Consider a study testing the hypothesis that, on average, individuals will remember more words in a recall memory test when they are given a new cognitive enhancement drug than when they are given a placebo. The following scores, measuring the number of words remembered, are provided for five individuals tested in both conditions. Drug condition: 7, 9, 8, 9, 8 Placebo condition: 5, 7, 6, 8, 9 The standard error, sM, needed to complete the final calculation of the paired-samples t test is _____. (Answer using two decimal places.)

Shinji is considering two different layouts for a garden. He needs to put a length of fence around whichever layout he chooses.

Which layout needs more fencing and how much?

We cannot determine which layout needs more fencing without knowing the dimensions of both layouts. Please provide more information such as the length and width of each layout. Then, we can calculate the perimeter of each layout to determine which layout needs more fencing.

Note: A fence is typically used to surround a garden to prevent unwanted visitors and animals from entering the garden.

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The current price of the clarinet and the various discounts and markups illustrate that the amount the store paid was $90.

First find out the selling price of the clarinet:

= Discounted price / ( 1 - discount rate)

= 93.60 / ( 1 - 20%)

= $117

This selling price is 30% more than what the store paid so the price the store paid was:

= Selling price / ( 1 + rate of increase)

= 117 / ( 1 + 30%)

= $90

In conclusion, the amount the store paid was $90.

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Complete question

A music store buys instruments and then sells them for 30% more than they paid. During a 20% off sale, the store offers a clarinet for $93.60.

How much did the store pay for the clarinet?

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

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1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.

b) The values of m can be -2, -1, 0, +1, and +2

c) There are a total of 9 orbitals

The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.

Using the formula, number of electrons = \(n^2\)

Number of electrons =\(3^2 = 9\)

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Answer:

y = -300x

Step-by-step explanation:

The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!

Answer:

x = 8

In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.

6 + 6 + 6 = 18

The 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

Let the random variable & parameters be;

x1 : Number of successes from group 1

x2 : Number of successes from group 2

p1: Proportion of successes in group 1

p2: Proportion of successes in group 2

n1 : number of trial in group 1

n2: number of trial in group 2

We are given;

x1 = 260

n1 =985

x2 = 194

n2 = 842

Thus;

p1 = 260/985

p1 =0.2640

p2 = 194/842

p2 = 0.2304

Constructing a (1 - α)100% confidence interval for proportion from the formula;

(p₁ - p₂) - z√[((p₁(1 - p₁)/n₁) + p₂(1 - p₂)/n₂)]

plugging in z = 2.576 and the values of p₁, p₂, n₁ and n₂, we have the confidence interval as;

(-0.0184631, 0.0855743)

Therefore the 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

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Answer:

Step-by-step explanation:

Answer = 6 oranges

.39 x 6 = $2.34

The number of oranges Boubacar buys is 6 oranges

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of oranges a grocery store sells at $ 3.12 = 8 oranges

The number of oranges a grocery store sells at $ 1.00 =
The number of oranges a grocery store sells at $ 3.12 / 3.12

The number of oranges a grocery store sells at $ 1.00 = 8 / 3.12

Now ,

The number of oranges a grocery store sells at $ 2.34 = The number of oranges bought by Boubacar

The number of oranges a grocery store sells at $ 2.34 = ( 8 / 3.12 ) x 2.34

So ,

The number of oranges bought by Boubacar = ( 8 / 3.12 ) x 2.34

                                                                           = 8 x 0.75

                                                                           = 6 oranges

Hence , the number of oranges Boubacar buys is 6 oranges

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Answer:

It is c

Step-by-step explanation:

When you fold it up, it makes a box just like the solid figure.

Have an amazing day!

PLEASE RATE!!

The value of x is 6.2 units.

Now by using the Pythagorean theorem

Hypotenuse² =  Perpendicular² + Base²

Now in the Δ ABD

As given DB² = DA² + AB²

As given

DB = 13 units

AB = 9 units

Putting values in the above

13² = 9²+ DA²

169 - 81 = DA²

88 = DA²

DA=√88

In ΔABC

AB² = AC² + CB²

(As given AB = 9 units , CB = x)

9² = AC² + x²

AC ² = 81 - x²

Now in ΔADC.

AD² = AC² + DC ²

As AC ² = 81 - x²

DC = 13 - x

AD=√88

(√88)²=81-x²+(13-x)²

(By using the formula (a + b)² = a² + b² + 2ab )

88=81-x²+13²-2*13*x+x²

88=81-x²+13²-26x+x²

88-81 - 169 = -26x

88-250 =-26x

-162 = - 26x

x=162/26

x = 6.2 (Approx)

Therefore the value of x is 6.2 units.

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The evaluated value of the given expression, when converted to 150%, is approximately 39.8%.

To evaluate the given expression |9.78 - 9.806| / 9.806 × 100%,

we follow these steps:

Calculate the absolute difference between 9.78 and 9.806: |9.78 - 9.806| = 0.026

Divide the absolute difference by 9.806: 0.026 / 9.806 ≈ 0.0026509197

Multiply the result by 100% to express it as a percentage: 0.0026509197 × 100% ≈ 0.26509197%

Convert the result to 150% by multiplying it by 150 / 100: 0.26509197% × 150 = 39.7637964%

Round the final answer to one decimal place: 39.8%

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Answer:

3 times a number x subtracted by 4

sin (60° - 20)°

sin (40°)

Note that:

sin(A - B) = sinAcosB - cosAsinB

The given trigonometric expression is:

sin 60° cos 20° - cos 60° sin 20°

Applying the addition rule of trigonometry written above:

sin 60° cos 20° - cos 60° sin 20° = sin(60° - 20°)

This can also be written as sin (40°)

Answer:

The volume of the silo is approximately  147,026.6 ft.³.

The most correct option is  147,026.5 ft.³

Step-by-step explanation:

The given dimensions of the silo are;

The shape of the silo = Composite figure of tower and roof

The shape of the tower = Cylindrical

The shape of the roof = Cone

The radius of the base of the silo, 'r' = 30 feet

The height of the cone roof of the silo, h₁ = 12 feet

The height of the entire silo = 60 feet

For the cone roof, we have;

The volume of a cone, V = 1/3 × Base area × Height

The volume of the cone roof, V₁ = 1/3×π·r² × h₁

∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³

For the cylindrical tower, we have;

The height of the entire silo = The height of the tower + The height of the roof

∴ The height of the tower = The height of the entire silo - The height of the roof

The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.

The volume of a cylinder = Area of base × Height

The volume of the cylindrical tower, V₂ = π·r² × h₂

∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³

The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³

The volume of the (entire) silo, Vₙ = V₁ + V₂

∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³

The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.

Answer:

147,026.5 ft.³

Step-by-step explanation:

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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Answer:

A.

have a good day or night

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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According to the given box plot:

Most of the response times were under 13 minutes is true

Fewer than 30 of the response times were over 13 minutes is true

More than half of the response times were 11 minutes or greater is true

About 75% of the response times were 13 minutes or less is true

In box plot the difference between a dataset's first and third quartiles is used to determine the interquartile range (IQR), a measure of variability.

The interquartile range (IQR) depicts the range of values centred on the data's median. Because it is more resistant to outliers than other measures of variability like the range or the standard deviation, it is valuable in statistics.

Observations that are more than 1.5 times the IQR from the adjacent quartile are considered probable outliers and can be located using the IQR.

Box plots and the IQR are frequently combined to compare and summarise data from several groups or samples.

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No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

1. $30.50

2. 20+1.75x

Step-by-step explanation:

Answer:

w = -3

Step-by-step explanation:

Try M*thway for problems like these. For future reference! I had to censor the site but you probably know what it is.

To prove the identity sinh(2x) = 2 sinh(x) cosh(x), we can use the definitions of sinh(x) and cosh(x) and apply trigonometric identities for exponential functions.

We start with the left-hand side of the identity, sinh(2x). Using the definition of the hyperbolic sine function, sinh(x) = (e^x - e^(-x))/2, we can substitute 2x for x in this expression, giving us sinh(2x) = (e^(2x) - e^(-2x))/2.

Next, we focus on the right-hand side of the identity, 2 sinh(x) cosh(x). Again using the definitions of sinh(x) and cosh(x), we have 2 sinh(x) cosh(x) = 2((e^x - e^(-x))/2)((e^x + e^(-x))/2).

Expanding this expression, we get 2 sinh(x) cosh(x) = (e^x - e^(-x))(e^x + e^(-x))/2.

By simplifying the right-hand side, we have (e^x * e^x - e^x * e^(-x) - e^(-x) * e^x + e^(-x) * e^(-x))/2.

This simplifies further to (e^(2x) - 1 + e^(-2x))/2, which is equal to the expression we derived for the left-hand side.

Hence, we have proved the identity sinh(2x) = 2 sinh(x) cosh(x) by showing that the left-hand side is equal to the right-hand side through the manipulation of the exponential functions.

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Answer:

6 for $24.96

Step-by-step explanation:

$5.90 * 3 = $17.70

Therefore 4 books would be $17.70 because you get one for free

$24.96/6 = $4.16

Therefore if you got 4 books it would be $16.64

So, buying 6 books would be cheaper.

we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Recall that in one foot, there are 12 inches. Let's use this conversion to convert 546 inches in feet.

Divide 546 inches by 12 inches.

Hence, 546 inches is equivalent to 45.5 feet.

The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:

θ = s / r,

where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.

In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:

θ = 10 cm / 7 cm.

Simplifying the expression, we get:

θ ≈ 1.42857 radians.

Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

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Solution:

Note that:

Substitute the values into the expression to find the volume.

Color yellow is correct

Answer:

880 mm

Step-by-step explanation:

Perimeter of circle = 2πr

= 2(22/7)(140)

=880 mm

The perimeter of circle is 880 mm.

It is given that radius(r) = 140mm

The perimeter of a circle is also known as circumference of circle.

Circumference (c) = 2\(\pi \\\)r

It is also given that we have to use the value of pie as 22/7

Now,

c = 2 × 140 ×22/7

c = 6160/7

c = 880 mm

The perimeter of circle is 880mm.

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Step-by-step explanation:

an arithmetic sequence means that every new term is the old term plus a constant number.

in our case that constant is +50.

and our starting value a0 = 250

so, the first 4 terms are

$250, $300, $350, $400

for the function formula we know

a0 = $250

a1 = a0 + 50 = 250 + 50 = $300

a2 = a1 + 50 = a0 + 50 + 50 = a0 + 2×50 = $350

a3 = a2 + 50 = a0 + 3×50 = $400

so, we see

an = a0 + n×50 = 250 + 50n

therefore,

f(n) = 250 + 50n

after 9 months saving we reached a9, meaning n=9.

f(9) = 250 + 50×9 = 250 + 450 = $700