Answer:
x = -4, 4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Rewrite 16:
[tex]x^2-4^2=0[/tex]
The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:
[tex](x+4)(x-4)=0[/tex]
The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:
[tex]x+4=0\\x=-4[/tex]
[tex]x-4=0\\x=4[/tex]
Therefore, the solutions are -4 and 4.
I hope this helps!
Can someone please help?
A survey was done on the number of people in eachcar leaving a Shopping
Centre. The results are summarised in the following table:
Number of People
in Each Car
Frequency
1
45
2
198
3
121
4
76
5
52
6
13
a. What is the Mode number of people in each car?
b. What is the Median number of people in each car?
c. What is the Mean number of people in each car? Give your answer to 1
decimal place.
Answer:
a) Mode number = 2
b) Median = 64.5 = 4 people in car as 0.5 in 64.5 is close to 76
= 4 people
c) Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with = 3 people
Step-by-step explanation:
45 is 1
198 is 2
121 is 3
76 is 4
52 is 5
13 is 6
Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.
Median is shown in the answer as we add up.
Mean we add up all frequency and divide by the amount of subjects = 6.
a) Mode number = 2
b) Median = 13, 45, 52, here 76, 121, 198 mid number between
= (76-52 )/ 2 + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number
median = 64.5 in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.
c. Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with 3 seats
For cumulative frequency we can relist numbers like this
45
45 +198 = 243
243 + 121 = 364
364+76 = 440
440 + 52 = 492
492+13 = 505 to plot graph.
But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.
Three stores have the same mp3 player
for sale. The regular price of the player is
$50. Store A is offering the player on sale
at 15% off the regular price. Store B is
offering a $10 coupon to be deducted
from the regular price. Store C is offering
a rebate of $7.50 to purchasers. Which
store is offering the mp3 player at the
lowest cost?
A Store A
B Store B
C Store C
Store A and Store C
Answer: Store C
Step-by-step explanation:
Store A is giving 15% off. 15% of 50 is 7.5.
50 - 7.5 = 42.5
Store B $10 dollar coupon.
50 - 10 = 40
Store C is offering $7.50 back.
50 - 7.50 = 42.5
Answer is store c
Store c is giving you $10 off where the other two stores are just give you $7.50.
Hope this helps.
PLS HELP I WILL MARK BRAINLIEST
Answer:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
Step-by-step explanation:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
PLEASE PLEASE HELP ME Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic equation with its solution set.
Answer:
solution below
Step-by-step explanation:
quadratic formula (note the + before the radical is ±)
[tex]\frac{-b+\sqrt{b^2-4*a*c}}{2a}}[/tex]
Let's plug in the numbers and simply for the first one
[tex]\frac{-(-8)+\sqrt{-8^2-4*2*5}}{2*2}}=\frac{8+\sqrt{24}}{4}}[/tex]
this simplies to
[tex]\frac{8+2\sqrt{6}}{4}=\frac{4+\sqrt{6}}{2}[/tex]
Do this same process with all the other ones
Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?
Answer:
8.4%
Step-by-step explanation:
let x = interest rate
55,000(1 + x)^16 = 200,000
divide both sides by 55,000
(1 + x)^16 = 3.636
find the invese of 16
1 + x = 1.084
x = 0.084
x = 8.4
What’s the answer and how do you figure these out?
Answer:
140
Step-by-step explanation:
20x+60=30x+20
40=10x
x=4
and
20x+60
20*4+60
=140
You are offered a job as a set designer on two different movies. If company A offers to pay you $450 per week and company B offers $10 per hour, and both ask you to work 40 hours per week, which company is offering the better rate of pay
Answer:
Company A.
Step-by-step explanation:
Company A = $450
Company B = 10*40 = $400
450 > 400, company A offers a better rate of pay.
Solve for angle A with sides 6,10,9
Answer:
c = 13.52 units.
Step-by-step explanation:
So for this, lets use the Law of Sines, which says that:
Sin A / a = Sin B / b = Sin C / c
We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.
180 - 80 - 33 = 67 degrees
With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines
Sin A / a = Sin C / c
sin 33/8 = sin 67/c
c = 8*sin67 / sin 33
c = 13.52 units.
Identify which property is used for: 62 x (-10) = (-10) x 62 *
Answer:
Commutative property of multiplication
Step-by-step explanation:
Properties of Multiplication:
Commutative:
Multiplying two or more factors in a different order.
ex: 2 x 4 x 5 = 2 x 5 x 4
Associative:
Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.
ex: (13 x 4) x 25 = 13 x (4 x 25)
Distributive:
Distributing a multiplicand to factors in parenthesis.
ex: 2(4 - 1) = 2(4) - 2(1)
ex: 2(8+7) = 2(8) + 2(7)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elements a; b such that a < b and b is a multiple of a.
Answer:
Minimum possible K = 307
Step-by-step explanation:
Attached below is the detailed solution
Given set { 1, 2 , .......... 2022 }
The largest subset will contain prime numbers because they are not multiples of any number but 1
2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon
How many quarts are equal to 8 cups?
Answer:
Your answer is 2.
plsss help i’m in 7th grade!!
Answer:
Step-by-step explanation:
2a+b^3
2*5.6+(2)^3
11.2+8
19.2
Answer:
19.2
Step-by-step explanation:
2(5.6)+2^3
11.2+8
19.2
at what rate will £420 yield £
£70 in 4 years
Answer:
4.16%/ year
Step-by-step explanation:
What is the value of -(-9)?
Explain your reasoning.
Answer:
-(-9) is 9
Step-by-step explanation:
-(-9)
(when there are two negatives multiplyed with eachother, the product will be postive)
+ 9
+ 9 = 9
- ( - 9 ) =
( - 1 ) × ( - 1 × 9 ) =
( - 1 ) × ( - 1 ) × ( 9 ) =
( + 1 ) × 9 =
1 × 9 =
9
Identify the form of the equation and two characteristics of the function's graph. y = –7x + 2 Group of answer choices Point-Slope Form m = 2 y-intercept = 2 y-intercept = -7 Slope-Intercept Form m = -7 Standard Form
Answer:
Slope intercept form with m= -7
Step-by-step explanation:
Slope intercept form is y=mx+b
where m=slope and b=y-intercept
so
y=-7x+2
Slope (m)= -7
y-intercept = 2
help :> me no understand
Answer:
3!!!!!!! ans is 3 ok mark brainluest
A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (3.9%, 7.3%). What is the point estimator of the mean percentage of reservations that are canceled on the day of the flight? 3.65% 5.60% 1.70% 3.4%
======================================================
Work Shown:
Find the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%
The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%
We have to determine the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
What is the formula for the midpoints?C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is
B-C = 7.3-5.6
B-C= 1.70%, or you could say
C-A = 5.6 - 3.9
C-A= 1.70%
Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.
To learn more about the midpoint visit:
https://brainly.com/question/5566419
#SPJ2
jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 5 gallons of water. Six minutes later, the tank contains 3 gallons of water
Answer:-2/3 gallon per minute
-2/3 gallon per minute
Step-by-step explanation:
1000 tickets were sold . Adult tickets cost 8.50 , children’s cost 4.50 and total of 7300 was collected. How many tickets of each kind were sold ?
Help ASAP! Picture above easy 6th grade math
Answer:
c and e is your answers
Step-by-step explanation:
Hope it helps :3
according to data given in this table find percentage of absentees on friday
plz solve it CORRECTLY step by step
Answer:
[tex]\%Absent = 80.20\%[/tex]
Step-by-step explanation:
Given
The attached data
Required
%Absentee on Friday
First, calculate the total present
[tex]Present = 42 + 36 + 40 + 36 + 38[/tex]
[tex]Present = 192[/tex]
Calculate the %Present on Friday
[tex]\%Present = \frac{Friday}{Present} * 100\%[/tex]
[tex]\%Present = \frac{38}{192} * 100\%[/tex]
[tex]\%Present = \frac{3800}{192}\%[/tex]
[tex]\%Present = 19.80\%[/tex]
Using complement rule:
[tex]\%Absent = 100\% - \%Present[/tex]
[tex]\%Absent = 100\% - 19.80\%[/tex]
[tex]\%Absent = 80.20\%[/tex]
Solve for x. 4x2 = 324
Answer:
=−9
=9
Step-by-step explanation:
4
2
=
3
2
4
4x^{2}=324
4x2=324
4
2
−
3
2
4
=
04
2
−
3
2
4
=
0
4x^{2}-324=0
4x2−324=0
4
(
2
−
8
1
)
=
04
(
2
−
8
1
)
=
0
4(x^{2}{\color{#c92786}{-81}})=0
4(x2−81)=0
4
(
2
+
9
−
9
−
8
1
)
=
0
Happy To Help!If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
20 / 12 = 5 / y
y = 5 × 12 / 20
y = 60 / 20
y = 3
It is random outfit day. You have 3 tops: green, white, and yellow. You have 2 pairs of pants: blue and black. You have 2 pairs of shoes: boots and sandals. What is the probability that you will wear a green shirt with blue pants and boots
Answer:
1/12
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that you have 3 tops: green, white, and yellow, the probability of you wearing a green shirt p(g)
= 1/3
since you have 2 pairs of pants: blue and black, the probability of you wearing a blue pant p(b)
= 1/2
And you have 2 pairs of shoes: boots and sandals, the probability of you wearing a pair of boots p(bo)
= 1/2
Hence the probability that you will wear a green shirt with blue pants and boots
= 1/3 * 1/2 * 1/2
= 1/12
what do you call a vacation trip for 27 physicians! INEED THIS WORKSHEET WITH ANSWERS NOW PLS!!!!!!
Answer:
Doc Tour
Step-by-step explanation:
Answer:
Doc-Tour
Step-by-step explanation:
Need help with this question 20 points
Answer:
As x → ∞, f(x) → ∞
As x → -∞, f(x) → 3
Step-by-step explanation:
This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.
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)
What is the angle of elevation to the top of a 45 foot building from 85 feet away?
Round your answer to the nearest tenth.
•31.9°
•58.1°
•27.9°
•62.1°
Answer:
58.1
Step-by-step explanation:
Which answers I should have to answer
Given:
The table of point scored in 5 games.
After game 6, the mean number of points scored per game is 9.
To find:
The points scored by Maya in game 6.
Solution:
Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:
[tex]Sum=8+12+10+6+14+x[/tex]
[tex]Sum=50+x[/tex]
We know that, the formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
So, the mean number of points scored per game is:
[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]
It is given that the mean number of points scored per game is 9.
[tex]\dfrac{50+x}{6}=9[/tex]
[tex]50+x=9\times 6[/tex]
[tex]x=54-50[/tex]
[tex]x=4[/tex]
Therefore, the correct option is A.