The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.
What is the experimental probability of rolling a 2 or a 4?
Enter your answer as a fraction in simplest form, in the box.

Answer:

162 mL

Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

V = \text{2 oz} \times \dfrac{\text{29.57 mL}}{\text{1 oz}} = \text{ 59.14 mL)

(c) Banana flavouring

V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.93 mL}}{\text{1 tsp}} = \textbf{2.46 mL} }

2.Calculate the total volume

Chlorpheniramine = 100      mL

Lidocaine               =   59.14

Banana flavouring =    2.46          

TOTAL                    = 162      mL

Answer:

2 × h

Step-by-step explanation:

h = b ÷ 2   (multiply both sides by 2)

2 × h = b ÷ 2 × 2

2 × h = b

b = 2 × h

Answer:

2h

Step-by-step explanation:

Answer:

fish. pink salmon. 50. i like fish btw

Step-by-step explanation:

Experimental probabilities: Pink Salmon 22%, Yellowfin Tuna 32%, Bluegill 46%. Total probability equals 100%.

To find the experimental probability of each type of fish, we first need to calculate the percentage of each type of fish out of the total number of fish caught.

Experimental Probability ($P$) is given by:

[tex]\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \times 100 \][/tex]

Let's calculate:

1. Pink Salmon:

[tex]\[ P(\text{Pink Salmon}) = \frac{11}{50} \times 100\% = \frac{11}{50} \times 100\% = 22\% \][/tex]

2. Yellowfin Tuna:

[tex]\[ P(\text{Yellowfin Tuna}) = \frac{16}{50} \times 100\% = \frac{16}{50} \times 100\% = 32\% \][/tex]

3. Bluegill:

[tex]\[ P(\text{Bluegill}) = \frac{23}{50} \times 100\% = \frac{23}{50} \times 100\% = 46\% \][/tex]

Now, let's check if the total probability sums up to 100%:

[tex]\[ 22\% + 32\% + 46\% = 100\% \][/tex]

Yes, it does.

So, the experimental probability of catching pink salmon is [tex]\(22\%\),[/tex]yellowfin tuna is[tex]\(32\%\)[/tex], and bluegill is [tex]\(46\%\).[/tex]

Complete question;

What is the probability of selecting each type of fish in an experimental study when the total frequency of fish sampled is 50? The types of fish sampled are pink salmon, yellowfin tuna, and bluegill. The frequencies of each fish type are 11, 16, and 23 respectively.

Answer:

A

Step-by-step explanation:

A: will be the connect with 2 sides of hypotenuse of the triangle

Answer:

x is √868, If rounded then its 29.5 inches

Step-by-step explanation:

The second line has a greater rate of change by 13/4.

To determine the rate of change, or slope, of the given graphed line, we employ the formula for calculating the slope between two points, expressed as:

a = (y2 - y1)/(x2 - x1)

Observing the graphed function, we identify two points, (0, -2) and (4, 0), and apply these coordinates to the slope formula

a = (0 - (-2))/(4 - 0) = 2/4 = 1/2

Having established that the slope of the first line is 1/2, we move on to the second line, which has a slope of 15/4. To find the difference in slopes, we subtract the slope of the first line from that of the second:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

This calculation reveals that the second line has a greater rate of change by 13/4.

In summary, the step-by-step analysis indicates that the slope of the second line exceeds that of the first by 13/4.

The question probable may be:

Consider the two functions. Which statement is true?

A)Function 1 has a greater rate of change by 13/4

B)Function 2 has a greater rate of change by 13/4

C)Function 1 has a greater rate of change by 13/2

D)Function 2 has a greater rate of change by 13/2

Answer:

150 kg

Step-by-step explanation:

The diagonal Piece: √5²+12² = 13

6 pieces: 5, 12, 5, 12, 13, 13

Total length: 2 x(5 + 12 + 13) = 60

Total weight: 60 x 2.5 = 150 kg

Answer:

150 kg

Step-by-step explanation:

The length of the diagonal:

sqrt(12² + 5²)

sqrt(169)

13

Total length:

2(13 + 12 + 5)

2(30)

60m

Mass;

60 × 2.5

150 kg

Answer: the answer is 200

Step-by-step explanation:

Answer  :  Define F as fathers age and S as sons age right now.

Then now they are

(1) 3S = F

and six years ago they were

(2) 5*(S-6) = F-6

calculate 5*(S-6)

5S - 30 = F-6

Subtract left and right side by -F

Add 30 to left and right side

5S - F = 24

Put (2) 3S = F into the equation above

5S - 3S = 24

2S = 24

S = 12

insert result in (2) 3S = F

3*12 = F

36 = F

So the son is 12 years, and the father is 36 years.

"The correct system of equations to represent Kevin's and Daniel's ages is:

1.  k = d + 3

2.  k - 2 = 4(d - 2)

To solve for Kevin's and Daniel's current ages, we can substitute  k  from equation 1 into equation 2.

From equation 1:

k = d + 3

Substitute  k  into equation 2:

(d + 3) - 2 = 4(d - 2)

Now, simplify the equation:

d + 1 = 4d - 8

Combine like terms:

4d - d = 8 + 1

3d = 9

Divide both sides by 3 to solve for  d :

d = [tex]\frac{9}{3}[/tex]

d = 3

Now that we have Daniel's age, we can find Kevin's age by substituting  d  back into equation 1:

k = d + 3

k = 3 + 3

k = 6

Therefore, Kevin is 6 years old and Daniel is 3 years old. The final answer is:

Kevin's age:  k = 6

Daniel's age:  d = 3 "

Answer:

ok thanks for telling us

Step-by-step explanation:

Answer: The first one is 90%.

Step-by-step explanation:

Answer:

 x2 + 8x - 3

Step-by-step explanation:

 1 . ((2x2 +  4) -  5) -  (x2 - 8x + 2)  

2.  Factoring  x2+8x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   8 .

Step 3. -3

  +    

1

  =    

-2

-1

  +    

  3

  =    

2

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored

So that the answer

Answer:

7.875 (not sure what your unit is but include it here)

Step-by-step explanation:

3/4 of 4.5 is 3.375

3.375+4.5=7.875

Answer:

[tex] = 13 \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: 13\\ 5 \sqrt{67} \\ \frac{ \: \: - 65}{ \: \: \: \: \: 02} \\ \\ \\ = 13 \frac{2}{5} [/tex]

Answer:

56.3

Step-by-step explanation:

I believe it is the answer because 3×5×3.75= 56.25, and you can round that to 56.3. pls dont be mad if it's wrong. I'm like 85% confident that's the answer.

Answer:

59 degrees

Step-by-step explanation:

law of cosines states that

for sides A B C and angle c opposite to side C,

[tex]C = \sqrt{A^2 + B^2-2ABcos(c)} \\cos(c) = \frac{c^2-a^2-b^2}{-2ab}[/tex]

cos(b) = [tex]\frac{13^2-6^2-15^2}{-2(6)(15)} = 23/45[/tex]

cos-1(23/45) = b

b = 59

Answer:59

Step-by-step explanation:

C2=a2+b2-2ab cosC

13x13=15x15+6x6-2(15)(6)cosC

169=225+36-180cosC

169=261-180cosC

-92=180cosC

-92/-180=cosC

C=arccos92/180. On your calculator it will say cos-1

C=59.23 or m<B = 59. Rounded to the nearest degree.

Hey there!

| x + 11| < 17

Solving for your ABSOLUTE VALUE

x + 11 < 17 ; x + 11 > -17

Solving solution #1

x + 11 < 17

SUBTRACT by 11 on your sides

x + 11 - 11 < 17 - 11

Cancel out: 11 - 11 because it gives you 0

Keep: 17 - 11 because it helps us compare with x

17 - 11 = 6

Answer #1: x < 6

Solving solution #2

x + 11 > -17

SUBTRACT by 11 on your sides

x + 11 - 11 > -17 - 11

Cancel out: 11 - 11 because it gives you the value of 0

Keep: -17 - 11 because it helps us compare with x

-17 - 11 = -28

Answer #2: x > -28

Overall answer: x < 6 and x > -28

Its an OPEN circle shaded to the left

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

C) cos²(theta)

Step-by-step explanation:

csc(X) = 1/sin(X)

cos(-X) = cos(X)

tan(-X) = -tan(X)

cot(-X) = -1/tan(X) = -cos(X)/sin(X)

[cos(X) × -cos(X)/sin(X)] ÷ -1/sin(X)

-cos²(X)/sin(X) × -sin(X)

cos²(X)

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When you plug in one, y equals three and you have a point at hat ordered pair

When you plug in zero you get one, and you have a point at that ordered pair

the slop is going up, and in the equation the slope is positive

would it be 10, I think if you divide 21/3 and 6/2 you get 7+3 is equal to 10

Answer:

B ) Negative

Step-by-step explanation:

Given the expression 3xy

when x>0 and y<0

The value of the expression 3xy will be negative.

This is because the product of a positive and negative number will always be negative.

For illustration,

Let x=5>0 and y=-5<0

3xy=3(5)(-5)=-75

NOTE:

[tex]-X-=+\\-X+=-\\+X+=+[/tex]

Answer:

5.6 thousand

Step-by-step explanation:

To find the mean absolute deviation (MAD), first find the mean (or average).

μ = (41 + 38 + 36 + 57 + 43) / 5

μ = 43

Next, subtract the mean from each value and take the absolute value.

|41 − 43| = 2

|38 − 43| = 5

|36 − 43| = 7

|57 − 43| = 14

|43 − 43| = 0

Sum the results and divide by the number of animals.

MAD = (2 + 5 + 7 + 14 + 0) / 5

MAD = 5.6

Answer:

43 thousand dollars

Given:

Given that O is the center of the circle.

AB is tangent to the circle.

The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°

We need to determine the measure of ∠ABO.

Measure of ∠ABO:

The measure of ∠ABO can be determined using the triangle sum property.

Applying the property, we have;

[tex]\angle ABO+\angle BAO+\angle AOB=180^{\circ}[/tex]

Substituting the values, we get;

[tex]\angle ABO+90^{\circ}+68^{\circ}=180^{\circ}[/tex]

Simplifying, we get;

[tex]\angle ABO+158^{\circ}=180^{\circ}[/tex]

          [tex]\angle ABO=22^{\circ}[/tex]

Thus, the measure of ∠ABO is 22°

Answer:

The outlier is of all those number is 96 and 29

Answer:

2. The transformation rule is (x, y) -> (x + 0, y + 4).

Step-by-step explanation:

The true statements about the translation are:

2. The transformation rule is (x,y) = (x+0.7+4).

3. The transformation is a vertical translation.

The vertices are given as:

V(-2, 3) to V-2,7)

From the above vertices, we have the following transformation rule

(x,y) = (x+0.7+4).

Notice that the x-coordinate remains unchanged,

This means that the transformation is a vertical translation.

Hence, the true statements about the translation are: (2) and (3)

Read more about translation at:

https://brainly.com/question/11468584

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (131/420076) = 0.0003118483 = 0.0312%

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

Answer:

(-7,-6)

Step-by-step explanation:

-10 + 3 = -7

6 - 12 = -6

(-7,-6)

Answer: 29cm

Step-by-step explanation:

20^2+21^2=841

Then the square root of 841 is 29

The third straw should be 29cm long in order to form right angles triangles

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

adjacent = 20 cm
Opposite side = height = 21cm

Required

Base of the ladder

Use the theorem

c^2 = 20^2 + 21^2

c^2 =  400 + 441
c^2 = 841
c = 29cm

The third straw should be 29cm long in order to form right angles triangles

Learn more on pythagoras theorem here: https://brainly.com/question/343682