In the late 1980's, WY's regular automobile license plate was 4 digits. How many plates could be made?

Answer:Mean is 22. Median is 19. Mode is 31. Range is 18.

Step-by-step explanation:

Mean: add all the numbers and divide the answer by the number of numbers there were in the beginning.

31+16+13+19+31=110

110/5=22

Median: arrange the numbers in or Eder and find the middle

13,16,19,31,31

The middle is 19.

Mode: is the number that shows up frequently

Mode is 31 as it shows up twice

Range is the difference between the biggest and smallest number

31-13=18

18 is the range.

Answer:

141/12

Step-by-step explanation:

Answer:

3y-x =-6

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

(x0, y0) is the point = (3, -1)

Given the equation 3xs+y = 1

Get the slope

y = -3x + 1

mx = -3x

m = -3

Since the equation needed is perpendicular to the line, the slope will be expressed as;

M = -1/-3

M = 1/3

Substitute and get the equation needed

y-y0 = m(x-x0)

y - (-1) = 1/3(x-3)

y+1 = 1/3(x-3)

3(y+1) = x-3

3y+3 = x-3

3y - x = -3-3

3y-x =-6

This gives the required equation

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

[tex]\hat p_1 = \dfrac{57}{200000}[/tex]

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

[tex]\hat p_2 = \dfrac{142}{200000}[/tex]

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

[tex]Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}[/tex]

[tex]Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}[/tex]

[tex]Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}[/tex]

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

Answer:

y = 16x^5

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

The function f(x) is graphed below.

Use the graph of the function to find, f(-6).

A. -3

B. -1

C. 1

D. 3

Step-by-step explanation:

The function f(x) is graphed below.

Use the graph of the function to find, f(-6).

A. -3

B. -1

C. 1

D. 3

answer -3

Answer:

P(x,y) reflection in x=y line:(y,x)

Answer:

( x+1 ) ( 6x - 1 )

[tex] {a}^{3}. {b}^{2} [/tex]

:D

Explanation:

We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.

Similarly, the b^2 means we have b*b or two copies of b multiplied together.

Answer:

[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]

Step-by-step explanation:

Suppose Kirsten's running rate is  r  meters per second.  This is to be converted to kilometers per minute.

Set up conversion fractions that will get you from

[tex]\frac{\text{m}}{\text{sec}} \rightarrow \frac{\text{km}}{\text{min}}[/tex]

You want to set up fractions so that the  m  on top is replaced with  km  and the  sec  on the bottom is replaced with  min.

[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{km}}{\text{m}} \times \frac{\text{sec}}{\text{min}}[/tex]

To see how the units work, cancel the m on top of the first fraction and the m on the bottom of the second fraction.  Do the same with the sec on the bottom of the first fraction and the top of the third fraction.  What units are left?  km per min!

To finish this, put the appropriate numbers into each fraction.

[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{1 km}}{\text{1000 m}} \times \frac{\text{60 sec}}{\text{1 min}} = \frac{\text{60 km}}{\text{1000 min}}[/tex]

This is what you multiply Kirsten's rate by, so she runs

[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]

Answer:

Option (3)

Step-by-step explanation:

Properties of the equal matrices,

1). Every element of the one matrix are equal to the elements of other.

2). Both the matrices have same dimensions.

If,  [tex]\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}[/tex]

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

[tex]x=2[/tex]

[tex]y+4=0[/tex]

[tex]y=-4[/tex]

[tex]x=-5[/tex]

Therefore, Option (3) will be the correct option.

9514 1404 393

Answer:

  y +2 = (1/3)(x -6)

Step-by-step explanation:

When given a point and a slope, it is convenient to use the point-slope form of the equation for a line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For your point and slope, this is ...

  y +2 = 1/3(x -6)

__

The slope of 1/3 means the graph has a "rise" of 1 for each "run" of 3:

  slope = m = rise/run = 1/3

A graph of it is attached.

Answer:

w = 90 feet and l = 490 feet

Step-by-step explanation:

First, determine what you're given:

Perimeter = 1,160 feet

Perimeter = 1,160 feetlength = (w)idth + 400

idth + 400width = w

Next, solve for the length and the width using the perimeter equation (2l + 2w = Perimeter)

2(400+w) + 2w = 1,160 feet

(800 + 2w) + 2w = 1,160 feet

800 + 2w + 2w = 1,160 feet

800 + 4w = 1,160 feet

{ Subtract 800 from both sides }

4w = 360 feet

{ Divide both sides by 4 to isolate w }

w = 90 feet

Finally, you've solved for the width which is 90 feet. Plug this back into your equation for length;

[ l = 400 + w ]

l = 400 + (90)

l = 490 feet

Since it never hurts to check;

2l + 2w = 1,160 feet

2(400+w) + 2w = 1,160 feet

2(400+90) + 2w = 1,160 feet

✅2(490) + 2(90) = 1,160 feet

Answer:

9.72

Step-by-step explanation:

s1 = 10.6383 ; s2 = 5.21289

x1 = 147.583 ; x2 = 136.417

n1 = 12 ; n2 = 12

df1 = n1 - 1 = 12 - 1 = 11

df2 = n2 - 1 = 12 - 1 = 11

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926

Test statistic, T* :

(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))

11.166 / √(7.926 * (1/6)

11.166 / √1.321

11.166 / 1.1493476

T* = 9.7150766

Test statistic = 9.72

Answer:

C) f(x) = 6.25x + 3

Step-by-step explanation:

In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be

f(x) = 6.25x + 3

We can input the # of candies for x and see that it provides the exact results every time as seen in the table.

f(x) = 6.25(1) + 3 = 9.25

f(x) = 6.25(2) + 3 = 15.50

f(x) = 6.25(3) + 3 = 21.75

f(x) = 6.25(4) + 3 = 28

Answer:

[tex]S(n-1)=2^{n-2}[/tex]

Step-by-step explanation:

Given that,

The value of [tex]S_n=2^{n-1}[/tex]

We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,

[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]

Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].

Answer:

C. 158

Step-by-step explanation:

215 + (- 57)

215 - 57

158

Answer:

Option C, 158

Step-by-step explanation:

This is the same as expression: 215 - 57

So the answer would be: 158

Hope this helps!

9514 1404 393

Answer:

  8 m

Step-by-step explanation:

The area of a circle of radius r is ...

  A = πr²

The total area of the two circles is ...

  80π m² = πr² +π(2r)² = 5πr²

  r² = 16 m² . . . . . . . . . divide by 5π

  r = 4 m . . . . . . . . . . . positive square root

The radius of the larger circle is 2r = 2(4 m) = 8 m.

Answer:

8 m is the answer.

Step-by-step explanation:

Answer:

19,500 I'm pretty sure

Step-by-step explanation:

3,000 x 6.5 = 19,500

Answer: Hello Luv........

Isolate the variable by dividing each side by factors that don't contain the variable.

x=19

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

9514 1404 393

Answer:

  about 1.4288993 radians

Step-by-step explanation:

The angle to terminal arm A is ...

  ∠A = arctan((-4/5)/(-3/5)) ≈ 4.0688879 radians

The angle to terminal arm B is ...

  ∠B = arctan((-1/√2)/(1/√2)) ≈ 5.4977871 radians

Then the angle between the arms is ...

  5.4977871 -4.0688879 ≈ 1.4288993 . . . radians

Answer:

(H) is your answer i believe

Step-by-step explanation:

i subtracted 18 from each cost then divided it by 4 and got the numbers of game rented.

Answer:

A. f(x)= 8(2)^x

Step-by-step explanation:

hope that helped

Answer:

I agree with gabby because if a bank is robbed you will get your money back from the bank.

if a piggy bank is stolen then you cant get the money inside it back.

Step-by-step explanation:

Answer:

Ryan sprinted 46.33 yards.

Step-by-step explanation:

Ryan sprinted 139 feet.

1 feet = 0.33 Yard

Formula: Divide the length value by 3

Now,

139 ÷ 3 = 46.33

Thus, Ryan sprinted 46.33 yards.

-TheUnknownScientist

x=25

Step-by-step explanation:

2000=400√x

Step 1: Flip the equation.

400√x=2000

Step 2: Divide both sides by 400.

400√x/400=2000/400

√x=5

Step 3: Solve Square Root.

√x=5

x=52(Square both sides)

x=25

Check answers. (Plug them in to make sure they work.)

x=25

Answer:

1055

Step-by-step explanation:

  473

+ 362

---------  3 + 2 = 5, even in base 8

       5

Now 7 + 6 = "thirteen" = 15 in base 8 so write 5 in the next column, carry 1

  1

  473

+ 362

---------  

      55

1 + 4 + 3 = "eight" = 10 in base 8. Write 0 in the next column, carry 1

  1

  473

+ 362

---------  

 1055