Question 2 [10] Give the following grouped data: Intervals frequency [50-58) 3 [58-66) 7 [66-74) 12 [74-82) 0 [82-90) 2 [90-98) 6 2.1 Use the data above to calculate the mean 2.2 What is the first qua

d. During the interval, the car did, in fact, go at least once at 30 mph. The vehicle had to speed through 30 mph in order to reach 32 mph.

The speed and direction of an object's stir are measured by its haste. In kinematics, the area of classical mechanics that deals with the stir of bodies, haste is a abecedarian idea.

A physical vector volume called haste must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value( magnitude) of haste; it's a coherent deduced unit whose volume is measured in metres per second( m/ s or m/ s1) in the SI( metric system).

For case," 5 metres per second" is a scalar while" 5 metres per alternate east" is a vector. An object is considered to be witnessing acceleration if there's a change in speed, direction, or both.

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Answer:

y= -3x + 7

Step-by-step explanation:

y intercept= 7

slope= -3

Answer:

\(gradient = \frac{7 - 1}{0 - 2} \\ = - 3 \\ y = mx + c \\ at \: (1, \: 2) \\ 2 = ( - 3 \times 1) + c \\ c = 5 \\ substitute \: in \: y = mx + c \\ y = - 3x + 5\)

The correct properties of the normal curve are:

A. The high point is located at the value of the mean.

C. The area under the normal curve to the right of the mean is 1.

F. The graph of a normal curve is symmetric.

Analyzing each of the options we can see that:

The normal curve is symmetric, with the highest point (peak) located exactly at the mean.

It has a bell-shaped appearance.

The area under the entire normal curve is equal to 1, representing the total probability. The area under the normal curve to the right of the mean is 0.5, or 50% of the total area, as the curve is symmetric.

The normal curve is not skewed right; it maintains its symmetric shape. The value of the standard deviation does not determine the location of the high point of the curve.

Then the correct options are A, C, and F.

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The following are properties of the normal curve: A. The high point is located at the value of the mean, C. The total area under the normal curve is 1 (not just to the right), and F. The graph of a normal curve is symmetric.

Based on the options provided, the following statements are properties of the normal curve:

Other options do not correctly describe the properties of a normal curve. For instance, normal curves are not skewed right, the high point does not correspond to the standard deviation, and the area under the curve to the right of the mean is not 0.5.

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find the remainder term Rn for the nth order Taylor polynomial centered at a for a given function. The remainder term is given by:

Rn(x) = f(n+1)(c) / (n+1)! * (x-a)^(n+1)

where c is some value between x and a.

This formula tells us that the error between the actual value of the function and the nth order approximation is proportional to the (n+1)th derivative of the function evaluated at some point c between x and a, multiplied by (x-a)^(n+1) divided by (n+1)!.

In other words, the higher the (n+1)th derivative of the function is, the larger the remainder term will be. Additionally, the further away x is from a, the larger the remainder term will be.

It's worth noting that this formula assumes that the function is well-behaved and has enough continuous derivatives in the interval [a, x]. If the function is not well-behaved, or if it doesn't have enough continuous derivatives, then the Taylor series may not converge or may converge to something other than the original function.

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20.

\( \sqrt{ {(0 - 4)}^{2} + {(4 - 7)}^{2} } = 5\)

Answer:

8

Step-by-step explanation:

Answer:

the Square root is 7.7 which is rounded up to 8.

Step-by-step explanation:

Answer:

13 degrees.

Step-by-step explanation:

First we calculate the other 2 angles of the triangle of which < x is a part.

The bottom angle = 85 (vertical angles are equal).

The top one  = 180 - 98 = 82. ( corresponding and adjacent angles).

So angle x = 180 - (85 + 82).

= 180 - 167

= 13 degrees.

Answer:

does not clearly describe a word or phrase in a sentence

Step-by-step explanation:

Not sure that this is math but...

Answer:

The answer is B

Step-by-step explanation:

B) does not clearly describe a word or phrase in a sentence

Answer:

The right answer is Option D: \(y = -\frac{2}{3}x+\frac{3}{2}\)

Step-by-step explanation:

Given that initial value of 3/2 and rate of change is -2/3

The given functions can be observed and it can be concluded that the functions are in the form

\(y = mx+c\)

Here m is the slope which is also called rate of change and c is the y-intercept.

The y-intercept is the initial value when input is zero.

So we have to look for a function that has 3/2 in place of c and -2/3 in place of m.

From the given options,

\(y = -\frac{2}{3}x+\frac{3}{2}\) is the matching function

Hence,

The right answer is Option D: \(y = -\frac{2}{3}x+\frac{3}{2}\)

Answer:

The answer is A

Step-by-step explanation:

The answer is A, how I learned this was making sure that any combination of a and s would not spell out a bad word! With this in mind, we know that AS$ and SSA are not valid methods for proving triangles congruent!

Hope this helps!

(I had to use a $ symbol because there was an inappropriate word)

Answer:

Step-by-step explanation:

6/6 = 1 gallon

12/6 = 2 gallons

12/6 - 7/6 = 5/6

5/6 should be the answer

Answer:

60.6 cm

Step-by-step explanation:

The perimeter P is the sum of the 4 sides, that is

P = 14.8 + 12.5 + 16.3 + 17 = 60.6 cm

Answer:

Step-by-step explanation:

We can use the incenter to find the best location, because the point that is equidistant to all sides of a triangle is called the incenter.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

The incenter is equidistant from the sides of the triangle and the point that is equidistant to all sides of a triangle.

Hence, We can use the incenter to find the best location, to place a streetlight so it was equidistant from three sidewalks.

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Answer:

156

Step-by-step explanation:

1. cross multiply

2. Divide both sides

i hope i helped

Answer:

a) 180° - (55°+65°) = 180 - 120 = 60

again bc x and C both give 180° as a lying angle.

c= 60°.

x= 180 - 60 = 120°

x=120°

Step-by-step explanation:

b is the same.

Answer:

32/9

Step-by-step explanation:

(4/1) (9/8)=

32/9

Answer:

See below    ( MIGHT choose (-2,+2)  but it is incorrect)

Step-by-step explanation:

DOMAIN is the values of 'x' a function can have  

NONE of the answers are correct

  it should be   (-3,+3)   <=====not an option

The slope of a linear function is always the same thus the missing values are y₂ = 5 , y₃ = 8, and y₄ = 12.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given table,

Take (2,3) and (6,19)

Slope = (19 - 3)/(6 - 2) = 4

To maintain the same slope,

(y₂ - 3)/(3 - 2) = 4

y₂ = 5

(y₃ - 4)/(4 - 3) = 4

y₃ = 8

(y₄  - 8)/(5 - 4) = 4

y₄ = 12

Hence "The slope of a linear function is always the same thus the missing values are y₂ = 5, y₃ = 8, and y₄ = 12".

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The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values

The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.

In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).

The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.

This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.

The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.

These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.

By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.

Therefore, option (a) is correct.

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It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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Answer:

C = (0, 6)

E = (7, 0)

F = (0, -7)

Step-by-step explanation:

Answer: F is (0,-7)

C is (0,6)

E is (7,0)

Step-by-step explanation:

The natural logarithm function, ln(x), is only defined for positive values of x.

To clarify, let's consider the derivative formula for the natural logarithm of a function:
1. If we have y = ln(x), then the derivative dy/dx = 1/x.
2. If we have y = ln(g(x)), then the derivative dy/dx = g'(x)/g(x).
In both cases, x and g(x) must be positive for the natural logarithm to be defined. By using the absolute value, we ensure that the values of x or g(x) are always positive, which allows us to calculate the derivatives correctly.
1. Determine whether the derivative formula involves ln(x) or ln(g(x)).
2. If it involves ln(x), ensure x is positive by using the absolute value |x|.
3. If it involves ln(g(x)), ensure g(x) is positive by using the absolute value |g(x)|.
4. Apply the appropriate derivative formula (1/x for ln(x) or g'(x)/g(x) for ln(g(x))).
5. Ensure the result is accurate and applicable within the domain of the natural logarithm function.

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Answer:

24 oz

Step-by-step explanation:

16 oz to a pound

16 x 1.5 = 24 oz

Answer:

24 ounces

Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24

Answer:

x greather than equal to 48

Step-by-step explanation:

Look he needs AT LEAST $80. So the sign is greater than or equal to.

So the inequality is x+32 is greater than or equal to 80

x greater than or equal to 48

Answer:

18%

Step-by-step explanation:

total = 72 + 328 = 400

percent non-fiction = 72/400 × 100% = 18%

The area of the region bounded by the parabola y=2-x^2, and the lines x-y=0 and 2x-y=0 is 2.667 square units.


To find the area, we set up a double integral over the given region. The region is bounded by the curves y=2-x^2, x-y=0, and 2x-y=0. We need to determine the limits of integration for x and y. The parabola intersects the x-axis at x=-2 and x=2.

The line x-y=0 intersects the parabola at x=-1 and x=1. The line 2x-y=0 intersects the parabola at x=-√2 and x=√2. Therefore, the limits for x are -√2 to √2, and the limits for y are x-y to 2-x^2. Integrating the constant 1 over these limits, we obtain the area as approximately 2.667 square units.

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log 30+ log 6 is not equivalent to log 36

Equivalent expressions are expressions that perform the same function not with standing their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).

The original phrase is as follows

Log 36

Following that, we write the alternatives (a) log 2+ log 18

Apply the logarithmic rule log 2+ log 18 log (218)

Log 2 plus log 18 log (36)

Remove the bracket

Log 2 plus log 18 log36

(a) Log 2+ Log 18 is the same as log 36.

(b) Log 30 plus log 6

Use the logarithms’ law. 30 logs or more 6 logs (30 x 6)

Log 30 plus log 6 Equals log (180)

Remove the bracket

Log 30-plus log 6-log180

Hence,

(c) Log 30+log 6 does not equal log 36.

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Answer:

Step-by-step explanation;

3, 4, 5), while (m, n) = (5,2) gives the ... x 2 + 29x + 210 = (x + 15)(x + 14) and x2 + 29x - 210 = (x + 35)(x - 6)