Oceanside Bike Rental Shop charges 17 dollars plus 7 dollars an hour for renting a bike. Mike paid 66 dollars to rent a bike. How many hours did he pay to have the bike checked out ?

Answer:

The answer to your question is 33°

Step-by-step explanation:

Data

∠1 = 39°

∠2 = 108°

∠3 = ?

Process

To solve this problem, remember that the sum of the internal angles in a triangle equals 180°.

Then,

              ∠1 + ∠2 + ∠3 = 180°

-Substitution

             39° + 108° + ∠3 = 180°

-Solve for ∠3

              ∠3 = 180 - 39 - 108

-Simplification

              ∠3 = 180° - 147°

-Result

Answer:

The answer to your question is  x = 14.7  

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

                   x / sin 46 = 7 / sin 20

-Solve for x

                          x = 7 sin 46 / sin 20

-Simplification

                          x = 7 (0.719) / 0.342

                          x = 5.035/0.342

-Result

                         x = 14.7  

Answer:

3(4+5)= 3(4)+3(5)

Step-by-step explanation:

Answer:

3(4+5)= 3(4)+3(5)

Step-by-step explanation:

Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree  (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}[/tex]

Then, we can solve for H in the equation:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft[/tex]

Answer:

Incomplete question check attachment for diagram

Step-by-step explanation:

Two parallel lines, cross by a transversal

The angle between one of the line and the transfer is 125° and this angle is opposite to angle d, so it is vertical opposite angle

Vertically Opposite Angles are the angles opposite each other when two lines cross, so it was the transversal line that cross the parallel lines

and we know that, vertical opposite angle is equal.

Then, d = 125°

Answer:

(C) d=125

Step-by-step explanation:

Answer:

Hence, the minimum required sample size (n) should be = 1692

Step-by-step explanation:

Solution:-

- The estimation error, E = 2%

- The confidence level, CI = 90 %

- Since the proportion of the positive lab tests for prostate cancer are actually proven correct through subsequent biopsy are unknown we will assume the corresponding proportion to be p = 0.58

- The required sample size is a function of confidence value and error of estimation (E):

                            [tex]n = p*( 1 - p ) * (\frac{Z-critical}{E})^2[/tex]        

Where,

- The critical value of the confidence level = 90% would be:

          significance level ( α ) = 1 - CI = 1 - 0.90 = 0.1

          Z-critical = Z_α/2 = Z_0.05 = 1.645  

- The required sample size (n) can be calculated:

           [tex]n = 0.5*( 1 - 0.5 ) * (\frac{1.645}{0.02})^2\\\\n = 1691.265[/tex]

- Hence, the minimum required sample size (n) should be = 1692

Answer:

t represents the number of seconds after the rocket is released

Answer:

A

Step-by-step explanation:

answer is the number of seconds after the rocket is released

Step-by-step explanation:

Cost of 10 miles = 0.25 × 10 = 2.5

When we add 5 = 2.5 + 5 = 7.5

Option A is the correct answer

Answer:

Step-by-step explanation:

250 divided by 20= 12.5

So 12.5 miles per gallon.

12.5. The answer ask for how many miles in 1 gallon. So, you do 250 divided by 20. 250 divided by 20 is 12.5, so he will drive 12.5 or 12 1/2 miles using each gallon of gas.

ANSWER : 12.5 or 12 1/2

Answer:71.5

Step-by-step explanation:

2d+37+1+38=2d+76=180

180-76=2d+143

143divided by 2 =71.5

Answer:

d = 57 degrees.

Step-by-step explanation:

The 3 angles in a triangle add up to 180 degrees, so:

2d + 1 + 38 + 27 = 180

2d = 180 - (1 + 38 + 27)

2d = 180 - 66 = 114

d = 114/2

d = 57 degrees.

The diameter of this circle is 10, the circumference is 31.4 and the area is 58.5.

Because the diameter of a circle is twice its radius, we have:

d = 2*r

d = 2*5 = 10

The following formula calculates the circumference of a circle:

2*pi*r = circumference

2*3.14*5 circumference

10 times 3.14 equals 31.4

The following formula calculates the area of a circle:

area = pi*r²

area = 3.14*(5)²

area = 3.14*25

area = 78.5

This circle has a diameter of 10, a circumference of 31.4, and an area of 58.5.

Complete question:

Find the diameter, circumference, and area of the circle with a radius of 5 cm.

Answer:

CANDIDATE B

Step-by-step explanation:

Answer:

BET! 0.3 + 0.6 + 0.9 + 0.2 + 0.4 = 2.4

I hope this is what you mean I was kind of confused

Step-by-step explanation:

Answer:

1. The median is a much more precise measure of the team's perfomance & it showcases the true picture of the team's average performance

2. This implies that Armand needs to  train for 23 minutes on Sunday

Step-by-step explanation:

The mean (also called arithmetic mean) is the central value of a given set of data; gotten by dividing the sum of the values in the data set by the number of items in the data set.

Mathematically,

Mean (m) = ∑ [tex]\frac{x_i}{n}[/tex]

where [tex]x_{i}[/tex] = the sample

           n = the number of items in the sample

The median is the central value in a distribution or given set of data after the data has been arranged sequentially either in ascending or descending degree. In simpler terms, it is regarded as the 'middle number'. The basic advantage of the median over the mean is that unlike the mean which can be skewed by outliers (extremely high or low values) in a data set, the median stays close to presenting a true value

1.

Data for the basketball team in its last 5 games = 73, 70, 72, 71, 130

Mean (m) = (73 + 70 + 72 + 71 + 130) ÷ 5

Mean (m) = 416 ÷ 5 = 83.2

Arranging the data sequentqially, we have: 70, 71, 72, 73, 130

Median ([tex]{\displaystyle a}[/tex]) = 72

The median is a much more precise measure of the team's perfomance & it showcases the true picture of the team's average performance. The mean was skewed by the result of the team's last game where the team scored 130 points (an outlier)

2.

Armand's training data (the week begins on Monday & ends on Sunday):

Monday = 53 minutes, Tuesday = 24 minutes, Wednesday = 35 minutes,

Thursday = 60 minutes, Friday = 20 minutes, Saturday = 65 minutes,

Sunday = ?

Since Armand intends to practise an average of 40 minutes for the week (7 days), we calculate thus

Mean (m) = sum of time Armand spends training ÷ number of days Armand spends training

Target Mean = 40 minutes, sum of time = 53 + 24 + 35 + 60 + 20 + 65 + x = 257 + x

where x = minutes Armand needs to practice on Sunday to meet his goal

number of days = 7

40 = (257 + x) ÷ 7

Make x the subject of the formula, we have:

257 + x = 40 * 7

x = 280 - 257 = 23

x = 23 minutes

This implies that Armand needs to  train for 23 minutes on Sunday if he is to make his targeted weekly average of 40 minutes

Answer:

128cm

Step-by-step explanation:

since there are 4 triangles that have an  area of 8*4 each, you can multiply 8*4 together to get 32. Then you would multiply 32 by 4 to get the entire area of the whole figure.

Answer:

The radius of the duct is [tex]5\frac{15}{88}\ in[/tex] or [tex]5.17\ in[/tex]

Step-by-step explanation:

we know that

At the point of tangency, the tangent to a circle and the radius are perpendicular lines

so

In the right triangle formed

Applying the Pythagorean Theorem

[tex](r+2.75)^2=r^2+6^2[/tex]

Remember that

[tex]2.75\ in=2\frac{3}{4}=\frac{11}{4}\ in[/tex]

substitute

[tex](r+\frac{11}{4})^2=r^2+6^2[/tex]

solve for r

[tex]r^2+\frac{11}{2}r+\frac{121}{16}=r^2+36\\\frac{11}{2}r=36-\frac{121}{16}[/tex]

Multiply by 16 both sides

[tex]88r=576-121\\88r=455\\r=\frac{455}{88}\ in[/tex]

convert to mixed number

[tex]r=\frac{455}{88}\ in=\frac{440}{88}+\frac{15}{88}=5\frac{15}{88}\ in[/tex] ----> exact value

The approximate value is [tex]5.17\ in[/tex]

Answer:

The point at which the line y  = 2.5·x + 3 intersect with the circle of radius 4 and center (0, 3) is x = 1.49

Step-by-step explanation:

Here we have the equation of a circle = (x - h)² + (y-k)² = r²

Where (h, k) is the coordinate of the center

Therefore, we have

(x - 0)² + (y - 3)² = 4²

Which gives x² + (y - 3)² = 16

Since the line y  = 2.5·x + 3 we have

x² + ( (2.5·x + 3 ) - 3)² = 16

x² + (2.5·x)² = 16

x² + 6.25·x² = 16

7.25·x² = 16

x² = 16/7.25 = 2.21

x = 1.49

That is the line y  = 2.5·x + 3 intersect with the circle of radius 4 and center (0, 3) at x = 1.49.

The point of intersection in the first quadrant of the given line y = 2.5x + 3 and the given circle x² + (y - 3)² = 16, can be found by substituting the equation of the line into the equation of the circle and then solving for x and y.

The subject of this question is the intersection of a line and a circle in the first quadrant of a coordinate plane. The circle is defined by the equation (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. For a circle with center at the origin (0, 3) and radius 4, the equation is x² + (y - 3)² = 16.

The line is defined by the equation y = 2.5x + 3. To find the intersection point, we substitute this equation into the equation of the circle, resulting in x² + (2.5x)² - 6x + 9 = 16. Solving this quadratic equation gives the x-coordinates of the intersection points. Since we are only interested in the first quadrant, we pick the positive root. Substituting this value of x into y = 2.5x +3 gives the corresponding y-coordinate, defining the point of intersection in the first quadrant.

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To find the probability that a randomly selected person is shorter than 61.6 inches, calculate the z-score and use a standard normal distribution table or calculator to find the corresponding probability.

To find the approximate probability that a randomly selected person in the sample is shorter than 61.6 inches, we can use the standard normal distribution.

First, we need to calculate the z-score for 61.6 inches using the formula:
z = (x - mean) / standard deviation

z = (61.6 - 64.2) / 2.6 = -1.0

We can then use a standard normal distribution table or a calculator to find the area to the left of z = -1.0, which represents the probability that a randomly selected person is shorter than 61.6 inches. The probability is approximately 0.1587, or 15.87%.

If your looking to solve the perimeter, your looking for the total distance around the box. Add  up the length of each of the 4 sides. The formula would be: (w x 2)+(Lx2)

(4x2)+(7x2)=

8+14=

22

perimeter is "22"

Answer:

It will take 9 hours with 4 painters  to paint 720 feet of  fence.

Step-by-step explanation:

Given that,

The time needed to paint a fence varies directly with the length of the fence

[tex]t\propto l[/tex] .......(1)

and inversely with the number of painters

[tex]t\propto \frac1P[/tex].....(2)

Combination of (1) and (2) is

[tex]t\propto \frac lP[/tex]

where t represents time, [tex]l[/tex] represents length of fence, P represents number of painters.

Again we can write the above equation as

[tex]\frac{t_1}{t_2}=\frac{\frac{l_1}{l_2}}{\frac{P_1}{P_2}}[/tex]

[tex]\frac{t_1}{t_2}=\frac{l_1P_2}{l_2P_1}[/tex]

Given that,

It takes 7 hours with 2 painters  to paint 280 feet of fence .

We need to find time to paint 720 feet of fence with 4 painters.

[tex]t_1[/tex]=7  hours, [tex]l_1[/tex]=280 feet, [tex]P_1[/tex]=2,

[tex]t_2[/tex]=? , [tex]l_2[/tex] = 720 feet, [tex]P_2[/tex]=4

[tex]\therefore \frac{7}{t_2}=\frac{280\times 4}{720\times 2}[/tex]

[tex]\Rightarrow \frac{t_2}{7}=\frac{720\times 2}{280\times 4}[/tex]

[tex]\Rightarrow {t_2}}=\frac{720\times 2\times 7}{280\times 4}[/tex]

[tex]\Rightarrow t_2=9[/tex]

It will take 9 hours to paint 720 feet of  fence with 4 painters.

The time it takes for four painters to paint a 720 feet fence is calculated using direct and inverse variation, resulting in 9 hours, using the constant of variation determined from the initial condition provided by the student.

Direct and Inverse Variation in Painting Jobs

The student's question involves direct and inverse variation, which means we need to solve for the time based on the length of the fence and the number of painters. Initially, it takes seven hours for two painters to paint 280 feet of fence. This scenario sets up our proportion. When the length of the fence and the number of painters changes, the time to paint the fence will also change according to the direct and inverse relationships.

To find the time it takes for four painters to paint 720 feet of fence we use the formula [tex]T = (k \times L) / P[/tex], where T is the time needed, L is the length of the fence, P is the number of painters, and k is a constant of variation. Using the initial condition, we can solve for k by rearranging the formula to [tex]k = (T \times P) / L[/tex]. Substituting the initial condition values, we find that [tex]k = (7 hours \times2 painters) / 280 feet[/tex], which simplifies to k = 1/20.

To find the time it will take for four painters to paint 720 feet, we use the formula with our calculated constant of variation and the new conditions: T = (1/20 × 720 feet) / 4 painters, which gives us T = 9 hours. Therefore, it will take four painters 9 hours to paint 720 feet of fence.

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Answer:

16

Step-by-step explanation:

It's hard to tell what the what the problem means by "not like the others", but here's a guess.

16 is a perfect square. 16 = 4^2

None of the other numbers are perfect squares.

Also, 16 is not divisible by 3. All other numbers are divisible by 3.

Answer:

16 pi cm^2 or 50.27 cm^2

Step-by-step explanation:

In this question, we are told that by using a particular mug of coffee with a certain diameter, a baker was able to circular cookies from a big sheet of cookie dough so we need to know the area of each of the cookie.

Now this is pretty much straightforward. since we do know the diameter of the mug, finding the area of the cookie is simple!

How do we do this?

what to do simply is to apply the formula of a circle to find the area of a circle of diameter 8cm

mathematically, the area of a circle A = pi * r^2

Since we are given D in the question, we know quite well that we need r from the equation. Mathematically, d = 2r or more specifically r = d/2 = 8/2 = 4cm

now let’s find the area of a circle of radius 4cm

A = pi * 4^2 = 16 pi cm^2 or simply 50.27 cm^2

Answer:

10 sundaes will be vanilla.

Step-by-step explanation:

Given:

Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.

1/3 of the Sunday's are mint ice-cream.

And 1/2 of the remaining sundaes are chocolate.

The rest are vanilla.

Now, to find the number of sundaes that will be vanilla.

Fernando is making sundaes total = 30.

So, the quantity of sundaes that are mint ice-cream:

[tex]\frac{1}{3} \ of\ 30\\\\=\frac{1}{3} \times 30\\\\=10.[/tex]

Thus, 10 sundaes are mint ice-cream.

So, the remaining sundaes are:

[tex]30-10=20.[/tex]

Thus, the remaining sundaes are = 20.

Now, to get the quantity of chocolate sundaes of the remaining sundaes:

[tex]\frac{1}{2} \ of\ 20\\\\=\frac{1}{2} \times 20\\\\=10.[/tex]

Hence, 10 sundaes are chocolate of the remaining 20 sundaes.

As, given the rest are vanilla.

Now, to get the vanilla sundaes we subtract the 10 chocolate ice-cream from the 20 remaining sundaes:

[tex]20-10=10.[/tex]

Therefore, 10 sundaes will be vanilla.

Answer:

0.5

Step-by-step explanation:

Solution:-

- The sample mean before treatment, μ1 = 46  

- The sample mean  after treatment, μ2 = 48

- The sample standard deviation σ = √16 = 4

- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.

                           Cohen's d = [tex]\frac{u2 - u1}{sd_p_o_o_l_e_d}[/tex]

- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:

                          [tex]sd_p_o_o_l_e_d =\sqrt{\frac{SD_1^2 +SD_2^2}{2} }[/tex]

- Assuming that population standard deviation and sample standard deviation are same:

                          SD_1 = SD_2 =  σ = 4

- Then,

                           [tex]sd_p_o_o_l_e_d =\sqrt{\frac{4^2 +4^2}{2} } = 4[/tex]

- The cohen's d can now be evaliated:

                          Cohen's d = [tex]\frac{48 - 46}{4} = 0.5[/tex]

Final answer:

0.5, representing a medium effect size.

Explanation:

To calculate Cohen's d, we use the formula:

d = (M1 - M2) / SD

Where M1 is the mean of the population before treatment, M2 is the mean after treatment, and SD is the standard deviation of the population. Given that M1 = 46, M2 = 48, and the sample variance is σ2 = 16, we first need to find the standard deviation (SD), which is the square root of the variance.

SD = sqrt(σ2) = sqrt(16) = 4

Next, we apply the values to Cohen's d formula:

d = (48 - 46) / 4

d = 2 / 4 = 0.5

This gives us a Cohen's d value of 0.5, which indicates a medium effect size according to Cohen's benchmarks.

Answer:

{-11,8,13}

Step-by-step explanation:

The domain is the input values (or x)

The range is the output values (or y)

The range is (-11,8,13)

The probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds, under a normal distribution with a mean of 7.45 and a standard deviation of 3.6, is approximately 50.9%.

The subject in question pertains to the calculation of probabilities using the Normal Distribution. Given that the mean clotting time is 7.45 seconds with a standard deviation of 3.6 seconds, we need to find the probability that the clotting time will be either less than 6 seconds or more than 11 seconds.

First, we convert the clotting times to z-scores (the number of standard deviations away from the mean). The z-score for 6 seconds is (6-7.45)/3.6 = -0.40, and the z-score for 11 seconds is (11-7.45)/3.6 = 0.98. We can look these z-scores up in a Z-table to find the corresponding probabilities.

From the Z-table, we find that the probability of a z-score less than -0.40 is 0.345. The probability of a z-score less than 0.98 is about 0.836. Because we're asked to calculate the probability that the clotting time is either less than 6 seconds or greater than 11 seconds, we need to calculate the probabilities at the tails of the distribution. So we subtract the probability for 0.98 (0.836) from 1 to find the probability that clotting time is greater than 11 seconds, which is 0.164.

The probability of the clotting time being either less than 6 seconds or more than 11 seconds would be the sum of the two probabilities: 0.345 + 0.164 = 0.509 or 50.9%.

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The probability that an individual's blood clotting time is less than 6 seconds or greater than 11 seconds is approximately 0.5057, calculated using the Z-scores and the standard normal distribution.

The mean clotting time of blood is 7.45 seconds, with a standard deviation of 3.6 seconds. To find the probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds under normal distribution, we will use the Z-score formula:

Z = (X - mean) / standard deviation

Using Z-tables or standard normal distribution calculators:

Therefore, the total probability is:

P(X < 6 or X > 11) = P(Z < -0.40) + P(Z > 0.99) ≈ 0.3446 + 0.1611 = 0.5057

Answer:

Charlton is the snoozer!

Step-by-step explanation:

"If Charlton is telling the truth, that means that both Davis and Rawls are the liars; in particular, Vongy is telling the truth, which would mean that Bobbins is also a liar, contradicting the fact that there are only two liars and there three truth-tellers.

So Charlton is lying. That means that at most one of Davis and Rawls are lying.

If Bobbins is telling the truth, then the second liar must be one of Rawls and Davis, which would again mean that Vongy is telling the truth, making Bobbins a third liar; this is impossible, so Bobbins is lying.

So we now know that the two liars are Charlton and Bobbins, and the remaining three are truth-tellers.

Therefore, the snoozer is either Rawls or Charlton (since Davis is telling the truth), but cannot be Rawls (since Rawls is telling the truth).

So Charlton is the one who fell asleep."

Answer:

1/60

Step-by-step explanation:

Solve the equation

45÷x=3/4

Brainliest would be appreciated

Answer:

the length is x+5

Step-by-step explanation:

1.(x^2+8x+15)/(x+3)

2.(x+5)(x+3)(x+3)X=5

Answer:

2x^6 + 16x^5 + 30x^4

Step-by-step explanation:

You just need to multiply the two together; it's the same as any rectangle.

Answer:

Keith charges more per person

Step-by-step explanation:

10 = 325

20 = 525

30 = 725

Zoey's price goes up 200 for every 10 people making her setup fee 125 (325-200=125). 200 per 10 people is 20 per person