I need help asap pls!!!!

It shtbe noted that 68% of the data should fall in the interval from 616 to 756.

z score for values:

z = (X-µ)/σ = (616-686)/70 = -1

z = (X-µ)/σ = (756-686)/70 = 1

Approximately 68% of the data should fall in the interval from 616 to 756.

b) B. 71% of the data falls in the interval from 616 to 756. The estimate is very close to the value predicted by the Empirical Rule.

c) (µ - 2*σ, µ + 2*σ)

(686 - 2*70, 686 + 2*70)

(546, 826)

You expect to find about 95% of the teams between the two values 546 and 826.

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The measures of the angles are

MSR = 42

MSCQ = 138 degree

mSQR = 318 degrees

mQV = 42 dgerres

MSCQ + MSCR = 180

MSR = MSCR = 42

MSCQ + 42 = 180

MSCQ = 138 degree

MSQR = 360 - 42

= 318 degrees

MQV = MSR vertically opposite

= 42 degree

MQSR = 1/2 x 42

= 21 degrees

MQV = 1/2 x 180 = 90 degrees

The measures of the angles have been solved for

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The single payment Jacob would make in 24 months from now, to pay off the two obligations under the new agreement is $7,620.

We shall be solving this using the formula for Simple Interest,

The interest accrued on each payment can be calculated using the formula for Simple Interest:

Interest = Principal × Rate × Time

where:

Principal = amount borrowed,

Rate = simple interest rate,

Time = time period in years.

Under the original agreement, Jacob shall make two payments of $3000 each, one 6 months from now and the other 12 months from now.

For payment1, the interest accrued would be:

Interest1 = $3000 × 0.10 × (6/12) = $150

For payment2, the interest accrued would be:

Interest2 = $3000 × 0.10 × (12/12) = $300

So the total amount Jacob was to pay under the original agreement is:

Total1 = $3000 + $150 + $3000 + $300 = $6,450

Now let's calculate the amount Jacob would have to pay under the new agreement.

Original principal for each payment is $3000.

The interest accrued on the sum of both payments can be calculated using the same formula for simple interest:

Interest3 = ($3000 + $150 + $3000 + $300) × 0.10 × (24/12) = $720

So the total amount Jacob would pay under the new agreement is:

Total2 = $3000 + $150 + $3000 + $300 + $720 = $7,620

So, Jacob would make a single payment of $7,620, 24 months from now,

to pay off both loans under the new agreement.

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Answer:

The area of the shaded region is 27 units^2.

Step-by-step explanation:

Area of outer square = 6^2 = 36 units^2

Area of inner square = 3^2 = 9 units^2

Area of shaded region

= 36 units^2 - 9 units^2 = 27 units^2

The area of a shaded region in a unit grid can be found either by subtracting the area of unshaded regions from the total grid area or by adding up the areas of identifiable shapes within the shaded region.

To find the area of the shaded region without counting every square, you can use a few different strategies, such as identifying and subtracting the area of unshaded regions from the total grid area, or recognizing and adding together larger, easily countable shapes within the shaded region.

For example, if your grid is 10x10 units, the total area would be 100 square units. If, within that grid, there are 20 unshaded squares, you can subtract this from the total area to find the area of the shaded region. So, 100 total square units - 20 unshaded square units = 80 shaded square units. This approach works best when the number of unshaded squares is relatively small or easily countable.

Alternatively, if the shaded region forms easily identifiable shapes (like a 5x5 square or a 3x10 rectangle), you can add the areas of these shapes together to get the total shaded area. This approach works best when the shaded region forms a few large, simple shapes.

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The situation is modeled by the linear equation:

t = $5*x

We know that Brenda earns $5 each week for chores. The variable x represents the number of weeks brenda did her chores, and t represents the total dollars she earned.

Then if she works for x weeks, the amount that she earns is x times $5, then the equation will be a linear one:

t = $5*x

That is the equation.

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The equivalent expressions is solved to give the quantity four ninths end quantity to the power of x. Option C

An algebraic expression can be described as an expression that is made up of terms, factors, coefficient, variables and constants.

These expressions are also composed of mathematical operations.

Also note that index forms are mathematical forms used to represent numbers too large or too small.

From the information given, we have that;

(2/3)²⁽ˣ⁾

expand the bracket, we get;

(2/3)²ˣ

Find the square of both the numerator and denominator, we get;

(4/9)ˣ

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The scatter plots that do not show a linear relationship are B and C

The distribution of points on a scatter plot's graph can show a linear relationship between two variables. A linear relationship exists between two variables when there is a consistent change in one variable for every change in the other.

The horizontal axis and the vertical axis of a scatter plot each indicate a separate variable. Each data point is plotted on the graph based on its values for the two variables. If the variables are related to one another linearly, the points will often fall in a straight line.

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Answer:

We can use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we know that the two sides have lengths of 2 cm and 6 cm, and we are trying to find the length of the third side, which we'll call x. We also know that the third side is not the hypotenuse, so we can't just assume that it's the longest side.

Using the Pythagorean theorem, we can write:

x^2 + 2^2 = 6^2

Simplifying, we get:

x^2 + 4 = 36

Subtracting 4 from both sides, we get:

x^2 = 32

Taking the square root of both sides, we get:

x = sqrt(32)

Simplifying, we get:

x = 4sqrt(2)

So the length of the third side is 4sqrt(2) centimeters.

Answer:

Step-by-step explanation:

The value of y in the triangle is 20.

What is the triangle?

A triangle is a polygon with three sides and three angles. It is the simplest and most basic polygon in Euclidean geometry.

According to the given information:

From the figure, we can say that ΔABC and ΔABI are similar.

we can write proportions as

[tex]\frac{y}{30} =\frac{30}{y+25}[/tex]

y(y+25) = 30*30

[tex]y^{2}[/tex]+25y=900

[tex]y^{2}[/tex]+25y-900 = 0

On solving we can use quadratic formula y = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation y^2 + 25y - 900 = 0, we can identify a = 1, b = 25, and c = -900.

Plugging these values into the quadratic formula, we get:

y = (-25 ± √(25^2 - 4 * 1 * -900)) / (2 * 1)

Simplifying further:

y = (-25 ± √(625 + 3600)) / 2

y = (-25 ± √(4225)) / 2

y = (-25 ± 65) / 2

Now we can solve for two possible values of y:

y = (-25 + 65) / 2 = 40 / 2 = 20

y = (-25 - 65) / 2 = -90 / 2 = -45

So the two possible values of y that satisfy the given equation are y = 20 and y = -45.

distance cannnot be negative, so the value of y is 20.

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I actually do not know because I am still in grade 6

The frequency for the interval 160-169 seconds is 3.

The value that appears the most frequently in a data set is its mode. In the data set, it is the number that appears the most frequently. For instance, in the subsequent data set:

2, 3, 4, 4, 5, 5, 5, 6, 7, 8

Since no other value appears more frequently, the mode is 5, which only appears three times. The data set is considered to have several modes if various values occur with the same greatest frequency. There is no mode if no value appears more than once in the data collection.

From the given table we see that the songs that have the time duration between 160 and 169 is:

162, 168, 165

Hence, the frequency for the interval 160-169 seconds is 3.

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The complete question is:

Therefore , the solution of the given problem of volume comes out to be the other leg of the right triangular pyramid's base is 12 yards long.

The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Litre and in3 are the symbols for cubic measurements. However, in order to determine an object's dimensions, you must be aware of its volume. It's common practise to translate an object's weight onto metric units like kilogrammes.

Here,

Let's use "x" yards to represent the unknown leg of the right triangular pyramid's base.

A pyramid's volume can be calculated using the following equation: => => Volume = (1/3) * Base Area * Height

In this instance, the height of the pyramid is 14 yards, and its base is a right triangle with legs that are 8 yards and 'x' yards in length.

Consequently, we can formulate the equation for the pyramid's volume as follows:

=> 168 = (1/3) * (8 * x) * 14

The simplified formula gives us 168 = (4/3) * 14 * x.

We may find "x" by dividing both sides of the equation by

=> [(4/3)*14]: 168 / [(4/3)*14] = x.

=> x = 12

Therefore, the other leg of the right triangular pyramid's base is 12 yards long.

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The length of ST is 24.

In geometry, a tangent is a line that touches a curve at a single point, without crossing over the curve at that point. This point of contact is called the point of tangency.

For example, in a circle, a tangent is a line that intersects the circle at exactly one point. The tangent line is perpendicular to the radius of the circle at the point of tangency.

Tangents are important in geometry because they allow us to find the slope of a curve at a specific point. The slope of the tangent line at a point on a curve is equal to the derivative of the function representing the curve at that point.

To find the length of ST, we need to find the length of SR and add it to the length of RT.

Using the tangent-tangent theorem, we know that RP is perpendicular to RT at point R. Therefore, angle RPT is a right angle.

We can use the Pythagorean theorem to find the length of RT. Let's call the length of RP "a" and the length of PT "b". Then, we have:

a² = (x+6)² + b² (from right triangle PQR)

a² = (2x-9)² + (b+3)² (from right triangle PSR)

Setting these two equations equal to each other, we have:

(x+6)² + b² = (2x-9)² + (b+3)²

Expanding and simplifying, we get:

x² - 24x + 90 = 0

Solving for x using the quadratic formula, we get:

x = (24 ± √(24² - 4190)) / (2*1) = 15 or 6

Since x cannot be negative, we take x = 15.

Now we can use the Pythagorean theorem to find the length of SR:

a² = (2x-9)² + (b+3)²

a² = (2*15-9)² + (b+3)²

a² = 276 + (b+3)²

We also know that SR = 3, so:

3² = (b+3)²

9 = b² + 6b + 9

b² + 6b - 0 = 0

Solving for b using the quadratic formula, we get:

b = (-6 ± √(6² - 410)) / (2*1) = -3 or 0

Since b cannot be negative, we take b = 0.

Therefore, we have:

a² = (x+6)² + b²

a² = (15+6)² + 0²

a² = 441

So, RT = a = √(441) = 21.

Finally, we have:

ST = SR + RT = 3 + 21 = 24.

Therefore, the length of ST is 24.

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Answer:

[tex]m = \frac{4 - ( \sqrt[3]{ - 6} + 4)}{0 - ( - 6))} = \frac{ \sqrt[3]{6} }{6} = .303[/tex]

So the average rate of change of g(x) over -6 < x < 0 is about .303.

There are 462 different possible lineups of 5 songs that can be composed from the given list of 11 songs.

We need to use the idea of combinations to figure out how many different lineups of musical entertainment can be made. A way to select objects from a larger set without regard to their order is called a combination.

In this problem, we have to choose five songs from an 11-song list. We would like to know how many different ways there are for us to select five songs from the eleven that are available, where the order of the songs in the lineup is irrelevant. We can use the combination formula to solve this.:

n choose k = n! / (k! * (n - k)!)

where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial, which is the product of all positive integers up to and including that number.

In this case, we have 11 songs to choose from and we want to choose 5 songs. So we can plug these values into the formula:

11 choose 5 = 11! / (5! * (11 - 5)!)

= (11 * 10 * 9 * 8 * 7) / (5 * 4 * 3 * 2 * 1)

= 11,880 / 120

= 462

Consequently, there are 462 unique potential setups of 5 tunes that can be created from the given rundown of 11 melodies.

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• Concept: Exponents

• Solution:

You want to simplify the expression 4⁰×4².

We will use basic exponent properties for this.

First bear in mind that anything to the power of 0 is 1.

So that means that 4⁰ = 1.

We're not done yet because we still need to simplify the other part:

4².

Don't forget that:

Because

4² = 4×4 which is 16

So we have 1 times 16 or just 16.

Answer: choice "c": 16

The correct values to fill in the missing information are:

Claim: The claim is that the proportion of American adults who eat salad once per week is different from 50%, which corresponds to the null hypothesis H0: p = 0.5.

Opposite: The opposite of the claim is that the proportion of American adults who eat salad once per week is equal to 50%, which corresponds to the alternative hypothesis H1: p = 0.5 (Note that in this case, the alternative hypothesis is the opposite of the claim since we are testing for a difference from 50% in the claim).

Therefore, the claim is H0: p ≠ 0.5 (two-tailed test), and the opposite is H1: p = 0.5 (two-tailed test).

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The simplest form of the expression "(14ab³)/(7a⁻²b⁻¹)" is represented by the expression (d) 2a³b⁴.

To simplify the expression (14ab³)/(7a⁻²b⁻¹), we first simplify the terms with the same base,

First, we simplify the coefficients "14" and "7" by dividing them to get:

⇒ (14ab³)/(7a⁻²b⁻¹) = 2ab³/a⁻²b⁻¹;

Next, we simplify the variables "a" and "b" by subtracting the exponents of "a" and "b" in the denominator respectively,

We get,

⇒ 2ab³/a⁻²b⁻¹ = 2a¹⁻⁽⁻²⁾b³⁻⁽⁻¹⁾ = 2a¹⁺²b³⁺¹ = 2a³b⁴,

Therefore, the simplest form of the expression (14ab³)/(7a⁻²b⁻¹) is 2a³b⁴, the correct option is (d).

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The given question is incomplete, the complete question is

Look at this expression. (14ab³)/(7a⁻²b⁻¹),

Which of the following is the simplest form of the expression above?

(a) 2a⁻²b⁻³

(b) 2a⁻¹b²

(c) 2[tex]a^{-\frac{1}{2} }[/tex]b⁻³

(d) 2a³b⁴.

The value of the missing side x is 12. 6

We have that the Pythagorean theorem states that the square of the hypotenuse side is equal to the square of the other two sides.

From the information given, we have that;

(4√5)² = 8² + y²

find the square values

80 = 64 + y²

collect the like terms

y² = 16

y = 4

Also, using the Pythagorean theorem, we have;

x² = 4² + 12²

find the squares and substitute the values

x² = 16 + 144

x² = 160

Find the square root

x = 12. 6

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Answer:

See below!

Step-by-step explanation:

Length = x + 4 cm

Width = 2x - 7 cm

Perimeter:

Put the given data.

36 = 2(x + 4) + 2(2x - 7)

36 = 2x + 8 + 4x - 14

36 = 2x + 4x + 8 - 14

36 = 6x - 6

36 + 6 = 6x

42 = 6x

42/6 = x

7 = x

OR

Area = (x + 4)(2x - 7)

Put x = 7

Area = (7 + 4)(2(7) - 7)

Area = 11(14 - 7)

Area = 11(7)

[tex]\rule[225]{225}{2}[/tex]

Answer: (a) x=7

(b) area of this rectangle = 77[tex]cm^{2}[/tex]

Step-by-step explanation:

(a) the perimeter of a rectangle = 2 * [  l + b ]

36 = 2 * [ (x + 4) + (2x - 7) ]

36 / 2 = x + 4 + 2x - 7

18 = 3x -3

18 + 3 = 3x

21 = 3x

x = 7

(b) the area of a rectangle = l * b

l = x + 4 = 11cm

b = 2x -7 = 7cm

therefore, 11cm * 7cm = 77[tex]cm^{2}[/tex]

$15 is the cost of a 6-ounce serving cost.

What is the cost price?

The precise value that corresponds to the unit price paid is represented by the cost price. In some stock market theories, this value is utilized to establish the value of stock holdings and is used as a key determinant of profitability.

Here, we have

Given: If a 24-pound EP rib of beef costing $45.00 is purchased oven-ready, and 1/4 of it is lost during roasting.

EP = 24 lb costing $45

1/4th lost during roasting.

Remaining = 24 lb - (1/4) of 24 lb

= 24 lb - 6 lb

= 18 lb

Now, this roast should match the cost of the original EP.

Cost per lb = (cost of beef originally)/(quantity of roasted beef)

= 45/18 dollar per lb

Cost of 6-ounce serving cost = (45/18)×6 = $15.

Hence, $15 is the cost of a 6-ounce serving cost.

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Answer:

Let's assume the number of boys in the school as "B".

Then, the number of girls can be expressed as "B - 28".

According to the problem, the total number of students is 1176. Therefore, we can write an equation as follows:

B + (B - 28) = 1176

Simplifying the above equation, we get:

2B - 28 = 1176

Adding 28 to both sides, we get:

2B = 1176 + 28

2B = 1204

Dividing both sides by 2, we get:

B = 602

Therefore, there are 602 boys in the school.

A statement which could be true for g is that: D. g(-13) = 20.

In Mathematics and Geometry, a domain can be defined as the set of all real numbers for which a particular function is completely defined.

Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.

By extrapolating the function, we can deduce that:

g(0) = -2

g(-9) = 6

g(-13) = 20

In this context, we can reasonably infer and logically deduce that based on the answer options provided, g(-13) = 20 is the only statement that could be true for the function g.

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(7) The volume of the triangular based prism is 41.16 m³.

(8) The volume of the haxagonal based prism is 1793.4 cm³.

Volume is the space ocuppied by a solid shape.

(7) To calculate the volume of the triangular based prism, we use the formula below

Formula:

Where:

Substitute these values into equation 1

(8) Also, to calculate the volume of the hexagon based prism, use the formula below

Where:

SUbstitute these values into equation 2

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The average height of the soccer team is 77.45 inches, and the average height of the basketball team is 79 inches.

To find the average height of each team, we'll sum up the heights and divide by the number of players on each team.

Soccer team average height:

Sum of heights: 60+61+...+87+88 = 2,246 inches

Number of players: 29

Average height: 2246 / 29 = 77.45 inches

Basketball team average height:

Sum of heights: 72+73+...+86+87 = 1,264 inches

Number of players: 16

Average height: 1264 / 16 = 79 inches

So, the average height of the soccer team is 77.45 inches, and the average height of the basketball team is 79 inches.

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Soccer team heights (in inches):

60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88

Basketball team heights (in inches):

72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87

Jason wants to find more information about the heights of players on his school's soccer team and his school's basketball team. Jason surveys 29 members of the soccer team and 16 members of the basketball team. The heights of the soccer team and basketball team players are given above. What is the average height of the soccer team and the basketball team?

The number of hours Matt babysits his sister is 1 and half hours.

Given that, Matt's parents pay him $5.50 for each half hour he babysits his sister, plus a two dollar tip.

Let the number of half an hours Matt babysits his sister be x.

Matt made $18.50

So, equation is 5.50x+2 =18.50

5.50x=16.50

x=16.50/5.50

x= 3

Which means 1 and half hours he babysits his sister.

Therefore, the number of hours Matt babysits his sister is 1 and half hours.

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As a result, the sequence's tenth term is 142 as the 10th term of the arithmetic sequence with a first term of 7 and a common difference of 15.

An arithmetic progress (AP) in mathematics is a set of numbers where each term following the first is formed by adding a predetermined constant to the term before it. The mathematical progression's common difference is the name of this unchanging constant. For instance, the number progression 3, 7, 11, 15, 19,... has a common difference of 4 and is an arithmetic progression. The formula: yields the nth word of an arithmetic progression. a n = a 1 + (n - 1)d where n is the desired term's number, a n is the sequence's nth term, a 1 is its first term, d is its clear differentiation, and n is its number.

given

We can use the following formula to determine the 10th term of the arithmetic sequence with a first term of 7 and a common difference of 15:

a n = a 1 + (n - 1) * d

where a n represents the nth term in the series, a 1 represents the first term, d represents the common difference, and n is the desired term's number.

Inputting the values provided yields:

[tex]a 10 = 7 + (10 - 1) (10 - 1) * 15 \\a 10 = 7 + 9 * 15 \\a 10 = 7 + 135 \\a 10 = 142[/tex]

As a result, the sequence's tenth term is 142 as the 10th term of the arithmetic sequence with a first term of 7 and a common difference of 15.

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Answer: The 22% discount was calculated as R551 (rounded to the nearest rand).

Step-by-step explanation:

To calculate the discount, we need to determine what percentage of the original price R2 499 the discount of R551 represents.

The formula to calculate the percentage discount is:

Discount percentage = (Discount amount ÷ Original price) x 100%

Substituting the values given in the question, we get:

Discount percentage = (551 ÷ 2499) x 100%

Discount percentage = 0.22088 x 100%

Discount percentage = 22.088%

Therefore, the discount given was 22%.