Danielle answered 24 out of 30 questions correct on her Math test and
21 out of 25 questions correct on her Science test On which test did she
Score higher?​

The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

\(Speed = \dfrac{D}{T}\)

Given that:

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

\(S =\dfrac{D}{T}\)

\(20=\dfrac{d}{t}\)

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

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The statement  if /\(\sqrt{25}\)∉Q, then it is the case that \(\sqrt{25}\) – \(\sqrt{17}\) ∈ Q is false.

To disprove the statement, we need to provide a counter example where \(\sqrt{25}\) ∉ Q (irrational) and \(\sqrt{25}\) – \(\sqrt{17}\) ∉ Q (also irrational).

Let's consider \(\sqrt{25}\) = 5, which is a rational number since it can be expressed as a ratio of two integers (5/1).

In this case, \(\sqrt{25}\) ∉ Q is false since it is a rational number.

Furthermore, \(\sqrt{25}\) – \(\sqrt{17}\) = 5 - \(\sqrt{17}\) is also irrational since it cannot be expressed as a ratio of two integers.

Therefore, we have found a counterexample that disproves the statement, showing that if \(\sqrt{25}\) ∉ Q, then it is not necessarily the case that \(\sqrt{25}\) – \(\sqrt{17}\) ∈ Q.

Hence, the statement is false.

Question: Prove or disprove, using any method, that if /\(\sqrt{25}\)∉Q, then it is the case that \(\sqrt{25}\) – \(\sqrt{17}\) ∈ Q.

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Answer:

24

Step-by-step explanation:

48/4+8+2^2

12+8+2*2

20+2*2

20+4

24

Answer:

24

Step-by-step explanation:

48 ÷ 4 + 8 + 2² = 24

Expression:

A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4

Answer:

b. 7

\( \frac{56}{x} = 8 \\ 8x = 56 \\ x = 7\)

Answer:

a lot of buckets. a lot sorry

Answer:

5:3

Step-by-step explanation:

a burger cost 10 and a hot dog cost 6 so the ratio is literally 10:6 if u want a simplified answer divide both numbers by 2

5:3

Answer: 3:5

Step-by-step explanation:

Answer:

b > 3

Step-by-step explanation:

\(12b-15>21\\\\12b-15+15>21+15\\\\12b>36\\\\\frac{12b>36}{12}\\\\\boxed{b>3}\)

Hope this helps.

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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Answer:

Step-by-step explanation:

As a result, with a discount rate of 7%, the present value of an item that will be worth $200 in four years is roughly $152.57.

We may use the present value calculation to discount an item that will be worth $200 in four years back to today at a 7% discount rate:

PV equals FV / (1 + r)n

where n is the number of periods, r is the discount rate, PV is the present value, and FV is the future value.

If we substitute the values provided, we get:

PV = 200 / (1 + 0.07), divided by four, results in PV of $152.57.

As a result, with a discount rate of 7%, the present value of an item that will be worth $200 in four years is roughly $152.57.

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Step-by-step explanation:

Original price of the scooter = $124

Sales Tax = 7.8%

Price of the scooter after tax = 124 + 7.8%(124)

= 124 + 7.8/100 x 124

= 124 + 3.9/50 x 124

= 124 + 1.95/25 x 124

= 124 + 0.39/5 x 124

= 124 + 0.39 x 24.8

= 124 + 9.672

= 133.672

Therefore, after tax the scooter will cost $133.672.

Answer:

y = \(\frac{1}{2}\) x - 4

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 )

y = - 2x + 8 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = \(\frac{1}{2}\) x - 4 ← equation of perpendicular line

Answer: \(-4.9417197e+16\)

Step-by-step explanation:

Answer:

Step-by-step explanation: F 50.9 cm (H 25.7 cm. G 46.3 cm. -38.3 cm. G 46.3 cm. 921.3 cm. Ø 12.6em Å ... Р. 3 - с. 2, +6:48 348 р. 8. Find the distance between P(2, 8) and Q15, 3). F9 ... REVIEW VOCABULARY!!!!! R=0 tre of the two angles. Atab=180. 2 ДО - Чx 49.

Answer:

a) m || n

b) p || q, and m must be perpendicular to both p and q.

c) p || q

d) p || q

e) m || n and p || q

Answer:

m = 75

Step-by-step explanation:

(2010,600) and (2012,750)

m = (750 - 600) / (2012 - 2010) = 75

a. The system of inequalities that models the situation is:

The equation for the cost is: C(x,y) = 0.2x + 0.4y.

b. The graph is given by the image at the end of the answer, and the vertices are (4,4), (10,4) and (10,7).

c. The number of clay beads and glass beads in a necklace that costs the least to make is: 4 clay beads and 4 glass beads.

The variables for the system are presented as follows:

Each necklace has no more than 10 clay beads and at least 4 glass beads, hence the constraints are listed as follows:

The numbers of each beads are countable amounts, meaning that they cannot assume negative values.

Four times the number of glass beads is less than or equal to 8 more than twice the number of clay beads, hence the final constraint is of:

4y ≤ 8 + 2x.

Each clay bead costs $0.20 and each glass bead costs $0.40, hence the cost function is given as follows:

C(x,y) = 0.2x + 0.4y.

Using the three constraints, the graph is given by the image at the end of the answer, and the vertices are as follows:

The minimum cost is at the vertex with the smallest numeric value of the cost function, hence the numeric values are listed as follows:

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Approximately 1 tub of yogurt was taken as a sample.

To solve this problem, we can use the concept of the standard normal distribution and z-scores.

First, we calculate the z-score for the weight of 0.88 lb using the formula:

\(z = (x - \mu) / \sigma\)

where x is the observed weight,  \(\mu\) is the mean weight, and  \(\sigma\)  is the standard deviation.

In this case, x = 0.88 lb, \(\mu\) = 1.0 lb, and \(\sigma\) = 0.06 lb.

z = (0.88 - 1.0) / 0.06

z = -0.12 / 0.06

z = -2

Next, we look up the corresponding cumulative probability for z = -2 in the standard normal distribution table. The table gives us a cumulative probability of approximately 0.0228.

Since we want to know how many tubs of yogurt weighed less than 0.88 lb, we are interested in the area to the left of the z-score -2. This area represents the proportion of tubs that weigh less than 0.88 lb.

Now, we can use the inverse of the cumulative distribution function (CDF) to find the corresponding z-score for the cumulative probability of 0.0228. This will help us determine the number of tubs that correspond to this area.

Using a standard normal distribution table or a calculator, the inverse CDF for a cumulative probability of 0.0228 gives us a z-score of approximately -2.05.

Finally, we can calculate the number of tubs of yogurt taken as samples by rearranging the z-score formula:

\(z = (x - \mu) / \sigma\)

Rearranging for x:

\(x = z * \sigma + \mu\)

x = -2.05 * 0.06 + 1.0

x = -0.123 + 1.0

x \(\approx\) 0.877

Since the weight of each tub is 1.0 lb, the calculated value of x (0.877) represents the proportion of tubs that weighed less than 0.88 lb.

To determine the number of tubs, we divide the observed weight (0.88 lb) by the calculated value (0.877):

Number of tubs = \(0.88 / 0.877 \approx 1\)

Therefore, approximately 1 tub of yogurt was taken as a sample.

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Add up the 3 items for subtotal.

Then take that subtotal and multiply by 0.20 (which is the same as 20%). That's your tip.

Add subtotal + tip and there's your total bill.

See attached screenshot.

Hope you have a good afternoon : )

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

I think Option B is correct

Step-by-step explanation:

because Iron nail is wrapped with a copper wire so it's a solinoid and when the switch is off it gets magnetic field or the iron nail would behave like a magnet.

and It would attract metallic things.

Hope this helps you

have a nice day :)

Explanation:

Think of a set of dominoes. If domino A pushes over B, which pushes over C, then ultimately A caused C to fall over. So that's how we combine both A=B and B=C to end up with A = C.

You could also think of it using this kind of arrow notation

\(\text{If }A \to B \text{ and } B \to C, \ \text{then }A \to C\)

Or you can think of it like going from city A to city B, then to city C. Ultimately you have gone from city A to city C.

Answer:

23

Step-by-step explanation:

Using an online calculator and plugging the values in, we get our equation of y=mx + b to become y = 1.2x - 17.8 .

Plugging 34 in for x, we get 1.2(34) - 17.8 = 23 for their projected test grade

Answer:

57 surfers

Step-by-step explanation:

Use proportions to find the answer:

4/15 = 60/x to find amount of swimmers:

225 male swimmers

225+60 = 285 total swimmers

Find amount of surfers:

1/5 = x/285

57 surfers

Answer:

5\(\sqrt{5}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\) , then

\(\sqrt{125}\)

= \(\sqrt{25(5)}\)

= \(\sqrt{25}\) × \(\sqrt{5}\)

= 5\(\sqrt{5}\)

Answer:

3/2

Step-by-step explanation:

"Negative" means take the opposite sign.

"reciprocal" means flip it over.

Answer:

11/4

Step-by-step explanation:

reciprocal is flipping it

Answer:

The answer is matter.

An outlier can falsely indicate correlation when there is none by distorting the overall trend. It can also mask correlation when present by offsetting the relationship.

An outlier is a data point that deviates significantly from the overall pattern or trend in a dataset. It can have different effects on the appearance of correlation depending on its characteristics and position.

An outlier can falsely indicate the presence of correlation when there is none by distorting the overall trend. If an outlier falls in a position that aligns with the expected correlation, it may create the illusion of a relationship. This is represented by option C, where the outlier is located in a place where the correlation would predict.

Conversely, an outlier can mask the presence of correlation when it actually exists. If the outlier is far separated from the rest of the data points, it can disrupt the overall pattern and weaken the observed correlation. This corresponds to option B, where the outlier is significantly separated from the main cluster.

In general, it is reasonable to ignore outliers when studying correlations if they are deemed to be influential or resulting from measurement errors or other exceptional circumstances. However, careful consideration and judgment are necessary before excluding outliers, as they may contain valuable information or represent genuine characteristics of the data.

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To be sure of getting at least one face card from a standard deck of 52 cards, you would need to pick a minimum of 4 cards.

In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings). To ensure that you have at least one face card, you would need to consider the worst-case scenario, which is that the first three cards you pick are not face cards. In this case, the fourth card you pick is guaranteed to be a face card, as there are 12 face cards remaining in the deck.

To understand why you need a minimum of 4 cards, consider the possibilities:

If you pick 3 non-face cards consecutively, the next card must be a face card. The probability of picking a non-face card is
(40/52) * (39/51) * (38/50) = 0.4026.

Therefore, the probability of picking at least one face card in the first 3 cards is 1 - 0.4026 = 0.5974.

However, to be absolutely sure of getting at least one face card, you need to consider the worst-case scenario, where the first 3 cards are non-face cards. Therefore, you would need to pick the fourth card to guarantee a face card.

Hence, to be sure of getting at least one face card, you need to pick a minimum of 4 cards from a standard deck of 52 cards.

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