Answer:
2.222.........
Step-by-step explanation:
10 : 90
x : 20
cross multiply
10 x 20 = 90x
200 = 90x
both divide by 90
x = 2.2222.......
A study of parents of kindergarteners included 349 parents who were chosen at
random. Of these parents, 47% said they sent their children to pre-kindergarten. School
records show that only 31% of parents of kindergarteners sent their children to pre-
kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic
Forty-seven percent is the parameter and 31% is the statistic
Forty-seven percent is the statistic and 31% is the parameter
Answer:
Forty-seven percent is the statistic and 31% is the parameter
Step-by-step explanation:
Various terms are used in mathematics when it comes to carrying out particular studies in statistics.
A) Parameter
A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.
B) Statistic
Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.
In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.
According to the definition of Parameter and Statistic that I explained above,
A) The Parameter is 31% . This is
because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.
B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.
Please answer ASAP. The question is down below
Answer: A
Step-by-step explanation:
Notes: Dividing by a fraction means to multiply by its reciprocal.
The denominator cannot equal zero.
[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]
Hi can someone help me with these 3 questions. Thanks :)
Answer:
a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2
b) 120°
c) sin = -1/2 = -30° or 330° both are same
Use the trig circle which i have included in the answer to better understand trig angles
hope that answers your question
I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.
good luck!!
Use the point slope formula…
Answer:
y = 3x + 7
Step-by-step explanation:
When lines are parallel, the slope is the same but the y-intercept is not
The blue line is the graph for y = 3x + 2
The slope for the line is 3/1
So the slope for the line containing (-2,1) should be 3/1
I plotted (-2,1) and used the Rise/Sun (3/1) to find a point on the y-axis, the teal point.
I graphed the line in yellow
In y=mx + b, b = 7, and mx = 3x
So the equation is y = 3x + 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Mildred’s salary has increased from £24,600 to £25,338. By what percentage has her salary increase?
Answer:
The answer is 3%Step-by-step explanation:
To find the percentage increase we use the formula
[tex]Percentage \: change = \frac{ change}{original \: quantity} \times 100[/tex]
To find the change subtract the smaller quantity from the bigger one
From the question
original price = $24,600
Current price = $ 25,338
Change = $25,338 - $ 24,600
Change = $ 738
So the percentage increase is
[tex] \frac{738}{24600} \times 100[/tex]
[tex] = \frac{3}{100} \times 100[/tex]
We have the final answer as
Percentage increase = 3%Hope this helps you
Which inequality is represented by the graph?
Answer:
It will be -5≤×≤4
For each of the following paralellogram calculate the unknown angles marked. x, y and z
Answer:
x = 50°, y = z = 40°
Step-by-step explanation:
x = 50° ( Alternate angle )
z = 180° - (110 + 30)° = 180° - 140° = 40° ( sum of angles in Δ )
y = z = 40° ( Alternate angles )
a man bought a car for 8500 GH cedis and he later sold it at for 9500. find his percentage gain
Answer:
11.7647059 % gain
Step-by-step explanation:
To find the gain, take the new amount and subtract the original amount
9500-8500 = 1000
Divide by the original amount
1000/8500=.117647059
Multiply by 100% to get in percent form
11.7647059 % gain
evaluate 5!+2!. Thank you!
Answer:
122
Step-by-step explanation:
5!=5 x 4 x 3 x 2 x 1 = 120
2!=2 x 1 = 2
120+2=122
Does this graph show a function? Explain how you know.
O A. Yes; there are no y values that have more than one x-valuer
O B. No, there are y-values that have more than one x-value.
O C. Yes, the graph passes the vertical line test.
O D. No, the graph fails the vertical line test. SUBMIT
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Explain what each of them is.
Answer:
What are natural numbers?the positive integers or whole numbers include 1, 2, 3, and etc. sometimes zero.
What are whole numbers?Whole numbers are 0, 1, 2, 3, 4, 5, 6. Whole numbers include positive integers along with 0.
17, 99, 267, 8107 and 999999999 are examples of whole numbers.
What are rational numbers?A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333
What are irrational numbers?A real number that can NOT be made by dividing two integers (an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number.
Example: π is an irrational number.
What are real numbers?The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2.
Included within the irrationals are the transcendental numbers, such as π
How do you solve 23?
Problem 22
You have the correct answer since there are 9 non-white socks out of 15 total.
========================================================
Problem 23
Answer: A) 7/20------------------------
Explanation:
We have 10 blue marbles and 10+4+5+6 = 14+11 = 25 marbles total
This means there are 25-10 = 15 non-blue marbles.
The probability of selecting a non-blue marble is 15/25. I won't reduce this as we'll use this fraction to set up the next probability.
Because the marble is not replaced, this means we go from 15 non-blue marbles to 15-1 = 14 non-blue marbles. We also go from 25 total marbles to 25-1 = 24 total.
In short, the fraction 15/25 turns into 14/24 after subtracting 1 from each part.
--------------
Let's reduce each fraction mentioned
15/25 = (3*5)/(5*5) = 3/5
14/24 = (2*7)/(2*12) = 7/12
Then we'll multiply the two reduced fractions
(3/5)*(7/12) = (3*7)/(5*12) = 21/60
Lastly, we'll reduce that result
21/60 = (3*7)/(3*20) = 7/20
The probability of selecting two marbles that aren't blue is 7/20. This is done without replacement.
--------------
As a shortcut, we could say:
(15/25)*(14/24) = 7/20
3(q−7)=27 need help plzz 1st peep gets brainlest
━━━━━━━☆☆━━━━━━━
▹ Answer
q = 16
▹ Step-by-Step Explanation
3(q - 7) = 27
3q - 21 = 27
Add 21 to both sides:
21 + 21 = na
27 + 21 = 48
3q = 48
Divide both sides by 3:
3/3 = q
48/3 = 16
q = 16
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
q=16
Step-by-step explanation:
3q-21=27
27+21=48
48/3=16
A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?
Answer:
Step-by-step explanation:
The continuous compound formula is
[tex]y=Pe^{rt[/tex] where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:
[tex]y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09[/tex]
which would probably round to just 3848 people.
What is the measure of m?
6
3
18
n
m =
=
[?]
Answer:
6/n = n/18
n^2 = 108
n = sqrt 108
a^2 + b^2 = c^2
36 + 108 = m^2
144 = m^2
m=12
Let me know if this helps!
NEED HELP..... Select the polynomial that is a perfect square trinomial. 36x^2 − 4x + 16 16x^2 − 8x + 36 25x^2 + 9x + 4 4x^2 + 20x + 25
===============================================
Explanation:
Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2
So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.
Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.
-------------
(a+b)^2 = a^2+2ab+b^2
(2x+5)^2 = (2x)^2+2*2x*5+5^2
(2x+5)^2 = 4x^2 + 20x + 25
Answer:
(2x+5)² or (2x+5)(2x+5)
Step-by-step explanation:
4x²+ 20x + 25
(2x ) (2x ) first step 2x*2x=4x²
(2x + 5 )(2x + 5 ) the constant sign is plus so it can be ( minus × minus=plus OR plus×plus=plus) look at the middle value it is positive so the two signs are positive or plus sign.
(2x+5)²
A pendulum's height is modeled by the function h(t) = 4 cos(pi/4*t) + 8 where h is the
measure of the pendulum's height in feet and t is the number of seconds since the
maximum height. How many seconds does it take the pendulum to complete one
full swing?
===========================================================
Explanation:
The general cosine template is
y = A*cos(B(t - C)) + D
where in this case
A = 4B = pi/4C = 0D = 8We only really need to worry about the B value. To get the period T, we do the following
T = 2pi/B
T = (2pi)/(pi/4)
T = 2pi * (4/pi)
T = 8
Note how the pi terms canceled. The period is 8 seconds, which is the length of one full cycle. This is the time it takes for the pendulum to do one full swing (eg: start at the right, swing to the left all the way, then swing back to the right again).
The result of 8 we got has nothing to do with the D = 8 value (this D value could be any other number and T = 8 would still be the case as long as B doesn't change of course).
Two angles form a
linear pair. The
measure of one
angle is three times
the measure of the
other. Find the
measure of each
Answer:
45° and 135°
Step-by-step explanation:
A linear pair of angles sum to 180°
let one angle be x , then the other is 3x ( 3 times the other ), thus
x + 3x = 180
4x = 180 ( divide both sides by 4 )
x = 45
Thus the 2 angles are
x = 45° and 3x = 3 × 45° = 135°
The measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Two angles form a linear pair. The measure of one angle is three times the measure of the other.
As we know,
If two angles form a linear pair it means the angle made by the pair is 180 degrees
Let the two angles are x and y
x + y = 180
x = 3y (one angle is three times the measure of the other)
Solving the two linear equations in two variable:
3y + y = 180
4y = 180
y = 180/4
y = 45 degrees
x = 3(45) = 135 degrees
Thus, the measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ2
A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A shell of mass 8.0-kg leaves the muzzle of a cannon with a horizontal velocity of 600 m/s. Find the recoil velocity of the cannon, if its mass is 500kg.
Answer:
velocity of recoil velocity of cannon is -9.6 m/sec
Step-by-step explanation:
according to law of conservation of momentum
total momentum of isolated system of body remains constant.
momentum = mass of body* velocity of body.
__________________________________
in the problem the system is
shell + cannon
momentum of shell = 8*600 = 4800 Kg-m/sec
let the velocity of cannon be x m/sec
momentum of cannon = 500*x = 500x Kg-m/sec
initially the system of body is in rest (before the shell is fired) hence, total momentum of the system i is 0
applying conservation of momentum
total momentum before shell fired = total momentum after the shell is fired
0 = momentum of shell + momentum of cannon
4800 + 500x = 0
x = -4800/500 = -9.6
Thus, velocity of recoil velocity of cannon is -9.6 m/sec
here negative sign implies that direction of velocity of cannon is opposite to that of velocity of shell.
how do you solve this problem ? 4(-3x+1)-3x=71
Answer:
x = -67/15 = -4-46667
Step-by-step explanation:
4(-3x+1) - 3x = 71
4*-3x + 4*1 - 3x = 71
-12x + 4 - 3x = 71
-15x = 71-4
-15x = 67
x = 67/-15
x = -4.46667
check:
4(-3*-4.46667 + 1) - 3*-4.4666= 71
4(13.4+1) + 13.4 = 71
4*14.4 + 13.4 = 71
57.6 + 13.4 = 71
I need help ASAP!!! Please explain how to solve the problem I am stuck
Answer:
( x - 11 )^2 + ( y - 5 )^2 = 4^2
Step-by-step explanation:
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
We have,
r=4
(h,k)=(11,5)
( x - h )^2 + ( y - k )^2 = r^2
or, ( x - 11 )^2 + ( y - 5 )^2 = 4^2
If you simplify,
x^2-22x+121+y^2-10y+25=16
or, x^2+y^2-22x-10y+146-16=0
or,x^2+y^2-22x-10y+130=0
Answer:
( x - 11 )^2 + ( y - 5 )^2 = 4^2
Step-by-step explanation:
In the diagram of the right triangle shown find the value of c.
Answer:
Hey there!
20^2+25^2=c^2
400+625=c^2
1025=c^2
Square root 1025 is the correct answer, so option C.
Let me know if this helps :)
Answer: B
Step-by-step explanation:
19. the first side of a triangle measures 4in less than the second side, the third side is 3 in more than the first side, and the perimeter is 15 in. how long is the third side
please help it’s late and i already started the test and my head hurts
Answer:
the third side is 5 2/3 in.
s - 1
Step-by-step explanation:
a = side 1
b = side 2
c = side 3
a + b + c = 15
a = b - 4 => b = a + 4
c = a + 3
a + a + 4 + a + 3 = 15
3a + 7 = 15
3a = 8
a = 8/3 = 2 2/3 in
b = a + 4 = 6 2/3 in
c = a + 3 = 5 2/3 in
An emu that measures 45 inches in height is 60 inches less than 5 times the height of a kakapo.
What is the height of a kakapo in inches?
The kakapo is inches tall.
Pls help me
Answer:
21 inches tall
Step-by-step explanation:
Let x represent the height of the kakapo.
Create an equation to represent this situation, and solve for x:
45 = 5x - 60
105 = 5x
21 = x
So, the kakapo is 21 inches tall.
Stevens works at a large home appliance store . He earns a base salary of $20,000 plus commission which can be modeled by the equation y = 0.1x + 20,000. What is the meaning of the y-intercept in the equation ?
Answer:
it is b or 20,000 or it is the base salary, you can put all 3 to be safe since they are all technichaly the same.
Step-by-step explanation:
so y=mx+B is the equation right here m the slope which is rise over run or y/x=.1 and B is the y inercept and 20,000 it is the starting point on the graph. where it overlaps with the y axis, in this case 20,000 which as it says earlier is his base salary
Verify the identity. cot(x - pi/2) = -tan(x)
Answer:
See below.
Step-by-step explanation:
[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]
Convert the cotangent to cosine over sine:
[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]
Use the cofunction identities. The cofunction identities are:
[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]
To convert this, factor out a negative one from the cosine and sine.
[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]
Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:
[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]
Tatenda takes ttt seconds to mow a square meter of lawn and Ciara takes ccc seconds to mow a square meter of lawn. Tatenda mows 700700700 square meters of lawn per week and Ciara mows 750750750 square meters of lawn per week. Which expressions can we use to describe how many more seconds Tatenda spends than Ciara spends mowing lawns during 444 weeks? Choose 2 answers: Choose 2 answers: (Choice A) A 4(750c-700t)4(750c−700t)4, left parenthesis, 750, c, minus, 700, t, right parenthesis (Choice B) B 3000c+2800t3000c+2800t3000, c, plus, 2800, t (Choice C) C 2800t-3000c2800t−3000c2800, t, minus, 3000, c (Choice D) D 4(700t-750c)4(700t−750c)4, left parenthesis, 700, t, minus, 750, c, right parenthesis (Choice E) E 4(700t+750c)4(700t+750c)
Answer:
C.) 4(750c-700t) ; D.) 2800t - 3000c
Step-by-step explanation:
Time taken :
Tatenda = t sec/m^2
Ciara = c sec/m^2
Tatenda = 700m^2 per week
Ciara = 750m^2 per week
Which expressions can we use to describe how many more seconds Tatenda spends than Ciara spends mowing lawns during 4
Total Time taken over four weeks :
Tatenda = 4(t * 700) = 4(700c)
Ciara = 4(c * 750) = 4(750c )
Number of seconds Tatenda spends more than Ciara : meaning Tatenda spends more seconds than
Tatenda - Ciara
4(700t) - 4(750c) = 4(700t - 750c)
4(700t - 750c)
Or
4(700t - 750c) = 2800t - 3000c
2800t - 3000c
Could you help with maths please? All shown on the picture :)
Answer:
4 is tenths (a) and 5 is hundredths (b)
Step-by-step explanation:
Now, 0.45
0 indicates the ones place (it comes before the decimal)
0.45 can also be written as:
0.4+0.05
= 4/10+5/100
what can we conclude from this?
we can say that 4 is in the tenths whilst 5 is in the hundredths.
therefore, a is 4 and b is 5.
Hope this helps you! :)
A book cost Rs.950 is sold for Rs 980. find profit/loss%
Answer:
96.94%
Step-by-step explanation:
Steps to solve "what percent is 950 of 980?" If you are using a calculator, simply enter 950÷980×100 which will give you 96.94 as the answer.
Answer:
96.94%
Step-by-step explanation: