Identify the lower class​ limits, upper class​ limits, class​ width, class​ midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary.
Age (yr) when award was won: 25-34, 35-44, 45-54, 55-64, 65-74, 75-84, 85-94
Frequency: 29, 34, 16, 3, 5, 1, 2

Greetings from Brasil...

In a linear function, the rate of change is given by M (see below).

M = rate of change

N = linear coefficient

The Function 2 has M = 4, cause

F(X) = 4X + 1

(M = 4 and N = 1)

For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:

M = ΔY/ΔX

M = (3 - 3)/(4 - 0)

M = 0/4 = 0

So, the Function 2 has 4 times more rate of change than the first

Your answer is two!!

Answer:

z=  0.278

Step-by-step explanation:

Given data

n1= 60 ; n2 = 100

mean 1= x1`= 10.4;     mean 2= x2`= 9.7

standard deviation  1= s1= 2.7 pounds ;  standard deviation 2= s2 = 1.9 lb

We formulate our null and alternate hypothesis as

H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)

We set level of significance α= 0.05

the test statistic to be used under H0 is

z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂

the critical region is z > ± 1.96

Computations

z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100

z= 10.4- 9.7/ √ 7.29/60 + 3.61/100

z= 0.7/√ 0.1215+ 0.0361

z=0.7 /√0.1576

z= 0.7 (0.396988)

z= 0.2778= 0.278

Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0  at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.

Answer:

Since the transformation is made by shifting the function right, it is a horizontal transformation.

Answer:

£1960

Step-by-step explanation:

Step 1.

2% = 100% ÷ 50

Step 2.

£2000 ÷ 50 = £40

Step 3.

£2000 - £40 = £1960

Answer:

The spread of the data in Set B is greater than the spread of the data in Set A.

Step-by-step explanation:

Just took the test :3

Answer:

The simplified expression is [tex]\frac{10}{3 a^2 b}[/tex]

Step-by-step explanation:

The given expression is:

[tex]\frac{15b}{4} * \frac{8}{9a^2 b^2}[/tex]

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

[tex]= \frac{120b}{36 a^2 b^2} \\\\[/tex]

Divide both the numerator and the denominator by 12b:

[tex]= \frac{120b /12b}{36 a^2 b^2/12b}[/tex]

The expression finally becomes:

[tex]= \frac{10}{3 a^2 b}[/tex]

Answer:

Step-by-step explanation:

here u go

Answer:

3+x

Step-by-step explanation:

sum= addition

a number= a number

Answer:

3+x  

eplanation                                  

Answer:

Step-by-step explanation:

Let, present age of son be 'x'

present age of father be 'y'

y = 4x→ equation ( i )

After five years,

Son's age = x + 5

father's age = y + 5

According to Question,

[tex]y + 5 = 3(x + 5)[/tex]

Put the value of y from equation ( i )

[tex]4x + 5 = 3(x + 5)[/tex]

Distribute 3 through the parentheses

[tex]4x + 5 = 3x + 15[/tex]

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S. and change its sign

[tex]4x - 3x = 15 - 5[/tex]

Collect like terms

[tex]x = 15 - 5[/tex]

Calculate the difference

[tex]x = 10[/tex]

Now, put the value of X in equation ( i ) in order to find the present age of father

[tex]y = 4x[/tex]

plug the value of X

[tex] = 4 \times 10[/tex]

Calculate the product

[tex] = 40[/tex]

Therefore,

Present age of son = 10

present age of father = 40

Hope this helps..

Best regards!!

This question is incomplete

Complete Question

The function s(V) = ∛V describes the side length, in units, of a cube with a volume of V cubic units.

Jason wants to build a cube with a minimum of 64 cubic centimeters.

What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

a) s > 0

b) s ≥ 4

c) s ≥ 8

d) s ≥ 16

Answer:

b) s ≥ 4

Step-by-step explanation:

From the above question, we are given Volume of the cube = 64cm³

We are given the function

s(V) = ∛V

Hence,

The range for the side length s =

s(V) ≥ ∛V

s(V) ≥ ∛64 cm³

s(v) ≥ 4 cm

Therefore, the reasonable range for s, the side length, in centimeters, of Jason’s cube

Option b) s ≥ 4

Answer:

s≥ 4

Step-by-step explanation:

Answer:

AC = DF

Step-by-step explanation:

The SSS Postulate occurs when all three corresponding pairs of sides are congruent, therefore, the only missing pair is AC = DF.

Answer:

[tex] \boxed{\sf x = -7} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: x: \\ \sf \implies - 30 = 5(x + 1) \\ \\ \sf - 30 =5(x+ 1) \: is \: equivalent \: to \: 5 (x + 1) = - 30: \\ \sf \implies 5(x + 1) = - 30 \\ \\ \sf Divide \: both \: sides \: of \: 5(x+ 1) = - 30 \: by \: 5: \\ \sf \implies \frac{5(x + 1)}{5} = - \frac{30}{5} \\ \\ \sf \frac{5}{5} = 1 : \\ \sf \implies x + 1 = - \frac{30}{5} \\ \\ \sf - \frac{30}{5} = - \frac{6 \times \cancel{5}}{ \cancel{5}} = - 6 : \\ \sf \implies x + 1 = - 6 \\ \\ \sf Subtract \: 1 \: from \: both \: sides: \\ \sf \implies x + (1 - 1) = - 6 - 1 \\ \\ \sf 1 - 1 = 0 : \\ \sf \implies x = - 6 - 1 \\ \\ \sf - 6 - 1 = - 7 : \\ \sf \implies x = - 7[/tex]

Answer:

[tex] \boxed{x = - 7}[/tex]

Step-by-step explanation:

[tex] \mathrm{ - 30 = 5(x + 1)}[/tex]

Distribute 5 through the parentheses

[tex] \mathrm{ - 30 = 5x + 5} [/tex]

Move constant to L.H.S and change its sign

[tex] \mathrm{ - 30 - 5 = 5x}[/tex]

Calculate

[tex] \mathrm{ - 35 = 5x}[/tex]

Swipe the sides of the equation

[tex] \mathrm{5x = - 35}[/tex]

Divide both sides of the equation by 5

[tex] \mathrm{ \frac{5x}{5} = \frac{ - 35}{5} }[/tex]

Calculate

[tex] \mathrm{x = - 7}[/tex]

Hope I helped!

Best regards!!

Answer:

There are 192 window panes in total.

Step-by-step explanation:

Since each window has four window panes across and four window panes down,the number of panes per window is:

[tex]w=4*4=4^2[/tex]

The total number of window panes in 'n' windows is:

[tex]P=n*4^2[/tex]

With n = 12 windows, the expression that describes the total number of window panes is:

[tex]P=12*4^2\\P=192\ panes[/tex]

There are 192 window panes in total.

Answer:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Step-by-step explanation:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Answer:

-3

Step-by-step explanation:

2x + 3 +7x = -24

Add the X together

9x +3 = -24

Bring over the +3. [when you bring over change the sign]

9x = -24 -3

9x = -27

-27 divide by 9 to find X

therefore answer is

x= -3.

Hope this helps

Answer:

x = -3

Step-by-step explanation:

question is

2x + 3 + 7x = -24

First you combine the like terms

2x and 7x you can add them so it will be 9x

so it will then it will be like this:

9x + 3 = -24

now you take the 3 and send it to the other side, and right now the 3 is positive so when it goes to the other side it will turn into -3

so

9x = -24 -3

again now you combine the like terms

-24 -3 = - 27

now you have

9x = -27

now just divide each side by 9

x = -27/9

x = -3

Sorry if this doesnt help

Answer:

y+2 = 4(x-6)

Step-by-step explanation:

The point slope equation of a line is

y-y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y - -2 = 4( x-6)

y+2 = 4(x-6)

Answer:

John is 9, Brian is 6.

Step-by-step explanation:

I)

Let [tex]J[/tex] represent John's age and [tex]B[/tex] represent Brian's age.

John is three years older than Brian. In other words:

[tex]J=B+3[/tex]

The product of their ages is 54. Or:

[tex]JB=54[/tex]

II)

Write this as a quadratic by substituting:

[tex]JB=54\\(B+3)B=54\\B^2+3B-54=0[/tex]

III)

Solve the quadratic:

[tex]B^2+3B-54=0\\B^2-6B+9B-54=0\\B(B-6)+9(B-6)=0\\(B+9)(B-6)=0\\B=-9, 6[/tex]

Since age cannot be negative, Brian must be 6 years old right now.

John is three year older, so John is 9.

Answer:

[tex]\boxed{135\°,315\°}[/tex]

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

[tex]\theta = 135+180n[/tex]

[tex]n[/tex] is any integer value.

The value of [tex]n[/tex] cannot exceed 1 or be less than 0, because the value of [tex]\theta[/tex] must be between 0 and 360 degrees.

[tex]\theta = 135+180(0)[/tex]

[tex]\theta = 135[/tex]

[tex]\theta = 135+180(1)[/tex]

[tex]\theta = 315[/tex]

Answer:  $122.50

Step-by-step explanation:

In          Out

8:00    12:00    = 4 hours

12:45    17:30   = 4.75 hours  

          Total        8.75 hours

8.75 hours x $14/hr = $122.50

Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

 17:30       →         16:90

- 12:45                - 12:45

                            4: 45

4 hours 45 minutes = [tex]4\frac{3}{4}[/tex] = 4.75 hours

Answer:

x=6.28 inches

y=191.08 inches

Step-by-step explanation:

Let the dimensions of the rectangle be x and y

Area of the rectangular sheet

x*y=1200 in^2}

x = circumference of the cylinder

This means x=2πr

Volume of a cylinder=πr^2h

h=y

Volume of the cylind=πr^2(y)=600 in^3

From x=2πr

r=x/2π

Substitute r=x/2π into Volume=πr^2(y)=600 in^3

We have,

Volume of the cylinder=πr^2(y)=600 in^3

π*(x/2π)^2(y)=600

(x^2/4π)y=600

Recall, x*y=1200

y=1200/x

Substitute y=1200/x into (x^2/4π)y=600

(x^2/4π)y=600

(x^2/4π)(1200/x)=600

1200x/4π=600

Multiply both sides by 4π

(x^2/4π)(1200/x)(4π)=600*4π

1200x=2400π

Divide both sides by 1200

1200x/1200 = 2400π/1200

x=2π

Substitute x=2π into y=1200/x

We have,

y=1200/2π

y=600/π

The dimensions are x=2π and y=600/π

Let π=3.14

x=2π

=2(3.14)

=6.28 inches

y=600/π

=600/3.14

=191.08 inches

Answer:

A. $22,223

B. $20,000

C. $20,000

Explanation:

The annual return of the retired couple's investment is called the yield in percentage.

A. If they go for Treasury bills which has a yield of 9%, to attain a return of at least $2,000 their investment must exceed $20,000. 9% of 22,223 = $2,000.07

B. . If they go for Corporate bonds option which has a yield of 11%, to attain a return of at least $2,000; 11% of 20,000 = $2,200

C. . If they go for Junk bonds option which has a yield of 13%, to attain annual return of at least $2,000; 13% of $20,000= $2,600

Answer:

Below

Step-by-step explanation:

The average speed is given by the following formula:

● V = d/t

● d is the distance covered

● t is the time spent to cover the distance d

■■■■■■■■■■■■■■■■■■■■■■■

Ava takes 8 minutes to go from mile marker 0 to mile marker6.

● the distance Ava traveled is 6 miles

● the time Ava spent to reach mile marker 6 is 8 minutes

So the average speed of Ava is:

● V = 6/ 8 = 3/4 = 0.75 mile per min

●●●●●●●●●●●●●●●●●●●●●●●●

Let's The equation of the line that links the number of milemarkers (n) and the time (t).

Ava went from mile marker 0 to mile marker 6.

At t=0 Ava just started travelling from mile marker 0 to 1.

Afrer 8 minutes,she was at mile marker 6.

So 8 min => 6 mile markers (igonring mile marker 0 since the distance there was 0 mile)

6/8= 0.75

Then n/t = 0.75

● n = 0.75 * t

Let's check

● n= 0.75*4 = 3

That's true since after 4 minutes Ava was at mile marker 3.

Answer:

Answer:

C. If 75% of Americans still favor mandatory testing this year, then there is a 3% chance that poll results will show 72% or fewer with this opinion.

Step-by-step explanation:

Significance level or alpha level is the probability of rejecting the null hypothesis when null hypothesis is true. It is considered as a probability of making a wrong decision. It is a statistical test which determines probability of type I error. If the obtained probability is equal of less than critical probability value then reject the null hypothesis. In this question the sample of 1000 Americans is under test. It is the result of the poll that 75% still favor mandatory testing.

Answer:

96 square units

Step-by-step explanation:

The surface area of the prism can be calculated using its net.

The net consists of 3 rectangles and 2 triangles.

The surface area = area of the 3 rectangles + area of the 2 triangles

Area of 3 rectangles:

Area of 2 rectangles having the same dimension = 2(L*B) = 2(7*3) = 2(21) = 42 squared units

Area of the middle triangle = L*B = 7*6 = 42 square units.

Area of the 3 triangles = 42 + 42 = 84 square units.

Area of the 2 triangles:

Area = 2(½*b*h) = 2(½*6*2) = 6*2

Area of the 2 triangles = 12 square units

Surface area of the triangular prism = 84 + 12 = 96 square units.

Answer:

It's 96 unit2

Step-by-step explanation:

I just do it in khan and it's correct

Answer:

  145.39

Step-by-step explanation:

The ratio of supply to demand will be 1 at the equilibrium price:

  S(p)/D(p) = 1 = 140e^(0.005p)/(448e^(-0.003p))

  448/140 = e^(0.005p -(-0.003p)) = e^(0.008p)

  ln(448/140) = 0.008p . . . . . . . . . taking the natural log

  p = ln(448/140)/0.008 ≈ 145.39

The equilibrium price is about $145.39.

Answer:

D. -0.98

Step-by-step explanation:

Well it is a negative correlation and it is really strong but it is impossible to go pasit -1.

Thus,

the answer is D. -0.98

Hope this helps :)

Answer:

D. -0.98

Step-by-step explanation:

The correlation is a negative if the Y value decreases as the x value increases. It is not -1.43 because it is not decraeseing that fast.

Answer: 0.271

Step-by-step explanation:

Probability of complement of an even is 1 decreased by the probability of the event

P(At least one) =1 - P(none)

The probability that of testing negative is 0.9 because the probability of testing positive is 0.1

P( at least one) = 1 - P(none) = 1 - (0.93^3) = 0.271

Answer:  A, B, and D

Step-by-step explanation:

Input the coordinates into the inequality to see which makes a true statement:

                             5x - 2y < 8

A) x = -1, y = 1       5(-1) - 2(1) < 8

                              -5  -  2   < 8

                                    -7     < 8       TRUE!

B) x = -3, y = 4       5(-3) - 2(4) < 8

                              -15  -  8   < 8

                                    -23    < 8     TRUE!

C) x = 4, y = 0       5(4) - 2(0) < 8

                              20  -  0   < 8

                                    20     < 8    False

D) x = -2, y = 3       5(-2) - 2(3) < 8

                              -10  -  6   < 8

                                    -16     < 8   TRUE!

NoAnswer:

Step-by-step explanation:

Cause I’m good