To collect data on the signal strengths in a neighborhood, Briana must drive from house to house
and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her
12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed
the task by himself.

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

x = 55.8

Step-by-step explanation:

sinA/a + sinB/b

label any of them A (the angle) and opposite it will be a (the side)

\( \frac{ \sin(38) }{8} + \frac{ \sin(x) }{11} \)

\(11 \times \frac{ \sin(38) }{8} \)

(you can put ×11 the opposite area as well, it makes the same answer)

=0.84653452.....

\( \sin^{ - 1} (0.84653452)\)

=57.83672257

Answer: You would need to sell $66,667 worth of electronics.

Step-by-step explanation:

We can use equations:

Option A - 20,000 + 0.12x

Option B - 26,000 + 0.03x

If we set them equal to each other, we can find the x value at which the electronics sold give us equal income

20000+0.12x = 26000+0.03x

0.9x = 6,000

x = 66,666.67

The solutions for the given system of equations are (-9, 33) and(-2, 12).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

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Answer:

Step-by-step explanation:

To solve the inequality 0.5x - 0.75 > 23.257, we can isolate the variable x by adding 0.75 to both sides, and then dividing both sides by 0.5. Remember to reverse the inequality sign when dividing by a negative number.

0.5x - 0.75 > 23.257

0.5x > 23.257 + 0.75

0.5x > 24.007

x > 24.007 / 0.5

x > 48.014

Therefore, the values of x that satisfy the inequality are greater than 48.014. Among the given choices, only 28 is greater than 48.014, so the answer is x = 28.

The correct inequality is x ≥ 8.

An inequality is a relation between two numbers or expressions that are not equal.

It can show which of them is greater or smaller by using symbols like < or >.

It can also be a statement of fact about the order relationship of quantities.

Given is an inequality,

0.5x - 0.75 ≥ 3.25

Adding 0.75 to both sides

0.5x -0.75 +0.75 ≥ 3.25 + 0.75

0.5x ≥ 4

Divide both sides by 0.5

(0.5x) / (0.5) ≥ (4) /(0.5)

x ≥ 8

Hence, the correct inequality is x ≥ 8.

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Answer:

7853.98cm²

Step-by-step explanation:

So we know that to find the area of a circle the formula is A=π r²

A = π (50)²

A = π (2500)

A = 7853.98cm²

Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

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Answer:

w=3 or 12

l=3 or 12

Step-by-step explanation:

w×l=36

2w+2l=30

w=(30-2l)/2

=15-l

therefore

(15-l)×l=36

-l^2+15l-36=0

use quadratic formula

l and w= 3 or 12

Answer:

14

Step-by-step explanation:

To make 166 a supplementary angle you should add 14 because supplementary angles equal 180.

Answer:

14

Step-by-step explanation:

Supplementary angles add to 180 degrees.

Let x be the unknown supplement

x+166 = 180

x+166-166 = 180-166

x =14

The unknown supplement is 14

Answer:

a) 0.10565

b) The two values = 4.61712 and

4.78288

c) 4.64088

Step-by-step explanation:

The z score formula we use to solve when given a random number of samples=

The formula for calculating a z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ/√n is standard error

σ is the population standard deviation

n = random number of samples

a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces?

z = (x-μ)/σ/√n

x = 4.60

μ = 4.70

σ = 0.40

n = 25

z = 4.60 - 4.70/0.40/√25

z = -0.10/0.40/5

z = -1.25

P-value from Z-Table:

P(x ≤ 4.60)

= P(x ≤ 4.60)

= P(z = -1.25)

= 0.10565

Therefore, the probability that the sample mean amount of juice will be at least 4.60 ounces is 0.10565

b. The probability is 70% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean?

The probability of 70% = 0.70

The z score for 0.70 = 1.036

This means, -1.036 and +1.036 gives a probability (0.70) or confidence level of 70%

We are to find x(raw score)

We solve using z score formula

For z = +1.036

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

1.036 = x - 4.70/0.40/√25

1.036 = x - 4.70/0.08

Cross Multiply

1.036 × 0.08 = x - 4.70

0.08288 = x - 4.70

0.08288 + 4.70 = x

x = 4.78288

For z = -1.036

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

-1.036 = x - 4.70/0.40/√25

-1.036 = x - 4.70/0.08

Cross Multiply

-1.036 × 0.08 = x - 4.70

-0.08288 = x - 4.70

-0.08288 + 4.70 = x

= 4.61712

Therefore, the two values = 4.61712 and

4.78288

c. The probability is 77% that the sample mean amount of juice will be greater than what value?

We are told to find the value that the sample mean is greater than

The z score for a P(x > z)

= P(x > 0.77)

= -0.739

Using z score formula, we find x first

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

-0.739 = x - 4.70/0.40/√25

-0.739 = x - 4.70/0.08

Cross Multiply

-0.739 × 0.08 = x - 4.70

-0.05912 = x - 4.70

-0.05912 + 4.70 = x

x = 4.64088

Therefore, the value that the probability is 77% that the sample mean amount of juice will be greater than is 4.64088

The probability that the sample mean amount of juice will be at least 4.60 ounces is 0.10565, and the probability is 77% that the sample mean amount of juice will be greater than 4.64088.

Given :

a) The formula of z-score can be used in order to determine the probability that the sample mean amount of juice will be at least 4.60 ounces.

\(z = \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n} }}\)

Now, substitute the values of mean, standard deviation, sample size, and 'x' in the above formula.

\(z = \dfrac{4.6-4.7}{\dfrac{0.40}{\sqrt{25} }}\)

\(z = \dfrac{-0.1}{0.08}\)

\(z = -1.25\)

Now, use the z-table in order to determine the p-value.

\(P(x\leq 4.60)=P(z = -1.25)\)

\(P(x\leq 4.60)=0.10565\)

b) The formula of z-score can be used in order to determine the raw score.

\(z = \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n} }}\)

Now, substitute the values of mean, standard deviation, sample size, and z in the above formula.

\(1.036= \dfrac{x-4.7}{\dfrac{0.40}{\sqrt{25} }}\)

Cross multiply in the above expression.

\(\begin{aligned}\\1.036\times 0.08 &=x-4.70\\x &= 4.78288\\\end{aligned}\)

Now, for z = -1.036 the value of 'x' can be calculated as:

\(-1.036= \dfrac{x-4.7}{\dfrac{0.40}{\sqrt{25} }}\)

Cross multiply in the above expression.

\(\begin{aligned}\\-1.036\times 0.08 &=x-4.70\\x &= 4.61712\\\end{aligned}\)

So, the two values symmetrically distributed around the population mean are 4.78288 and 4.61712.

c) The formula of z-score can be used in order to determine the raw score.

\(z = \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n} }}\)

Now, substitute the values of mean, standard deviation, sample size, and z in the above formula.

\(-0.739= \dfrac{x-4.7}{\dfrac{0.40}{\sqrt{25} }}\)

Cross multiply in the above expression.

\(\begin{aligned}\\-0.739\times 0.08 &=x-4.70\\x &= 4.64088\\\end{aligned}\)

So, the probability is 77% that the sample mean amount of juice will be greater than 4.64088.

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Answer:

The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.

Step-by-step explanation:

Point estimate of a proportion:

The point estimate of a proportion, from a sample, is the sample proportion.

In this question:

2305 working adults, 484 said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. This means that:

\(p = \frac{484}{2305} = 0.21\)

The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.

(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

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There are two parts to this question.  

The first is to recognize that in those four rolls, if any single number turned out to be even, then the product would be even.  So instead of asking, "What's the probability that this turns out to be even?" let's turn it around into "What's the probability that this turns out to be odd?"  The reason for this change is because there's only one way the product can be odd: if every number rolled is odd.

There are four possible rolls.  On each roll, you have 3 possible outcomes that would give you an odd number (1, 3, 5).  So, there are 3x3x3x3 possible combinations of number from the four rolls that could give you all odd numbers.  3^4 = 81.

In general there are 6x6x6x6 possible outcomes in total.  6^4 = 1296.

So the possibility of an odd product is 81/1296 or 1/15.

Since the only other outcome is an even product, that means there's a 15/16 chance of the product being even.  

Answer:it might be A

Answer:

step #1: Set Realistic and Achievable Goals

Step-by-step explanation:

Answer:

See what matters to you.

Step-by-step explanation:

You need to know what you want in order to know what to set goals on. You need to write down everythig while doing this.

HOPE IT HELPED

Answer:

1. 4+x

2. x-6

3. 8x

4. x/7

5. x+5=15

Step-by-step explanation:

Step-by-step explanation:

To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.

a. Finding the value of A:

We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:

70 = 20 + Ae^(0) (since e^0 = 1)

70 - 20 = A

A = 50

So the value of A is 50.

b. Finding the value of k:

We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.

Substituting T = 70 and t = 4 into the equation, we have:

70 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

50 = 50e^(-4k)

Dividing both sides by 50:

1 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(1) = ln(e^(-4k))

0 = -4k

Dividing both sides by -4:

0 = k

However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4(0))

50 = 20 + 50e^0

50 = 20 + 50(1)

50 = 20 + 50

50 = 70

Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.

Let's try another approach:

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

30 = 50e^(-4k)

Dividing both sides by 50:

0.6 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(0.6) = ln(e^(-4k))

ln(0.6) = -4k ln(e)

ln(0.6) = -4k(1)

ln(0.6) = -4k

Simplifying further:

k = ln(0.6) / -4

Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:

k = ln(5/3) / 4

To recap:

a. The value of A is 50.

b. The value of k is approximately k = ln(5/3) / 4

.

Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.

Answer:

answer is given in up paper. where ans is -1/2

Answer:

y=-1/4x-1/2

Step-by-step explanation:

When two lines are parallel, they have the same slope.

So for this line, we already know that the slope (m) has to equal -1/4x.

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

in order to find the equation, we must plug in x and y to solve for b, the y intercept (the value of y when x=0).

Now, let's plug in 2 for x and -1 for y and solve for b:

-1=-1/4(2)+b=-1=-1/2+b=-1+1/2=b

b=-1/2

Hence, the answer is y=-1/4x-1/2

Answer:

The answer is -1/4x - 1/2

Step-by-step explanation:

Just took the Unit Session

Answer:

a) -3/13

b) -1/8

Step-by-step explanation:

a)  - (21 / 7) / (91 / 7) = 3/13

b) (32 / 32 ) / - (256 / 32) = -1/8​

Answer:

Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Answer:

y = 35

Step-by-step explanation:

Adding both sides by 21, the answer will be 35.

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

There are 135 truffles included in the box with dimensions 15 in by 12 in by 1.5 in, assuming each truffle has a volume of two cubic inches.

To determine the number of truffles included in the box, we need to calculate the volume of the box and divide it by the volume of each truffle.

The volume of the box is given by multiplying its length, width, and height:

Volume of box = 15 in * 12 in * 1.5 in = 270 cubic inches

Since each truffle has a volume of two cubic inches, we can divide the volume of the box by the volume of each truffle to find the number of truffles:

Number of truffles = Volume of box / Volume of each truffle

Number of truffles = 270 cubic inches / 2 cubic inches = 135 truffles

Therefore, there are 135 truffles included in the box.

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Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

$10,000

Step-by-step explanation:

Let

Principal= x

Rate = 12%

Time = 2 years

Interest = (Final amount with interest placed on it) - Principal

Therefore,

Interest = 12,400 - x

Using

I = (P·r·t) / 100

Making P, subject of formula,

P = (100·I) / (R·T)

x = [100·(12,400 - x)] / (12.2)

x = (1,240,000 - 100x) / 24

Cross multiply,

24x = 1,240,000 -100x

24x + 100x = 1,240,000

124x = 1,240,000

x = 1,240,000 / 124

x = 10,000

Therefore, the principal, amount we need to invest is

$10,000

Please mark brainliest.

Thanks.

The person that has a faster rate regarding the flyers is Jason.

It should be noted that since Margie hands out 100 flyers in 2 hours, he rate will be 100/2 = 50 flyers per hour.

In the other hand, Jaxon hande over 18 flyers in 15 minutes. Note that 15 minutes = 15/60 = 1/4 hour = 0.25 hour. The rate will be:

= Number of flyers / Time

= 18 / 0.25

= 72 flyers per hour.

Therefore, Jason has a faster rate. This shows the calculation for rates.

The complete question is given below.

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Complete question

Northside High School is having a spaghetti dinner fundraiser.  In order to advertise, students place flyers on neighborhood doors.  Margie hands out 120 flyers in 2 hours. Jaxon hands out 18 flyers in 15 minutes.  Who is able to pass out flyers at a faster rate?

Answer:

7h+1=29 is equal to 7 x 4 + 1=29

Step-by-step explanation:

We know that 7 times 4 = 28. So the value of h is 4. And of course, you add the one.

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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