The definition of an angle uses the undefined term

The inequality 5 + 7l ≤ 60 represents the scenario where a student has a 60-minute free trial of a game that requires 5 minutes to set up and 7 minutes to play each level, where 'l' denotes the number of levels the student can play.

The subject of this question is about setting up an inequality to represent a scenario. The student has a 60-minute free trial of a game and it takes 5 minutes to set up the game and another 7 minutes to play each level. Let's denote 'l' as the number of levels the student can play. The total time spent both setting and playing the game cannot exceed 60 minutes. Therefore, the inequality to determine the maximum number of levels the student can play would be: 5 + 7l ≤ 60.

To explain this further, the '5' is the time spent setting up the game and '7l' is the total time spent playing the levels. As we want to find out the maximum number of levels that can be played within a constraint of 60 minutes, thus we use the less than or equal to symbol ('≤').

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The first error Emi made was dividing by N - 1 instead of N when computing the population variance.

The first error in computing the variance is Emi divided by N - 1 instead of N. In Emi's calculations for the data set, which includes the numbers 87, 46, 90, 78, and 89, the correct method should be to divide by N, because she is dealing with a population data set, not a sample.

For the population variance, we divide the sum of squared differences from the mean by the total number of data points in the population, which is N. However, Emi incorrectly divided by N - 1, which would only be correct if she were calculating the sample variance to estimate the population variance based on a subset of the population data.

Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?

Solution:

Julie studied for 3 [tex]\frac{1}{3}[/tex] hrs in 4 days

Let us first find how many minutes Julie studied in 4 days

In 1 hour, there are 60 minutes

Julie studied for 3 complete hours and one-third of the hour.

So, Number of minutes in 3 hours is 3*60=180hrs

and, Number of minutes in one-third of an hour=[tex]\frac{1}{3} *60[/tex]

=[tex]\frac{60}{3}[/tex]=20minutes

So, time spent by Julie in studying in 4 days is 3[tex]\frac{1}{3}[/tex] hours

or, Julie studied for 180+20 minutes in 4 days

Adding 180 and 20

Julie studied for 200 minutes during the 4 days

To find time she spend studying each day, we must divide total time spent in studies by number of days

Time she spend studying each day= [tex]\frac{200}{4}[/tex] minutes

Dividing 200 by 4, we get

Time she spend studying each day=50 minutes

Answer:

time she spend studying each day=50 minutes

Answer:

Option D [tex]\$50+\$31.5x[/tex]

Step-by-step explanation:

Let

x------> the number of days

y----> the cost of renting a car

we know that

For [tex]x<7\ days[/tex]

[tex]y=\$50+\$35x[/tex]

For [tex]x\geq 7\ days[/tex]

The rate is equal to

[tex]0.90*\$35=\$31.5[/tex]

so

[tex]y=\$50+\$31.5x[/tex]

In this problem. the car has been rented for more than a week

therefore

[tex]x> 7\ days[/tex]

The cost of renting a car is equal to

[tex]y=\$50+\$31.5x[/tex]

Answer:

Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent

Step-by-step explanation:

Answer with explanation:

The Description about the Histogram is

Vertical Axis = 0-14

Horizontal Axis      Bar Height

0-49                            2

50-99                            6

100-149                         12

150-199                            5

200-249                          1

Plotting the Histogram

→Class interval 150-199 has frequency =5, and class interval 50-99, has frequency equal to 6.

→The curve is not uniform on both sides.

→The interval in which mean , median lies has 6+2=8 frequency on the left of that interval , and 5+1=6, values on the right of class interval [100-149].We can conclude that,the histogram is left Skewed.

→But when we join ,mid points of histogram,the curve obtained resembles with a normal distribution curve called bell curve.It is not exactly bell shaped,as not uniform on both sides explained above.

Option C: Approximately bell Shaped

There are 6 ways the bags can be arranged.

The number of ways the bags can be arranged is equal to the number of permutations of the bags. In this case, Julia has 3 handbags in her closet, so we need to find the number of permutations of 3 objects taken from a set of 3. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects being selected.

Plugging in the values, we get 3P3 = 3! / (3-3)! = 3! / 0! = 3 x 2 x 1 / 1 = 6.

Therefore, there are 6 ways the bags can be arranged.

The number of ways to arrange 3 handbags is 6.

The arrangement of objects where the order matters is a permutation problem. To find the number of permutations of n distinct objects, one uses the factorial of n, denoted as n!. The factorial of a non-negative integer n is the product of all positive integers less than or equal to n.

In this case, Julia has 3 handbags, so n = 3. We want to find the number of permutations of these 3 handbags, which is given by 3!.

Calculating 3!:

3! = 3 × 2 × 1 = 6

Therefore, there are 6 different ways to arrange the 3 handbags in Julia's closet.

Answer=(4,5)

Step-by-step explanation:

Answer:

Temperature in celcius scale to the nearest degree = 64

Step-by-step explanation:

Temperature in celcius scale = 18° C

We have the formula

[tex]C=\frac{5}{9}(F-32)[/tex]

Substituting value in celcius scale.

[tex]18=\frac{5}{9}(F-32)\\\\F=64.4^OC[/tex]

Temperature in celcius scale to the nearest degree = 64

Answer:

Option C. [tex]7.\frac{\sqrt{74}}{74}[/tex]

Step-by-step explanation:

At the end of one swipe the tip of one blade is at (-5, 7). We have to find sine value of this function.

As shown in the figure coordinates of the tip of the wiper blade are (-5, 7)

So [tex]sin a = \frac{Height}{Hypotenuse}[/tex]

Here Height of the triangle = 7

and Hypotenuse = x = [tex]\sqrt{(-5)^{2}+7^{2}}=\sqrt{25+49}=\sqrt{74}[/tex]

By putting these values in the expression

[tex]sina=\frac{7}{x}=\frac{7}{\sqrt{74}}=7.\frac{\sqrt{74}}{74}[/tex]

Answer is option C.[tex]7.\frac{\sqrt{74}}{74}[/tex]

To compare the maximum values of function, which is a discrete function with given values, we find that C ) It is 3 units lower for f ( x ) than g ( x )

To compare the maximum values of functions f(x) and g(x), we first analyze each function separately. The quadratic function f(x) = -4x2 + 5x has a vertex form which reveals its maximum value at x = 1/3, and since g(x) is a discrete function defined by its values at certain points, we look directly at the given values to find its maximum.

Function g(x) reaches its maximum at g(2) = 8. Comparing this to f(x), whose vertex form shows that its maximum is f(1/3), we need to compute f(1/3) = -4(1/3)2 + 5(1/3) to find its specific value. After calculation, f(1/3) is found to be higher than 8, which is the maximum of g(x).

Thus,

g ( x ) maximum value = 8

f ( x ) maximum value = 5

g ( x ) max - f ( x ) max = 8 - 5 = 3

Complete Question:

Functions f(x) and g(x) are described as follows:

f(x) = -4x2 + 5

x g(x)

0 0

1 4

2 8

3 4

4 0

Which statement best compares the maximum value of the two functions? A. It is equal for both functions. B. It is 3 units higher for f(x) than g(x). C. It is 3 units lower for f(x) than g(x). D. It is 4 units lower for f(x) than g(x).