Answer:
True
Step-by-step explanation:
Three standard deviation from the mean value of distribution of x comprises of 99.7 % of the values of a given set of data.
However, 68% of the data lies with in one standard deviation
while 95% percent of the data lies within two standard deviations
99.7% is approximately 100% of the observed occurrences.
Hence, given statement is true
Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.
what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent
Answer:
A = $1311 and 96cents
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5
[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]
What is the value of X equal?
Answer:
113º
Step-by-step explanation:
(x + 14) + (180 - 83) + x + 90 + x = 540
3x + 201 = 540
3x = 339
x = 113
Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52?
Answer:
X + (X + 2) = 52
Step-by-step explanation:
Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:
X + (X + 2) = 52
2X + 2 = 52
X = (52 - 2) / 2
X = 50/2
X = 25
X + 2 =?
25 + 2 = 27
Therefore, the consecutive odd integers are 25 and 27.
Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?
Answer:
Corey have a better score on his math test
Step-by-step explanation:
13/15 = 86%
17/20 = 85%
turn the scores into percentage and you will get the answer
The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost
Answer Answer:
The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.
Step-by-step explanation:
Check answer
Write the numbers in order from least to greatest. *
1 point
Captionless Image
1/4; 0.4; 0.55; 3/5
0.4; 1/4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
3/5; 0.4; 1/4; 0.55
Answer:
1/4; 0.4; 0.55; 3/5
0.25, 0.40, 0.55, 0.60
Already in order.
0.4; 1/4; 0.55; 3/5
0.40, 0.25, 0.55, 0.60
1/4; 0.4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
0.25, 0.60, 0.40, 0.55
1/4; 0.4; 0.55; 3/5
3/5; 0.4; 1/4; 0.55
0.60, 0.40, 0.25, 0.55
1/4; 0.4; 0.55; 3/5
some please help i’ll give brainliest
Answer:
Statement Reason
∠1 = ∠2 Given
AP = BP Given
∠APD = ∠BPC Vertical angles
Therefore, by ASA , ΔAPD ≅ ΔBPC
What is 0.08 written as a percent?
8%
0.8%
0.08%
80%
HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant
Rewrite the expression in the form
I need help fast plz
You don’t need to show work
Step-by-step explanation:
uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw
3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).
Answer:
See belowStep-by-step explanation:
Given:
Points (- 3,3) and (3,1) on a circler = 5i.
There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.
ii.
Let the points are A and B and the centers of circles are F and G.
The midpoint of AB, the point C is:
C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)The length of AB:
AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]
The distance FC or GC is:
FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]Possible coordinates of center are (h, k).
We have radius:
(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25Comparing the two we get:
(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²Simplifying to get:
k = 3h + 2We consider this in the distance FC or GC:
h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5Then k is:
k = 3√1.5 + 2 ork = -3√1.5 + 2So coordinates of centers:
(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)-------------------------------------------------------------------------------------
b.
Diameters:
x - y - 4 = 02x + 3y + 7 = 0The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:
x = 1, y = -3The point (2, 4) on he circle given.
Find the radius which is the distance between center and the given point:
r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]The equation of circle:
(x - 1)² + (y + 3)² = 50Find the inverse function of the function f(x) = 5x/7
f-(x) = -7x/5
f-'(x) = – 5x/7
f-l(x) = 5x/7
f-'(x) = 7x/5
What is the distance between points W
and X to the nearest hundredth?
AY
8
W
4
х
-8
-4
o
4
00
-4
-8
*
0 24
O 16.97
8.49
O 12
Answer:
Step-by-step explanation:
W=(-6,4)
X=(6,-8)
here, x1=-6 , y1=4 , x2=6 , y2=-8
use formula
[tex]\sqrt{)x2-x1)^2+(y2-y1)^2}[/tex]
[tex]\sqrt{(6+6)^2+(-8-4)^2}[/tex]
[tex]\sqrt{12^2+(-12)^2[/tex]
[tex]\sqrt{144+144[/tex]
[tex]\sqrt{288[/tex]
16.97
Prodigy
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Find the Volume.
10 points
7 m
5 m
4 m
Answer:
140 m^3 = 7 x 4 x 5
Step-by-step explanation:
Volume = H * W * L
Express 75cm/s in m/s
Step-by-step explanation:
75 cm/s
75/100 m/s
0.75 m/s
(SINCE 100 CM =1M-------75 CM=75/100M)
Select the correct answer.
Which function is the inverse of function
f(x) = -2
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
What is perimeter of 300 315 55
Help me PLEASEEEEEEEEEEEEE
Answer:
Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]Step-by-step explanation:
Given,
Gallon of juice drank in 5 weeks = 4
Therefore,
Gallon of juice drank in 1 week
[tex] = \frac{4}{5} (ans)[/tex]
What is the first term of a 14-term arithmetic sequence where the last term is −12 and the sum is 42?
A. 6
B. 7
C. 13
D. 18
please explain answer
=========================================
Work Shown:
Here are the variables we're working with
a = first termb = last term (aka nth term)n = number of termsS = sum of the first n termsIn this case, we know that
a = unknown (what we want to solve for)b = -12 n = 14S = 42We can use this formula to help find the answer
S = (n/2)*(a+b)
This formula only works for arithmetic sequences
So,
S = (n/2)*(a+b)
42 = (14/2)*(a+(-12))
42 = 7(a-12)
42/7 = a-12
6 = a-12
6+12 = a
18 = a
a = 18 is the first term of this arithmetic sequence
That's why the answer is choice D.
-----------
Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.
What is the volume of the rectangular prism?
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
What is the degree of the polynomial below?
7x^5+6x^3+ 4x + 2
A. 0
B. 3
C. 1
D. 5
Reason: It's the largest exponent
When a polynomial is written in standard form like this, the term with the largest exponent is written first, then the next largest and so on. So in cases like this, we simply need to look at the left-most term; however, this may not always be the case as your teacher could easily mix up the terms to make sure you're paying attention.
This is considered a quintic polynomial due to the degree of 5.
Please help me with this please
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
What is the area of figure below?
===========================================
Work Shown:
A = area of trapezoid
A = height*(base1+base2)/2
A = 9*(16+10)/2
A = 9*26/2
A = 9*13
A = 117
---------
B = area of triangle
B = base*height/2
B = 6*8/2
B = 48/2
B = 24
----------
C = area of entire figure
C = A+B
C = 117+24
C = 141 square inches
We can write "sq in" or "in^2" as shorthand for "square inches".
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
I don't know what the answer is.
Answer:
C.) 87
Step-by-step explanation:
if you look at it from the other side, its counting down from 91 from the left.
Answer: 87
No explanation :)
if m<1=25 what is the measure of an angle that is complementary to <1
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
Which shape has the same area as this one?
PLease i need help ;-;
Answer:
purple and red has same area
Step-by-step explanation:
Area of purple = 4 x 4 = 16 square cm
Area of red = 2 x 8 = 16 square cm
Area of yellow = 3 x 5 = 15 square cm
Plz help me well mark brainliest if correct!!..
Answer: A/The LINE graph
Step-by-step explanation:
Please help I am super confused and would really appreciate it ♥️♥️♥️♥️
x---- independent variable
f(x)--- dependent variable(can also be "y")
The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.
Ok... Lemme explain
Say you have an equation
f(x)=2x+1
let x be take value from all natural Numbers (1,2,3..….)
When x is 1
f(x) = f(1) = 2(1)+1
=3
when x is 2
f(x)=f(2) = 2(2)+1 =5.
So for every x value... There's a unique value for f(x).
You dig?
Now
let's proceed to your question.
We're already given tbe values of x and f(x)
What we now need to find is the equation that corresponds to the values being gotten
From the table
When x =1 ...….f(x)=8
When x=2 .........f(x) = 32
When x=3 ...........f(x)=128
Etc
Which equation from the options will give you these values of f(x)???
You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).
Fun right?
OK. From Observation....
OPTION A WILL DO THE JOB.
f(x)=2.4^t where "t" represents x in this case.
Input your values of x in this
You'll get the exact f(x) value
Eg
when x= 1... f(x)= 2.4¹ =8
x=2 ..….f(x) = 2. 4² = 2.16 = 32.
OPTION A IS OUR ANSWER.
HAVE A GREAT DAY BRO!