Please help!!! 10 points for it!!

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

Answer:    4 apples in 1 lb

Step-by-step explanation:

Since there are twice as many apples as large apples, you would multiply

2 x 84 = 168

To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.

168/42=4

Therefore, there is 4 apples in 1 lb.

Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)

Have a nice day! :)

Answer:

u means that to make the equations

Answer:

the line on the point 1.2 and 4.5

Step-by-step explanation:

Answer:

x=9

z=2

Step-by-step explanation:

9514 1404 393

Answer:

  468

Step-by-step explanation:

Men:

  (3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30

Women:

  (4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30

The total number of members over 30 is ...

  180 +288 = 468 . . . members over 30

Answer:

3/24 + 4/24 = 7/24

Step-by-step explanation:

Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.

Answer:

[tex]P_D=61.1*10^{-4}[/tex]

[tex]R_r=480[/tex]

Step-by-step explanation:

From the question we are told that

Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]

Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]

Generally the equation for probability of homicide is mathematically given as

[tex]P=\frac{R}{10^6}[/tex]

Generally the equation for probability of homicide in US is mathematically given as

[tex]P_U=\frac{62.4}{10^6}[/tex]

[tex]P_U=62.4*10^{-4}[/tex]

Generally the equation for probability of homicide in Britain is mathematically given as

[tex]P_B=\frac{1.3}{10^6}[/tex]

[tex]P_B=1.3*10^{-5}[/tex]

a)Generally the difference b/w the probabilities P_D is mathematically given as

[tex]P_D=P_U-P_B[/tex]

[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]

[tex]P_D=61.1*10^{-4}[/tex]

Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

[tex]R_r=\frac{P_U}{P_B}[/tex]

[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]

[tex]R_r=480[/tex]

Answer:

A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.

Step-by-step explanation:

Answer: ok buddy

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

Answer:

8.7°

Step-by-step explanation:

The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.

The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:

base² = 43² + 15²

base² = 2074

base = 45.54 m

Using trigonometric function to find angle A:

tan(A) = base / height

tan(A) = 45.54 / 7

tan(A) = 6.506

A = tan⁻¹ (6.506)

A = 81.3°

Angle of depression = 90° - A = 90 - 81.3

Angle of depression = = 8.7°

Answer:

1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

2) The expected amount of surcharges is $250

Step-by-step explanation:

Given that;

Y      0           1       2        3         4

p(y) 0.50   0.20   0.15   0.10   0.05

1)

Value of E(Y)

E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)

= 0 + 0.20 + 0.3 + 0.3 + 0.2

E(Y) = 1

Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

b)

Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,

E($100Y²) = 100E(Y)²

= 100∑Y²P(y)

= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)

= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )

= 100(2.5)

= $250

Therefore; The expected amount of surcharges is $250

The correct answer is

[tex] = \frac{130}{3} [/tex]

Answer:

Each eraser costs $0.49

Step-by-step explanation:

If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.

1.47 ÷ 3 = 0.49

To prove this, you can multiple 0.49 by three.

0.49 × 3 = 1.47

Therefore, your answer will be $0.49 per eraser.

(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)

Answer:

$0.49

Explanation:

1.47 divided by 3 is 0.49.      

°ω°  

:⊃

°∨°

Answer:

not sure but i think it should be 10.54

Answer:

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Step-by-step explanation:

Step(i):-

The  proportion of the first sample

      [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]

The proportion of the second sample

      [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]

Step(ii):-

Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]

on simplification, we get

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Answer:

abc

Step-by-step explanation:

Answer:

5 liters

Step-by-step explanation:

1,000 milliliters= 1 liter.

5,000/1,000 is 5 liters

Answer:

5 liters

Step-by-step explanation:

but not sure about answer

Answer:

x = 21

Step-by-step explanation:

Add all the angles to get 138 + 2x = 180. Subtract 138 to get 2x = 42. x = 21

Answer:

x = 21

Step-by-step explanation:

Can I have brainliest?

Answer:

In 81 / In 12 ;

log 81 / log 12

Step-by-step explanation:

Log 12 81

Log 81 base 12

According to rule of logarithm :

Log 81 base 12 = (log 81 base 10) / log 12 base 10)

Obtaining the value :

(log 81 base 10) / log 12 base 10) = 1.7684564

Using trial and error method :

log 81 / In 12 = 0.7680308

In 81 / In 12 = 1.7684564

In 81 / 12 = 0.3662040

Hence, the correct answers are :

In 81 / In 12

log 81 / log 12

Answer:

22

Step-by-step explanation:

Answer:

B or C

hope this helps :)

Answer:

63 in^2

Step-by-step explanation:

Area = base x height

Base: 7

Height: 9

9 x 7 = 63

Answer:

63 inches squared or [tex]63in^{2}[/tex]

Step-by-step explanation:

The answer is 63 inches squared.

The area of a parallelogram is always base times height.

In this case, the base is seven and the height is nine.

To find the area, we must multiply nine by seven

We get 63

But, we are multiplying inches and inches together

When we multiply something by itself, it becomes squared

Since we are multiplying inches by inches, it becomes inches squared

Therefore, the area of the shape is 63 inches squared, or

[tex]63in^2[/tex]

The required measure of the radius inscribed in the triangle RST is 11.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2

Now,
Radius = XU
          = -2(2) + 15
          = 11

Thus, the required measure of the radius inscribed in the triangle RST is 11.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ2

Answer:

A.) yes because the scale does not start at 0

Step-by-step explanation:

edge

Answer:

A

Step-by-step explanation:

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49

Answer:

The population had a 400% increase

Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.