Find the length of JC

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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Answer:

6 + 40 *3 = 126

Step-by-step explanation:

first is 6 and you add 3 in every step

Answer:

126 smileys

Step-by-step explanation:

\(a_{1} =\) First term

    = 6

\(d =\) Common difference

  = 3

\(n =\) \(n^{th} term\)

  = Step number

Arithmetic sequence will be applied:

\(a_{n} = a_{1} + (n - 1)d\)

For n = 2:

\(a_{2} = 6 + (2 - 1)(3)\)

    \(= 6 + (1)(3)\)

    \(= 9\)

For n = 3:

\(a_{3} = 6 + (3-1)(3)\)

    \(= 6 + (2)(3)\)

    \(= 6 + 6\)

    \(= 12\)

∴For n = 41:

\(a_{41} = 6 + (41 - 1)(3)\)

     \(= 6 + (40)(3)\)

     \(= 6 + 120\)

     \(= 126\)

∴There will be 126 smiley faces in Step 41

The simplified form of the expression, (8.4 x 10^11)/(5.25 x 10^2)(8.0 x 10^3), in scientific notation is 2.0 × 10⁵

From he question, we are to evaluate the given expression in scientific notation.

The given expression is

(8.4 x 10^11)/(5.25 x 10^2)(8.0 x 10^3)

First, we will write this expression properly

The expression written properly is

(8.4 x 10¹¹)/(5.25 x 10²)(8.0 x 10³)

Evaluating

(8.4 x 10¹¹)/(5.25 x 8.0)(10² x 10³)

(8.4 x 10¹¹)/(5.25 x 8.0)(10² ⁺ ³)

(8.4 x 10¹¹)/(42.0)(10⁵)

(8.4 x 10¹¹)/(42.0 × 10⁵)

(8.4/42.0) × (10¹¹ / 10⁵)

(0.20) × (10¹¹ ⁻ ⁵)

(0.20) × (10⁶)

= 0.20 × 10⁶

= 2.0 × 10⁵

Hence, the expression is 2.0 × 10⁵

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I hope that the attachment helps you..

Answer:

SD = 27.

Step-by-step explanation:

It is given that,

SA = 5x-8

AD = 2x

SD = 4x+7

Note : A should be the mid point of S and D.

SD = SA+AD

Putting all the values,

4x+7=5x-8+2x

taking like terms together

4x-5x-2x=-8-7

-3x=-15

x = 5

The value of x is 5

Put x = 5 in SD = 4x + 7

So,

SD = 4(5) + 7

SD = 27 units

So, the value of SD = 27.

Answer:

It is 1 or 4 i think

Step-by-step explanation:

Answer:

1. (12 × 3) × 8 = 12 (3 × 8)

Step-by-step explanation:

i did lesson!! giving free answers to people!! you're welcome!!

Answer:

sqrt(A/pi), -sqrt(A/pi)

Step-by-step explanation:

A=pi*r^2

r^2=A/pi

r=sqrt(A/pi), -sqrt(A/pi)

Answer:

b = 12

Step-by-step explanation:

15 - 2b = -9

Minus 15 to both sides

-2b = -24

Divide both sides by -2

b = 12

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

The distance between the parallel sides of the right trapezoid is 3 units option (B) 3 is correct.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

It is given that:

The right trapezoid is shown in the picture.

From the picture,

The right angle triangle can be used to find the distance between the parallel sides of the right trapezoid.

Applying Pythagoras theorem:

The distance between the parallel sides = √(5² - 4²)

= √9

= 3 units

Thus, the distance between the parallel sides of the right trapezoid is 3 units option (B) 3 is correct.

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The equation for a transformed cosine wave with the following properties is  y = 3cos2x + 4

An equation for a transformed cosine wave with the following properties can be written in the form:

y = A× cos(B(x - C)) + D

Where:

A = amplitude (positive value)

C = phase shift (horizontal shift of the wave)

D = vertical shift (shift of the wave up or down)

Here we have

Amplitude = 3

Period = π

Horizontal shift = None

Vertical shift  = 4 units  up  

As we know Period P = 2π/B

From the data => 2π/B = π

=> B = 2  

Hence,

Equation for a transformed cosine wave, y = 3 × cos(2(x - 0)) + 4

=> y = 3 × cos(2(x )) + 4

=> y = 3cos2x + 4  

Therefore,

The equation for a transformed cosine wave with the following properties is  y = 3cos2x + 4

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The first term and the common difference of the Arithmetic Progression which the given sum of the first 5 terms are respectively; 6 and 1/4

We are told;

Sum of first 5 terms of the AP = 65/2

Formula for sum of n terms of an AP is;

S = ⁿ/₂(2a + (n - 1)d)

65/2 = ⁵/₂(2a + 4d)

⇒ 65 = 5(2a + 4d)

13 = 2a + 4d     ------(1)

Formula for the nth term of an AP is;

aₙ = a + (n - 1)d

five times the 7th term is the same as six times the second term.

7th term is; a₇ = a + 6d

second term is; a₂ = a + d

Thus;

5(a + 6d) = 6(a + d)

5a + 30d = 6a + 6d

a = 24d

Put 24d for a in eq 1 to get;

13 = 2(24d) + 4d  

13 = 52d

d = 13/52

d = ¹/₄

Thus; a = 24(¹/₄) = 6

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Answer:

13, 14

Step-by-step explanation:

The pattern is add 1, add 2, add 1, add 2

13 , 14 are the next 2 numbers in the sequence.

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

D

Step-by-step explanation:

No need to solve for y. The value of y is given. See it?

To find x, plug the given value of y into

4x - 3y = 18.

4x - 3(-2) = 18

4x + 6 = 18

4x = 18 - 6

4x = 12

x = 12/4

x = 3

Answer: y = -2 and x = 3.

Understand?

Answer:

X=3 y=-2

Step-by-step explanation:

4x-3y=18

4x-3(-2)=18

4x+6=18

4×=18-6

4x=12

divide both sides by 4

X=3

Answer:

B will be the answer...

Step-by-step explanation:

The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.

To do that, we need to multiply the first equation by 5.

5 (-x − 2y = 7)

-5x − 10y = 35

Add to the second equation.  Notice the x terms cancel out.

(-5x − 10y) + (5x − 6y) = 35 + (-3)

-16y = 32

Combining this new equation with the first equation from system A will get us system B.

-x − 2y = 7

-16y = 32

Answer:

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

exact answer

Answer:

The 3rd set

Step-by-step explanation:

The first set has a range of 6, not 5

The second set has a range of 5, but not a mean of 5

The third set has both a mean and a range of 5

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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Answer:

\(\boxed{\tt A. \;y = .613x + 4.142}\)

Step-by-step explanation:

Equation: (y-y_1)=y_2-y_1/x_2-x_1 (x-x_1)

Here,

\(\tt (x_1,y_1):(-2,2.9)\)

\(\tt (x_2,y_2): (-3.5,2)\)

\(\tt y-2.9=\cfrac{(2-2.9)}{(-3-5-(-2))} (x-(-2))\)

\(\tt y-2.9=\cfrac{-0.9}{-1.5} (x+2)\)

\(\tt y-2.9=0.6(x+2)\)

\(\tt y-2.9=0.6x+1.2\)

\(\tt y=.613x+4.142\)

___________________

Hope this helps you!

Have a nice day!

It is given that the product of 7 and a number, increased by 3, is equal to twice the number, subtracted from 39.

It is required to find the number.

To do this, write the statement as an algebraic statement.

Let the number be x.

The product of 7 and a number is:

The product of 7 and a number increased by 3 is:

Twice the number is:

Twice the number subtracted from 39 is:

Since it is given that these expressions are equal, it follows that:

Solve the resulting equation for x:

The number is 4.

Answer:

46

Step-by-step explanation:

46 (ve had this problem before)

Answer:

The train travels at 66 miles per hour.

Step-by-step explanation:

Given that:

Time taken by train = 8 hours

Distance covered by train in 8 hours = 528 miles

Unit rate is defined by the distance travelled by train in one hour.

Therefore, we will divide the total time taken by train to distance covered by train in that time.

Unit rate = \(\frac{Distance\ travelled}{Time\ taken}\)

Unit rate = \(\frac{528}{8}\)

Unit rate = 66 miles per hour

Hence,

The train travels at 66 miles per hour.

As a result, -3/10 csc⁵-3x + C is the antiderivative of 9csc-3xcot-3x⋅ csc³-3x.

In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or an added to the initial, the derivative which is the previous function (indefinite integral).

9csc-3xcot-3x ⋅ csc³-3x = 9csc⁴-6x cot-3x

Then, we can use u-substitution, with u = csc-3x and du/dx = -3csc-3xcot-3x dx, as in the previous problem. We get:

∫9csc-3xcot-3x⋅ csc³-3x dx = -3/2 ∫u⁴ du

= -3/2 × u⁵ / 5 + C

= -3/10 csc⁵-3x + C

Therefore, the antiderivative of 9csc-3xcot-3x⋅ csc³-3x is -3/10 csc⁵-3x + C.

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The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

Answer:

The answer is A 1 4/5

Work:

7 1/5- 6 2/5

turn 7 1/5 into 6 6/5 and now subtract the two fractions

6/5-2/5= 4/5

now subtract the whole numbers:

6-6=1

So, your answer should be 4/5 (A)

The measure of the missing side length from the given figure is 11 feet.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

In the given figure, assuming that all the intersecting sides meet at right angles.

So, the opposite sides are parallel to each other.

Let x be the length of missing side.

Thus, The length of missing side = Sum of length of parallel sides

Now, x= 5+6

= 11 feet

Therefore, the length of side missing is 11 feet.

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