The Riley family has 3 children all born 1 year apart. Kate is the youngest, Bradley is the middle child, and Cameron is the oldest. Together, the children's ages total 36. How old is Kate?​

Answers

Answer 1

Step-by-step explanation:

12

Answer 2

Answer:

11

Step-by-step explanation:

11+12+13 =36

So  Kate would be 11. Bradley would be 12. And Cameron would be 13


Related Questions

Oxygen makes up about 20% of the volume of air. Which of these expresses the amount of air made up of oxygen?
PLZ I GIVE BRAILIEST

Answers

Answer:

Step-by-step explanation:

in decimal it is 20.00, in fraction it is 1/5.

Using exponential maths what is 2x = 1/128

Answers

The answer is 1/256 hope this helps

Explanation: if u need to show your work lemme know just comment and I’ll get a notification

working through this one. An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit What is the rate of temperature change in degrees Fahrenheit per foot? In the following activity, you'll use what you know about dividing rational numbers to find the solution. Complete the steps below to answer the question. write the change in elevation and the temperature as rational number.​

Answers

Answer:

Step-by-step explanation:

The air plane is rising so the change in elevation is +1000 feet. The temp dropped and is -20 degrees ferhenhite.

Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?

Answers

Answer:

55 + 45 = 90

90 divided by  45 = 2

90 divided by 9 = 10

Step-by-step explanation:

What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?

A. y = −½ x − 5


B. y = −½ x − 1

C. y = 2x − 5


D. y = 2x − 1

Answers

Answer:

C. y = 2x − 5

Step-by-step explanation:

Given equation of line

2x − y = 3

rewriting the equation in slope intercept form as answer are given slope intercept form

y = 2x - 3

slope intercept form of equation is

y = mx + c

where m is the slope

c is y intercept

thus

slope for y = 2x - 3 when comparing with y = mx + c is 2

now we know slope of two parallel line is same

thus,

the slope of  line that is parallel to the line 2x − y = 3

is 2

Let the equation of required line be y = mx + c

where m = 2

thus

y = 2x + c is the new required equation

it passes through the point (2, −1)

using y = -1 and x = 2 in y = 2x + c

-1 = 2*2 + c

c = -1 - 4

c = -5

thus,

equation of required line is option c

y = 2x - 5 ----answer

it was wrong it is actually 0.29 or .29

Answers

Answer:

Form what?

Step-by-step explanation:

Step-by-step explanation:

what are you taking about ?

According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow:

87 91 86 82 72 91
60 77 80 79 83 96

Required:
a. Develop a point estimate of mean wine score for this pinot noir (to decimals).
b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to decimals).

Answers

Answer:

a

[tex]\= x  =  82 [/tex]

b

[tex]s =  9.64 [/tex]

Step-by-step explanation:

From the question we are told that

    The data is  87  91  86  82  72  91   60  77  80  79  83  96

Generally the point estimate for the mean is mathematically represented as

    [tex]\= x  =  \frac{\sum  x_i }{n}[/tex]

=>  [tex]\= x  =  \frac{87 +91 + 86 + \cdots  + 96}{12}[/tex]

=>    [tex]\= x  =  82 [/tex]

Generally the point estimate for the standard deviation  is mathematically represented as

      [tex]s =  \sqrt{\frac{ \sum ( x_i  - \= x )^2 }{ n -1 } }[/tex]

=>     [tex]s =  \sqrt{\frac{ ( 87 - 82  )^2 +( 91 - 82  )^2 + \cdots + ( 96 - 82  )^2  }{ 12 -1 } }[/tex]

=>     [tex]s =  9.64 [/tex]

Part(a): The required mean is 82

Part(b): The required standard deviation is 9.639

Mean:

The mean is one of the measures of central tendency.

Part(a):

The formula for finding the mean is,

[tex]\bar{x}=\frac{\sum x_i}{n}[/tex]

Now, calculating the mean for the [tex]n=12[/tex] observation

[tex]\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82[/tex]

Part(b):

The formula for the standard deviation is,

[tex]S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }[/tex]

Substituting the given values into the above formula we get,

[tex]S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639[/tex]

Learn more about the topic Mean:

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Given the equation: 3x − 4y = 8,

a) write an equation of a line parallel that passes through the point (-16, 4).

b) write an equation of a line perpendicular that passes through the point (9, -7).

Answers

Answer:

use slope intercept formula

y=Mx +b

Step-by-step explanation:

3X-4Y=8

3X-8 = 4Y

y = 3/4x-2

our new equation just needs to have the same slope  M= 3/4

y-y1=M(x-x1)

y-4=3/4(x-(-16))

y=3/4x+12+4

y=3/4x+16  answer a

for a perpendicular line.. just take the inverse of the slope... and change the sign.  so now our slope is - 4/3

plug in our new point (9,-7)

y-(-7) = -4/3(x-9)

y+7=-4/3x+12

y= -4/3x +5 answer b

Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.

Write the Equation and the answer please

Answers

Answer: there is 90 players in total

Step-by-step explanation:

6x 2= 12

78 + 12 = 90

Answer:

x=15

Step-by-step explanation:

6(x−2)=78 (or 6x−12=78), x=15

Part C
Solve the equation or inequality for the unknown number. Show your work.
Helppp

Answers

Answer:

x = 5

Step-by-step explanation:

pair of angles is an example of supplementary angles will mark brainest​

Answers

Answer:

Angle 1 and Angle 7

Step-by-step explanation:

Angle 1 and angle 7 are supplementary angles. Angle 3 and angle 7 are corresponding angles and angle 1 + angle 3 = 180

Answer:

Angle 1 and angle 7

Step-by-step explanation:

supplementary angles adds up to 180

angle 1 and angle 7 is an example of supplementary angles.

other options do not apply.

Please help me answer the question in the photo! Will give brainlist :)

Answers

Answer:

the answer is B because it make a 90* angle

Answer: I would say it is C

sorry if I am wrong in advance.

The changes in housing prices over short time periods are in part determined by supply and demand. A real estate company in Minnesota projected an increase in its average selling prices of homes in the first quarter of 2014 over the mean 2013 selling price of $201,800. The reason for the projection was an increase in demand due to business expansion and the subsequent increase in labor. To investigate the accuracy of the projection, a sample of homes in the first quarter of 2014 was selected and the following selling prices (in $) recorded:

235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500

Required:
a. At 5% level of significance, is there sufficient evidence to support the real estate company's projection?
b. Which statistical distribution should be applied in this situation and why? Explain carefully.
c. Discuss the consequences of Type I and Type II errors in terms of the problem.
d. Does the management at the real estate company want a small or large value of the significance level? Explain carefully.
e. Based on a 95% confidence level, estimate the actual average selling price homes in the first quarter of 2014.

Answers

Answer:

The data given is  

    235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500

  The sample size is  n =  16

   The population is  [tex]\mu  =  \$201,800[/tex]

  The sample mean is mathematically represented as

             [tex]\= x =\frac{\sum x_i}{n}[/tex]

=>  [tex]\= x  =\frac{235,000 + 271,900 + \cdots + 245,500 }{16}[/tex]

=>    [tex]\= x  = 218653.125[/tex]

Generally the sample standard deviation is mathematically represented as

     [tex]s =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]

=>   [tex]s =  \sqrt{\frac{ (235,000 -  218653.125)^2+ (271,900 -  218653.125)^2 + \cdots +  (245,500 -  218653.125)^2}{16} }[/tex]

=>   [tex]s =  23946.896 [/tex]

The null hypothesis is  [tex]H_o : \mu =  \$201,800[/tex]

The alternatively hypothesis is  [tex]H_o : \mu >  \$201,800 [/tex]

Generally the test statistics is mathematically represented as

     [tex]t =  \frac{\= x  - \mu }{ \frac{s}{\sqrt{n} } }[/tex]

=>  [tex]t =  \frac{218653.125  - 201800 }{ \frac{23946.896 }{\sqrt{16} } }[/tex]

=>  [tex]t =  2.82[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df =  n - 1[/tex]

=>   [tex]df =  16 - 1[/tex]

=>   [tex]df =  15[/tex]

Generally the probability of  [tex]t =  2.82[/tex] at a degree of freedom of  [tex]df =  15[/tex] from the t - distribution table  is  

     [tex]p-value  = P( t >2.82 ) =0.00646356[/tex]

The

From the values obtained we see that [tex]p-value  < \alpha[/tex]

The decision rule is  

   Reject the null hypothesis

The conclusion is

 There is sufficient evidence to conclude that the real estate company's  projection is true

Given that the population variance is unknown then the best statistical distribution to be applied is the t -distribution

Type I  Error

 The type 1 error occur when the null hypothesis is wrongfully rejected

  The consequence in this case is the company will assume that the average selling price has increase and this will lead the company to start expanding the business while in the real sense the average selling price is still  $201,800

   Type II  Error

 The  type 11 error occur when the null hypothesis is wrongfully  accepted(i.e wrongfully failed to reject the null hypothesis)

    The consequence in this case is that the company will assume that the average selling price  is still $201,800 and will not make plans to increase the business while in the real sense the average selling price has increased

   Given that resource is scare the management of the company will want a  smaller  significance level in order not to commit type I error which will lead to wrongly expanding the business and wastes of resources

generally the critical value  of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is    

     [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

   [tex]E  =Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }[/tex]

=>[tex]E  =1.96*  \frac{23946.896}{\sqrt{16} }[/tex]

=>[tex]E  = 11733.96[/tex]

Generally the 95% confidence interval is  mathematically represented as

     [tex]218653.125 - 11733.96  < \mu  <  218653.125 + 11733.96[/tex]

=>  [tex]206919.165  < \mu  <  230387.085[/tex]  

Generally there is 95% confidence that the actual average selling price is within this interval  

Step-by-step explanation:

6 hours and 30 minutes after 11;00 is what time

Answers

Answer:

5:30

Step-by-step explanation:

you go ahead and add the 30 minutes so you then have 11:30 plus 6 hours is 5:30 because it only goes to 12:00 and repeats.

Please help me ..................

Answers

1)
a)E
b)D
c)A

2)Between 3 and 4
decimal estimate is 3.6

3)Between -12 and -13
Decimal estimate is -12.25

4)5.48 or 5.5inches

5)32 feet

6)B

7)C

The answers are shown below:

What is square root?

The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.

Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.

a) point E represent √47 ( 6.855)

b) point D represent √27 ( 5.19)

c) point A represent √11 ( 3.316)

√13(3.6050 lies between 3 and 4.

-√150 (12.247) lies between (-12 and -13)

side = √area= √30 = 5.477 inch

√90=9.48 ( option b)

The incorrect statement is √12 lies between 4 and 5

Learn more about square root here:

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#SPJ2

Simplify. 32v2 the power of 4/ 8v to the power of 6

Answers

the answer is 4/v to the power of two

help im confused..........

Answers

Answer:

rvefncoqjefadsNofvewnvfeeljjnfvqe

Step-by-step explanation:

fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me

Answer:

lol im confused aswell

Step-by-step explanation:

during a sale, 20 cent bars of soap were sold at the rate of 3 for 50 cents. how much is saved on 9 bars?

Answers

Answer:

30 is saved

Step-by-step explanation:

20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30

Write the decimal represented by each shaded square.

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The decimal would be .70 because there's 70 squares that are shaded.

In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects five balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. The results are given in the following table.
Alpha Best Century Divot
281 270 218 364
220 334 244 302
274 307 225 325
242 290 273 337
251 331 249 355
Provide the EXCEL printout of ONEWAY ANOVA using either DATA ANALYSIS or PTSTAT2 to determine whether the mean number of stimulated drives differs by brand of golf ball.
Use the ANOVA printout to write-up the six step hypothesis testing procedure for determining whether the average number of simulated drives differs by brand of golf ball. What is the p-value for this problem and what does it mean? Assume alpha =.05.

Answers

Answer:

As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.

Step-by-step explanation:

Excel output print out

Anova: Single Factor      

     

SUMMARY      

Groups Count Sum Average Variance  

Alpha 5 1268 253.6 609.3  

Best 5 1532 306.4 740.3  

Century 5 1209 241.8 469.7  

Divot 5 1583 316.6 1235.3  

     

     

ANOVA      

Source of Variation SS df MS F P-value F crit

Between Groups 20960.4 3 6986.8 9.149217573 0.000925804 3.238871517

Within Groups 12218.4 16 763.65    

     

Total 33178.8 19    

The six steps of hypothesis are

1. Null hypothesis: The average number of simulated drives are same by brand of golf ball

Alternative hypothesis: The average number of simulated drives differs by brand of golf ball

2. Significance level: α=0.05

3. Test statistic: F-ratio for one way anova

4. Computations

F=9.149

5. Critical region: F>3.239

6. Conclusion:

As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.

A hotel manager records the number of bookings made at various prices during July.

What type of correlation does the graph show?

A. strong positive correlation

B. weak positive correlation

C. strong negative correlation

D. weak negative correlation

E. no correlation

Answers

Answer:

C. strong negative correlation

Step-by-step explanation:

I would say the answer is C. a strong negative correlation.

Firstly, the graph is 'going downwards', meaning that the relationship is negative. This is because one variable decreases when the other is increased. I think it is a strong relationship because the trend is quite clear through the points and the slope is moderately steep.

Hope this helped!

Which explains how you round 212.809 to the nearest hundredth?
A.


Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.


Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.


Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.


Since the digit in the thousandths place is greater than or equal to 5, keep th

Answers

Answer:

c

Step-by-step explanation:

-5 is a rational number and an integer yes or no

Answers

Answer:

Yes

Step-by-step explanation:

Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers

Solve for x: y=3mx-2b

Answers

Answer:

x=(y+2b)/3m

Step-by-step explanation:

y+2b=3mx

(y+2b)/3m=x

The mean output of a certain type of amplifier is 466 watts with a standard deviation of 10 watts. If 32 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 1.6 watts? Round your answer to four decimal places.

Answers

Answer:

0.8186

Step-by-step explanation:

The formula to use to solve this question is given as:

z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

P(z < (x-μ)/σ/√n)

(x-μ) = 1.6 watts

σ = 10 watts

n = 32 amplifiers

Hence,

P(z < 1.6/10/√32)

P(z < 1.6/1.767766953)

P(z < 0.9050966799)

Approximately to 2 decimal places)

P(z < 0.91)

= 0.81859

Rounded to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 1.6 watts is 0.8186.

Given f (x) = 3x - 6 and g (x) = 2x²



1. Find: f (g (x))



2. Evaluate: f ( g ( -2))


PLEASE HELP ASAP!

Answers

Answer:

1. 6x^2-6

2. 18

Step-by-step explanation:

1. f(g(x))= 3(2x^2)-6= 6x^2-6

2. f(g(-2))= 3 (2(-2)^2)-6= 3(2(4))-6= 3(8)-6=24-6=18

1. 6x^2 - 6
2. 18

Have a nice day / night! :)

is 10 15 18 equal to a right triangle

Answers

Answer:

no

Step-by-step explanation:

Right triangles follow the Pythagorean theorem:

[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}\\18=\sqrt{10^2+15^2} \\18=\sqrt{325} \\18 != 18.0277\\[/tex]

Because this statement isn't true, the side lengths are not for a right triangle.

Name the points which satisfy the conditions. The ordinate is zero.

Answers

9514 1404 393

Answer:

  G

Step-by-step explanation:

The one point with a y-value of 0 is the one on the x-axis: G.

Please and wet the question. Thanks

Answers

Answer:

1.0.00015*0.33333...

2.(3^4*2^6)

HOPE THIS HELPS

Which expression is equivalent to |-5| + |3|?

Answers

The answer is 8 Do Good to

Answer:

5+3 =8

Step-by-step explanation:

absolute value

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