 11 shows up at most one time, so 11 is another factor
Multiply these factors to get 4*3*11 = 12*11 = 132
The LCM is 132
---------------------
Another Approach:
Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.
The LCM of 1/6 and 10/11 is 66
The fractions 1/6 and 10/11 are equivalent to 11/66 and 60/66 respectively
The original list of fractions updates to 11/66, 60/66, 5/12
We've gone from 3 different denominators to now 2 different denominators.
Repeat the steps of multiplying the denominators and dividing by the GCF
66*12 = 792
792/(gcf of 66 and 12) = 792/6 = 132
So the LCM of all the fractions is 132.
A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R charts. Eight samples, each containing 10 detergent boxes, were selected from different batches. The data in fill weight (in ounces) of the eight samples is presented below.
Sample Sample Mean Sample Range
1 5.8 0.42
2 6.1 0.38
3 16.02 0.08
4 15.95 0.15
5 16.12 0.42
6 6.18 0.23
7 5.87 0.36
8 16.2 0.4
If A2 for the sample size is 0.3080, the lower controllimit for the x-bar chart is___________
Answer:
10.9361
Step-by-step explanation:
The lower control limit for xbar chart is
xdoublebar-A2(Rbar)
We are given that A2=0.308.
xdoublebar=sumxbar/k
Rbar=sumR/k
xbar R
5.8 0.42
6.1 0.38
16.02 0.08
15.95 0.15
16.12 0.42
6.18 0.23
5.87 0.36
16.2 0.4
Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8
Xdoublebar=88.24/8
Xdoublebar=11.03
Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8
Rbar=2.44/8
Rbar=0.305
The lower control limit for the x-bar chart is
LCL=xdoublebar-A2(Rbar)
LCL=11.03-0.308*0.305
LCL=11.03-0.0939
LCL=10.9361
A box contains 9 red and 2 blue marbles. If you select one marble at random from the box, determine the odds against selecting a blue marble.
Answer:
2/11 or approx. 18%
Step-by-step explanation:
There are 2 blue marbles out of 11 total marbles, so the probability will be 2/11.
2/11 = 0.18, or 18%
So, the odds are 2/11 or approx. 18%
Answer:
9:2
Step-by-step explanation:
9 red and 2 blue
ways that an outcome cannot occur : how many ways it can occur
9 : 2 are the odds against a blue marble
Please Help! Best gets Brainlest
Answer:
A. g=11
Step-by-step explanation:
We want to find which choice makes the equation true. Let's plug in each answer choice.
A. g=11
26=7(11-9)+12
26= 7(2)+12 Solve inside the parentheses.
26= 14+12 Multiply 7 and 2.
26= 26 Add 14 and 12.
This answer must be correct, but let's check the other choices .
B. g=12
26=7(12-9)+12
26= 7(3)+12 Solve inside the parentheses.
26= 21+12 Multiply 7 and 3.
26≠33 Add 14 and 12.
This choice is not correct.
C. g= 13
26=7(13-9)+12
26= 7(4)+12 Solve inside the parentheses.
26= 28+12 Multiply 7 and 4.
26≠40 Add 28 and 12.
This is also not correct.
D. g= 14
26=7(14-9)+12
26= 7(5)+12 Solve inside the parentheses.
26= 35+12 Multiply 7 and 5.
26≠47 Add 35 and 12.
This choice is not correct either.
The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.
Janice published a novel. Last month the book sold 1307 copies, earning Janice a total of $1408.4. This month the book sold 1409 copies. How much should Janice expect to receive in royalties this month?
Answer:
$1518.31
Step-by-step explanation:
Books sold = 1307
Earning from 1307 copies = $1408.4
Earning from one copy:
1408.4/1307Earning from 1409 copies expected:
1409*1408.4/1307 ≈ 1518.31Great Rapids White Water Rafting Company rents rafts for $125 per hour. Explain why the point (0,0) and (1,125) are on the graph of the relationship and what these points mean in the context of the problem. How much would you pay for 12 hours? How long have you rented the rafts if you spent $750?
Answer:
$1500
6 hours
Step-by-step explanation:
There is no one off fee, therefore we got (0,0) a starting point.
(1,125) is representing the first hour of rent, so 1 hour rent costs $125.
There is a direct relationship between the time and rental fee.
As a function is will be:
f(x) = 125x, where f(x) is the total amount and x is the time in hoursFor x= 12, we get:
f(12) = 125*12= $1500So, if f(x) = 750, then:
750 = 125x x= 750/125 x= 6 hoursWILL GIVE BRAINIEST THANKS AND 5 STARS FOR CORRECT ANSWER What number am I? I have 3 digits. My first digit is twice the size of my second digit. My second digit is twice the size of my third digit. If you add my digits together, the sum is 14.
Answer:
First digit is 8, second digit is 4, and third digit is 2.
Step-by-step explanation:
a=3i+4j, b=5i+4j. find a+b
Answer:
8i+8j
Step-by-step explanation:
3i+4j+5i+4j
i(3+5) + j(4+4)
Therefore 8i +8j
HAPPY TO HELP YOU
Answer:
Step-by-step explanation:
we have :
a=3i+4j
b=5i+4i
so that : a+b=3i+4j+5i+4j
=(3i+5i)+(4j+4j)
so a+b=8i+8j=8(i+j)
a cold front came in today and the temperature dropped 30 degrees. Write an algebraic expression to explain the new temperature.
Answer:
The algebraic equation describing the above
X+y= x-30
Step-by-step explanation:
The initial temperature of the environment= x degrees
Temperature of the front= y degrees
the environment dropped 30 degrees, means loosed 30 degrees.
The final temperature f the environment= x-30
The algebraic equation describing the above
X+y= x-30
What is the slope of the line with points (1, 2) and (4, 2)?
Answer:
0
Step-by-step explanation:
To find the slope of two points, here is the formula (y2-y1)/(x2-x1)
So we have (1,2) and (4,2),
We let y2 = 2 and y1 = 2 and we let x2 = 4 and x1 = 1
So, (2-2)/(4-1) = 0/3
Our slope is 0.
The vertical position y (in feet) of a rock t seconds after it was dropped from a cliff is given by the formula y equals short dash 16 t squared plus 4 t plus 380. The base of the cliff corresponds to y equals 0. After how many seconds will the rock hit the ground at the base of the cliff?
Answer: t = 4.87s
Step-by-step explanation: The vertical position y is given by
[tex]y = -16t^{2}+380[/tex]
If y at the base of the cliff equals 0, then equation is
[tex]-16t^{2}+380=0[/tex]
[tex]-16t^{2}=-380[/tex]
[tex]t^{2}=\frac{-380}{-16}[/tex]
[tex]t=\sqrt{\frac{380}{16}}[/tex]
[tex]t=\sqrt{23.75}[/tex]
t = 4.87
Since it is time we want, the negative value of the square root can be ignored. So, at the base of the cliff, the rock will hit the ground after 4.87 seconds.
Solve for x
3/4x = -9
-12 is the answer
Step-by-step explanation:
[tex] \frac{3x}{4} = - 9[/tex]
Firstly we have to take 4 to the R.H.S and multiply -9 with 4
[tex]3x = - 9 \times 4 [/tex]
[tex]3x = - 36[/tex]
Now, take 3 to R.H.S and divide 3 by -36
[tex]x = \frac{ - 36}{ \: \: 3} [/tex]
so after solving this we get our answer,
[tex]x = - 12[/tex]
Hope it helps u
Points are usually paved as
Answer:
To score good marks because 1 marks can give us good life in future
(2x3)over 2-5 over 2
Answer:
2x3/2-5/2
=6/-3/2
=-1
6 divide by 2 is +3 and +3 divide by - 3 equals - 1
The table shows the relationship between the number of calories Raquel burns while hiking and the number of minutes she hikes.
How many calories will Raquel burn in 1 minute while hiking?
Answer:
5 calories.
Step-by-step explanation:
We begin by calculating the rate at which Raquel burns calories while hiking.
This can be obtained as follow:
Calories burned = 225 calories
Time = 45 mins
Rate =?
In this case, the Rate is simply defined as calories per unit time. Mathematically, it is expressed as:
Rate = Calorie/time
With the above formula, we can obtain the rate at which Raquel burns calories as follow:
Calories burned = 225 calories
Time = 45 mins
Rate =?
Rate = Calorie/time
Rate = 225/45
Rate = 5 cal/min
Therefore, Raquel burns Calories at a rate of 5 cal/min.
Now, we shall determine the calories burned by Raquel in 1 minutes. This is illustrated below:
Rate = 5 cal/min
Time= 1 min
Calorie =.?
Rate = Calorie /time
5 = Calorie /1
Cross multiply
Calorie = 5 x 1
Calorie = 5
Therefore, Raquel burns 5 calories in 1 minute while hiking.
We buy these products for $50.00 and then sell them for $67.00. That means that our price markup is?
That means our price markup is $67.00-$50.00=$17.00
The markup price is 34%.
It is given that cost price of the products is $ 50 and selling price of the product is $ 67.
To find the markup price.
What is Profit and loss?The profit and loss statement is a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period.
Thus, the markup in the price = [tex]\frac{S.P-C.P}{C.P} *100[/tex]
=[tex]\frac{67-50}{50} *100[/tex]
= 34[tex]%[/tex]%
So, the markup price is 34%.
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What two nonnegative real numbers with a sum of 23 have the largest possible product?
The two number with the largest product would be the two numbers closest together.
Divide 23 in half:
23/2 = 11.5
Use the whole numbers on each side of 11.5, so you have 11 + 12 = 23
Multiply: 11x 12 = 132