A square playing field has an area of 1156 square yards. About how long is each side of the field?

The calculated t-value is less than the critical t-value. It means that the null hypothesis is rejected. Therefore, there is enough evidence to conclude that the average breaking strength is less than claimed by the manufacturer of the fishing line. Hence, the fishermen can complain to the manufacturer for false claims.

It seems that you have made a conclusion based on the information provided, but without actually performing the calculations. To make an accurate conclusion, we need to calculate the test statistic and compare it to the critical value.

Since the mean breaking strength of the sample is 27.994 pounds, the population mean is claimed to be 30 pounds, and the standard deviation is 0.846 pounds, we can calculate the test statistic as follows:

t = (sample mean - population mean) / (sample standard deviation / √sample size)

  = (27.994 - 30) / (0.846 / √25)

  = -2.006

To determine whether the null hypothesis should be rejected or not, we need to compare the test statistic with the critical value based on the chosen significance level (α) and degrees of freedom. Since the sample size is 25, the degrees of freedom would be 25 - 1 = 24.

Without the specific significance level (α) mentioned, we cannot determine the critical value or make a definitive conclusion. The critical value is obtained from the t-distribution table or calculated using statistical software.

Once you have the critical value, compare it with the calculated test statistic (-2.006) to determine if the null hypothesis should be rejected or not. If the calculated test statistic falls in the rejection region (i.e., is smaller than the critical value), then we can conclude that there is sufficient evidence to support the claim that the average breaking strength is less than the claimed value.

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The probability that a randomly selected person from the group will have a systolic blood pressure below 112 is 0.0548.

To find the probability that a randomly selected person from the group will have a systolic blood pressure below 112, we need to standardize the variable using the z-score formula:

z = (x - μ) /σ

where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation.

For this problem, we have:

z = (112 - 120) / 5 = -1.6

Now, we need to find the probability that Z (the standardized variable) is less than -1.6. We can do this by using a standard normal distribution table.

Using a standard normal distribution table, we find that the probability of Z being less than -1.6 is approximately 0.0548.

Therefore, the probability that a randomly selected person from the group will have a systolic blood pressure below 112 is approximately 0.0548 or 5.48%.

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The platelet count is 652 x 10^3.

Based on the information provided, it seems that the platelet count from a test result is 652, and the normal range for platelet count is 150,000 to 450,000 platelets per microliter of blood. The value "10(3)" likely refers to the measurement being in thousands.

To convert the measurement to the standard unit of platelet count, we need to multiply the given value by 1,000. Thus, 652 * 1,000 = 652,000 platelets per microliter.

It's important to note that platelet counts can vary depending on various factors, and medical professionals typically interpret the results in conjunction with other clinical information. If the obtained value of 652,000 platelets per microliter is accurate, it would be significantly higher than the upper limit of the normal range.

It's crucial to consult a healthcare professional or a qualified medical practitioner for an accurate interpretation of test results and any necessary medical advice or treatment.

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Answer: B

Step-by-step explanation:

Answer:

options 1 and 4. don't pick the others.

Step-by-step explanation:

The mean is the sum of these numbers = 16.86 / 6 = 2.81

2.55 is the mode; it repeats the most.

Put the numbers in order smallest to largest to find the median:

1.75, 2.55, 2.55, 2.91, 3.10, 4.00

We have 6 numbers so there's no middle number. So to get the median use the average of the two middle numbers. Our two middle numbers are 2.55 and 2.91. Add those together and divide by 2.

5.46/2 = 2.73

Your median is 2.73.

The mean is greater than the median. pick the first option.

Don't pick the second option bc the median is actually 2.73.

The mean is NOT less than the median so don't pick the third option.

The mode is 2.55. pick the fourth.

Answer:

40

Step-by-step explanation:

20, 40,80 is a 2 xdregre angle

180 ÷3 = 60 ° (angles on a straight line equals to 180 ° )

a+b+60 =180°

a+ b= 180 ° - 60° = 120°

(a+b) are 2 variables

so 120 ÷2 =60 °

therefore a and b =60 °

c +b+ 60° = 180° ( co - interior angles are supplementary angles )

c+60° +60° =180°

c +120° =180°

c =180°-120°

c=60 °

d=60° (alternate angles are equal )

or

c+b+d=180°

60° +60° + d = 180°

d=180°-120°

d=60°

The equation of the line in slope intercept form is y = (-4/3)x   .

In the question ,

a line graph is given ,

we need to find the equation of that line .

the two points that are given on the line graph are (-3 , 4) and (0 , 0) ,

the equation of the line passing from the points (x₁ , y₁) with slope m  in the slope intercept form is given by

(y - y₁) = m(x - x₁) .

we first need to find the slope .

So , m = (0 - 4)/(0 + 3)

m = -4/3

The equation of the line passing from the points (-3 , 4) with slope -4/3 , in the slope intercept form is

(y - 4) = (-4/3)(x -(-3))

y - 4 = (-4/3)(x + 3)

y - 4 = (-4/3)x - 4

y = (-4/3)x - 4 + 4

y = (-4/3)x

Therefore , The equation of the line in slope intercept form is  y = (-4/3)x  .

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Answer:

hope it helped

have a nice day mate

We can apply a chi-square test of independence to investigate the claim that gender has no bearing on the amount of time spent viewing television. The alternative hypothesis states that there is a link between the two variables, contrary to the null hypothesis that there isn't.

First, a contingency table of the observed frequencies can be made:

                                   Male   Female   Total

   Over 25 hours            15        29       44

   Under 25 hours          27        19       46

   Total                            42        48       90

The predicted frequencies under the independence assumption can then be determined. To accomplish this, we can compute the predicted frequencies in each cell using the row and column totals:

                               Male   Female   Total

   Over 25 hours     20          24       44

   Under 25 hours   22          24       46

            Total            42          48       90

We can now compute the chi-square test statistic as follows:

X² = ∑(O - E)² / E      

    = (15 - 20)²/20 + (27 - 22)²/22 + (29 - 24)²/24 + (19 - 24)²/24        

    = 4.25

Finally, we may use a chi-square distribution with (rows - 1) * (columns - 1) degrees of freedom to determine the p-value associated with this test statistic.

In this instance, we have (1 degree of freedom) * (2 degrees of freedom). The p-value, which may be calculated using a chi-square table or table, is roughly 0.039.

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3xX

Step-by-step explanation:

Answer:

11.25 kg of coffee worth $9.40/kg must be mixed with 0.75 kg of coffee worth $11/kg to give 12 kg of coffee worth $9.50/kg.

Step-by-step explanation:

Let x be the amount of coffee worth $9.40/kg that needs to be mixed with coffee worth $11/kg to get 12 kg of coffee worth $9.50/kg.

We can start by setting up a system of linear equations based on the information given:

Equation 1: x + y = 12 (the total amount of coffee is 12 kg)

Equation 2: (9.4x + 11y)/12 = 9.5 (the average price of the mixed coffee is $9.50/kg)

Simplifying equation 2, we get:

9.4x + 11y = 114

We can now use substitution to solve for x. Solving equation 1 for y, we get:

y = 12 - x

Substituting this into equation 2, we get:

9.4x + 11(12 - x) = 114

Simplifying and solving for x, we get:

9.4x + 132 - 11x = 114

-1.6*x = -18

x = 11.25

Therefore, 11.25 kg of coffee worth $9.40/kg must be mixed with 0.75 kg of coffee worth $11/kg to give 12 kg of coffee worth $9.50/kg.

Answer:

54a − 6

Step-by-step explanation:

Answer:

17a -10 +37a +4 (drop the parenthesis and add like terms)

54a -6 (can't simplify any further, so this should be your answer)

Answer:

Step-by-step explanation:

Isolate the term of t from one side of the equation.

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

First, change sides.

t+10=14

Then, subtract by 10 from both sides.

t+10-10=14-10

Solve.

Subtract the numbers from left to right.

14-10=4

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

Rewrite the problem down.

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

Solve.

Divide the numbers from left to right.

-40/-1=40

I hope this helps! Let me know if you have any questions.

Answer:

4t =40 t= 10  4x10=40

10 + t = 14 t=4   10 + 4 = 14

70 - t =30 t= 40  70 - 40 = 30

Hope this helps!

The probability that a flight between New York City and Chicago is less than 135 minutes is 0.6667, or approximately 0.67. This means there is a 67% chance that a randomly selected flight will take less than 135 minutes.

In the given problem, we are told that the time to fly between the two cities follows a uniform distribution, with a minimum of 120 minutes and a maximum of 150 minutes. In a uniform distribution, the probability of an event within a certain range is proportional to the length of that range. Therefore, to find the probability of a flight being less than 135 minutes, we need to calculate the length of the range from 120 to 135 minutes and divide it by the length of the entire distribution, which is 150 - 120 = 30 minutes.

The length of the range from 120 to 135 minutes is 135 - 120 = 15 minutes. Dividing this by the length of the entire distribution gives us 15/30 = 0.5, or 50%. However, since the distribution is continuous and the probability of exactly 135 minutes is zero (as the distribution is uniform), the probability of a flight being less than 135 minutes is slightly greater than 0.5. Thus, the correct answer is approximately 0.67.

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Answer:

1 does not represent a function, but 2 and 3 do

Step-by-step explanation:

1 is not a function because there are multiple points, with the same x value. 2 and 3 are functions because there are not multiple points with the same x value

Answer:

Step-by-step explanation:

y=-1/5x

x             y

-4           -4/5

-10        2

0          0

-50    -10

Answer:

5x - 1 or x>−1

Step-by-step explanation:

Just combine like terms: 13,-14

Combine like terms: 6,10

Divide by -4:-4x/-4<4/-4

Answer:

60n seconds

Step-by-step explanation:

In 1 min, there are 60 seconds

So,

1 min = 60 secs

For n minutes, it becomes:

=> 60n seconds

Answer: 75.3

Step-by-step explanation: Pi x r^2 x h/3

3.14 = pi

r=2.99848

3.14 x 2.99848^2 x 8/3 = 75.32

The distance between the given coordinates  (−5, −19) and (−5, 32) is given by 51 units.

Let us consider the coordinates of two given points be,

(x₁ , y₁ ) = ( -5 , -19 )

(x₂ , y₂ ) = (-5 , 32 )

Distance formula between two points is equals to,

Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²

Substitute the values of the coordinates we have,

⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²

⇒ Distance = √ (32 +19)² + (-5 + 5)²

⇒ Distance = √ 51² + 0²

⇒ Distance =  51 units.

Therefore, the distance between the two points is equal to 51 units.

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The problem involves Treyvon standing 9 yards from the base of a hill and throwing a water balloon from a height of 2 yards.

The path of the balloon is modeled by the polynomial equation h(x) = -0.1x^2 + 0.8x + 2. The task is to determine how far from Treyvon the balloon will hit the hill.

a. The polynomial equation that represents the situation is h(x) = -0.1x^2 + 0.8x + 2, where h is the height of the balloon in yards and x is the distance the balloon travels in yards. This equation takes into account the height of the balloon at different distances.

b. To find how far from Treyvon the balloon will hit the hill, we need to determine the x-value where the height of the balloon is equal to the height of the hill. Since the hill has a slope of 3/4, we can calculate the height of the hill at a given distance using the equation h_hill = (3/4)x + 2, where h_hill is the height of the hill at a distance x. By setting h(x) equal to h_hill and solving the resulting equation, we can find the distance at which the balloon hits the hill.

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There are x-values which are paired with multiple y-values.

The area of the attached polygon is 58.5 cm²

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The polygon such that we have:

First we will find the area of the triangles

Area of a triangle = (1/2 * base * height)

This gives:

Total Area of triangles = (4+12+3+4.5)cm²= 23.5 cm²

Next, we have

Area of a trapezium = [1/2(sum of parallel sides)* height]

This gives

Total area of trapeziums = (20+15)cm² = 35 cm²

So, we have

Total area of the polygon = (23.5 + 35)cm² = 58.5 cm²

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Answer:

graphing

Step-by-step explanation:

ez

Answer:     a function can only have one y-intercept.

The displacement of the compressor is 628 cubic centimeters. Other factors that affect the performance of a compressor include its operating pressure, flow rate, efficiency, and power consumption.

To find the displacement of the compressor, we need to use the formula:
Displacement = (pi/4) x bore^2 x stroke
Here, the bore is 8 centimeters and the stroke is 10 centimeters. So, substituting these values in the formula, we get:
Displacement = (pi/4) x 8^2 x 10
Displacement = (3.14/4) x 64 x 10
Displacement = 628.32 cubic centimeters

A compressor is a mechanical device that is used to increase the pressure of a gas or air by reducing its volume. It works by compressing the gas or air in a cylinder and then transferring it to a storage tank or other equipment. The displacement of a compressor is a measure of the volume of gas or air that is displaced or compressed during one complete cycle of the compressor. Therefore, the displacement of the compressor is 628 cubic centimeters. This means that during one complete cycle of the compressor, it displaces or compresses 628 cubic centimeters of gas or air. The displacement is an important parameter of a compressor, as it determines its capacity or the amount of gas or air that it can compress in a given time.

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The displacement of the compressor is 160π cubic centimeters.

To find the displacement of the compressor, we first need to understand what displacement means. Displacement is the change in position of an object in a specific direction. In this case, the compressor has a bore of 8 centimeters and a stroke of 10 centimeters. The displacement of the compressor can be calculated as the product of the bore area (πr^2) and the stroke length.

Displacement = π(4^2) * 10 = 16π * 10 = 160π cubic centimeters.

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