What is the measure of GEF?
220°
120°
92°
260°

Answer:

Step-by-step explanation:

-11+?=15

?=15+11

15+11= 26

So, -11+26=15.

?-(-3)= 5

?+3=5

?=5-3

?=2

So, 2-(-3)=5.

?+(-4)=7

?-4=7

?=7+4

?=11

So, 11+(-4)=7.

?+-8=3

?=3+8

?=11

So, 11+-8=3.

-2+?=1

?=1+2

?=3

So, -2+3=1.

?-12=-4

?=-4+12

?=8

So, 8-12=-4.

Answer:

x is on the right side of the triangle

Step-by-step explanation:

Answer:

x = 28.8

Step-by-step explanation:

\(\frac{12}{25}\) = \(\frac{x}{60}\)

then cross multiply

25x = 720

then divide 25 from both sides of the equation

x = 28.8

Answer:

Step-by-step explanation:

Scale factor is the ratio of corresponding sides

Answer:

5/4

Step-by-step explanation:

7.5/6=1.25

15/12=1.25

10/8=1.25

1.25 is basically 5/4 in a fraction

So 5/4

Rememeber that the Scale factor is the ratio of correspondind sides

The reason grim say that max is lucky is that most people never have a good friend like Kevin.

Grim tells Max that he is fortunate to have had a good friend who helped him realize he was intelligent and improved his self-esteem. Max concurs that Grim should get a firearm. Grim admits that he may, but Gram won't be made aware of it. Grim is devastated by the idea because he would never lie to Gram.

Max assures him that he would keep Grim's identity a secret and that he will remain indoors for the upcoming days.

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The sixth decile for the given test scores is 82.

To find the sixth decile, we first need to find the corresponding percentile. The sixth decile represents the 60th percentile, meaning 60% of the data falls below this value.

First, we need to find the total number of data points:

n = 30

Next, we need to find the rank of the 60th percentile:

Rank = (60/100) * n

= 0.6 * 30

= 18

Now we need to find the corresponding value for the 18th rank. To do this, we need to sort the data in ascending order:

44 56 58 62 64 64 70 72 72 72 74 74 75 78 78 79 80 82 82 84 86 87 88 90 92 95 96 96 98 100

The value at the 18th rank is 82, which is the sixth decile for this dataset.

Therefore, the sixth decile for the given test scores is 82. Counting from the smallest value, we can see that the 18th value is 82.

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Here, we are given that icing covers the outlining of a circular cake, and given this we are asked to find how much icing is required to cover the whole top of the cake.

In mathematical terms, the outlining of a circle is known as the circumference and the space covering the surface of a circle is known as the area.

In other words, given the circumference of a circle we are asked to find the area.

The area of a circle is equal to πr² where r = radius.

In order to find the area we must have the length of the radius, which is not given. This means we must find it. To do so we can inversely solve for radius using the circumference formula.  

Here, the given circumference is 25.12 and Circumference = 2πr (where r = radius)

Finding the radius

C = 2πr

==> plug in C = 25.12

25.12 = 2πr

==> divide both sides by 2

12.56 = πr

==> divide both sides by π (3.14)

4 = r

So the radius of the circle is 4. We can now find the area.

Finding the area

Area of a circle = πr²

==> plug in r = 4

A = π(4)²

==> evaluate exponent

A = π(16)

==> simplify

A = 50.24

50.24 in² of icing is required to cover the entire top of the cake.

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If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Jennifer conducted a study involving 60 students to investigate the effects of a new drug on memory. After a period of three weeks, she compared the memory performance of students who received the drug with those who received a placebo.

Jennifer's study aimed to assess whether the newly invented drug had any impact on memory. To gather data, she selected a sample of 60 students and random assigned them into two groups: one receiving the drug and the other receiving a placebo. After three weeks, Jennifer assessed the memory performance of each participant.

By comparing the memory performance between the two groups, Jennifer could determine whether any differences existed. If the group receiving the drug demonstrated significantly better memory performance compared to the placebo group, it would suggest that the drug had a positive effect on memory. On the other hand, if there were no significant differences between the two groups, it would imply that the drug did not have a noticeable impact on memory.

Analyzing the data collected from the study, Jennifer could draw conclusions about the effectiveness of the new drug in enhancing memory. However, it's important to note that further analysis and replication of the study would be necessary to establish the drug's efficacy and ensure the reliability of the results.

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Answer:

In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.

Step-by-step explanation:

Answer:

0.3(14-1)+0.35 = 4.25

Step-by-step explanation:

Answer: 4.25 is the answer

Step-by-step explanation:  

0.3(14−1)+0.35

=(0.3)(13)+0.35

=3.9+0.35

=4.25

BRANILIIST PLS

The area of the Triangular pen is  roughly 118.99 square  bases.        

   The area of the triangular pen, we can use Heron's formula, which allows us to calculate the area grounded on the lengths of the sides of the triangle.  Heron's formula states that the area( A) of a triangle with side lengths a, b, and c is given by  A =  √( s( s- a)( s- b)( s- c))  where s is

the semiperimeter of the triangle, calculated as  s = ( a b c)/ 2  For the given side lengths of the triangular pen( 15 ft, 11 ft, and 9 ft), we can plug these values into Heron's formula to find the area.  s = ( 15 ft 11 ft 9 ft)/ 2 = 17.5 ft  Now, let's substitute the values into the formula  A =  √(17.5 ft *(17.5 ft- 15 ft) *(17.5 ft- 11 ft) *(17.5 ft- 9 ft))  

Simplifying the expression  A =  √(17.5 ft *2.5 ft *6.5 ft *8.5 ft)  A =  √(14137.5 ft ²)  A ≈118.99 ft ²  

thus, the area of the triangular pen is  roughly 118.99 square  bases.

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The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

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Answer:

6\(\sqrt{30}\)i

Step-by-step explanation:

120 = 2x2x2x3x5  I can pull out a set of 's

3x2 = 6

6\(\sqrt{2x3x5}\)

6\(\sqrt{30}\)

\(\sqrt{-1}\) = i

Answer:

B

Step-by-step explanation:

Here, we are to select the best option that defines the ratio given in the question;

From the question, we are told that the ratio of french fries to the number of side dishes ordered is 9:14

Since 9 represents the french fries, then the ratio representing water melon orders will be 14-9 = 5

Hence, the ratio of french fries orders to water melon orders will be 9:5

The correct option is thus;

There are 9 orders of french fries for every 5 orders of watermelon

Or

There are 5 orders of watermelon for every 9 orders of french fries

The point estimate for the population mean of mpg of a hybrid car is 28.

To determine the point estimate for the population mean of mpg (miles per gallon) of a hybrid car, we can take the midpoint of the confidence interval.

Given that the 95% confidence interval is (21, 35), the point estimate would be the average of the lower and upper bounds of the interval.

Therefore, the point estimate for the population mean of mpg of a hybrid car is 28.

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The point estimate for the mean mpg of hybrid cars is 30 mpg.

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this problem, we have that:

Lower bound: 21

Upper bound: 35

Point Estimate: (21+35)/2

= 56/2 = 28

Therefore, the point estimate for the mean mpg of hybrid cars is 28 mpg.

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The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.

To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.

Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.

The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.

Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.

For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.

Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.

Considering all the constraints, the possible combinations are:

- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.

- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.

- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.

- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.

Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.

Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.

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The expression for f(x) is: \(f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)\)

We know that for any polynomial equation with roots:

\(a_{1}, a_{2}, a_{3} ,...\)

with multiplicity:

\(m_{1}, m_{2}...\)

the equation for the polynomial is given by:

\(f(x)=(x-a_{1}) ^{m_{1} }, (x-a_{2}) ^{m_{2} }...\)

If the leading coefficient is negative we may take '-' sign in the starting of the expression.

Here we are given that, f(x) has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity  1, and root -5 with multiplicity 3

Hence, f(x) is given by:

= \(f(x)=(x-(-4)) ^{1 }, (x-2) ^{1}, (x-9) ^{1},(x-(-5)) ^{3}\)

= \(f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)\)

Hence, the expression for f(x) is: \(f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)\)

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The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

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Answer:

the given picture is not clear

Answer:

Step-by-step explanation:

First, you need to be familiar with the volume equation for the object in question.

The equation is \(v= (\frac{\pi r^2h}{2})\)

For the outer  shape we are given the diameter (which is just r*2), making the radius 8

For the the first object the equation becomes\(\frac{\pi(8^2)16}{2}\) which then comes out to 1608.49 which when rounded is 1608

Since we are to assume the shaded object is in the middle, we see that the distance from the shaded object to the other object is 4. So to find the radius of the shaded object we need to subtract 4 from the radius of the bigger object. The radius of the shaded object is 4

Using the same equation above we get that the volume is equal to \(\frac{\pi 4^{2}8 }{2}\) which comes to 201.06 which when rounded is 201

If you need the outer object without the volume of the inner object just subtract 201 from 1608

Answer:

Step-by-step explanation:

As per graph, using the points (-6, 0) and (0, 3) we determine that:

So the equation is:

Answer:

2

Step-by-step explanation:

figure 1 had 6

figure 2 had 10

figure 3 had 14

so 6-4=2

Is this the answer you were looking for?

√25=5 and −√25=−5 since 52=25 and (−5)2=25 . The principal square root of 25 is √25=5 .

I hope this helped. Comment if it did.

Answer:

n-3=12+3n-11

n-3=3n+1

-3-1=3n-n

-4=2n

n=-2

The correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9 is through multiplicative distributive property

We will calculate the value of x while showing the first step in solving the inequality, to provide better idea on complete solution. The correct first step is by using multiplicative distributive property as shown -

Rewriting the inequality -

–4(3 – 5x)≥ –6x + 9

Multiplying the values in each side of inequality

-12 + 20x ≥ -6x + 9

Rewriting the inequality according to terms

20x + 6x ≥ 9 + 12

Performing addition on each side of the equation

26x ≥ 21

So, x ≥ 21/26

Hence, the correct step is multiplicative distributive property.

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The complete question is -

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Answer:

53 mph

Step-by-step explanation:

Answer: She would be going 53 mph

Step-by-step explanation:

you take 265 and divide it by the 5 hours

leaving you with 53 mph

Answer:

Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.

y=5/4x+9/4

Step-by-step explanation:

Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.

To calculate the equation of the line, use the y=mx+b format.

Slope is equal to the change in y over the change in x , or rise over run.

m=(change in y)/(change in x)

The change in x

is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=(y2−y1)/(x2−x1)

Substitute in the values of x and y into the equation to find the slope.

m=1−(6)/−1−(3)

Finding the slope m.

m=5/4

Find the value of b

using the formula for the equation of a line.

b=9/4