Find the slope of the line

To determine the landing point, we need to balance the time it takes to row the boat with the time it takes to walk.

The woman's rowing speed is 3 km/h, and her walking speed is denoted as w km/h. Let d be the distance from the island to the landing point, and x be the distance she needs to walk from the landing point to reach the town. The total time for rowing (d/3) should be equal to the total time for walking [(12 - x)/w] in order to arrive at the town.

By rearranging the equation, we find that the landing point should be 12 km minus the distance covered by walking (d * w) divided by 3.

The exact value of x depends on the specific distances involved and the woman's walking speed, which are not provided in the given information.


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Answer:

32472

Step-by-step explanation:

You basically do 9×3608 which equals 32472

Answer:

23: 21\(\frac{23}{55}\)  25: 1\(\frac{44}{45}\)

Step-by-step explanation:

Question 23:

1) add the whole numbers together: 15+5=20

2)To add fractions, both need to have the same denominator. Find a number that is a multiple of both denominators (in this case 55)

\(\frac{9}{11}\) → \(\frac{45}{55}\) (multiply the numerator and denominator by 5)

\(\frac{3}{5}\) → \(\frac{33}{55}\) (multiply the numerator and denominator by 11)

3) add the fractions together

\(\frac{45}{55}\) + \(\frac{33}{55}\) = \(\frac{78}{55}\) (add the numerators)

4) Turn the improper fraction into a mixed number

Divide 78 by 55. You'll get a whole number and a remainder. The remainder is the new numerator: In this case 55 enters 78 once with a remainder of 23. Therefore:

1\(\frac{23}{55}\)

5) Add the whole numbers together to get the final answer:

20+1= 21

Answer: 21\(\frac{23}{55}\)

Question 25:

Follow the above steps but subtract instead of adding

The number of false positives is 70, and the number of true positives is 249. Thus:PVP = 249 / (249 + 70)PVP = 0.78. There is a 78% chance that she actually has breast cancer.

The predictive value positive (PVP) is an essential parameter for understanding the accuracy of a medical test. It represents the proportion of people with a positive test result who actually have the condition.

PVP is influenced by the prevalence of the condition and the test's sensitivity and specificity.

In this case, we are given the prevalence of breast cancer in a certain population of women, the sensitivity of a mammogram, and the specificity of a mammogram.

Using this information, we can calculate the PVP for the mammogram in this population.

The prevalence of breast cancer in the population is 0.30. This means that out of 1000 women, 300 have breast cancer.
The sensitivity of the mammogram is 0.83, which means that out of the 300 women with breast cancer, 249 will test positive. The specificity of the mammogram is 0.90, which means that out of the 700 women without breast cancer, 630 will test negative.

Therefore, the number of false positives is 70, and the number of true positives is 249. We can now calculate the PVP:PVP = TP / (TP + FP)where TP is true positives and FP is false positives.

PVP = 249 / (249 + 70)PVP = 0.78Therefore, the PVP for this mammogram in this population is 0.78. This means that if a woman in this population tests positive for breast cancer, there is a 78% chance that she actually has breast cancer.

The predictive value positive is a critical parameter for evaluating the accuracy of a medical test. It indicates the likelihood that people with a positive test result actually have the condition. In this case, the PVP for a mammogram in a population with a prevalence of breast cancer of 0.30, a sensitivity of 0.83, and a specificity of 0.90 is 0.78. This means that if a woman in this population tests positive for breast cancer, there is a 78% chance that she actually has breast cancer.

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Answer:

Step-by-step explanation:

What are you supposed to do

Answer:

11 kilometers per hour is the unit rate in km/hr

Step-by-step explanation:

Using a ratio of 33 kilometers to 3 hours, we know that it is equivalent to a ratio of 11 to 1.

Same as 33 divided by 3 to be equal to 11,

and 3 divided by 3 to equal 1

Thus in 1 hour we know that 11 kilometers will be the distance.

So the final answer is 11 kilometers per hour as the unit rate.

Answer:

$114.46

Step-by-step explanation:

40.51+73.95=114.46

Answer:

a) 68%

b) 99.7%

c) 95%

Step-by-step explanation:

The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.

Empirical rule states that:

68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 146

Standard deviation = 8cm

a) What percent of 8th graders heights are between 138 cm and 162 cm?

146 - sx = 138cm

146 - 138 cm = 8cm

146 - 162 cm = 8cm

Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

b) What percent of 8th graders heights are between 122 cm and 170 cm?

Standard deviation = 8

146 - 122 = 24 cm

146 - 170 = -24cm

24cm/8 cm = 3

Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

c) What percent of 8th graders heights are between 130 cm and 162 cm?

146 cm - 130cm = 16cm

162 cm - 146 cm = 16 cm

16cm/8cm

= 2

Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Answer:

15.7 ft

Step-by-step explanation:

You need to find the circumference.

C= 2πr

r= 2.5

C= 2π2.5

C= 15.7 ft

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

From the steps, Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

What is the Addition Property of Equality?

The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.

In step 3, we have the following equation:

-8x - 42 = -22

Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.

Thus:

-8x - 42 + 42 = -22 + 42

-8x = 20

Therefore,  from From the steps, Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

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Answer:

Step-by-step explanation:

Find the difference of corresponding coordinates

H to H'

K to K'

According to above, the rule is:

Correct choice is B

Answer:

oooooooooooofeqdcefef

Step-by-step explanation:

frwsrehbsrbtrdssswfegrhtjymkj,khgdzer

Answer:

let hitting the red target bey x and blue target be y

then

5x+10y = 135

again

x+y=20

y=20-x

substituting the of y in above equation

5x + 10(20-x) = 135

5x+200-10x = 135

5x= 65

x= 13 answer

Step-by-step explanation:

Jerel runs 4 km on the sixth day.

Let's call the distance Jerel runs on the sixth day "x". We know that he runs 4.2 km each day for the first 6 days, so the total distance he runs in those 6 days is:

Total distance = 4.2 km/day x 6 days = 25.2 km

We also know that the total distance Jerel runs is 25 km, so we can set up an equation to solve for "x":

4.2 km/day x 5 days + x = 25 km

Simplifying the equation, we get:

21 km + x = 25 km

Subtracting 21 km from both sides, we get:

x = 25 km - 21 km

x = 4 km

Therefore, Jerel runs 4 km on the sixth day.

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Answer:

5

Step-by-step explanation:

Step 1:

9 + ( - 4 )      Equation

Step 2:

9 - 4     Open Parentheses

Answer:

5

Adding a negative number is the same thing as subtracting the number.

Hope This Helps :)

The salesman's actual profit earnings after suffering a 5% loss due to damages when assembling the computer is $14,820.

Let's first calculate the original cost price of the computer to the salesman. We know that the salesman sold the computer for $15,600 and made a profit of 25%, which means that the selling price is 125% of the cost price.

Let the cost price of the computer be x.

Selling price = 125% of cost price

$15,600 = 1.25x

Solving for x, we get:

x = $12,480

So, the salesman's cost price of the computer was $12,480.

Now, the salesman suffered a loss of 5% due to damages when assembling the computer.

Loss = 5% of cost price

Loss = 5% of $12,480

Loss = $624

So, the actual earnings of the salesman after the loss is: $15,600 - $624 = $14,820.

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Answer:

shelter B

Step-by-step explanation:

I think im so sorry if im wrong but it seems B is correct

Answer: 153.94cm

Step-by-step explanation:

Answer:

A  =  49 cm ²

Step-by-step explanation:

A = πr²

   = 22/7 * 7 *7

      = 49 cm²

Answer:

40 flowers

Step-by-step explanation:

3 : 8

15 : ?

3 x 5 = 15

8 x 5 = 40

15/40 can be simplified to 3/8

There are 40 flowers.

Hope this helps!

1) The missing angles of the triangle are;

a = 68°

b = 68°

c = 25°

d =  155°

e = f = 43.5°

2) It has been proven that ∠1  + ∠6 = 180°

1) We know that sum of angles in a straight line sums up to 180°. Thus;

a + h = 180

a + 112 = 180

a = 180 - 112

a = 68°

c and j are alternate angles and since j = 25°, then c = 25°.

Sum of angles in a triangle = 180°. Thus;

a + c + (e + f) = 180°

68 + 25 + (e + f) = 180°

93 + (e + f) = 180°

(e + f) = 180° - 93°

(e + f) = 87°

e and f are equal as they are bisected angles and as such;

e = f = 87/2 = 43.5°

b + e + f + 25 = 180

b + 87 + 25 = 180

b = 68°

2) From transversal line theorem, we can say that;

∠1 and ∠5 are corresponding angles

Thus;

∠1 = ∠5

Now, we know that sum of angles in a straight line sums up to 180°.  Thus; ∠5 + ∠6 = 180°

By substitution property, we can say that;

∠1  + ∠6 = 180°

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Answer:

5200 ÷( 28 - 24)

= 5200 ÷ 4

= 1300 second

There are infinitely many inequalities that have b = 4 as a solution.

i.e,

b - 5 < 1

2b + 1 ≥ 9

b/2 > 1

We have,

To find inequalities that have b = 4 as one of its solutions, we need to replace b with 4 in the inequality and check if the inequality is satisfied.

For example, the inequality 2b > 6 has b = 4 as a solution because:

2(4) > 6

8 > 6

This inequality is satisfied when b = 4, so b = 4 is a solution to the inequality 2b > 6.

Similarly, the inequality b + 3 ≤ 7 has b = 4 as a solution because:

4 + 3 ≤ 7

7 ≤ 7

This inequality is satisfied when b = 4, so b = 4 is a solution to the inequality b + 3 ≤ 7.

Other examples of inequalities that have b = 4 as a solution include:

b - 5 < 1 (because 4 - 5 < 1)

2b + 1 ≥ 9 (because 2(4) + 1 ≥ 9)

b/2 > 1 (because 4/2 > 1)

Thus,

There are infinitely many inequalities that have b = 4 as a solution.

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Answer:

$150

Step-by-step explanation:

Answer:

$150

Step-by-step explanation:

Percent Proportions Formula = a/b = n/100

45/b = 30/100

Then do cross multiplication

4500/30

which would equal $150.

Answer:

$20

Step-by-step explanation:

If you buy 4 pounds of chicken, you multiply 5.75 times 4. That gives you $23. You have a coupon for $3 off the final amount. $23-$3 = $20.

Answer:

20

Step-by-step explanation:

(5.75x4)-3

23-3

20

Answer:

38 boxes

Step-by-step explanation:

the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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Answer:

Uhhh

Step-by-step explanation:

Answer:

9/40

Step-by-step explanation:

Tan of an angle equals the length of the side opposite the angle divided by the length of the leg adjacent to the angle. Thus, for angle C, AB is opposite it, which is 9, and although both CA and CB are adjacent, adjacent typically refers to the leg, not the hypotenuse, so we want CB, which is 40. Opposite/Adjacent = 9/40

Answer:

Never

Step-by-step explanation:

This statement is false because a kite is a quadrilateral that has two adjacent equal sides (upper side and lower side). In a parallelogram, two opposite sides are equal in measure.

Never.

A kite is a shape that has two sides short and two sides long. Have you seen a plain kite? Yeah that shape is a kite. No two sides are parallel.

A parallelogram is two sides parallel.