Answer:
[tex]\boxed{\sf \ \ age = 10\ \ }[/tex]
Step-by-step explanation:
Hello,
let's write the mean computation, we note x the age of the additional person
[tex]\dfrac{14+14+18+18+22+x}{6}=16[/tex]
[tex]<=> 14+14+18+18+22+x = 6*16=96\\\\<=> x = 96 - ( 14+14+18+18+22)= 10[/tex]
So the age of the person is 10
hope this helps
helpp i cant understand this question
-12.48 -(-2.99)-5.62
Answer:
[tex]-15.11[/tex]
Step-by-step explanation:
[tex]-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11[/tex]
Answer:
-15.11
Step-by-step explanation:
-12.48+2.99-5.62=
-9.49 - 5.62= - (9.49+5.62)=-15.11
Estimate the area of the circle equal three decimal 14 round to the nearest hundredth if necessary9
Answer:
49π m² or 153.94 m²
Step-by-step explanation:
Area of a circle: A = πr²
We are given r as 7, so simply plug it in
A = π(7)^2
A = 49π m²
What is the answer?
Answer:
C. 2.75P
Step-by-step explanation:
The original value was P.
It increased by 275%. That means it increased by 275% of P.
275% of P = 2.75P
The increase in value is 2.75P.
Now we add the increase to the original value of P to find today's value.
2.75P + P = 3.75P
Answer: C. 2.75P
What is the distance between the following points?
Answer:
D. d = [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Use the distance formula: d = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2} }[/tex]
The two points are (6, -2) and (3, -9)
Plug the values into the formula:
d = [tex]\sqrt{(3 - 6)^{2}+ (-9 + 2)^{2} }[/tex]
Simplify
d = [tex]\sqrt{(-3)^{2}+ (-7)^{2} }[/tex]
d = [tex]\sqrt{9+ 49 }[/tex]
d = [tex]\sqrt{58}[/tex]
I hope this helps :))
Which of the following are equations for the line shown below? Check all that apply.
A. Y= x-2
B. Y-1=(x-3)
C. Y=x-2
D. Y+4=(x+2)
Answer: D. [tex]y+4=(x+2)[/tex]
Step-by-step explanation: Once you subtract [tex]4[/tex] from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as [tex]y=mx+b[/tex]), you end up with [tex]y=x-2[/tex], which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just [tex]x[/tex].
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 90% confident that you esimate is within 2.5% of the true population proportion. How large of a sample size is required
Answer:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84[/tex]
And rounded up we have that n=1076
Step-by-step explanation:
Information given
[tex]ME= 0.025[/tex] represent the desired margin of error
Solution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and . And the critical value would be given by:
[tex]t_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
We can assume that the best estimate for the true proportion is [tex]\hat p=0.5[/tex]. And on this case we have that [tex]ME =\pm 0.025[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84[/tex]
And rounded up we have that n=1076
Which of the following statements are equivalent to the statement "Every integer has an additive inverse" NOTE: (The additive inverse of a number x is the number that, when added to x, yields zero. Example: the additive inverse of 5 is -5, since 5+-5 = 0) Integers are{ ... -3, -2,-1,0, 1, 2, 3, ...} All integers have additive inverses. A. There exists a number x such that x is the additive inverse of all integers.B. All integers have additive inverses.C. If x is an integer, then x has an additive inverse.D. Given an integer x, there exists a y such that y is the additive inverse of x.E. If x has an additive inverse, then x is an integer.
Answer:
B, C and D
Step-by-step explanation:
Given:
Statement: "Every integer has an additive inverse"
To find: statement that is equivalent to the given statement
Solution:
For any integer x, if [tex]x+y=0[/tex] then y is the additive inverse of x.
Here, 0 is the additive identity.
Statements ''All integers have additive inverses '', '' If x is an integer, then x has an additive inverse'' and ''Given an integer x, there exists a y such that y is the additive inverse of x'' are equivalent to the given statement "Every integer has an additive inverse".
How many different ways can the letters of "kissing" be arranged?
Answer:1260
Step-by-step explanation:
Kissing has 7 letters, and there are 2 paris of the same letter.
[tex]\frac{7!}{2!2!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{4}[/tex]= 1260
What is the measure of the third angle in the similar triangles below?
25
65
85
115
Answer:
65
Step-by-step explanation:
We know that,
The Sum of all angles of the triangle is 180°.
As given in the question,
Triangle PQR is similar to Triangle WXY
Therefore ,
Let the third angle be 'x'.
35° + 80° + x = 180°
115 + x = 180°
x = 180° - 115°
x = 65°.
Hence, 65° is the appropriate answer to the question.
I hope my answer helped!!
100 pts A quality assurance check is 90% accurate for non-defective devices and 96% accurate for defective devices. Of the devices checked, 18% are defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.'
90% of 18% = .9*.18 = 0.162 = 16.2%
So 18 - 16.2 = 1.8 = 18% of them labeled as not defective
are actually defective.
Please mark me brainliest!
Answer:
1.8%
Step-by-step explanation:
90% × 18% = 16.2%
18% - 16.2% = 1.8%
1.8% is the probability of an incorrect conclusion.
Thursday is ladies night at the slurp in Burt bar and Grill. All adult beverages are $1.25 for women and $2.50 for men. A total of 211 adult beverages were sold last Thursday night. If the slip and burp sold a total of $365.00 in adult beverages last Thursday night, how many adult beverages were sold to women?
Answer:
130 women
Step-by-step explanation:
First set up a system of equations:
1.23W+2.50M=365.00
W+M=211
Using substitution you get:
1.25W+2.50(211-W)=365.00
Simplify:
-1.25W=-162.5
Divide:
W=130
I need help ASAP thank you
Answer:
Volume: 1080
Surface area: 654
Step-by-step explanation:
Part A:
How to solve surface Area: 2×(9×15 + 9×8 + 15×8)
How to solve volume: 9x15x8
Part B:
Surface Area
Part C:
Volume
Hope this helps
The next 3 options are:
A: x=1 or x= -3
A: x= -1 or x=3
B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)
please please help. Thank you so much.
Answer:
A: x= -1 or x=3
B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)
Step-by-step explanation:
x^2 -2x -3 =0
Factor
(x-3 )(x+1) =0
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
The zeros are
(3,0) (-1,0)
It intersects the x axis at (3,0) (-1,0)
Three hunters X, Y and Z aim at a bird on top of a tree. Their individual probabilities of killing the bird are 3/5, 2/3 and 5/6 respectively.
Find the probability that
i. Only X and Y kill the bird
ii. Only two of them kill the bird
iii. Only Z kill the bird
iv. Only one of them kill the bird
v. None of them kill the bird
vi. All of them kill the bird
Answer:
i. Only X and Y kill the bird = 2/5
ii. Only two of them kill the bird= 0.11
iii. Only Z kill the bird= 5/6
iv. Only one of them kill the bird= 1/3
v. None of them kill the bird= 0
vi. All of them kill the bird= 1
Step-by-step explanation:
Probability of x= 3/5
Probability of y = 2/3
Probability of z = 5/6
i. Only X and Y kill the bird
= 3/5 * 2/3
= 2/5
ii. Only two of them kill the bird
=Either x and y or x and z or y and z
= 2/5 or 1/2 or 5/9
= 0.111
iii. Only Z kill the bird
= 5/6
iv. Only one of them kill the bird
= 3/5 or 2/3 or 5/6
= 1/3
v. None of them kill the bird
0
vi. All of them kill the bird
1
What is the square root of 28
Answer:5. 291503
Step-by-step explanation:
√28
2√7
5. 291503
Help meeeee and thank u so much god bless u haha
Answer:
[See Below]
Step-by-step explanation:
For Point Slope Form:Point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' is the slope
(x1, y1) is a coordinate point.
Slope:Slope is rise over run. [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-1,5) and (3,-3).
[tex]\frac{-3-5}{3-(-1)}=\frac{-8}{4}= -2[/tex]
The slope of the line is -2.
I will use (-1,5) as the point:
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-5=-2(x+1)}[/tex]
For Slope Intercept:Slope intercept is: [tex]y=mx+b[/tex]
'm' - Slope
'b' - y-intercept
We can use the point slope equation to convert it into slope intercept form:
[tex]y-5=-2(x+1)\\\\y-5=-2x-2\\\\y-5+5=-2x-2+5\\\\\boxed{y=-2x+3}[/tex]
For Standard Form:Standard form is [tex]Ax+By=C[/tex]
Using out slope intercept form equation:
[tex]y=-2x+3\\\\y+2x=-2x+2x+3\\\\1y+2x=3\\\\\boxed{2x+1y=3}[/tex]
What is the probability that 4 randomly selected people all have different birthdays? Ignore leap years, and round your final answer to four decimal places.
0.9729
0.9918
0.9891
0.9836
Answer:
(D)0.9836
Step-by-step explanation:
There are 365 days in a year.
Since each person has a different birthday:
We can choose a birthday for the first person 365 out of 365 days.We can choose a birthday for the second person 364 out of 365 days.We can choose a birthday for the third person 363 out of 365 days.We can choose a birthday for the fourth person 362 out of 365 days.Therefore,
P(4 randomly selected people all have different birthdays)
[tex]=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836[/tex]
Which of the following verified the triangle COW is similar to triangle PIG? Ignore the answer I filled in I didn’t meant to pick that one.
Answer:
D. SSS theorem
Step-by-step explanation:
The triangles have similarity by 3 sides:
4/12=5/15=7/21So the answer is SSS
A) estimate the value of 9.9^2 x 1.79 B)estimate the value of V^(square root) 97.5/1.96 Thanks.
Answer:
Below in bold.
Step-by-step explanation:
A). 9.9^2 is close to 10^2 = 100
Round 1.79 to 1.8
So an estimate is 1.8 * 100
= 180.
B). √97.5 / 1.96
( I am assuming that the square root is of 97.5 only).
is approximately equal to √100 / 2
= 10/2
= 5.
There are 11 students in our Science class left to give their presentations. Today we will have time for 6 presentations. How many different ways can the teacher choose the presenters?
Answer:
He has 2,772 ways
Step-by-step explanation:
Hello,
the teacher has to choose 6 students and there are 11 students in total.
When he chooses the first student he has 11 choices
if he has to choose 1 students he has 11 ways to do it
then for the second one he has 11-1=10 choices
if he has to choose 2 students he has (11*10)/2 ways to do it (we do not count the duplicate - for instance if he chooses Steve and then Nils or Nils and then Steve this is only one group (Steve, Nils) we do not care of the order)
Then for the third student he has 10-1=9 choices
if he has to choose 3 students he has (11*10*9)/(2*3) ways to do it (we do not take into account the order of ppl in the group)
and so on and so forth
...
if he has to choose 6 students he has (11*10*9*8*7*6)/(2*3*4*5)
so he has 2,772 ways
Answer:
C. 462 is correct. I did the test.
Step-by-step explanation:
Does anybody know why these are wrong?
Answer:
They aren't wrong. The program is.
Step-by-step explanation:
The numbers you entered are the answers that matches the correct answers. It is a program error.
Dialiting a triangle changes the angles and side length of the triangle true or false
Answer:
False
Step-by-step explanation:
Dilation changes the side lengths, but not the angles. The given statement is FALSE.
The Venn diagram below is used for showing odd numbers and prime numbers.
Place the numbers 1, 2, 3, 4 and 5 in the Venn diagram.
Answer:
See attached
Step-by-step explanation:
Given the numbers 1,2,3,4 and 5
Odd Numbers =1, 3 and 5Prime Numbers = 2, 3 and 5Let O be the event that the number is Odd
Let E be the event that the number is Prime
Then the intersection of Odd and Prime Numbers: [tex]O \cap P =\{3,5\}[/tex]
Since 4 is neither odd nor prime, we place it outside of the two circles.
See the attached diagram for the required Venn diagram.
What is the ratio 16 : 12 in its simplest form?
Answer:
4 : 3
Step-by-step explanation:
16 : 12 can be simplified by 4 to get 4 : 3
Answer:
[tex]4:3[/tex]
Step-by-step explanation:
[tex]16 : 12[/tex]
The common highest factor of the ratio is 4.
Simplify the ratio.
[tex]16 \div 4:12 \div 4[/tex]
[tex]4:3[/tex]
A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road
Complete question:
A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.
Answer:
The red car is traveling along the road at 80.356 ft/s
Step-by-step explanation:
Given
Police car is 50 feet side off the road
Red car is 130 feet up the road
Distance between them is decreasing at the rate of 75 feet per sec
Let x be how far the police is off the road.
Let y be how far the red car is up the road.
Let h be the distance between the police and the red car.
This forms a right triangle so we can use the Pythagorean theorem, to solve for h
h² = x² + y²
h² = 50² + 130²
h² = 19400
h = √19400
h = 139.284 ft
Again;
Let dx/dt be how fast the police is traveling toward the road.
Let dy/dt be how fast the red car is traveling along the road.
Let dh/dt be how fast the distance between the police and the car is decreasing.
Recall that, h² = x² + y² (now differentiate with respect to time, t)
2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)
divide through by 2
h(dh/dt) = x(dx/dt) + y(dy/dt)
since the police car is not, dx/dt = 0
and dy/dt is the how fast is the red car actually traveling along the road
139.284(75) = 50(0) + 130(dy/dt)
10446.3 = 0 + 130(dy/dt)
dy/dt = 10446.3 / 130
dy/dt = 80.356 ft/s
Therefore, the red car is traveling along the road at 80.356 ft/s
The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between175 and 200 homes are going to be used as investment property
Answer:
0.9099
Step-by-step explanation:
1) =
=
200
800
= .25
2) Identify = . = .23
3) Find the z-value.
=
−
(1−)
=
.25−.23
.23(1−.23)
800
= 1.34
4) The probability is 0.9099.
As an estimation we are told £3 is €4.
Convert €48 to pounds.
Answer: £36
Step-by-step explanation:
4 Euros = £3
48 Euros (4x12) = £36 (3x12)
Answer:
£ 36.00
Step-by-step explanation:
£ 3 = € 4
Divide both sides by 4.
£ 3/4 = € 1
1 euro is 3/4 pound.
48 × 3/4 = 36
£ 36 = € 48
48 pounds is 36 euros.
write (n^3)^2 without exponets
Step-by-step explanation:
[tex]( {n}^{3} )^{2} = {n}^{6} = n \times n \times n \times n \times n \times n [/tex]
Answer:
n x n x n x n x n x n
Step-by-step explanation:
(n^3)^2 = n^6 = n x n x n x n x n x n
Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios. 6 ounces of pistachios cost $7.50 StartFraction 7 dollars and 50 cents Over 6 ounces EndFraction = StartFraction dollar-sign question mark Over 1-ounce EndFraction Unit price = $0.80 per ounce What was his first error?
A. The price per ounce should have been $45.00 per ounce.
B. The price per ounce should have been $1.25 per ounce.
C. The final cost should have been $20.00.
D. The final cost should have been $16.80.
Answer:
The price per ounce should have been 1.25 per ounce
Step-by-step explanation:
The price per ounce should have been 1.25 per ounce
(found it online)
XD - don't delete/report!
Brainleist!Answer:
1.25
Step-by-step explanation: