5 2/3 x 4 1/2 make sure your anser is correct

Answer:

a) 0.30 (30%)

b) Boy: 0.13 (13%) , Girl : 0.17 (17%)

Step-by-step explanation:

Given:-

- The probability of senior girls attend spring dance, P(GA) = 0.85

- The probability of senior boys attend spring dance, P(BA) = 0.65

- The probability that an attendee wins a prize, P(W) = 0.20

Find:-

Estimate the probability that a randomly selected senior won a prize at the dance.

Construct Arguments If you knew whether the selected student was a boy or a girl, would your estimate change

Solution:-

- First realize that the probability for any senior student to attends the spring dance and winning a prize are independent events.

- So for independent events, the probability that a "girl or a boy" attends the spring dance and wins a prize can be determined:

              P ( GA & W ) = P(GA)*P(W) = 0.85*0.20 = 0.17 (17%)

              P ( BA & W ) = P(BA)*P(W) = 0.65*0.20 = 0.13 (13%)

              P ( (BA & W) U (GA & W) ) = P ( BA & W ) + P ( GA & W )

                                                         = 0.17 + 0.13

              Answer                             = 0.3 (30%)

- So the estimate probability that a randomly selected senior won a prize at the dance is 0.3 or 30% of all attendee.

- If the randomly selected senior was a girl would be the proportion of people who won the prize.

            P ( GA & W ) = 0.17 (17%)

- Similarly, If the randomly selected senior was a boy would be the proportion of people who won the prize.

            P ( BA & W ) = 0.13 (13%)                        

Answer:

a) 30%

b) the estimate wouldnt change as far as the probabilities is been maintained. thre can only be a shift in the gender probability depending on whether there are more number of boys or girls.

Step-by-step explanation:

a) Prob( all senior girl attended) = 85%

    Prob ( all senior boy attended) = 65%

    Prob( won a price)  = 20%

Prob( a senior girl attends and win a price) = 85% x 20%

           = 17%

Prob ( a senior boy attends and win a price) = 65% x 20%

           = 13%

Prob( a senior won a price)  = 17% + 13%

                = 30%

b)   The estimate wouldnt change as far as the probabilities is been maintained. thre can only be a shift in the gender probability depending on whether there are more number of boys or girls.

Answer:

The last option

Step-by-step explanation:

To find a percentage of something you need

[tex]\frac{expected}{total}*100[/tex]

The expected is correct marks, the total is the total amount - then you multiply by 100 to turn the decimal into a percentage.

Answer:

the answer is D

Step-by-step explanation:

Answer:

Initial value is at t = 0

Y-intercept is the initial value

Answer: c=2

Step-by-step explanation: the square root of c^2 equals the squae root of 4 which is 2 so your left with c=2

Answer: n = 8.4

Step-by-step explanation:

40 - 5n = -2

First, subtract 40 from each side of the equation

-5n = -42

Then, divide each side by -5

n = 8.4

The -5 and -42 cancel each other out when dividing, so n = 8.4 is positive.

Answer:

n=8.4

Step-by-step explanation:

To solve, we need to isolate the variable, n

40 -5n =-2

Subtract 40 from both sides

40-40-5n= -2 -40

-5n= -42

Divide both sides by -5

-5n/-5=-42/-5

n=42/5

n=8.4

Answer:

1.  The mean hemoglobin level in men is not equal to the mean hemoglobin level in women and

2. There is more hemoglobin in the average man than in the woman

Step-by-step explanation:

The confidence interval is from

-1.76 g/dl < μ₁ - μ₂ < -1.62 g/dl

Here we note that the range in the confidence interval for the difference between the two means lie in the negative part of the number line which is indicative of that μ₁ - μ₂ ≠ 0  or μ₁ ≠ μ₂

That is the statistic of the confidence interval implies that the mean hemoglobin level in men is not equal to the mean hemoglobin level in women and

That there is more hemoglobin in the average man than in the woman.

Answer:

Step-by-step explanation3:45

Answer:

3:20 p.m

Step-by-step explanation:

Answer:

30% not likely

Step-by-step explanation:

We have 10 marbles

The probability must equal 100%

10% red

60% yellow

----------------

70 %

That leaves 30% for orange

Orange is 30%

This is less than 50% so it is not likely to occur

Answer:

30%

not likely

Step-by-step explanation:

P(orange) = 100 - 10 - 60

= 30%

Less likely or not likely

Answer:

Step-by-step explanation:

It s 55555555

Answer:

18x^2-45x

Step-by-step explanation:

-9x (5-2x)

=-9x X 5-(-9x) X 2x

=-9 X 5x+9 X 2xx

=18x^2-45x

I hope this helps!

Answer:

71.75 milliroentgens per hour

Step-by-step explanation:

The  intensity(I) of Radiation varies inversely as the square of the distance (D) from the machine.

This is written as:

[tex]I \propto \frac{1}{D^2} \\$Introducing the constant of Variation k$\\I = \frac{k}{D^2} \\$When D=3 meters, I=62.5 milliroentgens per hour$\\62.5= \frac{k}{3^2}\\k=62.5 X 9 =562.5\\$Substituting K=562.5 into the variation equation$\\I = \dfrac{562.5}{D^2} \\$Therefore, When D=2.8 meters$\\Intensity,I = \dfrac{562.5}{2.8^2}=$71.75 milliroentgens per hour$[/tex]

Answer:

  3/8

Step-by-step explanation:

1/4 + 1/8 = 2/8 + 1/8 = 3/8

After you give the fractions a common denominator, you can add their numerators to find the numerator of the result.

Mr. Hawkins's combined bonus payments are 3/8 of his salary.

Answer:

all value of x are equal

Step-by-step explanation:

Answer:

A student solved 3/x−4=x/7 in six steps, as shown:

Step 1:  3=x(x−4)/7  

Step 2: 21=x(x−4)

Step 3: 21=x^2−4(x)

Step 4: 0=x^2−4(x)−21

Step 5: 0=(x−7)(x+3)

Step 6: x=−3, x=7

Which statement is an accurate interpretation of the student's work?

A.The student solved the equation correctly.

B.The student made an error in step 2.

C.The student made an error in step 5.

D.Only x=7 is a solution to the original equation.

Option A is the right choice.

Step-by-step explanation:

Given:

An equation and its step-wise work.

We have to check whether the steps are correct or not.

The equation is:

⇒ [tex]\frac{3}{x-4} = \frac{x}{7}[/tex]

Solution:

⇒ [tex]21=x(x-4)[/tex]              ...cross multiplying terms.

⇒ [tex]21=x^2-4x[/tex]    

⇒ [tex]x^2-4x-21=0[/tex]

⇒ [tex]x^2-7x+3x-21=0[/tex] ...using middle term splitting

⇒ [tex]x(x-7)+3(x-7)=0[/tex]

⇒ [tex](x+3)(x-7)[/tex]

⇒ [tex]x=-3\ and\ x=7[/tex]

The student have solved the question correctly.

Answer:

Yellow Bin

Step-by-step explanation:

Yellow Bin

Length = 11.4 inches,

Width = 4.2 inches,

Height =  [tex]\frac{8}{3}[/tex]

Volume of the yellow bin=LWH[tex]=11.4 X 4.2 X \frac{8}{3}=127.68 \:cubic \:inches[/tex]

Red Bin

Length = 9 inches,

Width = 5.45 inches,

Height =  [tex]\frac{11}{5}[/tex]

Volume of the red bin=LWH[tex]=9X 5.45 X \frac{11}{5}=107.91 \:cubic \:inches[/tex]

The yellow bin has a greater volume since 127.68 is greater than 107.91.

Answer:

it is

Step-by-step explanation:

Any number, all by itself, is a monomial, like 5 or 2700.

Answer:

Yes it is a monomial

Step-by-step explanation:

There's only one number, there's no operations to do so its a monomial :)

Answer:

x=-4 or x=-1/2=-0.500

Step-by-step explanation:

Answer:

x= -4 or x= -0.5

Step-by-step explanation:

use a quadratic formula calculator or graph it on desmos

Answer:25

Step-by-step explanation:

15x 2/5=25

Answer:

$37.50

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] of Aiden's money is $15. Half of [tex]\frac{2}{5}[/tex] is [tex]\frac{1}{5}[/tex], so you have to find half of $15 to find out what [tex]\frac{1}{5}[/tex] of Aiden's money is.

15/2 = 7.5. [tex]\frac{1}{5}[/tex] of Aiden's money is $7.50.

7.5 × 5 = 37.5, so Aiden had $37.50 before he put some into his piggy bank.

Answer:

59.1 °

Step-by-step explanation:

-Given that Tan B=1.6732

-Angle B is equivalent to the tan inverse of the tan B value:

[tex]\angle B=Tan^{-1}B\\\\\angle B=Tan^{-1}(1.6732)\\\\=59.1350\approx59.1\textdegree[/tex]

Hence, angle B is 59.1 °

To find the measure of angle B, you can use the inverse tangent function (arctan) to find the angle whose tangent is 1.6732.

The measure of angle B is approximately 59.7 degrees.

To find the measure of angle B, you can use the inverse tangent function (arctan) to find the angle whose tangent is 1.6732. First, convert the tangent value to radians by using the formula tan(B) = opposite/adjacent. Then, take the arctan of B to find the measure in radians. Finally, convert the radians to degrees by multiplying by 180/pi.

Step-by-step:

Plugging in the given value, B ≈ 59.7 degrees to the nearest tenth of a degree.

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Final answer:

To evaluate the expression (2a)³, we cube the numeric term, resulting in 8, and multiply the exponent of the variable 'a' by 3, which gives us the final result of 8a³.

Explanation:

The expression given, (2a)³, requires us to cubing of exponentials. Cubing in mathematics involves raising a number or expression to the third power. In this case, the number 2 and the variable a are multiplied together first, and then that result is raised to the power of three. To evaluate this expression, you would do the following steps:

Combining these results, the expression (2a)³ becomes 8a³.

Answer:

none

Step-by-step explanation:

You will need 592 square inches of cardboard to build the box.

To determine how much cardboard is needed to build the box, we calculate the surface area of the box.

The box has six faces: two of each dimension.

Calculating the area of each pair of faces:

Two faces of (12 in x 8 in):

2 x (12 x 8) = 2 x 96 = 192 square inches

Two faces of (12 in x 10 in):

2 x (12 x 10) = 2 x 120 = 240 square inches

Two faces of (8 in x 10 in):

2 x (8 x 10) = 2 x 80 = 160 square inches

Sum the areas of all faces:

192 + 240 + 160 = 592 square inches

Answer:

The answer to your question is Vertex = (5 , -5)

Step-by-step explanation:

Data

Equation                y = - x² + 10x - 30

Process

1.- Add 30 units in both sides

                             y + 30 = -x² + 10x - 30 + 30

2.- Simplify

                             y + 30 = -x² + 10x

3.- Factor -1 in the right side

                             y + 30 = -(x² - 10x      )

4.- Complete the perfect square trinomial

                             y + 30 - 5²= -(x² - 10x + 5²)

5.- Simplify

                             y + 30 - 25 = -(x² - 10x + 25)

                             y + 5 = -(x - 5)²

6.- Find the vertex

                            Vertex = (5 , -5)

Answer:

The answer to your question is x = -2, y = 5 and z = 7

Step-by-step explanation:

Data

first number = x

second number = y

third number = z

Process

1.- Write equations to solve this problem

                 x + y + z = 10           Equation l

                 2y - x = 12                Equation ll

                  x - y + 2z = 7           Equation lll

2.- Solve equation ll for x

                x = 2y - 12

3.- Substitute the previous equation in equation l and lll

               (2y - 12) + y + z = 10                     (2y - 12) - y + 2z = 7

                2y - 12 + y + z = 10                       2y - 12 - y + 2z = 7

                3y + z = 10 + 12                             y + 2z = 19

                3y + z = 22

4.- Solve for y and z

                     -2(3y + z = 22)

                          y + 2z = 19

                    -6y - 2z = -44

                       y + 2z = 19

                   -5y   + 0 = -25

                      y = -25/-5

                      y = 5

-Find z

                       5 + 2z = 19

                             2z = 19 - 5

                             2z = 14

                               z = 14/2

                               z = 7

5.- Find x

                  x + 5 + 7 = 10

                  x = 10 - 5 - 7

                 x = -2

Listed in order from smallest to largest: -2, 5, 7.

Let's denote the three numbers as follows:

- First number: x

- Second number: y

- Third number: z

We have three equations based on the given information:

1. x + y + z = 10

2. 2y - x = 12

3. x - y + 2z = 7

We can solve this system of equations to find the values of x, y, and z.

From equation 2, we can isolate x:

x = 2y - 12

Now substitute the value of x in equations 1 and 3:

1. (2y - 12) + y + z = 10

3y + z = 22

3. (2y - 12) - y + 2z = 7

y + 2z = 19

Now we have a system of two equations with two variables (y and z):

1. 3y + z = 22

2. y + 2z = 19

Let's solve for one of the variables in terms of the other. From equation 2, we can isolate y:

y = 19 - 2z

Now substitute this value of y into equation 1:

3(19 - 2z) + z = 22

57 - 6z + z = 22

-5z = -35

z = 7

Substitute the value of z back into the equation for y:

y = 19 - 2(7)

y = 5

Now that we have values for y and z, we can substitute them back into the equation for x:

x = 2y - 12

x = 2(5) - 12

x = 10 - 12

x = -2

So, the numbers are:

First number: -2

Second number: 5

Third number: 7

Listed in order from smallest to largest: -2, 5, 7.

Learn more about numbers here

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Final answer:

Without more context, the measure of angle 6 cannot be determined from the given information that angle 5 is 120 degrees.

Explanation:

To determine the measure of angle 6, we need additional information about the context in which angle 5 and angle 6 are related. Since the question does not provide sufficient details, such as whether the angles are supplementary, complementary, or part of a geometric figure like a triangle or polygon, it's not possible to provide the measure of angle 6 based solely on the given information that angle 5 is 120 degrees. In geometry, the relationships between angles often depend on the shapes they are part of or the lines intersecting with them. If angle 5 and angle 6 are supplementary angles (angles that add up to 180 degrees), for instance, we could subtract the measure of angle 5 from 180 degrees to get angle 6. However, without more details, we cannot accurately provide the measure of angle 6.

Answer:

help with what tho

Step-by-step explanation:

Answer:

with what I can't see it

Step-by-step explanation:

Answer:

The coordinates of the base of the antenna is (-6. 1)

Step-by-step explanation:

Here  we are required to find the center of a circle given points on the circumference

The equation of  a circle is

(x - h)² + (y - k)² = r²

Where:

x and y are points on the circumference

h and k are coordinates of the center of the circle and

r = The radius of the circle

Since we have the values for the points on the circumference, we are left with three unknowns, which we can find with three equations as follows;

By plugging in the values for x and y at the respective points we get,

At (9, -19) → (9 - h)² + (-19 - k)² = r²...............(1)

At (-21, -19) → (-21 - h)² + (-19 - k)² = r².....,...(2)

At (14, 16 ) → (14 - h)² + (16 - k)² = r² ............(3)

Solving, we get  from (1)  (-19 - k)² = r² - (9 - h)²

Plugging in the value of (-19 - k)² in equation (2) we get

(-21 - h)² + r² - (9 - h)² = r²

So that (-21 - h)²  - (9 - h)² = r² -  r² = 0

and   (-21 - h)²  - (9 - h)² = 0 gives

60·h +360 = 0 or h = -6

Plugging in the value of h = -6 in equation (3) we get

(14 - (-6))² + (16 - k)² = r²

20² + (16 - k)² = r² .................(4)

similarly from equation (1) we get

(9 - (-6))² + (-19 - k)² = r²

15² + (-19 - k)² = r²  ................(5)

Subtracting equation (5) from (4) gives

20² - 15² +  (16 - k)² - (-19 - k)² = 0

Which gives

-70·k + 70 = 0

or k = 1

Therefore the coordinates of the base of the antenna = (-6. 1).

Answer:

-4

Step-by-step explanation:

Step-by-step explanation:

As it is a quadrilateral so sum of all angles of quadrilateral is equal to 360°

14x - 11° + 8x + 7° + 5x + 18° + 10x + 13° = 360°

37x+ 27° = 360°

37x = 360° - 27°

37x = 333°

x = 333° / 37

Therefore x = 9°

Now

<B = 8 * 9° + 7° = 79°

Hope it will help you.

Answer: The answer is 79.0°

Step-by-step explanation:

A quadrilateral will always have 360° and four sides. Keep that in mind, that's a universal rule of geometry.

Here, the sum of all sides is equal to 360°. Therefore, we make an equation:

[tex](14x-11) + (8x+7) + (5x+18) + (10x + 13) = 360[/tex]

Simplify by adding and subtracting like terms.

[tex]37x +27=360[/tex]

Isolate x by first passing the 27 to the other side.

[tex]37x = 333[/tex]

Divide by 37 to isolate x.

[tex]x = 9[/tex]

To find m∠B, we plug in x to [tex](8x+7)[/tex]

which gives you: [tex](8*9+7) = 79[/tex]

The answer is 79.0°

Curious if it is correct? Let's double check.

Plug in the x=9 to all the x values and add them up. You should get 360, which makes the answer correct.