Which tiles should be added to the model below to make zero?
000000
6 negative tiles
6 positive tiles
3 negative tiles and 3 positive tiles
O 6 negative tiles and 6 positive tiles

The size of the F-ratio value would increase as the numerator of the F-ratio (MS Between) increased and The size of the F-ratio value would increase as the numerator of the F-ratio (MSBetween) increased.

Given that,

The F ratio can be defined as,

F =Mean Sum of Squares of between treatments / Mean Sum of Squares of within treatments

F =MS Between /MS within

Increase the difference between the sample means.

As the difference between the sample means increases, between treatments has larger effect

(MS known ) . This affects the numerator of F-ratio.

Hence, As numerator of F-ratio ( MS Between ) increases, the size of the F-ratio value would increase.

Increase the size of sample variances.

As the size of sample variance increases, with treatments has larger effect ( MS within ). This

affects the denominator of F-ratio.

Hence, As the denominator of F-ratio (MS Within ) increases. The size of F-ratio will decrease.

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Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

The false statement is: "The researchers would come to the conclusion that the programme was successful if they used a significance level of 1%."

What is significance level?

A significance level, denoted by α, is the threshold chosen by researchers to determine the level of evidence required to reject the null hypothesis. It represents the maximum acceptable probability of making a Type I error (incorrectly rejecting the null hypothesis when it is true).

In this case, the given p-value is 0.003. If the null hypothesis is true, the p-value represents the likelihood of obtaining a test statistic that is equally extreme to or more extreme than the one that was observed. It offers proof that the null hypothesis is false.

We can conclude that there is strong evidence to reject the null hypothesis in favour of the alternative hypothesis because the p-value is 0.003, which is lower than any often used significance level like 0.05 or 0.01. Thus, if the researchers apply a 5% level of significance, they would draw the conclusion that the programme was successful.

However, if the researchers use a significance level of 1%, they would require even stronger evidence to reject the null hypothesis. Since the p-value of 0.003 is greater than 0.01, they would not be able to reject the null hypothesis at the 1% significance level and would not conclude that the program was effective.

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Answer:

\(x > 4\)

Step-by-step explanation:

1. Add 8 to both sides.

\(x > - 4 + 8\)

2. Simplify -4 + 8 to 4.

\(x > 4\)

Therefor, the answer is, x > 4.

Answer:

\(x - 8 > - 4 \\ x > 8 - 4 \\ \boxed{x > 4}\)

Answer:

\(\frac{n+2}{8}\) has a remainder of 7 ⇒ B

Step-by-step explanation:

In m ÷ n = c + \(\frac{r}{n}\) ,

Let us use the facts above to solve the question

∵ \(\frac{n}{8}\) has a remainder of 5

→ Let us find the first number divided by 8 and give a reminder of 5

  that means let the quotient = 1

∵ n = (8 × 1) + 5 = 8 + 5

∴ n = 13

∵ \(\frac{n+x}{8}\) has a remainder of 7

→ Let us find the first number divided by 8 and give a reminder of 7

  that means let the quotient = 1

∵ n + x = (8 × 1) + 7 = 8 + 7

∴ n + x = 15

∵ n = 13

∴ 13 + x = 15

→ Subtract 13 from both sides

∴ 13 -13 + x = 15 - 13

∴ x = 2

∴ \(\frac{n+2}{8}\) has a remainder of 7

Answer:

248 cm^2

Step-by-step explanation:

in order to get the figures surface area you only need to find the area of all 6 sides

in this case the two ends are 4 by 6

the front and back are 10 by 6

and the top and bottom are 10 by 4

this would mean that we need to multiply

(4*6)*2

(10*6)*2

(10*4)*2

which would look like

(4*6)*2= (24)*2= 48

(10*6)*2= (60)*2=120

(10*4)*2= (40)*2=80

and finally the sum of the equations is the surface area of the figure

48+120+80=248

Answer:

5%

Step-by-step explanation:

price after discount :

9 600 - 9 600×40%

= 5760

Original price (price without profit) :

let x be the original price of the device.

x + x × 20% = 5760

Then

x = (5 760×100)÷120

  = 4 800

Original price increased by 30% :

4 800 + 4 800×30%

= 6 240

the discount needed to increase the profit by 10% :

[(9 600-6 240)÷9 600]×100

= 35%

Then

to increase the profit by 10% ,we have to reduce

the percent of discount to :

40% - 35%

= 5%

Answer:

Range = highest value - lowest value

Explanation:

This is the required formula to find range from a distribution table.

The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

We are given that two cards are drawn without replacement from a standard deck of 5252 playing cards. We need to find the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond.

So, let us first find the probability of drawing a diamond card from a deck of 52 cards:4/52 = 1/13 (There are 4 diamond cards in a deck of 52 cards)

Now, if we draw a diamond card in the first draw, there will be 51 cards left in the deck of which 26 are black. Therefore, the probability of drawing a black card after drawing a diamond card is:26/51

Therefore, the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

Summary:Two cards are drawn without replacement from a standard deck of 52 playing cards. The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

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We need to start by choosing some 10 integers so that we can ensure that when they are divided by 11, at least two of the integers will give the same remainder.

The following is the explanation:

If you divide a number by 11, the answer will be a fraction. There are 11 remainders which might occur, which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

If for example we choose one number and divide it by 11, there is a chance that the remainder may be any of the 11 (0 reminders 1). Therefore, if we choose 10 numbers, we will have the opportunity to pick 10 unique remainders, ranging from 0 to 10.

In conclusion, if we select one more integer, that is we pick 10 integers, then at least two of them would have the same remainder since there are only 10 remainders.

Because of this, we need to choose 10 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 11.

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Answer:

Step-by-step explanation:

Ok

Answer:

what

Step-by-step explanation:

:(

Answer:

∠A = 20°

Step-by-step explanation:

Given:

Line AB equal to line AC

So, we can say that;

∠B = ∠C

So

∠B = ∠C = 80°

Using angle sum rule

∠A + ∠B + ∠C = 180°

∠A + 80° + 80° = 180°

∠A = 20°

Answer:

i dont know im very bad at math

The probability that a randomly selected score will be less than 89 is 0.9821.

The probability that a randomly selected score will be less than 89 can be found using the z-score formula.
The z-score formula is:
z = (x - μ) / σ
Where x is the score we are interested in, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
Plugging in the values given in the question, we get:
z = (89 - 72.8) / 7.7
z = 16.2 / 7.7
z = 2.10
Now we can use a z-table to find the probability that a randomly selected score will be less than 89.
Looking up a z-score of 2.10 on a z-table, we find that the probability is 0.9821.

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Answer:

156.73 cm

Step-by-step explanation:

height of the person = (2.75 × humerus length)+71.48 cm

length of the found humerus = 31cm

∴ height of the person = (2.75 × 31)+71.48 cm

                                     = 85.25 + 71.48 cm

                                     = 156.73 cm

A measurement using a ruler marked in cm is reported as 12 cm. The range of values for the actual measurement can be from 11.5 cm to 12.5 cm.

A measurement is a quantification of a characteristic, such as the weight, height, volume, or size of an object. Measurements of physical parameters such as length, mass, and time are commonly used.

The size of a quantity, such as 12 meters or 25 kilograms, is usually given as a number.

The value of the quantity is the numerical answer, while the unit is the type of measurement used to express it.

In the question, it is given that a measurement is reported as 12 cm, but the actual measurement can have some deviations or uncertainties. This deviation is called the uncertainty of the measurement.

The range of values for the actual measurement can be given by the formula:

Measured value ± (0.5 x smallest unit)where 0.5 is the uncertainty associated with the measurement using a ruler marked in cm

.In this case, the smallest unit is 1 cm, so the range of values for the actual measurement can be calculated as:

12 cm ± (0.5 x 1 cm)

= 12 cm ± 0.5 cm

Therefore, the range of values for the actual measurement is from 11.5 cm to 12.5 cm.

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Answer:

A. f(x)=log(x+1)-1, is the correct answer.

Step-by-step explanation:

First, I'm going to state my assumptions.

1. There is only one correct answer

2. 0 cannot be the y-intercept

3. You are not going to use imaginary units.

First, the y-intercept is found when x=0, so we are going to plug that in.

A. f(x)=log(1)-1 =-1 Correct.

B. f(x)=log(0+1)=0 Incorrect since it is assumed that 0 cannot be the y-intercept.

C. f(x)=log(0-1)+1 Impossible without using imaginary units, therefore, this answer is incorrect.

D. f(x)=log(0-1)-1 Same story as C.

Answer:

A

Step-by-step explanation:

Comment

The best way to find out the answer to this is to graph it. Once you've done that, it will be obvious once you have done that. The question is which way does y = log(x + 1) move? Left or right? Look at the red line. That's the one that has the y intercept. The line is y = log(x+1) - 1

Positive image height indicates an upright image, whereas negative image height indicates an inverted image.
Based on these steps, we can conclude that the image height in this case is negative.

If an image is real and inverted, then the image height can be determined as follows:
Identify the properties:

In this case, the image is real and inverted.
Understand the terms:

A real image is formed when light rays converge at a point, while an inverted image means that the image is upside down compared to the object.

Analyze the height: In the context of optics, the image height refers to the vertical size of the image formed by an optical system.

Positive image height indicates an upright image, whereas negative image height indicates an inverted image.
Based on these steps, we can conclude that the image height in this case is negative.

This is because the image is inverted, and a negative image height signifies that the image is upside down compared to the object.

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Answer:

option 2

Step-by-step explanation:

Considering that the larger triangle is the image of the smaller triangle after a dilation whose center is at (-2,1), the scale factor that was used in the dilation is 2.

Dilation is a technique for creating comparable figures that have their size reduced or increased by certain scaling factors.

Hence, the dilation of a triangle involves decreasing or increasing their sizes by a scale factor.

Considering the larger triangle which is the image of the smaller triangle after a dilation with center at (-2,1);

Scale factor = 5 - 1 / 1 - (-1)

Scale factor = 4 / 2

Scale factor = 2

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Answer:

10+78t-16t^2

Step-by-step explanation:

(-16t-2)(t-5)

-16t × t= -16t²

-16t × -5=80t

-2 × t= -2t

-2 × -5=10

-16t²+80t-2t+10= -16t^2+78+10

Mary has enough money to buy everything.

The total amount of money Mary requires to prepare cream teas for 30 people is less than £35. Therefore, she has enough money. Let's verify by calculating the cost of all items. Mary needs 2 scones per person.

So, she requires:2 x 30 = 60 scones

A pack of 10 scones costs £1.35.

Therefore, the cost of 60 scones is: 60/10 x £1.35 = £8.10

Mary requires 1 tub of clotted cream per person.

Therefore, she needs:6 x 5 = 30 tubs

A pack of 6 tubs of clotted cream costs £2.95.

Therefore, the cost of 30 tubs is: 30/6 x £2.95 = £14.75Mary requires 1 small pot of jam per person.

Therefore, she needs:1 x 30 = 30 small pots of jamEach small pot of jam costs 40p

Therefore, the cost of 30 small pots of jam is: 30 x 40p = £12Therefore, the total cost of all the items is:£8.10 + £14.75 + £12 = £34.85

As we can see, the total amount of money required to prepare cream teas for 30 people is £34.85, which is less than £35. Therefore, Mary has enough money to buy everything.

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If the triangle is acute, the possible value for the area of the square on the remaining side is 81 inch².

For the triangle to be acute, then the area of both the smaller squares need to be able to be larger than the area of the longer side square when added.

This means that if the triangle is acute, the minimum area of the smaller side is:

= 100 - 36 + 1

= 65 inch²

Of the options, the only area larger than 65 inch² is 81 inch².

Options for this question include:

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The mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values were between 5.8 and 10.6, and the total number of values was 95.4%

The mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values are between 5.8 and 10.6, and the total number of values is 95.4%.

To calculate the mean, we must first calculate the sum of all the values. To do this, we will use the following formula:

sum of values = (lowest value + highest value) / 2

In this case, the lowest value is 5.8 and the highest value is 10.6, so the sum of values is 8.2.

We now have the sum of all the values, so we can calculate the mean by dividing the sum by the total number of values. The total number of values is 95.4%, so the mean is 8.2 / 0.954 = 8.57.

Therefore, the mean of the normal distribution is 8.57.

In conclusion, the mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values were between 5.8 and 10.6, and the total number of values was 95.4%. When the sum of all the values (8.2) was divided by the total number of values (0.954), the mean was calculated to be 8.57.

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Refer to the attachment for complete calculation.

3²× 11^-9

Answer:

below

Step-by-step explanation:

1.

\( \sqrt{80 } = 4 \sqrt5\)

\(5 \sqrt{45} = 15 \sqrt{5} \)

\(4 \sqrt{5} + 15 \sqrt{5} = 19 \sqrt{5} \)

2.

\(2 \sqrt{72} = 12 \sqrt{2} \)

\(3 \sqrt{50} = 15 \sqrt{2} \)

\(12 \sqrt{2} - 15 \sqrt{2} = - 3 \sqrt{2} \)

Answer:

Pam is correct.

Step-by-step explanation:

Divide 15 by 3 = 5

5 x 4 = 20, the total of toys she has.

Answer: her step is correct because she followed the right steps

Step-by-step explanation:

4(x-2) = 16

She first distributed

4x - 8 = 16

+8. +8

Then she add 8 to both side

4x = 24

- -

4. 4

Then she divided both side by 4 to find the value of x

X = 6

Let:

x = Amount of first brand

y = Amount of second brand

so:

where:

So:

so:

Answer:

44 mm of the first brand

176 mm of the second brand