Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.

Answer:

n + 5

Step-by-step explanation:

"The sum of a number and 5" can be written symbolically as n + 5.

Answer:

there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Step-by-step explanation:

Given that:

A marketing organization claims that more than 10% of its employees are paid minimum wage.

The null hypothesis is:

[tex]H_o : p = 10[/tex]

The alternative hypothesis is:

[tex]H_1 : p > 10[/tex]

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted

i.e Decision Rule: fails to reject the null hypothesis

Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Answer:

w = [tex]\frac{V}{lh}[/tex]

Step-by-step explanation:

We can find the formula for the width by isolating w:

V = lwh

Divide each side by lh to isolate w:

[tex]\frac{V}{lh}[/tex] = w

Answer:

0.619

Step-by-step explanation:

from the question we have the following data:

probability of motor 1 breaking = 65% = 0.65

probability of motor 2 breaking = 35% = 0.35

probability of motor 3 breaking = 5% = 0.05

since we have 3 motors the probability of any of them breaking down is  = [tex]\frac{1}{3}[/tex]

but what the question requires from us is the conditional probability of the first one being installed

we have to solve this questions using bayes theorem

such that:

[tex]\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3} }[/tex]

= [tex]\frac{0.2167}{0.2167+0.1167+0.0167}[/tex]

= [tex]\frac{0.2167}{0.3501}[/tex]

= 0.618966

approximately 0.619

therefore the conditional probability ralph installed the first motor is 0.619

Answer:

(a) X(in '000s) = 4133, 2369, 1295, 928, 679.

(b) The mean number of passengers for these five cruise lines is 1880.8.

(c) The range of the data is 3454.

(d) The standard deviation of the data is 1414.75.

Step-by-step explanation:

We are given that in a recent year, the top five  cruise lines in the world had this many passengers:

4,133,000, 2,369,000, 1,295,000, 928,000, 679,000

(a) Let X = Number of passengers in the top five  cruise lines in the world

Representing each number in terms of thousands  of passengers below;

X(in '000s) = 4133, 2369, 1295, 928, 679

(b) The mean of the data is given by the following formula;

              Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]

Here, n = number of observations in data = 5

So, [tex]\bar X[/tex] = [tex]\frac{4133+2369+1295+928+679}{5}[/tex]

          = [tex]\frac{9404}{5}[/tex] = 1880.8

Hence, the mean number of passengers for these five cruise lines is 1880.8.

(c) The range of the data is calculated by the following formula;

             Range = Highest value - Lowest value

                         = 4133 - 679 = 3454

Hence, the range of the data is 3454.

(d) The standard deviation of the data is given by the following formula;

       Standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]

                      =  [tex]\frac{(4133-1880.8)^{2}+(2369-1880.8)^{2}+.......+(679-1880.8)^{2} }{5-1}[/tex]

                      =  1414.75

Hence, the standard deviation of the data is 1414.75.

Answer:

solution

given=3a+3a^2+3a^3+....+...+...3an

first term(t1)=3a

second term(t2)=3a^2

third term(t3)=3a^3

for arithmetic mean ,d1=d2

d1=t2_t1=3a^2_3a=3a(a_1)

d2=3a^3_3a^2=3a^2(a_1)

here d1 is not equal to d2.

so it's not an arithmetic series.

Again,for geometric mean,r1=r2

r1=d2/d1=3a^2/3a=a

r2=d3/d2=3a^3/3a^2=a

here ,r1 is equal to r2.

so ,it's an geometric series.

Answer:

B

Step-by-step explanation:

since there are 6 bars in one box, you would multiple 6 by 12 and the answer B is just a complicated form of doing this (12 is a dozen but Baker's dozen is 13 just saying)

Answer:

P- value =  0.0069

Step-by-step explanation:

Given that :

sample size n = 1600

The sample proportion  [tex]\hat p[/tex] = 0.42

The population proportion p = 0.39

The null hypothesis and the alternative hypothesis can be expressed as:

[tex]H_o : p =0. 39[/tex]

[tex]H_1 : p >0.39[/tex]

The  test statistics can be computed as follows:

[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.42 - 0.39 }{\sqrt{\dfrac{0.39(1-0.39)}{1600}}}[/tex]

[tex]Z = \dfrac{0.03 }{\sqrt{\dfrac{0.2379}{1600}}}[/tex]

[tex]Z = \dfrac{0.03 }{\sqrt{1.486875 \times 10^{-4}}}[/tex]

[tex]Z = \dfrac{0.03 }{0.0121937484}[/tex]

[tex]Z = 2.4603[/tex]

Z [tex]\simeq[/tex] 2.46

Determine the P-value of the test statistic.

The P- value = P(Z > [tex]Z_o[/tex] )

P- value = 1 - P( Z ≤ 2.46)

Using the Excel Function ( = NORMSDIST (2.46))

P- value = 1 - 0.993053

P- value = 0.006947

P- value =  0.0069    to four decimal places

Answer:

6.7 seconds

Step-by-step explanation:

Let's calculate the maximum height covered by the object

Max height= U²Sin²tita/2g

Where g is acceleration due to gravity

Max height= 40²(sin90)²/(2*9.81)

Max height= 1600/19.62

Max height=81.55 m

Total max height= 30+81.55

Total max height= 111.55 m

Time t it will take to travel from the max height at acceleration of 4.9 m/s²

S= ut + ½at²

u= 0 at Mac height

S= 111.5 m

111.5 = ½(4.9)t²

223/4.9= t²

45.5= t²

6.745 seconds= t

6.7 seconds= t

Answer:

11/20

Step-by-step explanation:

six over ten =6/10=0.6

one over two =1/2=0.5

so one number that can be between them is 0.55

which is 55/100=11/20

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

Answer:

no real solutions

2 different complex solutions

Step-by-step explanation:

b^2 - 4ac = 4^2 - 4(-45)(-1) = 16 - 180 = -164

Answer:

2.33 Seconds

Step-by-step explanation:

The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars.  We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.

To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0.  So we simply set our equation to 0 and solve for t.

y = -6t^2 - 10t + 56

0 = -6t^2 - 10t + 56

0 = -1 (6t^2 + 10t + -56)

0 = -1 (3t - 7) (2t + 8)

(3t - 7) = 0  OR (2t + 8) = 0

3t = 7         OR  2t = -8

t = 7/3        OR    t = -4

Since time will not be negative, we will want to choose the positive solution for this quadratic equation.

Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.

Cheers.

Answer:

2.33

Step-by-step explanation:

Setting $y$ to zero, we find the following:

\begin{align*}

-6t^2 - 10t + 56 &= 0 \\

\Rightarrow \quad 6t^2 + 10t - 56 &= 0 \\

\Rightarrow \quad 3t^2 + 5t - 28 &= 0 \\

\Rightarrow \quad (3t-7)(t+4) &= 0.

\end{align*}As $t$ must be positive, we can see that $t = \frac{7}{3} \approx \boxed{2.33}.$

Answer:

d 0.5282

Step-by-step explanation:

Given the following :

Probability of getting to the bus on time = 70% = P = probability of success = 0.7

(1 - p) = probability of failure = 0.3

Number of trials(n) = 5 days

Number of sucesses (r) = atleast 4 days : >= 4

This is a binomial probability problem

P(r) = nCr × P^r × (1 - P)^(n - r)

P(X >=4) = P(4) + P(5)

P(4) = 5C4 × (0.7)^4 × (0.3)^1 = 0.36015

P(5) = 5C5 × (0.7)^5 × (0.3)^0 = 0.16807

P(4) + P(5) = 0.36015 + 0.16807 = 0.52822

Answer:

The slope of the function is  ²/₃ and since the second derivative is zero, the concavity doesn't exist.

Step-by-step explanation:

Given;

x = 6t

y = 4t - 3

point t = 4

[tex]\frac{dy}{dx} = (\frac{dy}{dt} )/(\frac{dx}{dt} )=\frac{\frac{dy}{dt} }{\frac{dx}{dt}} \\\\\frac{dy}{dt} = 4; \frac{dx}{dt} = 6\\\\\frac{dy}{dx} =\frac{4}{6} = \frac{2}{3}[/tex]

The slope of the function is  ²/₃

take the second derivative of the function;

the second derivative will be zero since the first derivative is a constant value.

[tex]\frac{d^2y}{dx^2} = 0[/tex]

Since the second derivative is zero, the concavity doesn't exist.

Answer:

i tried to answer but the question made no sense

Step-by-step explanation:

Answer:

Widths are 2, 4, 5

Border or the perimeter of all these rectangles = 16

Perimeter of a rectangle

=> 2 ( L + W)

W = Width

L = Length

Area of a rectangle

=> L x W

First rectangle

Perimeter =  2(L+W)

=> 2 (L + 2) = 16

=> 2L + 4 = 16

=> 2L + 4 - 4 = 16 - 4

=> 2L = 12

=> 2L/2 = 12/2

=> L = 6

Length of the First Rectangle = 6

Area = L x W

=> 6 x 2 = 12

Area of the First Rectangle = 12

Second rectangle

Perimeter =  2( L + W)

=> 2 (L + 4) = 16

=> 2L + 8 = 16

=> 2L + 8 - 8 = 16 - 8

=> 2L = 8

=> 2L/2 = 8/4

=> L = 4

Length of the Second Rectangle = 4

Area = L x W

=> 4 x 4

=> 16

Area of the Second Rectangle = 16

Third Rectangle

Perimeter = 2 (L + W)

=> 2 (L + 5) = 16

=> 2L + 10 = 16

=> 2L + 10 - 10 = 16 - 10

=> 2L = 6

=> 2L / 2 = 6/2

=> L = 3

Length of the Third Rectangle = 3

Area = L x W

=> 3 x 5

=> 15

Area of the Third Rectangle = 15

To find which figure covers more spaces, we need to which figure has more area.

=> Rectangle 2 has the largest area = 16

Answer:

(3rd listed choice) Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse."

Step-by-step explanation:

If f(y) = x can be solved for a relation for y that is a function, then f(x) has an inverse. It will be the function defined by y.

Answer:

For the triangle, [tex]x=14[/tex]

For the rectangle, [tex]x=\frac{5}{2}[/tex]

Step-by-step explanation:

To solve for x in these equations, we have treat each side as it's just one number - add them all up.

The perimeter of a triangle will be the sum of all 3 of its sides.

So:

[tex]x + 4 + 2x - 3 + x = 57[/tex]

We can combine like terms to get

[tex]4x + 1 = 57[/tex]

Subtract 1 from both sides:

[tex]4x = 56[/tex]

Divide both sides by 4:

[tex]x = 14[/tex]

For the rectangle, the perimeter is [tex]2l + 2w[/tex], so we can add up the sides.

[tex]5x - 4 + 5x - 4 + 3x + 2 + 3x + 2 = 36[/tex]

Combine like terms:

[tex]16x - 4 = 36[/tex]

Add 4 to both sides:

[tex]16x = 40[/tex]

Divide both sides by 18:

[tex]x = \frac{40}{16}[/tex]

Simplifying this fraction gets us

[tex]\frac{5}{2}[/tex]

Hope this helped!

Answer:

thee correct answer is in number.C. 36

Answer:

D

Step-by-step explanation:

Answer:

I would expect there to be 15 boy names and 10 girl names.

Step-by-step explanation:

There is a 3 to 2 ratio between boy and girl names, and the only numbers that add up to 25 with that ratio are 15 and 10

Answer:

is this helpful

Step-by-step explanation:

0.012,0.12,1.2,12

Answer:

0.012, 0.12, 1.2, 12

Step-by-step explanation:

Look at where the point is located to help figure out the order

Answer:

6:2 or 1:3

Step-by-step explanation:

Not really sure how to explain this, but I hoped this helped!

Answer: 23 flats, 4 rods, 7 little cubes

Step-by-step explanation: 2300 + 40 + 7 = 2347

The only correct representation for 2,347 is 2 large cubes, 3 flats, 4 rods, 7 little cubes

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To represent 2,347 using base-ten blocks, we need:

2 thousands (represented by 2 large cubes)

3 hundreds (represented by 3 flats)

4 tens (represented by 4 rods)

7 ones (represented by 7 little cubes)

So we should have:

2 large cubes + 3 flats + 4 rods + 7 little cubes

Therefore, any option that does not have 2 large cubes, 3 flats, 4 rods, and 7 little cubes is not a correct representation for 2,347.

Let's check each option:

a) 2 large cubes, 3 flats, 4 rods, 7 little cubes

This is a correct representation for 2,347.

b) 3 large cubes, 4 flats, 7 rods

This represents 3,470, which is not the same as 2,347.

c) 20 hundreds, 3 tens, 4 ones

20 hundreds would be represented by 20 flats, which is not the same as the 3 flats needed to represent 300. Therefore, this option is not a correct representation for 2,347.

d) 23 hundreds, 4 tens, 7 ones

23 hundreds would be represented by 23 flats, which is not the same as the 3 flats needed to represent 300. Therefore, this option is not a correct representation for 2,347.

Therefore,

The only correct representation for 2,347 is option a), and options b), c), and d) are not correct representations.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

24

Step-by-step explanation:

I belieive it would be 24

correct me if im incorrect

Answer:

false

Step-by-step explanation:

hope this helps✨

Answer:

Irrational

Step-by-step explanation:

Can't be put into a fraction.

Answer:

3

Step-by-step explanation:

Step 1: Recognize you can put 1:12 into a fraction along with 36 students with 'x' as number of teachers when you have 36 students

[tex]\frac{1}{12}[/tex]

[tex]\frac{x}{36}[/tex]

Step 2: Set the 2 fraction equal to each other

[tex]\frac{1}{12} =\frac{x}{36}[/tex]

Step 3: Cross multiple and solve for 'x'

[tex]12x=36\\x=3[/tex]

Therefore there are 3 teachers present when there are 36 students in the class

Answer:

8+10+4+6+y /5=6

find lcm which is 5

(8+10+4+6+y/5)5=(6)5

8+10+4+6+y=30

28+y=30

y=30-28

y=2

Answer:

-18

Step-by-step explanation:

-3 (3)(2)

-9 * 2

-18

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 18}}}}}[/tex]

Step-by-step explanation:

Given, y = 3 , z = 2

To find : value of -3yz

plug the values of y and z

[tex] \sf{ - 3 \times 3 \times 2}[/tex]

Multiply the numbers : - 3 and 3

⇒[tex] \sf{ - 9 \times 2}[/tex]

Multiply the numbers : -9 and 2

⇒[tex] \sf{ - 18}[/tex]

Hope I helped!

Best regards!!