We can’t understand how to find the pattern

Answer
5^- 7=X 5^- 9 X = 7 9

Lower bound is : 2.70 and upper bound is 3.30

a)There is a 90% probability that the difference of the means is in the interval

b) Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability if the null hypothesis is true.

Given that:

a) [tex]n_1[/tex]=200, [tex]x_1[/tex]=23.9, [tex]s_1[/tex]=4.7

   [tex]n_2[/tex]=200, [tex]x_2[/tex]=18.8, [tex]s_2[/tex]=4.5

The (1-α )% confidence interval for the difference between two mean is:

CI= [tex]x_1-x_2\pm\; t_\frac{\alpha }{2},(n_1+n_2-2\sqrt{\frac{s_1^{2}}{n_1}+\frac{s_2^{2}}{n_2} }[/tex]

the Critical value of 't' will be:

α/2=0.05/2=0.025

Degrees of freedom = [tex]n_1+n_2\\[/tex]-2= 200=200-2=398

[tex]t_{\alpha /2,_(n_1+n_2-2)}= t_{0.025,398}[/tex]=1.96

CI=23.9-18.8±1.96 [tex]\sqrt{\frac{4.7^{2}}{200}+\frac{4.5^{2}}{200} }[/tex]

   = 3±0.3089

   = (3.3089,2.6911)

   ≈(3.30, 2.70)

Thus, 90% confidence interval (3.30, 2.70) implies that the true mean difference value is contained in the interval with probability 0.90.

The Lower bound is : 2.70 and upper bound is 3.30

Thus, There is a 90% probability that the difference of the means is in the interval.

b)The difference between means, null value is 0.

As the null value is 0 and not in the interval, which shows that there is a difference between the two means, concluding that priming does have an effect on scores.

Hence,  Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

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You roll a fair number of cube. The Probability of P(2 then 2) would be 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Here is a complete description You roll a fair number cube to find probability of p(2, then2)

Given the sample space for a die

S = (1, 2,3,4,5,6) = 6

The Probability of 2 then 2 = (1/6) x (1/6)

= 1/36

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Find the Reference Angle (4pi)/7 4π 7 4 π 7 Since the angle 4π 7 4 π 7 is in the second quadrant, subtract 4π 7 4 π 7 from π π.

Thus, [tex]\frac{3\pi }{7}[/tex] is your answer

Answer:

2715 bacteria

Step-by-step explanation:

This is a simple exponential function. We are given that the initial value is 30, that the value doubles every 4 hours.

Thus, we have our function: [tex]y=30*2^{x/4}[/tex]

Plugging in 26 for x, we get 2715.29004 => 2715 bacteria.

Answer:

see below

Step-by-step explanation:

-2> x ≥ -7    can be written as   -7 ≤ x < -2

Answer:

172

Step-by-step explanation:

Formula to find the nth term =

a+(n-1)d

2+(35-1)*5

= 2+170

= 172

Answer:

935

Step-by-step explanation:

Let's solve the rectangle first.  We are dividing this figure into two sepreate shapes, can you see that?

-

1/2*B*h

630

-

Now for the other shape.

Volume = 315

630+315=935

Answer: 1323

Step-by-step explanation: took test with proof and more

Answer:

1 11/64 inches

Step-by-step explanation:

Total thickness

Answer:

1/8

Step-by-step explanation:

divide both sides by 3

Answer:

45+1/3 (all 1/3 is 1/3 of an hour, so do 60/3 to get 20) meaning that 45+20 is 65 minutes or an hour and 5 minutes

Step-by-step explanation:

The value of the given expression will be equal to 441.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution will be given as:-

[tex]\dfrac{9!}{6!}=\dfrac{9\times 8\times 7\times 6!}{6!}[/tex]

[tex]\dfrac{9!}{6!}=9\times 8\timex\times 7=441[/tex]

Therefore the value of the given expression will be equal to 441.

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Answer:

Step-by-step explanation:

The area must be 232 in^2

[tex] \huge \sf \color{pink}{A} \color{green}{N} \color{red}{S} \color{blue}{W} \color{orange}{E} \color{grey}{R}[/tex]

[tex]\large \underline{ \boxed{ \sf{✰ \: Important \: points }}}[/tex]

[tex] \pink{➢}[/tex] Diameter of cone = 18m

[tex] \pink{➢}[/tex]Height of cone = 20m

[tex] \pink{➢}[/tex]A surface of revolution formed by rotating a segment of a line around another line that intersects the first line.

[tex] \pink{➢}[/tex]Cone is basically formed by circular base

[tex]\underline{ \boxed{ \sf{➫\: Volume\:of\:cone = \frac{1}{3} {r}^{2} \pi \: h}}}[/tex]

[tex]\underline{ \boxed{ \sf{ ➪ \: r = radius}}} \\\underline{ \boxed{ \sf{ ➪ \: h = height}}}[/tex]

[tex] \pink{➢}[/tex] We know that radius is half of diameter

[tex] \sf \:➩ r = \frac{18}{2} \\ \sf \: ➩r = \cancel \frac{18}{2} \\ \sf \: ➩r = 9 \: \: \: [/tex]

[tex] \pink{➢}[/tex]Hence radius of cone in data given is 9m

➢ Let's substitute values according to formula

[tex]\sf \: → \frac{1}{3} \times {(9)}^{2}\times 3.14 \times20 \\ \sf→ \frac{1}{3} \times 81 \times 3.14 \times 20 \\ \sf \: → \frac{1}{ \cancel3} \times \cancel{81} \times 3.14 \times 20 \\ \sf→27 \times 3.14 \times 20 \\ \sf \: →1695.6m[/tex]

[tex] \pink{➢}[/tex] Hence volume of cone =1695.6m

Hope it helps !

Answer:

mean: 10.4

mode: 14

median: 13

range: 11

Step-by-step explanation:

To find a mean, add up all the numbers of the data set and divide them by the number of numbers.

To find a mode, just search for the number used the most in the data set.

To find a median, search for the number right in the middle of the data set (if there are 2 numbers in the middle, the median is the average of those 2 numbers.)

To find a range, order all the numbers of the data set from lowest to highest. Then subtract the lowest number from the highest number. :)

Answer: Both are algebra expressions

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation

The roots are

Substitute values into equation

This is matching the option B

Answer:

[tex]x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]x^2-3x-5=0[/tex]

To find the exact solutions of the given equation, use the quadratic formula or complete the square.

Method 1:  Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Therefore:

[tex]a=1, \quad b=-3, \quad c=-5[/tex]

Substituting these values into the formula:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Method 2:  Completing the square

Move the constant to the right side by adding 5 to both sides:

[tex]\implies x^2-3x-5+5=0+5[/tex]

[tex]\implies x^2-3x=5[/tex]

Add the square of half the coefficient of x to both sides:

[tex]\implies x^2-3x+\left(\dfrac{-3}{2}\right)^2=5+\left(\dfrac{-3}{2}\right)^2[/tex]

[tex]\implies x^2-3x+\dfrac{9}{4}=\dfrac{29}{4}[/tex]

Factor the perfect trinomial on the left side:

[tex]\implies \left(x-\dfrac{3}{2}\right)^2=\dfrac{29}{4}[/tex]

Square root both sides:

[tex]\implies \sqrt{\left(x-\dfrac{3}{2}\right)^2}=\sqrt{\dfrac{29}{4}}[/tex]

[tex]\implies x-\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}[/tex]

Add 3/2 to both sides:

[tex]\implies x-\dfrac{3}{2}+\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}+\dfrac{3}{2}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

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Answer:

1464 square kilometers

Step-by-step explanation:

Understanding :

Year 6 :

Answer:

1 and -5

Step-by-step explanation:

[tex]~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5[/tex]

Answer: 5/52 or 10.4 I think

Step-by-step explanation: 5/52 = 10.4

Answer:

6cm by 12cm

Step-by-step explanation:

To find a list of the possible dimensions we can factor 72, as the dimensions of the rectangle must multiply to the area of 72

1 * 72

2 * 36

3 * 24

4 * 18

6 * 12

8 * 9

Now we can use the perimeter to find which pair is the correct answer, as the dimensions must satisfy the formula 2(Length + Width) = 36 (our perimeter)

We can see that the dimensions 6 and 12 give us our area of 72, and they do make a rectangle with the perimeter 36. This means that the dimensions of the rectangle are 6cm and 12cm.

Answer:

b d e a im not fore sure tho

Step-by-step explanation:

Answer:

327.5

Step-by-step explanation:

Answer:

T=(5×n)+500

Step-by-step explanation:

T=Total Stamps

In this case, there is no need to find the answer. All you need is the equation. N would be the multiplier in this case because it's the one that's changing since you're using a variable. If 3 weeks were to pass, then N would equal 3 weeks.

Supposing a spinner with 8 regions, 3 of which are B, there is a 0.375 = 37.5% probability of spinning a b.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose a spinner with 8 outcomes, 3 of which are b, hence the probability is given by:

p = 3/8 = 0.375 = 37.5%.

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Step-by-step explanation:

[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \error \\ \madeindonesia[/tex]

Answer:

The volume is about 1,128.88 cubic cm.

Step-by-step explanation:

[tex] \frac{1}{3} \pi( {7}^{2} )(22) = 1128.88[/tex]