Basil has five numbered cards.

Two of the numbers are hidden. 4 9 9 ? ? 8

The mode of the five numbers is 8.

The mean of the five numbers is 6

c) Work out the two hidden numbers.

Answers

Answer 1

Answer:

The two hidden numbers are 8 and 1.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is given by the sum of all its values divided by the number of values.

Mode of a data-set:

The mode of a data-set is the value that appears the most.

In this question:

4, 9, x, y, 8

Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:

4, 9, 8, y, 8

The mean of the five numbers is 6

This means that:

[tex]\frac{4+9+8+y+8}{5} = 6[/tex]

[tex]29+y = 30[/tex]

[tex]y = 30 - 29[/tex]

[tex]y = 1[/tex]

The two hidden numbers are 8 and 1.


Related Questions

What scale factor was applied to the first rectangle to get the resulting image?

Answers

Answer:

2.5

Step-by-step explanation:

7.5/2=2.5

Please I need the answer ASAP and not wrong, take your time.

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Answer:

x is 83 degrees.

Answer:

x is 83 degrees

Explanation:

The table gives 20 years of data on the number of students in a particular school who dropped out in the ninth grade. A sample is taken to include only the last 3 years of this data. With this information, calculate both the population mean and the sample mean for ninth-grade dropouts per year.

Answers

Answer:

4.35 and 5.33

Consider the quadratic expression given below.

4x^2 + 8x - 60

Factor the following expression completely.

Answers

Answer:

4(x + 5)(x - 3)

Step-by-step explanation:

Given

4x² + 8x - 60 ← factor out 4 from each term

= 4(x² + 2x - 15) ← factor the quadratic

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)

The factors are + 5 and - 3 , since

+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then

x² + 2x - 15 = (x + 5)(x - 3)

Then

4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form

This problem says to write the product of the sum and the difference. (x+5)(x-5). I'm not sure what my teacher is asking me to do.

Answers

Step-by-step explanation:

step 1. x + 5 and x - 5 are polynomials.

step 2. x + 5 is a sum, x - 5 is a difference.

step 3. (x + 5)(x - 5) is a product which means to multiply. So "multiply" using FOIL.

step 4. (x + 5)(x - 5) = x^2 - 5x + 5x- 25 = x^2 - 25.

HELPPPPP ME PLEASE!!!!!!!!

Answers

Answer: Median 38 / Mean 24.5

Step-by-step explanation:

The median is 38

and

The mean is 24.5

To find the median just find the number in the middle of an odd set

but if it happens to be an even number add the 2 middle numbers together and divide them by 2

To find the Mean add all of the numbers and divide them by the number of sets ( in this instance its 4 )

The length of a rectangle is twice its width. The perimeter is 60 f. Find its area.
A-2002
A-902
A-1002

Answers

Answer:

Length of the rectangle= 20

breadth of the rectangle= 10

area = l*b

=20*10

=200

On a​ map, 1 inch equals 5 miles. Two cities are 3 inches apart on the map. What is the actual distance between the​ cities?
The actual distance between the cities is ___ miles.

Answers

Answer:

15

Step-by-step explanation:

cross multiplying, [tex]\frac{1}{5}[/tex] × [tex]\frac{3}{x}[/tex]

then it would be 15 =1x

and 1x is basically just one, so 15 = x

5x - 3y = 24////standard form to slope intercept form

Answers

Answer:

y =5/3x - 8

Step-by-step explanation:

5x - 3y = 24

-3y = -5x + 24

y = 5/3x - 8

Help me with this math assignment please ASAP

Answers

Answer:

5 I don't know if it's right but I am a trying

HELPPPPPP SOMEONE PLEASE

Answers

Answer:

the answer should be A) 12

Step-by-step explanation:

54 ÷ 3^2 × 2

54 ÷ (3 × 3) × 2

54 ÷ 9 × 2

6 × 2

12

Find two integers whose sum is -9 and product is -10

Answers

Step-by-step explanation:

if the two integers are x and y

xy=-10

x+y=-9

x+(-10/x)=-9

x2+9x-10=0

(x-1)(x+10)=0

x=1 or x=-10

if x=1, y=-10

if x=-10, y=1

so the two integers are 1 and -10

3 teas and 2 coffees have a total cost of £7.80.

5 teas and 4 coffees have a total cost of £14.20.

Work out the cost of one tea and the cost of one coffee.​

Answers

Answer:

coffee is £1.80 per cup and tea is £1.40 per cup

Step by Step:

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equation (a), giving (c):(a) 6t + 4c = 15.60(c) 5t + 4c = 14.20We can then subtract (c) from (a), giving:t = 1.40T can then be substituted into the initial equation (a), to work out the value of c:(3 x 1.40) +2c = 7.804.20 +2c = 7.802c = 3.60c = 1.80Finally we can check these values by substituting into (b):(5 x 1.40) + (4 x 1.80) = 7 + 7.2 = 14.20Then make sure to show your answers clearly, with units:coffee is £1.80 per cup and tea is £1.40 per cup

does anyone know SSS and SAS??​

Answers

It means SSS means side, side, side and SAS is Side, Angle, Side

The sum of 6 and y is greater than – 16.

Answers

Answer: 6+y < -16

Step-by-step explanation:

Help please ill give brainilist!

Answers

Answer:  I would say 28, 97, 167, 131, 66, and 77

Sorry if wrong

Step-by-step explanation:

Help me plssss!!!!!!

Answers

Answer:

take a clear pic and re-upload......

WILL GIVE BRAINLIEST

Answers

Answer: The correct answer is C.

Step-by-step explanation: Divide 15 and 6. That'll give you 6.5. Therefore, the correct answer is C.

Answer:

The answer is C 2.5

Step-by-step explanation:

Because u have to divide 15 by 6

if 10 KM = 5/6 hour, 1 hour=

Answers

Answer:

Step-by-step explanation:

10/5x6=12

What is the value of x?

Need an answers ASAP​

Answers

Answer:

X = 54

Step-by-step explanation:

set the equations equal to each other and then solve for x

Answer:

So 59 for the first one and 58 for the second one

Step-by-step explanation:

3x+2=180 = 3x=178=x=59

4x-52=180= 4x=232 = x=58

At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, What will be the closest day that you will do the three exercises the same day?

GCF AND LCM

Answers

Step-by-step explanation:

We need to do LCM in this case.

2_|_ 6,4,16

2 _|_ 3,2,8

_|_ 3, 1,4

It is not divisible further.

So, LCM is 2×2×3×4 = 48

So, 48 is the answer.

Hope it helps :)

[tex].[/tex]

please help i’m trying to improve my grade

Answers

Answer:

= -4(2.3x + 0.7)

Step-by-step explanation:

=(3x + 5.1) + (-12.2x - 7.9)

= 3x + 5.1 - 12.2x - 7.9

= -9.2x - 2.8

= -4(2.3x + 0.7)

Gavin took a taxi home from the airport. The taxi fare was $7 plus an additional $0.65 per mile.
Gavin gives the driver a $3 tip when he arrives home. If Gavin paid a total of $62.65 with the tip,
what is the distance between the airport and Gavin's house?

Answers

Answer:

81

Step-by-step explanation:

$62.65-$7-$3=$52.65

Distance->52.65÷0.65=81

81 miles, he paid 7$ and 3$ for a total of 10$ not including the expense per miles, so you would subtract 10$ off of 62.65$ to get 52.65$ for how much he paid for the distance, and then divide 52.65$ by 0.65$ to get 81 miles

A horizontal line includes the points (0, -2) and (3, -2). Find the slope of the line.

wil give BRAINLIEST
pls answer correctly

Answers

Answer:

We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

[tex]m = 0[/tex]

Step-by-step explanation:

Given that the line includes the points

(0, -2)(3, -2)

We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

(x₁, y₁) = (0, -2)(x₂, y₂) = (3, -2)

now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-2-\left(-2\right)}{3-0}[/tex]

[tex]m=\frac{-2+2}{3}[/tex]

[tex]m=\frac{0}{3}[/tex]

[tex]m = 0[/tex]

Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

[tex]m = 0[/tex]

cuánto son cinco veces doce​

Answers

Answer:

Yes

Step-by-step explanation:

ASAP HELP


triangle a is reflected in the line x=1 to give triangle b triangle b

Answers

Answer:

A reflection over y=-x

Step-by-step explanation:

Im almost positive

mike has 26 queens worth $5.30 each in his pocket. if all the coins are dimes and quarters, how many of each kind of coin does he have

Answers

20 quarter and 3 dime
Answer is 520 quarter and 78 dimes (hopefully)

I really need help please :))))))

Answers

Answer:

If there were 25% fewer sunny days this year, then the answer would be 75%. This is because there are(100-25)% of the sunny days this year compared to last year.

Let me know if this helps!

Mr. Demming jogs for 13/8 of a mile. Mrs. Demmings jogs for 13/6 of a mile.


What are important things to think about when justifying a conjecture?

Answers

Answer:

Step-by-step explanation:

First, we need to understand what a conjecture means, we can take a conjecture to mean the use of observed patterns or foundational knowledge about a certain phenomenon or thing to make a decision or make a logical conclusion about such thing.

Hence, when making Justification about a conjecture, we need to take into cognizance some potent things :

1.) There must be an observed pattern, relationship between the observation upon which a conjecture is to be made. As this pattern are key to our reasoning and decision.

2.) Also, our final conclusion or conjecture will be based on the pattern observed and not on some random thought.

How many terms are in the expression below.

15+7x-8+4

Answers

Answer:

None

Step-by-step explanation:

I don't think you count terms that are being added together. You can only count if they are terms when you multiply or divide but never when you add or subtract I AM pretty sure.

Tell me if I'm wrong.

Answer:

4

Step-by-step explanation:

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