Tareq is 7 years old and his older sister Fatma is 10. Tareq challenges his sister to a pizza eating contest. They each make an identical extra extra large pizza. Tareq eats 2/8 of his pizza. His sister Fatma eats 3/4 of her pizza. Who ate more pizza and how do you know?

Answer:

Step-by-step explanation:

A

The inverse function, given the function f(x) = 5(x+4) - 6, can be found to be A. 1.

First, we need to find the inverse function of f(x). To do this, we'll switch the roles of x and y (we'll use y to represent f(x)) and then solve for y.

Given the function f(x) = 5(x + 4) - 6, let's replace f(x) with y:

y = 5(x + 4) - 6

x = 5(y + 4) - 6

x = 5y + 20 - 6

x = 5y + 14

x - 14 = 5y

y = (x - 14) / 5

Now we have the inverse function, f^(-1)(x) = (x - 14) / 5. To find the value of the inverse function when x = 19, plug in 19 for x:

f^(-1)(19) = (19 - 14) / 5

f^(-1)(19) = 5 / 5

f^(-1)(19) = 1

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Answer:

Answer: OD 81007 in.2

Step-by-step explanation:

Use formula for area of circle, which is A = πr²

The radius is squared, so if the radius or a new circle is 6 times larger (multiplied by 6), the difference in area will be 36 times greater.  So the area is

225π(36) = 8,100π

Answer:

D) \(8100\pi\) in²

Step-by-step explanation:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Question:

A circle has an area of 225\(\pi\) square inches.  If the radius of the circle is multiplied by 6, then what is the area of the new circle?

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

area of a circle = \(\pi r^2\)   (where r is the radius)

⇒ \(\pi r^2=225\pi\) in²

If the radius is multiplied by 6, then r = 6r

⇒ area = \(\pi (6r)^2=36\pi r^2\)

Therefore, if \(\pi r^2=225\pi\)

then \(36\pi r^2 = 36 \times 225\pi =8100\pi\)

The values which satisfy the given equation 2/3×(p-q)=1 is given by option b.  p= 5/2 , q= 1.

Equation is equal to,

2/3×(p-q)=1

Simplifying the equation multiply both the sides by 3/2we get,

2/3 × (p-q) = 1

⇒2/3 × (p-q) × 3/2 = 1 × 3/2

⇒ (p-q) = 3/2

Now check all the values of p and q which satisfy this equation,

p = 3/2, q = 1

⇒ (p-q) = (3/2 - 1)

⇒ (p-q) = 1/2

It is not equal to 3/2,

So option a) is not a solution.

p = 5/2, q = 1

⇒ (p-q) = (5/2 - 1)

⇒ (p-q) = 3/2

It is equals to 3/2.

So option b) is a solution.

p = 3/2, q = 5/2

⇒ (p-q) = (3/2 - 5/2)

⇒ (p-q)  = -1

It is not equal to 3/2,

So option c) is not a solution.

p = 1, q = 1/2

⇒(p-q) = (1 - 1/2)

⇒(p-q) = 1/2

It is not equal to 3/2,

So option d) is not a solution.

Therefore, the only values that satisfies the equation 2/3 × (p-q) = 1 is option b) p= 5/2 , q= 1.

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The above question is incomplete , the complete question is:

Consider the equation 2/3 × (p-q) = 1. Which of these can be the values of p and q?

a) p = 3/2, q= 1

b) p= 5/2 , q= 1

c) p= 3/2 , q= 5/2

d) p= 1, q= 1/2

a. Using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped).

a. Using the Empirical Rule, we can determine the range within which 95% of NBA point guards' heights would fall. According to the Empirical Rule, for a normally distributed data set:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

Since the average height of NBA point guards is 74.6 inches with a standard deviation of 3.71 inches, we can use this information to calculate the range:

Mean ± (2 * Standard Deviation)

74.6 ± (2 * 3.71)

The lower bound of the range would be:

74.6 - (2 * 3.71) = 74.6 - 7.42 = 67.18 inches

The upper bound of the range would be:

74.6 + (2 * 3.71) = 74.6 + 7.42 = 82.02 inches

Therefore, using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped). This means that the data is symmetrically distributed around the mean, with the majority of values clustering near the mean and fewer values appearing further away from the mean.

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Answer:

c

Step-by-step explanation:

trust it is

Answer:

D. (Y+w)(z+x)

Solution for all options

A= yx-yz-wx-wz

B= xz-xy-wz-wy

C= xz+xw+yz+yw

D= yx+yz+xw+zw

Answer:

The slope would be 2

Step-by-step explanation:

Your slope-intercept form is always y=mx + b

The b is always your constant

The mx is your slope

The y is your output

Answer: Slope: 2 & Y-int: -6.

Step-by-step explanation:

I will try to explain it in my own simple way for you to understand, however, I may be wrong.

The form, y=mx+b, think of f(t) as y, the 2t as m, the t as x, and the -6 as the y-intercept. Since the -6 is the opposite of +b, in the y=mx+b, it would be -6.

Hope this helped.

We can use the distance formula to find the distance between two points in a coordinate plane:

d = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.

Using the given coordinates of the two points, we have:

x1 = -2, y1 = 7

x2 = -5, y2 = 9

Substituting these values into the distance formula, we get:

d = √[(-5 - (-2))² + (9 - 7)²]

d = √[(-3)² + 2²]

d = √(9 + 4)

d = √13

Therefore, the distance between the points (-2, 7) and (-5, 9) is approximately √13 units. We can also approximate this value as 3.61 units (rounded to two decimal places).

Answer:

POSITIVE

Step-by-step explanation:

GOT THAT TEST WHEN I WAS 14

If you are 25 years of age, your typing speed is equal to 82.8 units.

In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, we can logically deduce that an equation which represents the line of best fit include the following:

y = -1.4x + 117.8

When you are 25 years of age, your typing speed can be calculated as follows;

y = -1.4x + 117.8

y = -1.4(25) + 117.8

y = -35 + 117.8

y = 82.8 units.

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Answer:

im pretty sure its d

Step-by-step explanation:

Answer:

D would be the correct answer.

have a blessed day

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

i show the explanation in picture

Distance is increasing with a speed of 0.2 Miles/Min

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

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

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The examples that describe some of the applications of geometry in aeronautics are:

A. designing a new aircraft

B. describing the flight path between take off and landing

D. navigating between two locations

Aeronautics is a field that deals with designing, functioning and uses of aircraft in air transportation system which include aeroplanes, helicopters, jets etc.

Geometry is a topic that deals with lines, angles, planes, coordinates, points etc, thus its importance to aeronautics. Thus, its various applications as this field is concerned can not be over-emphasized.

In the giving question, the examples that best describe how geometry can be use in aeronautics are:

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Step-by-step explanation:

Answer:

the five is not is left in the diagram

The answer is X>-2. I uploaded a picture of the steps below. Hope this helps. :)

Answer: The probability is 50%.

Step-by-step explanation: The probability that both are girls if the older child is a girl can be calculated through probability. First, we know that there are two genders the child can be, male or female. When we have 2 possible outcomes, the probability of each outcome is 50%. We know the first child is a girl, and that the second child has a 50% chance of being a girl, so the probability is 50%.

The answer is (B) (31.56, 38.44) which means we are 95% confident that the true population mean lies between 31.56 and 38.44.

The 95% confidence interval for the population mean, µ, is given by:

CI =  ± tα/2 * (s/√n)

where  is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom at the α/2 level of significance.

Here,  = 35, s = 9.38, and n = 22. From the t-distribution table with (n-1) = 21 degrees of freedom and a 95% confidence level, we have tα/2 = 2.08.

Plugging in the values, we get:

CI = 35 ± 2.08 * (9.38/√22)

= (31.56, 38.44)

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Answer:

Hello again!  The answer to this one is C

Step-by-step explanation:

As I said before, a fraction is out of 100, like a percent.  Divide 100 by the denominator (in this case, 4).  This gives you 75%.  However, to convert this into a decimal, we need to multiply it by 0.01.  This gives you 0.75.

Answer:

.75

Step-by-step explanation:

there are more that one way to represent numbers..

Roman numerals are quite obsolete, but fractions, decimals and percent's

are the ones that you mainly learn about in a math class...

numbers of one type can be converted to any other...

in this case you want to convert a FRACTION 3/4 to change to a DECIMAL version.... NOTE: at the end I will also show the PERCENT VERSION...

the fraction to decimal conversion is done by "LONG DIVISION"

   __.75__

4 | 3.0

    2.8

    -----

       20

       20

        ---

        0

Note  as a percent it is 75%

Answer:

the slope is -4/5 and the y-intercept is 0

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

Answer:

3:2 , 18:12 , 27:18

Step-by-step explanation:

There are endless ratios that are equal to 9:6.

Such as 3:2 , 18:12 , and 27:18.

To find equivalent ratios, simply divide or multiply the two numbers in the ratio by the same number.

For example, the ratio is 9:6.

9/3 = 3

And, 6/3 =2

So therefore an equivalent ratio is 3:2.

Answer:

P=a+b+c

=42+17+62

=121

P=42+b+c

P=42+17+c & same as p=59+c

P=42+17+62 & same as p=121

Based on the given data from the crossover trial comparing two pain relievers (drugs A and B), we can conclude that there is evidence to suggest that the mean pain level is higher with drug B.

The appropriate null and alternate hypotheses are:

Null hypothesis (H0): μ1 = μ2 (There is no difference in the mean pain level between drug A and drug B)

Alternate hypothesis (H1): μ1 < μ2 (The mean pain level is higher with drug B)

To compute the P-value using the TI-84 Plus calculator, we need to perform a paired t-test on the data. By calculating the t-statistic for the paired differences and degrees of freedom, we can obtain the P-value associated with the observed difference. Using the P-value method, the obtained P-value is compared to the significance level (α = 0.10) to make a decision.

If the computed P-value is less than the significance level (0.10), we reject the null hypothesis. This indicates that there is sufficient evidence to support the alternative hypothesis, suggesting that the mean pain level is indeed higher with drug B.

Based on the results of the analysis, we can conclude that there is evidence to suggest that the mean pain level is more with drug B compared to drug A. However, it's important to note that this conclusion is based on the given data and the assumptions made during the analysis. Further studies with larger sample sizes and rigorous experimental designs may be needed to confirm these findings.

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The roots of the function f ( x ) are x = 1 and x = 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁴ - 13x³ + 38x² - 23x - 3

On simplifying , we get

The possible factors of the constant term (-3) are ±1 and ±3, while the possible factors of the leading coefficient (1) are ±1.

Now, we can test these factors by substituting them into the function and checking if the result is zero:

f(1) = (1)⁴ - 13(1)³ + 38(1)² - 23(1) - 3 = 1 - 13 + 38 - 23 - 3 = 0

f(-1) = (-1)⁴ - 13(-1)³ + 38(-1)² - 23(-1) - 3 = 1 + 13 + 38 + 23 - 3 = 72

f(3) = (3)⁴ - 13(3)³ + 38(3)² - 23(3) - 3 = 81 - 351 + 342 - 69 - 3 = 0

f(-3) = (-3)⁴ - 13(-3)³ + 38(-3)² - 23(-3) - 3 = 81 + 351 + 342 + 69 - 3 = 840

From the above calculations, we can see that f(1) = f(3) = 0. This means that x = 1 and x = 3 are roots of the polynomial function

Hence , the function is solved and x = 1 and x = 3

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Answer:

yes your answer is 45 degree

Answer:

105°

Step-by-step explanation:

There 360° in a circle, so...

360°-150°-105°=105°

check: 150°+105°+105°= 360°

[Answer] 105°

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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Answer:

y = -2/3x + 3

Step-by-step explanation:

First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:

(y₂ - y₁) / (x₂ - x₁)

If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3

Next, we can substitute in values in the equation above to get (1 -5)/(3+3)

** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**

Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3

After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).

Therefore, if we put the above information into slope-intercept form:

y = mx + b --> m = -2/3; b = 3

y = -2/3x + 3

Though I don't think that answer choice is there...

The given expression is equivalent to the third option -19.5b - 6.9. We get this on solving the algebraic expression.

The given expression in the question is

3(-4.5b-2.1) - (6b +0.6)

= -13.5b - 6.3 - 6b - 0.6         (multiplying 3 and -1 respectively with the elements in the bracket)

= -19.5b - 6.9

Therefore we can see that on solving the given algebraic expression we get that it is equivalent to -19.5b - 6.9

Hence the third option which is -19.5b -6.9 is the correct answer.

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Answer:

Step-by-step explanation:

what?

Answer:

22 miles

Step-by-step explanation:

trust