what is 3.23 as a mixed number

The average speed of the bus is 74.3 km/hr

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. it is measured in meter by second or kilometers / hour.

The speedometer of a car can be used to measure the speed of a car. The difference between speed and velocity is that speed is a.scalr quantity while velocity is a vector quantity. But they both have thesame unit.

Average speed = total distance/total time taken

= 260/3.5 = 74.3 km/hr

Therefore the average speed of the bus is 74.3 km/hr

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a) The null hypothesis (H0) states that the population average amount dispensed is equal to 8 ounces. The alternative hypothesis (Ha) states that the population average amount dispensed is different from 8 ounces.

b) To test the hypothesis, we can perform a one-sample t-test. The sample mean is 7.983 ounces, which is slightly below the hypothesized value of 8 ounces. We want to determine if this difference is statistically significant.

c) By conducting the one-sample t-test, we can calculate the p-value associated with the observed sample mean of 7.983 ounces. The p-value represents the probability of obtaining a sample mean as extreme as the observed value, assuming that the null hypothesis is true.

If the calculated p-value is less than the significance level (0.05 in this case), we reject the null hypothesis in favor of the alternative hypothesis, indicating evidence that the population average amount dispensed is different from 8 ounces. If the p-value is greater than the significance level, we fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude that the population average is different from 8 ounces.

The interpretation of the p-value in this case is that it represents the probability of observing a sample mean of 7.983 ounces or a more extreme value, assuming that the true population mean is 8 ounces. A small p-value indicates that the observed sample mean is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, a small p-value provides evidence against the null hypothesis and suggests that the population average amount dispensed is likely different from 8 ounces.

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Answer:

zero

Step-by-step explanation:

The number of fruits that he sold is given as follows:

For a total of 178 fruits.

The amount of fruits sold is obtained solving a system of equations, for which the variables are given as follows:

Mr Chan has 154 more apples than pears, hence:

x = 154 + y.

After selling 4/7 of the apples(3/7 remaining) and 1/2 of the pears, he had 144 fruits left, hence:

3x/7 + y/2 = 144.

Replacing the first equation into the second, the value of y is given as follows:

3(154 + y)/7 + y/2 = 144

6(154 + y) + 7y = 2016.

y = 84.

Then the value of x is given as follows:

x = 154 + 84

x = 238.

The amounts sold are given as follows:

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Answer:

2x+3

Step-by-step explanation:

2x+3=Alan's Weight

2x= Dylan's weight times two

+3= the plus three more pounds

Which then equals Alan's weight.

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

Your answer is 15

Have a great day!

Step-by-step explanation:

Answer:

10.77

Step-by-step explanation:

(-5, 4) (5, 8)     Find the difference between the x terms: that is[( 5-(-5)]

                       Find the difference between the y terms: that is (8 - 4)

Substitute  into the distance formula

(\(\sqrt{[(5 - (-5)]^{2} + (8 - 4)^{2} } }\)

= \(\sqrt{10^{2} +4^{2} }\)

= \(\sqrt{100 + 16}\)

= \(\sqrt{116}\)

= 10.77

Answer:

80 mph

Step-by-step explanation:

2880 miles/36 hours = 80 mph

Answer:a 120 and b:60

Step-by-step explanation: mark brainlilest

9514 1404 393

Answer:

  55°

Step-by-step explanation:

130° is an external angle to the small triangle at lower left, so is the sum of the remote interior angles. The unmarked interior angle at the bottom of that triangle is then 130° -30 = 100°.

That is an exterior angle of the large triangle that has remote interior angles of 45° and x°. So, ...

  x° + 45° = 100°

  x° = 100° -45°

  x° = 55°

_____

Alternate solution

The sum of the interior angles of a quadrilateral is 360°. Three of the angles in the bounding quadrilateral are x°, 45°, 30°. The fourth is the reflex angle that is (360° -130°) = 230°. So, we have ...

  x° +45° +230° +30° = 360° . . . . . angles CCW from lower right

  x° = 360° -305°

  x° = 55°

Answer:

x=-18/7

Step-by-step explanation:

the weird shapey thing is just the unknown

let's make life easy and just use x

substitute it in and then distribute the fractions

the simplify and solve

In a series system, the availability is the product of the availability of each individual unit. In a parallel system, the availability is the complement of the probability that all units have failed.

c) To calculate the availability of systems in terms of the availability of individual units:

i) Series: In a series system, the failure of one unit results in the failure of the entire system. Therefore, the availability of the series system is the product of the availability of each individual unit. That is, if we have n units in series with availability A1, A2, ..., An, the availability of the series system is given by:

As = A1 × A2 × ... × An

ii) Parallel: In a parallel system, the system operates as long as at least one unit is functioning. Therefore, the availability of the parallel system is the complement of the probability that all units have failed. That is, if we have n units in parallel with availability A1, A2, ..., An, the availability of the parallel system is given by:

As = 1 - (1 - A1) × (1 - A2) × ... × (1 - An)

Note that the availability of each unit should be expressed as a decimal or a fraction, and not as a percentage.

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Answer:

Option b) Use the results from the 2014 survey.

Step-by-step explanation:

Using the results from the 2014 survey can reduce the sample size needed for the new survey, as it provides a good estimate of the population proportion. This reduces the margin of error and increases the confidence level of the new survey.

Answer:

$3

Step-by-step explanation:

Given that:

Park charge for one round = $19

Reduced fee for every additional round

Number of rounds played by Tom = 6

Amount paid = $34

Amount left after 1 round :

Amount paid - first round charge

$34 - $19 = $15

Number of rounds left = (6 - 1) = 5

Charge per additional round :

$15 / 5 = $3

Answer:

Running

There are many different types of science that go into running, including the following:

Psychology (think you can/can't do it, how tired you are, how much further you can go/how much further you think you can go, dissociating and distracting,  associating and motivating, etc.)

Physiology (how fit one is, training, etc.)

Nutrition (food/drinks that are put into one's body, vitamins, etc.)

Physics ("The greater the force Fx, the greater the horizontal running velocity, and the longer the arc length, hence the faster the runner will run. Arm swinging is an important part of running. It serves to stabilize the body" - Real World Physics Problems (.com))

Newton's Three Laws (gravity, inertia, friction, net force exerted, equal and opposite reactions, etc.)

Biology (Chemical balance in your blood)

And more!

And remember: everything connects with something else, for example, nutrition can connect with all of the things on this list (yes, even phycology and physics). Hope this helps! :-)

it can be concluded that the population standard deviation is within or less than 12.

To construct a hypothesis test to determine whether the population standard deviation of σ≦12 should be rejected for Costco, we can use a chi-square test for variance.

Step 1: State the null and alternative hypotheses:
- Null hypothesis (H₀): σ ≤ 12
- Alternative hypothesis (H₁): σ > 12

Step 2: Determine the level of significance (α = 0.05) and degrees of freedom (df = n - 1 = 11 - 1 = 10).

Step 3: Calculate the test statistic:
- χ² = (n - 1) * (s² / σ²) = 10 * (11.3² / 12²) = 10 * 0.94 = 9.4

Step 4: Determine the critical value:
- The critical value at α = 0.05 with df = 10 is χ²ₐ = 18.307

Step 5: Compare the test statistic with the critical value:
- Since χ² = 9.4 < χ²ₐ = 18.307, we fail to reject the null hypothesis.

Step 6: Conclusion:
- Based on the given sample data, there is not enough evidence to reject the hypothesis that the population standard deviation of σ≤12 for Costco.

Therefore, it can be concluded that the population standard deviation is within or less than 12.

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Answer:

X = 10/9

Step-by-step explanation:

7x - 5 = 2x + 5

7x - 2x = 5 + 5

9x = 10

X = 10/9

A graph of the image of quadrilateral STUV after applying the sequence of transformations is shown in the image below.

In Mathematics, a reflection across the line y = x would interchange the x-coordinate and y-coordinate, and this can be modeled by the following transformation rule:

(x, y)                                    →              (y, x)

Ordered pair S (9, -4)    →        Ordered pair S' (-4, 9).

Ordered pair T (13, -8)    →        Ordered pair T' (-8, 13).

Ordered pair U (7, -10)    →        Ordered pair U' (-10, 7).

Ordered pair V (3, -10)    →        Ordered pair V' (-10, 3).

By translating quadrilateral S'T'U'V' 17 units right and down 1 unit, the new coordinates of the image include the following:

(x, y)               →                           (x + 17, y - 1)

S' (-4, 9)         →    (-4 + 17, 9 - 1) = S" (13, 8)  

T' (-8, 13)        →    (-8 + 17, 13 - 1) = T" (9, 12)  

U' (-10, 7)         →    (-10 + 17, 7 - 1) = U" (7, 6)  

V' (-10, 3)         →    (-10 + 17, 3 - 1) = V" (7, 2)  

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The topologies {∅, {x}, {y}, {z}, {x, y, z}} and {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}} satisfy both the Frechet and Hausdorff properties.

To find all possible topologies of the space  = {x, y, z}, we need to consider all the possible subsets of this set. Since the set has three elements, there are 2^3 = 8 possible subsets.
The possible topologies are as follows:
1. {∅, {x, y, z}}: This is the trivial topology, where the whole set and the empty set are the only open sets.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This is the discrete topology, where every subset of the set is open.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This is the indiscrete or trivial topology, where only the whole set and the empty set are open.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This is a topology that is not discrete or indiscrete.

To determine which of these topologies satisfy the Frechet property and the Hausdorff property, we need to consider the limit points and the ability to separate points, respectively.
The Frechet property states that for every point x in a set A, there exists a sequence of points in A that converges to x. In other words, every point is a limit point.
The Hausdorff property states that for any two distinct points x and y in a set A, there exist disjoint open sets U and V such that x is in U and y is in V. In other words, every pair of distinct points can be separated by open sets.

Let's analyze each topology:
1. {∅, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.

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Answer:

Step-by-step explanation:

ok im assuming youre trying to find how many hours he worked so

our equation is y = 15x + 6

plug 126 in for y

126 = 15x + 6

solve for x

120 = 15x

8 = x

so he worked for 8 hours

Answer:

134.844%

Step-by-step explanation:

Sorry for my penmanship but i hope it help you

--TEYA

Answer:                 x= negative 3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3(-3+3)=0

-3(0)=0

0=0

Answer:

-11

Step-by-step explanation:

Simplify

Answer:

c=−11

Step-by-step explanation:

-2(3+c)=16

Divide both sides by -2

-2(3+c)/-2 = 16/-2

Simplify

3+c=-8

Subtract 3 from both sides

3+c-3=-8-3

Simplify

c=-11

Answer:

∠ BDC = 37°

Step-by-step explanation:

the central angle BAC is twice the angle on the circumference subtended on the same arc.

∠ BDC = \(\frac{1}{2}\) ∠ BAC = \(\frac{1}{2}\) × 74° = 37°

Answer:

5.20

Step-by-step explanation:

48 / 9.23 = 5.20043336945

rounded to tenth is 5.20

Hope This Helped

Answer:5.20

Step-by-step explanation:

48 / 9.23 = 5.20

Answer:

Quadrant II

Step-by-step explanation:

See attached image.

Therefore , the solution of the given problem of unitary comes out to be each asset class as part of the diversification plan.

By combining the information obtained using this nanosection technique with all variable additional data from two individuals who used a specific strategy, the task can be completed. Simply put, this mean that, if the desired outcome materialises, either the specified entity will be known or, actually, the colour from both enormous processes will be skipped. For forty pens, a refundable charge of Rupees ($1.01) might be required.

Here,

The next two are methods for reducing the danger associated with investing out of the four you offered:

Dollar-cost averaging is the term used to describe this method of spreading investments out over time. Regardless of the investment's price, it entails making a set amount of investments at regular intervals over a length of time.

Spread your investments across various asset classes (such as stocks, bonds, real estate, etc.) and/or various companies within each asset class as part of the diversification plan.

Since currency values can be influenced by a number of variables and are sometimes unpredictable, investing in a particular currency (such as the British pound) is not always a risk management plan.

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The South’s economy contribute to conditions because the deteriorating Southern economy forced the Union soldiers to work as slaves in the camps.

The prisoner of of the Civil war camps were forced to carry out slave labour on a starvation diet and hostile environment which caused many to died of malnutrition or disease.

Hence, the South’s economy contribute to conditions because the deteriorating Southern economy forced the Union soldiers to work as slaves in the camps.

Therefore, the Option C is correct.

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Answer:

The deteriorating Southern economy caused shortages of provisions at the camps.

Step-by-step explanation: