Answer:
1428
Step-by-step explanation:
1700x0.04=68 (How much the car will decrease per year)
68x4=272 (How much the car will decrease in four years)
1700-272=1428 (Value of car in four years)
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.
Because some of the athletes participated in more than one event.
Dave collects model trains. So far he has 23 distinct train cars. How many ways can he put 7 cars together? = Answer 23 PAnswer 7 =23!(23−7)! =23!16! = Answer 23 ⋅ Answer 22 ⋅21⋅20⋅19⋅18⋅ Answer 17 = Answer
Answer:
He can put 7 cars together in 245,157 ways.
Step-by-step explanation:
The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
23 distinct train cars. How many ways can he put 7 cars together?
Combinations of 7 from a set of 23. So
[tex]C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157[/tex]
He can put 7 cars together in 245,157 ways.
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.
Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table
answers to 4 decimal places.)
a. P(Z > 1.12)
b. P(Z S-2.35)
c. POSZ s 1.34)
d. P(-0.8 sz s 2.44)
Answer:
Step-by-step explanation:
a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569
b. P(Z S-2.35) => P(Z <= 2.35) = 0.009386706
(please check interpretation of question b)
c. POSZ s 1.34) => P(0 <= Z <= 1.34) = 0.9098773 - 0.5 = 0.4098773
(please check interpretation of question c)
d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801
(please check interpretation of question d)
The probabilities of the standard normal variable are 0.1313, 0.009386, 0.4098773, and 0.780801.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The probability of the following standard normal variable will be given by the z-score table.
a. P(z > 1.12) = 1 - P(z = 1.12) = 1 - 0.8686 = 0.1313
b. P(z ≤ -2.35) = P(z < 2.35) = 0.009386
c. P(0 ≤ z ≤ 1.34) = 0.9098773 - 0.5 = 0.4098773
d. P(-0.8 ≤ z s 2.44) = 0.9926564 - 0.2118554 = 0.780801
More about the z-score link is given below.
https://brainly.com/question/13299273
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(1).
(a). 1 m ≈ 3.28 ft.
128 m ≈ 419.84 ft.
(b). 1 yd. ≈ 0.0009144 km
3910 yd. ≈ 3.58 km
(2). 1 m ≈ 0.0006214 mi.
10 000 m ≈ 6.2 mi.
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
Navin gave his brother 1/5 of his money and her sister 5/8 of the remainder. Navin remained with $12.00 (a) Calculate how much money he had at first.
Answer:
$40
Step-by-step explanation:
Fraction Navin gave his brother = 1/5
Remainder = 1 - 1/5
5/5 - 1/5 = 4/5
Fraction Navin gave his sister = 4/5 x 5/8 = 1/2
total amount Navin gave his siblings :
[tex]\frac{1}{5} + \frac{1}{2}[/tex]
[tex]\frac{2 + 5}{10}[/tex] = [tex]\frac{7}{10}[/tex]
Fraction that remains = 1 - 7/10
10/10 - 7/10 = 3/10
Let a = amount Navin has initially
3/10 x a = 12
a = (12 x 10) / 2 = $40
Estimate the product of -3.33 and 0.199 using the compatible numbers -3 and 0.2. Find the exact product of -3.33(0.199).
Answer:
-0.6
-0.66267
Step-by-step explanation:
Estimating the product :
Using compatible number :
-3 * 0.2
__ 0.2
* ___-3
______
_ - 0.6
______
-3 * 0.2 = 0.6
The exact product :
-3.33(0.199).
Using calculator :
-3.33(0.199) = - 0.66267
Answer:
-0.66267
Your. Welcome
Help please!
Brainliest + 20 points
Answer:
im not sure but pls gimme brainlyist bc im a dum dum
Step-by-step explanation:
Which are solutions to the system of equations? Select all that apply
{y=4x
y=4x^2+4x-1
A (1/2,2)
B.(-1/4,-1)
C. (-1/2,-2)
D. (1/4,1)
Answer:
A, C are both solutions
Step-by-step explanation:
B will not work because:
-1 = 4(-1/4)² + 4(-1/4) - 1
-1 = 1/4 - 1 - 1
-1 ≠ -1 3/4
D will not work because:
1 = 4(1/4)² + 4(1/4) - 1
1 = 1/4 + 1 - 1
1 ≠ 1/4
I WILL GIVE YOU BRAINLIEST
ute of Change
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth,
if necessary
Answer:
1
2
0.5
Step-by-step explanation:
no links please i cant seem to find the answer for this qn
Answer:
(a) is 15
(b) is 30
75 divide by 15 times 90 divide by 15 is 30
Answer:
Step-by-step explanation:
Highest common factor of 75 and 90 will be the largest possible length of the square.
75 = 5 * 5 * 3
90 = 3 * 3 * 2 * 5
GCF = 5 * 3 = 15
Length of the side of square = 15 cm
b) Number of squares = Area of sheet ÷ Area of square
[tex]= \frac{75*90}{15*15}\\\\= 5 * 6\\\\= 30[/tex]
Total number of square = 30
According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4
Answer:
Step-by-step explanation:
According to exponent rules, when we multiply two power with the same base we ADD the exponents.
[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]
Please help if you know how to solve it
Thank you!
Answer:
opsihsjijjakih
Step-by-step explanation:
jiompzjksuik
Ms.Jane runs a boutique in Jumeirah. She bought 50 m cloth to stitch shirts for her boutique.If one shirt requires 2m 15cm of the cloth then
Answer: 23 shirts
Step-by-step explanation:
Given
Ms. Jane bought 50 m cloth to stitch shirts
If one shirt requires 2m and 15 cm cloth i.e. [tex]2+0.15=2.15\ m[/tex]
No of shirts that can be made using 50 m cloth
[tex]\Rightarrow \dfrac{50}{2.15}=23.25\approx 23\ \text{Shirts}[/tex]
Therefore, Ms. Jane can made 23 shirts from 50 m cloth.
Pls answer both Pls pls
Answer:
bjkfkvdvdejij
Step-by-step explanation:
22333444 ijdcijsivjdivdvndk snciscicicnlvjavjadvj
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
Line AB = line AC
Write down the size of
a) angle BAC
b) angle ABC
c) angle ADC
d) angle COB
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
Can someone check tell me why 1) is correct and why 2) is incorrect?!
Willing to give brainliest
Answer:
1) yes
2) no
Step-by-step explanation:
1)
[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]
This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.
2)
[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]
[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]
This is incorrect because the numerator multiplied is different from the denominator multiplied.
-------------------------------
[tex]\frac{1}{2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...
Sorry I didn't know how to explain that much but I hope you understand.
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.
Answer:
y = 5x - 2
Step-by-step explanation:
How many solutions exist for the system of equations in the graph?
Answer:
Two solutions
Step-by-step explanation:
The number of points of intersections represents the number of solutions to the system of equations. Since the parabola intersects the circle at two points, there are two solutions to the circle.
Furthermore, these two points of intersection are exactly the solutions to the system of equations. Finding the coordinates of the points of intersection will give you the solutions to the system of equations.
For EASY BRAINLIEST!!!
Answer that question
Step-by-step explanation:
my answer is in the image above
Find the slope of each side of this quadrilateral and use that information to explain why it is a rectangle
8
BI
Your answer might look like this (you can 'copy-paste' the sentences below and fill in the blanks)
The slope of the side BA is The slope of the side BC is_-
The slope of the side BA is__ The slope of the side AD is_
The slope of the side CD is
The slope of the side AD is_
The slope of the side CD is
The slope of the side BC is
Finding the slopes tell me that this quadrilateral is a rectangle because_
Step-by-step explanation:
the answer is in the above image
What is the slope-intercept form of the equation representing this function?
Answer:
y = 3x - 7
Step-by-step explanation:
The line rises 3 in y for every run of 1 in x
slope = 3
The y-intercept
is -7
Therefor
y = 3x - 7
140 divided by 8960 please I need to know.
The value will be 64 when the number 8960 is divided by 140.
What is division?A procedure of dividing anything into equal halves is called division. It is one of the four fundamental operations in math. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given numbers are 8960 and 140. To calculate the quotient divide the number 8960 by 140.
The given number can be divided as below:-
140 ) 8960 ( 64
-840
___________
560
-560
___________
000
Therefore, the value will be 64 when the number 8960 is divided by 140.
To know more about division follow
https://brainly.com/question/25289437
#SPJ2
Determine where the PHD Mathematicians live.
The Mathematicians who live within the enclosure made by
the parabola
y = x2 +2x-3
and the line
y = -x + 1
have all earned their PHD in Mathematics. The following mathematicians live at the following coordinates:
Annie Easley:
Benjamin Banneker:
Fan Chung
Joan Clarke
A (-3,5)
B (6, 5)
C (5,5)
D(-1,-3)
Sophie Germain
Elbert Frank Fox:
Emmy Noether
Jama Musse Jama:
E (3,6) David Blackwell:
F (-2,-2) Mary Somerville:
G (-1,-4) Grace Hopper:
H(-6,8) Nalini Joshi
I (-1, -1)
J (3,-2)
K(-1,-2)
L (0, -1)
a) Plot the points given above on the grid. *Label each point with the given letter
b) Graph the line
y = -x + 1
Slope=__: y-intercept=
c) Factor and then find the x-intercepts.
y=x2+2x-3
Answer:
the answer to A,B,C
Step-by-step explanation:
all the points are on the graph
all answers
b) slope -1
intercept 1
c)(x+3)(x-1)
intercepts (-3,0),(1,0)
vertex (-1,-4)
Help mark complete the pairs of expressions
what is the value of w to the nearest degree
Find the distance between the pair of points given on the graph.
Answer:
√74
Step-by-step explanation:
49 + 25
if brainly deletes this answer, i swear this community is going down in the dumps
Answer:
[tex]\sqrt{74}[/tex] = 8.6
Step-by-step explanation:
use distance formula
points are (4,2) and (-3,-3)
d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]
substitute points into formula
What is the solution to the system of equations graphed below? Pls Quick