Show working out and a diagram.
A boat leaves a buoy and travels at 12km/h on a bearing of 310T for 2 hours and then changes to travel on a bearing of 040T for 1 hour at 16km/h. What is the bearing of the buoy from the boat?

Answer:

She can make 60 bracelets

Hope this helped! :)

The least-squares regression line is used to predict the values of one variable based on the values of the other variable. In this case, the Verbal score can be predicted from the Math score.

The formula for the least-squares regression line is: Verbal = a + b * Math, where a is the intercept and b is the slope. The least-squares regression line for predicting Verbal score from Math score can be determined using a calculator or a statistical software package.

Once the least-squares regression line has been determined, it can be used to make predictions about the Verbal score for a given Math score. For example, if a student scores 600 on the Math portion of the SAT, the least-squares regression line can be used to predict their Verbal score.

The least-squares regression line is a useful tool for analyzing the relationship between two variables. It can be used to identify patterns and trends, and to make predictions about future values.

However, it is important to remember that correlation does not equal causation, and that other factors may be influencing the relationship between the two variables. The least-squares regression line should be used as a starting point for further analysis, rather than as a definitive answer.

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Answer:

625 cm

Step-by-step explanation:

1.Since there are 25 balloons and 25 cm of ribbon is needed on each balloon

2.Multiply the number of balloons by the number of centimeters needed for each balloon

3. 25×25=625

The probability of drawing a red 7 and black face card is P ( A ) = 1/221

Given data ,

Let the probability of drawing a red 7 and black face card be P ( A )

Now , the compound probability is given by\

The number of red 7 cards = ( red of diamonds 7 + red of hearts 7 )

Probability of drawing a red 7 = 2/52

Now , the card is not replaced , so the total number of remaining cards = 51

And , number of black face cards = 6

Probability of drawing a black face card = 6/51

So , P ( A ) = 2/52 ( 6/51 )

P ( A ) = 12 / 2652

On simplifying , we get

P ( A ) = 1/221

Hence , the probability is P ( A ) = 1/221

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Answer:

Slope = 1

Step-by-step explanation:

(5,7) (-4,-2) Answer:1

Answer:

A =136 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2( 22+12) *8

A = 1/2 ( 34)*8

A =136 cm^2

The probability that the card will be a spade or a club 50%

Probability in math is referred as  how likely an event is to occur, or how likely it is that a proposition is true.

Here we have given that a card is drawn from a standard deck of 52 playing cards.

And we need to find  the probability that the card will be a spade or a club and we have to express your answer as a fraction or a decimal number rounded to four decimal places.

While we looking into the given question, we have identified the the total number of cards is 52.

And the number of spade cards = 13 and the number of club cards = 13

Therefore, the total number of spade and club cards

=> 13 + 13

=> 26

Therefore, the probability of getting a spade or  a club from a single draw is,

=> 26/52

When we simplified this one, then we get,

=> 0.5

When we convert this into percentage then we get

=> 50%.

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Answer:

I think its c

Step-by-step explanation:

there's 6 sides to a cube, and if one of the sides has nine, that means there's 5 sides left, so 5 out of 6 of those sides have a chance of being a new number other than 9

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer: B^5

Step-by-step explanation: truss

Kathleen Ledecky was swimming at a speed of approximately 0.0597 miles per minute during the 1500m freestyle swim

To convert the time in minutes, we can convert 15 minutes and 35 seconds to a decimal of a minute

15 minutes + 35 seconds = 15 + 35/60 = 15.58 minutes

Now, to find the speed in miles per minute, we need to know the distance she swam in miles. The 1500m is approximately 0.932 miles (since 1 mile is approximately 1609.34 meters).

So, her speed in miles per minute would be:

Speed = Distance / Time

Speed = 0.932 miles / 15.58 minutes

Speed = 0.0597 miles per minute

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13 is the inequality so that it represents the whole-number values.

What is Triangle Inequality Theorem?

Triangle inequality, in Euclidean figure, theorem that the sum of any two sides of a triangle is lesser than or equal to the third side; in symbols, a b ≥ c. In substance, the theorem states that the shortest distance between two points is a straight line.

the Triangle Inequality Theorem, which states that

the sum of the lengths of two sides of a triangle must always be greater than the length of the third side

      a = c + b

         = 7 + 6

         = 13

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Answer:

ffggggggggggytdcuihgr

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:Your friend would buy it first by 9 weeks

Step-by-step explanation:

175-45=135, 135/5=29 weeks so it would take you 29 weeks but for your friend it wound take 39-15=24, 24/3=8, 160/8=20 weeks

Friend can buy bicycle before you

A technique to find the value of one single unit and then finding the necessary value by multiplying the single unit value

we already have $45

Need to save 175 -45 = $130

our equation will be

Let us consider , it takes  x weeks to save $ 175 and  we are saving $ 5 per week

45 +  5x = 175

5x = 130

x = 26

It will take   26 weeks to save a total of $ 175

Now calculating for your friend

slope of line ( observe the graph ) = y2 - y1/ x2 - x1 = 39 - 15 / 3-0 = 8

Friend already have $ 15

Money remaining = 175 - 15 = $160

let Number of weeks friend need to save be = y

per week saving =8

Using Unitary Method

8 * y = 160

y = 160 / 8 = 20weeks

Friend can buy bicycle before you

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Answer: 10

10 THE ANSWER

Step-by-step explanation:

Answer:

Answer = 0

Step-by-step explanation:

√2+√3 - √2-√3

  = 0

Hope this  answer helps you :)

Have a great day

Mark brainliest

Answer: the second one

Step-by-step explanation:

because \(-4^{4}\)= -256

Answer:

The area of the shaded part of the rectangle is 28 m².

Step-by-step explanation:

The area of the shaded part of the rectangle can be calculated by subtracting the areas of the two unshaded triangles from the area of the rectangle.

The area of a rectangle is the product of its width and length.

From inspection of the given diagram, the width of the rectangle is 4 m and the length is 14 m. Therefore, the area of the rectangle is:

\(\begin{aligned}\textsf{Area of the rectangle}&=4\cdot 14\\&=56\; \sf m^2\end{aligned}\)

The area of a triangle is half the product of its base and height.

The bases of the two unshaded triangles are congruent (denoted by the double tick marks) and are 7 m.

The height of both triangles is the height of the rectangle, 4 m.

Therefore, the two triangles have the same area.

\(\begin{aligned}\textsf{Area of 2 unshaded triangles}&=2 \cdot \dfrac{1}{2} \cdot 7 \cdot 4\\&=1 \cdot 7 \cdot 4\\&=7 \cdot 4\\&=28\; \sf m^2\end{aligned}\)

To calculate the area of the shaded part of the rectangle, subtract the area of the 2 unshaded triangles from the area of the rectangle:

\(\begin{aligned}\textsf{Area of the shaded part}&=\sf Area_{rectangle}-Area_{triangles}\\&=56-28\\&=28\; \sf m^2\end{aligned}\)

Therefore, the area of the shaded part of the rectangle is 28 m².

Answer:

Press down the brake firmly and smoothly. ...

Don't brake and swerve the car at the same time. ...

Avoid using your transmission for quick stops. ...

Focus on where you want to go, not what you want to avoid.

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

Answer: a. (0, -300), (1, -180), (2, -60), (7, 540)

b. T=120D-300

c. $28080

Step-by-step explanation:

a. T=120D-300 ==> per week

D=0: T=120(0)-300

D=0: T=-300 ==> (0, -300)

D=1: T=120(1)-300

D=1: T=120-300

D=1: T=-180 ==> (1, -180)

D=2: T=120(2)-300

D=2: T=240-300

D=2: T=-60 ==> (2, -60)

D=7: T=120(7)-300

D=7: T=840-300

D=7: T=540 ==> (7, 540)

b. T=120D-300

c. T=120(7)-300

T=840-300

T=$540 per week

1 year = 52 weeks

540*52=$28080

The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.

To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:

Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)

Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)

We will use a one-tailed test with a significance level of α = 0.05.

To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee

P = (60 - 21) / 60 = 0.65

where 60 is the total number of subjects and 21 is the number who prefer instant coffee.

Next, we need to calculate the standard error of the sample proportion:

SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078

where n is the sample size.

Finally, we can calculate the z statistic:

z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923

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The given question is incomplete, the complete question is:

A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)

Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (- 1, 8) ← 2 ordered pairs from the table

m = \(\frac{8-6}{-1-1}\) = \(\frac{2}{-2}\) = - 1 , then

y = - x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 6 ) , then

6 = - 1 + c ⇒ c = 6 + 1 = 7

y = - x + 7 → B

The equation that has 2 as its root is 2x² - 7x + 6 = 0 (option c)

Suppose we are given a quadratic function f(x) = ax² + bx + c, then x = q is a root if f(q) = 0.

Let's check for the given functions:

a.  x² - 4x + 5 = 0

f(2) =  2² - 4(2) + 5

f(2) = 4 - 8 + 5 = 1

Since f(2) ≠ 0, hence 2 is not its root.

b. x² + 3x - 12 = 0

f(2) = 2² + 3(2) - 12

f(2) = 4 + 6 - 12 = -2

Since f(2) ≠ 0, hence 2 is not its root.

c. 2x² - 7x + 6 = 0

f(2) = 2(2)² - 7(2)+ 6

f(2) = 2(4) - 14 + 6 = 0

Hence, x = 2 is its root.

d. 3x² - 6x - 2 = 0

f(2) = 3(2)² - 6(2) - 2

f(2) = 12 - 12 - 2 = -2

Since f(2) ≠ 0, hence 2 is not its root.

Hence, the correct option is   2x² - 7x + 6 = 0 (option c)

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The position of the mass at the instant it attains its extreme displacement is -9/(sqrt(5)+1) feet.

Using Newton's second law and the damping force, we have the differential equation:

\(m*x'' + 2kx' + kx = 0\)

where m = 8/32 = 0.25 slugs is the mass, k is the spring constant, and x' and x'' denote the first and second derivatives of x with respect to time, respectively. From the given information, we have k = (8/4) = 2 lb/ft.

The general solution to this differential equation is:

x(t) = Ae^(-t(sqrt(k/m)-sqrt(k/m+4)) / 2) + Be^(t(sqrt(k/m)+sqrt(k/m+4)) / 2)

where A and B are constants determined by the initial conditions. Using the initial condition that x(0) = 0 and x'(0) = -9 ft/s, we find that A = 0 and B = -9/(sqrt(k/m)+sqrt(k/m+4)).

Therefore, the equation of motion is:

x(t) = -9/(sqrt(k/m)+sqrt(k/m+4)) * e^(t*(sqrt(k/m)+sqrt(k/m+4)) / 2)

To find the time at which the mass attains its extreme displacement, we need to find the maximum value of x(t). Taking the derivative of x(t) with respect to t and setting it equal to zero, we get:

x'(t) = (-9/2) * (sqrt(k/m)+sqrt(k/m+4)) * e^(t*(sqrt(k/m)+sqrt(k/m+4)) / 2) = 0

Solving for t, we get:

t = ln(sqrt(5)-2)/sqrt(5)

Substituting this value of t into the equation of motion, we get the extreme displacement:

x = -9/(sqrt(5)+1)

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Therefore, the length of the training track running around the field is approximately 643.36 meters.

To find the length of the training track running around the field, we need to calculate the perimeter of the rectangular part and add the circumferences of the two semicircles.

The perimeter of a rectangle is found by adding the lengths of all its sides. In this case, the rectangle has two sides measuring 85m and two sides measuring 57m. So, the perimeter of the rectangle is 2 * (85 + 57) = 284m.

The circumference of a semicircle is half the circumference of a full circle. The formula for the circumference of a circle is 2 * π * radius. Since we have semicircles, we need to divide the circumference by 2. The radius of each semicircle is the width of the rectangle, which is 57m. So, the circumference of each semicircle is π * 57 = 179.68m (approx).

Adding the perimeter of the rectangle and the circumferences of the two semicircles:

284 + 2 * 179.68 ≈ 643.36m.

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Answer:

8 minutes

Step-by-step explanation:

The first pump can drain in 8 minutes, therefore:

Rate of the first pump = 1/8

Working together, they can drain the pool in 4 minutes, therefore:

Rate of both pumps = 1/4

Let the time taken by the second pump =t

Rate of the second pump = 1/t.

We then have:

\(\dfrac{1}{8}+ \dfrac{1}{t}=\dfrac{1}{4}\\$Collect like terms$\\\dfrac{1}{t}=\dfrac{1}{4}-\dfrac{1}{8}\\\dfrac{1}{t}=\dfrac{2-1}{8}\\\dfrac{1}{t}=\dfrac{1}{8}\\$Therefore:\\t = 8 minutes\)

It would take the second pump 8 minutes to drain the pool alone.

Answer:

$199.4 in four days

$49.85 in one day

Step-by-step explanation:

249.25 / 5  =49.85

49.85 x 4 = 199.4

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The amount that Tom makes in 4 days is $199.4.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Tom makes $249.25 in 5 days. Therefore, the amount that Tom makes in a day is,

Amount Tom makes in a day = $249.25 / 5 days

                                                = $49.85 per day

The amount of money that Tom can make in 4 days is,

Amount = $49.85 per day × 4 days

              = $199.4

Hence, the amount that Tom makes in 4 days is $199.4.

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