Five of six numbers have a sum of 25. The average of all six numbers is 6. What is the sixth number?
a. 8
b. 10
c. 11
d. 12

Answers

Answer 1
It’s definitely 10 trust me 100%
Answer 2

9514 1404 393

Answer:

  c. 11

Step-by-step explanation:

The sum of all 6 numbers is ...

  6 × average of 6 = total of 6

  6 × 6 = 36 = total of 6

Then the remaining number is ...

  total of 5 + sixth number = total of 6

  25 + sixth number = 36

  sixth number = 36 -25 = 11


Related Questions

Could someone possibly help me with this

Answers

Answer:

40

Step-by-step explanation:

The shape has 6 sides a,b,c,d,e,f

The perimeter is the sum of the sides

P = a+b+c+d+e +f

4 of the sides add to 195  a+b+c+d = 195  Replace in the equation

P = 195 +e+f

We know that e and f are equal

P = 195+f+f

P = 195+2f

The perimeter is 275

275=195+2f

Subtract 195 from each side

275 -195 = 195+2f-195

80 = 2f

Divide by 2

80/2 = 2f/2

40 =f

The other 2 sides are 40 ft each

calculate the volume of a cone knowing that it has a radius of 6cm and a height of 18cm

Answers

Answer:

V≈678.58cm³

Step-by-step explanation:

V=πr^2h/3=π·6^2·18/3≈678.58401cm³

Hope this helps! :D

Suppose that the value of a stock varies each day from $12.82 to $28.17 with a uniform distribution.
Find the third quartile; 75% of all days the stock is below what value? (Enter your answer to the nearest cent.)

Answers

Answer:  24.33

======================================================

Explanation:

The range is

range = max - min

range = 28.17 - 12.82

range = 15.35

This is the width of this particular uniform distribution.

Apply 75% to this value

75% of 15.35 = 0.75*15.35 = 11.5125

Then finally, add that to the min

12.82 + 11.5125 = 24.3325 which rounds to 24.33

We can see that 75% of the values are below 24.33 which makes it the 3rd quartile (Q3).

A system of vertices connected in pairs
by edges. Definition

Answers

If the two vertices are additionally connected by a path of length 1, i.e. by a single edge, the vertices are called adjacent. A graph is said to be connected if every pair of vertices in the graph is connected. This means that there is a path between every pair of vertices.

Helen is constructing a room. She is preparing a scale drawing of her room as 1 cm = 2.5 feet. Find the actual dimensions with the given model dimensions of 8 cm×5 cm.

20 feet×12.5 feet
15 feet×5.5 feet
10 feet×8 feet
8 feet×6.5 feet

Answers

Answer: 20 ft × 12.5 ft

Step-by-step explanation:

Since 1 cm = 2.5 ft,

8 cm = 8 · 2.5 = 20 ft5 cm = 5 · 2.5 = 12.5 ft

Therefore, 8 cm × 5 cm = 20 ft × 12.5 ft

Let the sides of the rectangle be x and y and let f and g represent the area (A) and perimeter (p), respectively. Find the following.

Answers

Answer:

the answer is

f=x×y

g=2(x+y)

6428 rounded to the nearest hundred

Answers

Answer:

6400

Step-by-step explanation:

6428

4 is in the hundreds place

looking at the tens place = 2

Since it is less than 5

We leave the hundreds place alone

6400

Given the number 2376.458 rounded to the following place values: 1) Rounded to the nearest hundred, 2) Rounded to the nearest whole unit, 3) Rounded to the nearest hundredth,

Answers

Answer:

1)2400

is the result of rounding 2376.458 to the nearest 100.

2) 2376

is the result of rounding 2376.458 to the nearest integer.

3)2376.46

is the result of rounding 2376.458 to the nearest 0.01

I hope this is right and it helps !!!!!!!!!!!!!!!!

Answer:

1(2400)

2(2376)

3(2376.46)

Step-by-step explanation:

it's just your fraction skills

Answer plssssssss!!!!!!

Answers

Answer:

the answer is 40.27

Step-by-step explanation:

37.99 × 6%= 2.28

37.99+2.28= 40.27

Sam's monthly bills are normally distributed with mean 2700 and standard deviation 230.9. He receives two paychecks of $1500 each in a month, post taxes and withholdings. What is the probability that his expenses will exceed his income in the following month?Ð) 10%. B) 16%.C) 21%.D) 29%.E) 37%.

Answers

Answer:

A) 10%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sam's monthly bills are normally distributed with mean 2700 and standard deviation 230.9.

This means that [tex]\mu = 2700, \sigma = 230.9[/tex]

What is the probability that his expenses will exceed his income in the following month?

Expenses above 2*1500 = $3000, which is 1 subtracted by the p-value of Z when X = 3000.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3000 - 2700}{230.9}[/tex]

[tex]Z = 1.3[/tex]

[tex]Z = 1.3[/tex] has a p-value of 0.9032.

1 - 0.9032 = 0.0968 that is, close to 10%, and thus the correct answer is given by option A.

Complete factorization x^3-2x^2+x-2

Answers

Answer:

[tex]{ \tt{ {x}^{3} - 2 {x}^{2} + x - 2 }} \\ = { \tt{(x - 2)(x - i)(x + i)}}[/tex]

A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5.(a) Is it appropriate to use a Student's t distribution? Explain.Yes, because the x distribution is mound-shaped and symmetric and Ï is unknown.No, the x distribution is skewed left. No, the x distribution is skewed right.No, the x distribution is not symmetric.No, Ï is known.How many degrees of freedom do we use?(b) What are the hypotheses?H0: μ = 8.5; H1: μ > 8.5H0: μ = 8.5; H1: μ â  8.5 H0: μ = 8.5; H1: μ < 8.5H0: μ < 8.5; H1: μ = 8.5H0: μ > 8.5; H1: μ = 8.5(c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.)t =(d) Estimate the P-value for the test.P-value > 0.2500.100 < P-value < 0.250 0.050 < P-value < 0.1000.010 < P-value < 0.050P-value < 0.010(e) Do we reject or fail to reject H0?At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(f) Interpret the results.There is sufficient evidence at the 0.05 level to reject the null hypothesis.There is insufficient evidence at the 0.05 level to reject the null hypothesis.

Answers

Answer:

1.) Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. ;

df = 24 ;

H0 : μ = 8.5

H1 : μ ≠ 8.5 ;

1.250 ;

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

There is insufficient evidence at the 0.05 level to reject the null hypothesis.

Step-by-step explanation:

Given :

Sample size, n = 25

xbar = 9 ; Standard deviation, s = 2

α = 0.05 ;

The degree of freedom, df = n - 1 ; 25 - 1 = 24

The hypothesis (two tailed)

H0 : μ = 8.5

H1 : μ ≠ 8.5

The test statistic :

(xbar - μ) ÷ (s/√(n))

(9 - 8.5) ÷ (2/√(25))

0.5 / 0.4

Test statistic = 1.250

The Pvalue from Tscore ;

Pvalue(1.250, 24) = 0.2234

Pvalue > α ; We fail to reject H0 ;

Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).

Answers

Answer:

Step-by-step explanation:

f(n) = 8 + 3(n) - 3

f(n) = 5 + 3n

f(1) = 5 + 3(1)

f(1) = 8

f(2) = 5 + 3(2)

f(2) = 5  + 6

f(2) = 11

f(3) = 5 + 3*3

f(3) = 14

f(4) = 5 + 3*4

f(4) = 17

1/2 of 12=1/4 of?
1/3 of 90=2/3of?

Answers

Answer:

24 and 45

Step-by-step explanation:

Okay, now that I can answer this question with the right answers:

The easy way to do this is to first solve the left hand side of the equation.

1/2 of 12 is the same as 12/2 = 6.

So 6 = 1/4 * x

To solve for that unknown x, just multiply both sides by 4 to cancel out the fraction:

6*4 = 4* 1/4*x

24 = x

For the other equation, do the same thing:

1/3 * 90 = 90/3 = 30

30 = 2/3*x

30*3 = 3* 2/3 *x

90 = 2x

90/2 = 2x/2

45 = x

PLEASE HURRY!!! What is the scale factor of this dilation?

Answers

Answer:

1/2

Step-by-step explanation:

the legs and hypotenuse of the red triangle are double than the blue triangle

5. Sam wrote the expression below.
10 +15k
Rami said that this expression is equivalent to 5(3k + a)
Kenneth said this expression is equivalent toyk+6+8k+4.
Who is correct and why? Explain your thinking clearly,

Answers

Answer:

see below

Step-by-step explanation:

10 + 15k

Factor out the greatest common factor 5

5( 2+3k)

Rewriting

5(3k+2)

Rami is correct if a=2 then his expression is 5(3k+2)

Kenneth

yk+6+8k+4

Add the terms together

k(y+8) + 10

If y =7 then Kenneth is correct otherwise he is incorrect

The graph of a quadratic function has x-intercepts of -7and -1 ,and passes through the point (-4,36). determine the equation of the quadratic function in the form f(x)=a(x-m)(x-n)

Answers

Answer:

[tex]f(x) = -4(x+7)(x+1)[/tex]

Step-by-step explanation:

Quadratic equation:

A quadratic equation, with roots(x-intercepts) at [tex]x_1[/tex] and [tex]x_2[/tex], and leading coefficient a, is given by:

[tex]f(x) = a(x - x_1)(x - x_2)[/tex]

Has x-intercepts of -7 and -1

So [tex]x_1 = -7, x_2 = -1[/tex]. Thus

[tex]f(x) = a(x - (-7))(x - (-1)) = a(x+7)(x+1)[/tex]

Passes through the point (-4,36).

This means that when [tex]x = -4, y = 36[/tex], and we use this to find the leading coefficient.

[tex]36 = a(-4+7)(-4+1)[/tex]

[tex]a(3)(-3) = 36[/tex]

[tex]-9a = 36[/tex]

[tex]a = -\frac{36}{9}[/tex]

[tex]a = -4[/tex]

So

[tex]f(x) = -4(x+7)(x+1)[/tex]

A car travels 60 kilometers in one hour before a piston breaks, then travels at 30 kilometers per hour for the remaining 60 kilometers to its destination. What is its average speed in kilometers per hour for the entire trip?

Answers

Answer:

Total Distance : 1*60 +60=120

Total time taken = 1+ 60/30= 1+2=3

Hence average speed for the trip = 120/3= 40 kmph

Hence Answer is 40

Step-by-step explanation:

The average speed is 40 km/h.

What is Average speed?

The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:

Average Speed Formula:

Average Speed = Total distance covered ÷ Total time taken

Example:

sing the average speed formula, find the average speed of Sam, who covers the first 200 kilometers in 4 hours and the next 160 kilometers in another 4 hours.

Solution:

To find the average speed we need the total distance and the total time.

Total distance covered by Sam = 200Km + 160 km = 360 km

Total time taken by Sam = 4 hour + 4 hour = 8 hour

Average Speed = Total distance covered ÷ Total time taken

Average Speed = 360 ÷ 8 = 45km/hr

Given:

d1= 60 km

d2= 30

d3 = 60

Total Distance : 1*60 +60=120

Total time taken = 1+ 60/30= 1+2=3

Now,

average speed = total distance/ total time taken

= 120/3

= 40 kmph

Learn more about average speed here;

https://brainly.com/question/12322912

#SPJ2

Write the phrase "the product of 19 and a number" as a mathematical expression.
A) 19 + x
B) 19 - X
C) 19x
OD) 19/x

Answers

Answer:

c

Step-by-step explanation:

product is the answer to a multiplication problem.

145+ (-15) + (-188) =
O 56
0 -58
O 358
O 58

Answers

Q) 145+ (-15) + (-188) = ?

→ 145+ (-15) + (-188)

→ {145 - 15} - 188

→ 130 - 188

→ -58 is the solution.

can you please answer this????

Answers

Answer:

x = 5

Step-by-step explanation:

I'm taking all bases as b so not typing it

2/3 log 125 = log (125^2/3) = log 25

1/2 log 9 = log (9^1/2) = log 3

So we can rewrite the equation as,

log x = log 25 + log 3 - log 15

or, log x = log (25×3) - log 15

or, log x = log 75 - log 15

or, log x = log (75/15)

or, log x = log 5

or, x = 5

Answered by GAUTHMATH

Which equation is correct?
cos x° = opposite ÷ hypotenuse
sin x° = hypotenuse ÷ opposite
cos x° = hypotenuse ÷ opposite
sin x° = opposite ÷ hypotenuse

Answers

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

SOH - CAH - TOA

SOH: Sin(θ) = Opposite / Hypotenuse

CAH: Cos(θ) = Adjacent / Hypotenuse

TOA: Tan(θ) = Opposite / Adjacent

Answer:

last option

Step-by-step explanation:

Sin is opposite/negative

Find the area of ​​a 10 cm sphere
.
help

Answers

Answer:

that's 4,188.8 if it's gonna be a 10cm sphere

Use implicit differentiation to solve that the derivative

Answers

Given

e ˣʸ = sec(x ²)

take the derivative of both sides:

d/dx [e ˣʸ] = d/dx [sec(x ²)]

Use the chain rule:

e ˣʸ d/dx [xy] = sec(x ²) tan(x ²) d/dx [x ²]

Use the product rule on the left, and the power rule on the right:

e ˣʸ (x dy/dx + y) = sec(x ²) tan(x ²) (2x)

Solve for dy/dx :

e ˣʸ (x dy/dx + y) = 2x sec(x ²) tan(x ²)

x dy/dx + y = 2x e ⁻ˣʸ sec(x ²) tan(x ²)

x dy/dx = 2x e ⁻ˣʸ sec(x ²) tan(x ²) - y

dy/dx = 2e ⁻ˣʸ sec(x ²) tan(x ²) - y/x

Since e ˣʸ = sec(x ²), we simplify further to get

dy/dx = 2 tan(x ²) - y/x

I need help with this ASAP!!!

Answers

Answer:

y=-4x-6

Step-by-step explanation:

It jwust is mwannn

Simplify.
2 x (3-1) + 3
07
8
O 10
O 11

Answers

Answer:

7

Step-by-step explanation:

2 x (3-1) + 3

Evaluate using PEMDAS

Parenthesis

Exponents

Math and Division ( left to right )

Addition and Subtraction ( left to right )

2 x (3-1) + 3

According to PEMDAS we do the operations inside of the parenthesis first

3 - 1 = 2

We now have: 2 x 2 + 3

Next we do exponents

There are no exponents so let's move on to multiplication and division

There is indeed multiplication so we do it

2 x 2 = 4

We now have: 4 + 3

Finally we do the addition

4 + 3 = 7

The answer is 7

Simplify -3[5 - (-8 + 6)]

Answers

Answer: -21

[tex]-3[5 - (-8 + 6)]\\=-3[5 - (-2)]\\=-3[5+2]\\=-3(7)\\=-21[/tex]

Answer:

-21

Step-by-step explanation:

-3[5 - (-8 + 6)]

Inner parentheses first

-3[5 - (-2)]

Then remaining parentheses

-3[5 +2]

-3(7)

Multiply

-21

Help on #9 thank you

Answers

Twelve fewer than N
Answer : N-12

Graphing an integer problem help please

Answers

Answer:

Step-by-step explanation:

Given function is,

h(x) = 1 - 2x

Domain of the function = {-3, -2, 1, 5}

For range of the function,

Substitute the values of 'x' in the function,

h(-3) = 1 - 2(-3)

       = 7

h(-2) = 1 - 2(-2)

       = 5

h(1) = 1 - 2(1)

     = -1

h(5) = 1 - 2(5)

      = -9

Therefore, set of range for the function will be {7, 5, -1, -9}

Now plot the ordered pairs,

(-3, 7), (-2, 5), (1, -1), (5, -9)

round 11 7/16 to the nearest whole number

Answers

Answer:

11

Step-by-step explanation:

Step 1:  Round [tex]11 \frac{7}{16}[/tex] to the nearest whole number

In order to round up, the fraction must be greater or equal to 1/2.  However, in our problem, it is less than half which means that we do not round up.  Therefore, the answer is 11.

Answer:  11

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