From the 6 male and 11 female salesrepresentatives for an insurancecompany, a team of 4 men and 2women will be selected to attend anational conference on insurancefraud.

Answer:

x= d/ab - c/b

Step-by-step explanation:

i'm just assuming it's solving for X

Answer:

Have a good day

Step-by-step explanation: and so have a good day

Answer:

The equation of the line in slope-intercept form is:

y = x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the points on the line graph

Determining the slope between (0, 4) and (1, 5)

(x₁, y₁) = (0, 4)

(x₂, y₂) = (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [5 - 4] / [1 - 0]

                = 1 / 1  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 1 in the slope-intercept form

y = mx + b

y = (1)x + 4

y = x + 4

Therefore, the the equation of the line in slope-intercept form is:

y = x + 4

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Let's begin by identifying key information given to us:

Hence, A is the correct answer

Answer:

Step-by-step explanation:

The sum of the measures of angles DAC and CAB must equal the measure of angle DAB, since they are adjacent angles that share a common vertex, A. Therefore, we have:

(DAC) + (CAB) = (DAB)

Substituting the given values, we get:

(2y - 7) + (3y + 2) = (DAB)

Simplifying and solving for y, we get:

5y - 5 = (DAB)

y = (DAB + 5) / 5

Now we can find the measure of angle CAB by substituting y back into the given expression for CAB:

<CAB = (3y + 2) = 3[(DAB + 5)/5] + 2 = (3DAB + 17)/5

Therefore, the measure of angle CAB is (3DAB + 17)/5 degrees.

Answer:

Lena is 3 now

Sasha is  9 now

Step-by-step explanation:

L = Lenas age

S = sasha age

Now

S = L+6

In 3 years

(S+3) = 2(L+3)

Substitute the first equation into the second

( L+6+3) = 2(L+3)

Combine like terms and distribute

L+9 = 2L+6

Subtract L from each side

L+9-L = 2L -L+6

Subtract 6 from each side

9-6 =L+6-6

Lena is 3 now

Sasha is L+3 = 3+6 = 9 now

Answer:

lower quartile: 19

upper quartile: 38

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

arrange in ascending order

14,15,16,17,18,20,25

there are odd number of terms so

median = (n+1/2) th observation

here n = 7 which is odd

therefore, 7+1/2 th observation

which is 4th observation

ans) 17

Answer:

Step-by-step explanation:

The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.

  RS +ST = RT

  (5y +5) +(4y +8) = 67

Simplifying, we get ...

  9y +13 = 67

  9y = 54 . . . . . . . . subtract 13

  y = 6 . . . . . . . . . divide by 9

RS = 5y +5 = 5·6 +5 = 35

ST = 4y +8 = 4·6 +8 = 32

The values of interest are ...

Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002

Answer:

21=2w+2w+3    18=4w     w=4.5

Answer:

x=4

Step-by-step explanation:

5x+ 2 = 22

    -2      -2

5x= 20

divide by 5 on both sides

x=4

The simple random sample of 200 eggs

Statistic=Proportion of eggs in the sample that contain salmonella.

p = 0.045

The population is the individuals that are being studied.

population=All eggs in one day

A sample is the part of the population of which information was actually collected.

Sample=The simple random sample of 200 eggs

A parameter is a descriptive measure for a population.

Parameter=Proportion of eggs shipped that day that contain salmonella.

p = 0.1 % =0.001

A statistic is a descriptive measure for a sample.

STATISTIC=Proportion of eggs in the sample that contain salmonella.

p=9÷200 = 0.045

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The volume of KOH needed for complete neutralization is 2.143 ml

Complete neutralization reaction is given below as

                  H₂SO₄  + 2KOH ---------&gt;

                             K₂SO₄ + 2H₂O

Acid to base ratio, na : nb = 1 : 2

where; is the concentration of the acid ( H₂SO₄) = 0.25 M is the concentration of the base (KOH) = 0.35 M is the volume of the acid = 15 ml is the volume of the base = ?

The volume of KOH needed for complete neutralization is 2.143 ml

A neutralization reaction is a chemical process in which an acid and a base combine to produce salt and water as the end products. H+ ions and OH- ions combine to generate water during a neutralization process.

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Answer:

Step-by-step explanation:

Because;

\(\sqrt{-1}=\iota\)

while;

\(-\sqrt{1} =-1\)

Answer:

A. an = 5 + (n - 1)(-4)

Explanation:

The explicit formula of an arithmetic sequence has the form

an = a1 + (n-1)d

Where a1 is the first term and d is a common difference.

Now, the recursive formula is

a1 = 5

an = a(n-1) - 4

So, we know that a1 = 4 and d = -4 because the common difference is the difference between two consecutive values.

Then, the explicit formula is

an = 5 + (n - 1)(-4)

So, the answer is A

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

Step-by-step explanation:

Given the function

f(x) = 2x3 − 6x2 − 18x − 4 on the interval [-10, 10]

At the end point x = -10

f(-10) = 2(-10)³ − 6(-10)² − 18(-10) − 4

f(-10) = 2(-1000)-6(100)+180-4

f(-10) = -2000-600+176

f(-10) = -1824

At the end point x = 10

f(10) = 2(10)³ − 6(10)² − 18(10) − 4

f(10) = 2(1000)-6(100)-180-4

f(10) = 2000-600-184

f(10) = 1400-184

f(10) = 1216

Hence the absolute minimum is at f(x) = -1824 and maximum is at f(x) = 1216

We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.

If there is 6 grams of solid at time t, then f(t) = 6 g.

To estimate the amount of solid 1 second later, we can use the derivative formula:

f'(t) = −2f(t)(5+ f(t))

We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.

To do this, we can use Euler's method, which is an approximation method for solving differential equations.

Euler's method uses the formula:

f(t+1) ≈ f(t) + f'(t)Δt

where Δt is the time step (in minutes).

Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.

Plugging in the values for f(t) and f'(t), we get:

f(t+1) ≈ f(t) + f'(t)Δt

f(t+1) ≈ 6 - 2(6)(5+6)

f(t+1) ≈ -66

Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.

It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.

or maybe im just bad at maths

Answer:

\(y=\frac{1}{4}x-5\)

Step-by-step explanation:

Write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5 ​

Slope-intercept form: y = mx + b

m = slope

b = y-intercept (when x = 0)

Ex:

y = 5x + 2

For our problem:

\(y=\frac{1}{4}x-5\)

Hope this helps!

We know that \(\log_a(bc)=\log_a(b)+\log_a(c)\).

Using this rule,

\(\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)\).

We also know that \(\log_c(a^b)=b\log_c(a)\).

Using this rule,

\(\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)\)

Now we know that \(\log_c(A)=2,\log_c(B)=5\) so,

\(5\cdot2+3\cdot5=10+15=\boxed{25}\).

Hope this helps :)

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

Answer:

Write 13.026 as  

13.026

1

Multiply both numerator and denominator by 10 for every number after the decimal point

13.026 × 1000

1 × 1000

=  

13026

1000

Reducing the fraction gives

6513/500

Step-by-step explanation:

By the polynomial remainder theorem, the remainder is

f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76

(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)