assume that for a particular group of students, the event is a senior and is female are independent. If 30% of the students are seniors and 54% of the female what is the probability of being a male senior?​

Answer:

x>-1

Step-by-step explanation:

Answer:

1000/800 = 125% profit

Answer:

25%

Step-by-step explanation:

Profit = Selling price - Cost price

= 1000 - 800

= $200

%Profit = Profit

_____. × 100. ( profit over cost price times 100)

Cost Price

= 200

____. × 100%

800

= 25%

Answer: 75 students

Step-by-step explanation:

Skyler goes to a school that has 100 students in it. She asks 40 random students if they like the new 8.30 am start to the day and 30 of them say no they don't like it. This shows that: 30/40 = 3/4 of the students don't like it.

Since the school has 100 students, the number of students that doesn't like the 8.30 a.m start will be:

= 3/4 of 100

= 3/4 × 100

= 3 × 25

= 75

Answer:

97.5%

Step-by-step explanation:

Solution:-

- Denote a random variable,

           X: Scores of all juniors in a school district centralized test.

- The random variable ( X ) follows normal distribution with the corresponding parameters:

                         X ~ Norm ( μ , σ^2 )

Where,     μ = Mean score

                σ = standard deviation of scores secured

- The given parameters for the normal distribution are:

                        X ~ Norm ( 74 , 8^2 )

- To draw a Normal curve we need to draw a bell shaped curve and annotate the following descriptions:

      Mean ( μ ) : The vertical center-line that bifurcates the normal curve

      1st standard deviation ( μ ± σ ) : First small division to the left and right about the mean ( μ ). [ 74 - 8 , 74 + 8 ] = [ 66 , 82 ]

      2nd standard deviation ( μ ± 2σ ) : Second small division to the left and right about the mean ( μ ). [ 74 - 16 , 74 + 16 ] = [ 58 , 90 ]

      3rd standard deviation ( μ ± 3σ ) : Third small division to the left and right about the mean ( μ ) - tailed. [ 74 - 24 , 74 + 24 ] = [ 50 , 98 ]

- Mark the associated percentage of scores that lies between 1st, 2nd and 3rd standard deviations from the mean ( μ ). Apply the Empirical rule of statistics. Which states:

    p (  μ - σ  ,  μ + σ ) = p ( 66 , 82 ) = 67 %

    p (  μ - 2σ  ,  μ + 2σ ) = p ( 58 , 90 ) = 95 %

    p (  μ - 3σ  ,  μ + 3σ ) = p ( 50 , 98 ) = 99.7 %

- See the attachment for the complete diagram.

- To determine the percentage of students who scored no more than 90 on the test.

- Employ the use of standardizing the required probability by using the following relation:

          p ( X < x ) = p ( Z < [ (x - μ) / σ ] )

          p ( X < 90 ) = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < 2 )

- We will employ the use of Empirical rule of second deviation ( μ ± 2σ ) to evaluate the required percentage:

       p (  μ - 2σ  < X <  μ + 2σ ) = p ( 58 , 90 ) = 95 %

       1 - p ( 58 < X < 90 ) = 1 - 0.95 = 0.05

       p ( X > μ + 2σ ) = p ( X > 90 ) = [ 1 - p ( 58 < X < 90 ) ] / 2

                                                      = [ 1 - 0.95 ] / 2

                                                      = 0.05 / 2

                                                      = 0.025

Hence,

     p ( X < 90 ) = p ( Z < 2 ) = 1 - p ( X > 90 )

                                            = 1 - 0.025

     Answer                          = 0.975 ( 97.5 )%        

Answer:

Step-by-step explanation:

Let x be the random variable representing the algebra test scores of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 81.5

σ = 5.1

the probability that a student scores below 76.4 is expressed as

P(x ≤ 76.4)

For x = 76.4

z = (76.4 - 81.5)/5.1 = - 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.159

Therefore, the number of students that scored below 76.4 is

0.159 × 130 = 21 students

Answer:0.5 Pound

Step-by-step explanation:

Given

Natalia bought [tex]\frac{3}{4}[/tex] of a pound  of flour to bake cookies

She used [tex]\frac{2}{3}[/tex] of it

i.e. She use [tex]\frac{2}{3}\ of\ \frac{3}{4}\ \text{Pound}[/tex]

[tex]=\frac{2}{3}\times \frac{3}{4}[/tex]

[tex]=\frac{1}{2}\ \text{Pound}[/tex]

So she used [tex]\frac{1}{2}\ \text{Pound}[/tex] of flour.

Answer:

[tex]\frac{15}{32}[/tex] cups of bread flour.

Step-by-step explanation:

Multiply 3 [tex]\frac{3}{4}[/tex] by [tex]\frac{1}{8}[/tex]

[tex]\frac{1}{8} * 3 \frac{3}{4} = \frac{1}{8} *\frac{15}{4} =\frac{15}{32}[/tex]

Answer:

Step-by-step explanation:

If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.

Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;

V = dh/dt = -32t+160

at maximum height;

0 = -32t+160

32t = 160

t = 160/32

t = 5seconds

This means that the tennis ball reaches the maximum after 5seconds.

Answer:

5/25

Step-by-step explanation:

Probability would be that you randomly select 5 cards so the selection goes above the fraction and the total amout of cards goes below.

Answer:

3243 / 10829 ≈ 0.2995

Step-by-step explanation:

There are 52 cards in a deck.  5 cards are selected, so the number of possible combinations is ₅₂C₅.

Of the 5 cards selected, 1 is a Jack and 4 are non-Jacks.

There are 4 Jacks in a deck.  The number of ways of choosing 1 Jack from 4 is ₄C₁.

There are 48 non-Jacks in a deck.  The number of ways of choosing 4 non-Jacks from 48 is ₄₈C₄.

So the probability is:

P = ₄C₁ ₄₈C₄ / ₅₂C₅

P = 4 × 194580 / 2598960

P = 778320 / 2598960

P = 3243 / 10829

P ≈ 0.2995

Answer:

As the picture I uploaded, the area is divided into 1 triangle and 2 rectangles.

Add up the area of these figures, we have the total area:

A = area of triangle + area of 2 rectangles.

  = 11 x (3 + 5 + 13 -10)/2 + 4 x 5 + 12 x 13

  = 236.5 (mm2)

Hope this helps!

:)

Answer:

236.5 mm^2.

Step-by-step explanation:

We can split this up into 2 rectangles:

1 rectangle =  8 * 13 = 104mm^2

2nd rectangle = 4 * (13 + 5) = 4 *18 = 72 mm^2

The base of the triangle = 11mm ,

and the height = (3 + 5 + 13) - 10 = 21 - 10 = 11mm.

So it area = 1/2 * 11 * 11

= 60.5 mm^2.

total area = 104 + 72 + 60.5

= 236.5 mm^2.

Answer: 18.38 feet

Step-by-step explanation:

Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.

Mathematically speaking:

√338 = 18.3847 feet  

Since the number after the hundredths place is less than 5:

Length of the wire: 18.34 feet (rounded to the nearest hundredth)

Feel free to ask for more if needed or if you did not understand something.

Answer:

It means line which is chioce 3 or C.

Step-by-step explanation:

Answer:line DC

Step-by-step explanation:because of the line with an arrow on each side. This demonstrates that DC is an entire line

Answer:

y > 4

Step-by-step explanation:

2 (5y-4)>32

Divide each side by 2

2/2 (5y-4)>32/2

5y-4 > 16

Add 4 to each side

5y-4+4 > 16+4

5y > 20

Divide each side by 5

5y/5 > 20/5

y > 4

Step-by-step explanation:

2 (5y - 4) > 32

10y - 8 > 32 (by expanding)

10y> 32 + 8

10y> 40

Y > 40/10

Y=4

Hope this helps..

Answer:

55 ≤ x ≤100

Step-by-step explanation:

Given the battery life equation:  y = -10x +100 where x is hours driving

As we know that the maximum value of y = 100% when x= 0

<=> y ≤100

They are driving from Dallas to San Antonio which is a 4.5-hour drive.

=> x = 4.5 so we substitute x into the equation, we have:

y = -10*4.5 +100

<=> y = -45 + 100 = 55

Hence, the range of this situation is:

55 ≤ x ≤100

Hope it will find you well.

Answers

1.9 hours

Step-by-step explanation:

14 plus 3 = 17

32 divide by 17 = 1.9 hours

1 hour 0.9 multiply by 60

1.9= 1 hour 54 minutes

Step-by-step explanation:

there's the solution ...i hope you can read

Step-by-step explanation:

-13/20 = - 0.65

7/5 = 1.4

So

-0.65 - 1.4

= - 2.05

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

Answer:

Use the degree and the leading coefficient to determine the behavior.

Rises to the left and falls to the right

Step-by-step explanation:

Answer:

y is greater than or equal to 0.5/2.5x-1/2

y is greater than -2x

Step-by-step explanation:

Answer:

3 pounds

Step-by-step explanation:

a pound is 16oz so 3x16=48

Answer:

2880

Step-by-step explanation:

The base is made up of two triangles and a square, if that makes sense. Finding the area of a triangle is (base x height)/2.  

The base of the tiny triangle is 4 because there is 8 inches extra to the 10 inch square. 10 x 4 = 40.

Now we have a 10 by 10 square: 10 x 10 = 100.

So, the area of the trapezoid is 140. There are two trapezoids in this prism, so both bases are 280.

The surface area of the sides are solved by 12 x 50 = 600. Together, the sides equal 1200.

The top is solved by 10 x 50 = 500.

The bottom is solved by 18 x 50 = 900.

Add them all together: 280 + 1200 + 500 + 900 = 2,880

Answer:

Step-by-step explanation:

1) Let w represent the number of weeks and m represent the amount of money that she has in her account after w weeks. Assuming m is increasing at a linear rate. This means that it is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where

d represents common difference in the amount between 2 consecutive weeks.

a = 220 represents the first term of the sequence.

Tn = w = the amount at the end of n weeks

n = m represents the number of weeks

2) The equation used to represent the amount of money Shelly has in her account each week is

w = 220 + (w - 1)d

Answer:

a = 864 m/s^2

Step-by-step explanation:

You have the following equation for the motion of a body:

[tex]s(t)=115t+12t^3[/tex]

The acceleration of the body is given by the second derivative of s(t):

[tex]\frac{ds}{st}=115+12(3)t^2=115+36t^2\\\\\frac{d^2s}{dt^2}=\frac{d}{dt}\frac{ds}{dt}=36(2)t=72t\\\\a(t)=72t[/tex]

After t = 12 s you obtain for the acceleration:

[tex]a(t=12)=72(12)=864\frac{m}{s^2}[/tex]

hence, the acceleration is 864m/s^2 for t=12s

Answer:

Complementary angles are two angles that add up to 90° in total measurement.

Example:

Angle 1 is 34°. It's complement would be 56°.

[tex]90 -34=56[/tex]

Brainilest Appreciated.

Answer:

81

Step-by-step explanation:

9 x 3 x 3 is 81

Answer:

18

Step-by-step explanation:

Area=3x3=9 units

9+9=18

Answer:

1/10 or 0.10 or 10%

Step-by-step explanation:

Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.

Hope this helps! :)

Answer:

28/21

Step-by-step explanation:

tan= opposite/adjacent

Answer:

(2x+3) x (x-7)

Step-by-step explanation: