Answers
g = number of goblins
w = number of wizards
There are 220 club members altogether, so
g + w = 220
There are 20% more goblins than wizards, so
g = 1.2 w
Substitute this into the first equation and solve for w, then for g.
1.2 w + w = 2.2 w = 220 ==> w = 100
g = 1.2 w ==> g = 120
Related Questions
Nine pamlets weigh a total of 7.5 ounces. How much does each pamlet weigh
Answers
Answer:
8.333333 each
Step-by-step explanation:
Answer:5/6 ounces
Step-by-step explanation:
9 pamlet weigh 7.5 ounces
Each pamlet weigh ______
Each pamlet weigh 7.5/9
Each pamlet weigh 5/6 ounces
Does it take more
inches or feet to equal a given
length? Explain.
Answers
A bag of colored marbles contains 16 blue marbles, 12 red marbles, and 8 yellow marbles.
What is the theoretical probability of drawing a red marble?
Enter your answer as a reduced fraction, like this: 3/14
Answers
Answer:
The theoretical probability of drawing a red marble is 1/3.
Step-by-step explanation:
1. Add all of the marbles together to get total marbles. 16 + 12 + 8 = 36.
2. Create a fraction, with numerator being favorable outcomes and denominator being total possible outcomes. In this case it would be 12/36.
3. Since it is asking for a reduced fraction, simplify 12/36 to 1/3.
What’s the correct answer for this?
Answers
Answer:
D.
Step-by-step explanation:
Rotation by 180 about O will map QSU onto itself.
Calculate the simple interest on a loan of $3500 for a period of 2 years at an annual rate of 5%.
Answers
Answer:
Monthly loan payment is $153.55 for 24 payments at 5%
Step-by-step explanation:
In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colleges were overweight. The definition of overweight is a body mass index (BMI) of over 25.
In 2019, a professor in public health at a major university wanted to determine whether that proportion had decreased since 2008. So, he sampled 800 randomly selected incoming male freshman at universities around the country. Using the BMI measurements, he found that 210 of them were overweight. Test the professor’s claim at an α = 0.05 level of significance, the proportion of obese male teenagers in American colleges decreased. Make sure that any necessary assumptions for conducting the hypothesis test are satisfied.
A) State the null and alternative hypothesis.
H0:
Ha:
B) Determine the critical value(s) for the test.
C) Compute the test statistic (show your work).
D) Make your decision.
E) State your conclusion in terms of the professor’s claim.
Answers
Answer:
a) H0 : u = 28.5%
H1 : u < 28.5%
b) critical value = - 1.645
c) test statistic Z= - 1.41
d) Fail to reject H0
e) There is not enough evidence to support the professor's claim.
Step-by-step explanation:
Given:
P = 28.5% ≈ 0.285
X = 210
n = 800
[tex] p' = \frac{X}{n} = \frac{210}{800} = 0.2625 [/tex]
Level of significance = 0.05
a) The null and alternative hypotheses are:
H0 : u = 28.5%
H1 : u < 28.5%
b) Given a 0.05 significance level.
This is a left tailed test.
The critical value =
[tex] -Z_0.05 = -1.645 [/tex]
The critical value = -1.645
c) Calculating the test statistic, we have:
[tex]Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}[/tex]
[tex]Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}[/tex]
Z = -1.41
d) Decision:
We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645
e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.
Classwork
Problem 1.
Gisele spent 7/10 of her money оn a book and 10/100 of her money on food. What fraction of her money
did she spend altogether?
Answers
Answer: It is 8/10 Because 7+1 equals 8/10 so 7/10+1/10 equals 8/10.
Sheila earns $8 per hour at her afterschool job. After working one week, she received a paycheck for $104. Write and solve an equation to find the number of hours Sheila worked. Fill in the blank with the solution only.
Answers
Answer:
13
Step-by-step explanation:
It should just be 104 divided by 8 which equals=13
Ana has a rectangular garden with a width of 2.3 meters and a length of 2.8 meters. She makes the model below to help her determine the area of her garden. What is the area of Ana's garden?
Answers
Answer:
6.44 m2
Step-by-step explanation:
Which equation represents the hyperbola shown in the
graph?
10
8
(x - 2)2
(y + 3)
25
(-2,5) 6
(-7,3)
(1-21)
4-12-10 -8 -6 4-2
(3,3)
(x + 2)2
(y = 3) = 1
4
2 4 6
(x + 2)2
25
(y - 3)2
4
1
(232) - (7,31 = 1
(x - 2)2
25
Answers
Answer:
Step-by-step explanation:
A general equation of a hyperbola is
x^2 y^2
-------- - ------- = 1 (This applies only when the center of the hyperbola
a^2 b^2 is at (0, 0) ).
You must compare the given equations to this standard form to identify which represents the hyperbola shown, and also you must share the illustration of the hyperbola.
The equation represents the hyperbola shown in the graph is (y - 1)² / 9 - (x + 4)² / 4 = 1
What is a hyperbola?A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
Given that, a graph, showing hyperbola, we need to find the equation,
We have the general equation for up - down facing hyperbola as
(y - k)² / b²- (x - h)² / a² = 1.
Let's start listing the properties of this graph -
Taking a look at the graph we see that the center point of our hyperbola here is (- 4, 1).
Therefore, (h, k) = (- 4,1).
This is the semi distance from the center to one of the vertices. Here it will be the distance from points (- 4,1) and (- 4,4) or 3 unit difference.
Therefore, a = 3.
That gives asymptotes. Now remember that it will be in the form
y = ± b / a.
We already know a = 3, so we have to find b.
Looking at this graph we can say that another point besides (- 4,1) that lies on the "dotted line" is (- 2, - 2).
Calculating the slope of the dotted line would be as follows,
Given: (- 4,1) and (- 2, - 2)
Slope = - 2 + 4 / - 2 - 1 = 2 / 3
We have the equation y = 2 / 3x.
Therefore, b = 2.
Let's substitute to equation...
h = - 4, k = 1, b = 2, a = 3
(y - 1)² / (3)²- (x + 4)² / (2)² = 1
(y - 1)² / 9 - (x + 4)² / 4 = 1
Hence, the equation represents the hyperbola shown in the graph is (y - 1)² / 9 - (x + 4)² / 4 = 1
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The complete question is attached
There are 14 math teachers and 26 science teachers at
school today. What is the ratio of math teachers to math
and science teachers at school?
Answers
Answer: 2.86
Step-by-step explanation:
14+26=40
40/14
Answer:
2.86
Step-by-step explanation:
€1.4 m
1.9 m
Tim has to cover 3 tanks completely with paint.
Each tank is in the shape of a cylinder with a top and a bottom.
The tank has a diameter of 1.4 metres and a height of 1.9 m.
A tin of paint covers 5 m
Find the total surface area of the 3 tanks and state how
many tins of paint Tim will need to buy
You must show your working
Total marks 5
Answers
Answer:
Step-by-step explanation:
Since each tank is cylindrical, we would apply the formula for determining the total surface area of a cylinder which is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the height of the cylinder.
h represents the height of the cylinder.
π = 3.14
From the information given,
Height = 1.9
Diameter = 1.4
Radius = diameter/2 = 1.4/2 = 0.7
Total surface area = 2 × 3.14 × 0.7² + 2 × 3.14 × 0.7 × 1.9 = 3.0772 + 8.3524 = 11.4296 m²
Total surface area of the 3 cylinders = 11.4296 × 3 = 34.29 m²
Since a tin of paint covers 5 m², the number of tins paints that Tim will need to buy is
34.29/5 = 6.858
Since the tins of paint must be whole numbers, he needs to buy 7 tins of paints.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answers
Answer:
A) 26
E) 12
Step-by-step explanation:
11x ≥ 132
x ≥ 12
The solution set would include numbers greater than or equal to 12
Complete 8,9 for 5-8 points.
Answers
Step-by-step explanation:
8. Let's call the number x. We can set up the equation -3x - 5 = -10. Adding 5 to both sides, we have -3x = -5, and when we divide both sides by -3, we have x = 5/3.
9. Again, we'll call the number x. The equation is 2x - 3 = -13. We can write -3 instead of +(-3) because adding a negative number is the same as subtracting. Adding 3 to both sides, we have 2x = -10, and dividing bu -2, we have x = -5. Hope this helps!
To start a board game, the player who rolls two sixes gets To go first.What is the probability that a player will roll two number cubes and get two sixes
Answers
Answer:
1/36
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
There is a 1/36 or a ~2.8% chance that a player will roll two sixes. Because the dice is cubed, the player will have a 1/6 probability of rolling a six one time. Because the player needs to get six 2 times in a row, you would simply need to multiply 1/6 by itself twice(1/6•1/6 or 1/6^2) which equals 1/36.
What is the right answer!???????
Answers
Answer:
dont know need points
Step-by-step explanation:
Answer:
What points are needed?
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π)
Answers
Answer:6908 (miles) ^2
Step-by-step explanation:
diameter=2200 miles
π=3.14
Circumference=π x diameter
Circumference=3.14 x 2200
Circumference=6908 (miles)^2
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
so your answer is B.
Which number line represents the solution set for the inequality 2x24?
+
-10
-8
-6
4
- 2
0
2
4
6
8
10
+
+
+
+
+
-4
-10
-8
-6
-2
0
+
6
+
10
2
4
8
+
+
-10
-8
--6
-4
O
-2
2
4
6
8
10
-10
-8
--6
-4
-2
0
2
4
6
8
10
Answers
Answer:
the answer is what I think 46
The solution of the inequality - 1/2x ≥ 4 is shown in Option 2.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Inequality is,
⇒ - 1/2x ≥ 4
Now, We can simplify as;
⇒ - 1/2x ≥ 4
⇒ 1/2x ≤ - 4
⇒ x ≤ - 8
When we plot this inequality on a number line,
An arrow starting with a solid point from x = -8 and arrow directing towards negative numbers will represent the given inequality.
Hence, Option (2) will be the answer.
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Two squares are similar. The first square has sides that measure 4 inches, and the second squares has sides that measure 12 inches. The scar factor used to get from the first square to the second one is
Answers
Answer:
3
Step-by-step explanation:
Well, first off I'm assuming that by "scar factor" you mean scale factor. So if the two squares are similar then that means the sides are also similar, that means that they are equivalent. So all you have to do is 12/4 to get 3. So then to check it, you do 4 times 3 which gets you to 12.
So the final answer is 3
Help !!! I got -15 & it’s wrong !
Answers
Answer:
-11
Step-by-step explanation:
I substitute x in ( put parenthesis around x so it makes it clear)
-9-6-18+9+4+9
simplify
-33+22
-11
Answer: -11
Step-by-step explanation:
That polynomial simplifies to -2x^2-x+4
If we plug in -3 for x, we get -2(-3)^2-(-3)+4 and thats -11
Please help me please
67). Inez walked in the treadmill for 7/10hr and had stopped for 1/2hr. How much time he was actually working out?________________________________________________________
69).During a 12- hour period, the temperature dropped 48 °, how many degrees did the temperature dropped each hour?_____________________________________________
70). The elevation of Turpan Pendi in China is -185 meters. The elevation of the Qattara Depression in Egypt is -163 meters. Compare the two elevations using < or >.______________
Answers
Answer:
Step-by-step explanation:
Hello!
Inez walked in the treadmill for 7/10hr and had stopped for 1/2hr. How much time he was actually working out?
Time in the treadmill is [tex]\frac{7}{10}[/tex] hr
1 hour is the whole, you can express it as [tex]\frac{10}{10}[/tex].
If you express it in minutes then [tex]\frac{10}{10} = 60min[/tex], then [tex]\frac{1}{10} = \frac{60}{10}= 6 min[/tex]
Now you can calculate the amount of time he was on the treadmill:
[tex]\frac{7}{10}= 7*6= 42 min[/tex]
Time he had stopped
[tex]\frac{1}{2}= 30min[/tex]
Between the time he was on the treadmill and the time he rested, he worked out for 42 + 30= 72 min = 1 hour and 12 minutes.
During a 12- hour period, the temperature dropped 48 °C how many degrees did the temperature dropped each hour?
You can use cross multiplication to calculate how many degrees per hour the temperature decreased:
If in 12 hrs it decreased 48ºC
Then in 1 hr it decreased [tex]\frac{1*48}{12} = \\[/tex] 4ºC
The elevation of Turpan Pendi in China is -185 meters. The elevation of the Qattara Depression in Egypt is -163 meters. Compare the two elevations using < or >.______________
To easily determine which elevation is higher than the other you have to order them from least to greatest in a number line. These measurements are negative, which means that, the "higher" the module is, the less in the number line the negative value will be:
----|---------------------------------------|--------------------------------|--
-185 -163 0
(The line is not on scale)
Using < or >, you can say that -163 meters > -185 meters.
I hope this helps!
I need help with these slope problems
Answers
Answer:
1. y=-2x+b
2. y=-2.5x+5
Step-by-step explanation:
Suppose we want to explore if there is significant evidence of difference among Category A, B, and C in the proportion of Level 1 for certain characteristic.
A B C Total
Level 1 50 90 225 365
Level 2 150 210 275 635
Total 200 300 500 1000
At significant level 0.05, test the equality of proportion of Level 1 for category A, B and C. If needed, perform the Marascuilo procedure for pairwise comparisons. Show your work.
Answers
Answer:
Kindly check explanation (since we need to show how the work is done) but what can be noticed is that there is a proportional difference between the 3.
Step-by-step explanation:
Know that Vo :ht = 1//3, where t = 1,2,3.
(1). The expected values for levels A, B and C = 0.33 which is a total of 100%.
The observed values = 50, 90, and 225 with a total of 365.
The expected values = 121.67 for the three categories which gives us a total of 365.
For the three categories, the differences between the observed values and the expected values are -71.67, -31.67 and 103.33.
(2). Thus, the value for the test statistics is = (observed values - expected values)^2/ expected values.
So, for the three categories (A,B and C) we have; 42.217, 8.244 and 87.754. The total = 138.215.
Therefore the critical value = 5.991.
(3). We have to reject the null hypothesis Because 138.215 is greater than 5.991.
(4). For Marascuilo, we have;
Proportion
Group 1 - group 2 = 0.05(absolute difference) and 0.099050609( critical range) which is insignificant.
Group 1 - group 3 = 0.2( absolute difference) and 0.092643256(critical range) which is significant.
Group 2 - group 3 = 0.15(absolute difference) and 0.084615602(critical range) which is also significant.
ivana has 5.50 luc has 1.4 times as much as ivana, how many indian rupees would ivana get if the value of rupees are 61.92 per dollar rate
Answers
help me plss to find the area
Answers
Answer:
A=88 square units
Step-by-step explanation:
A=B x H
A= 11 x 8
A=88 square units
Talia is going to put a new carpet in her house. She measure's one side of her living room and finds it measures 17 meters which measurement does 17 meters represent
Answers
The answer in length
The length is used to measure the distance between to end points or edges. so 17 meters measurement represent the length.
What is perimeter?Its the sum of length of the sides used to made the given figure.
Talia is going to put a new carpet in her house. She measure's one side of her living room and finds it measures 17 meters.
Area is what is on the inside.
The perimeter is the outside of the hole thing.
Hence, the length is used to measure the distance between to end points or edges.
so 17 meters measurement represent the length.
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The decimal 0.016 is equivalent to what percent?
Answers
Answer:
the answer is 1.6%
Step-by-step explanation:
0.016 × 100/100 =
0.016 × 100% =
(0.016 × 100)% =
1.6%
hope this helps : )
Answer:
[tex]1.6\%[/tex]
Step-by-step explanation:
[tex]0.016 = \frac{16}{1000} [/tex]
let's write this fraction as a percentage
[tex] \frac{16}{1000} \times 100\% \\ = 1.6\%[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If a 3 ft tall globe casts a 1 ft long shadow, then how tall is an adult giraffe that casts a 6 ft shadow?
Answers
Answer:
it has to be 18
Step-by-step explanation:
because 3 to 1 so 6 just multiply 3 by 6
Given: m = 1/2 and b = 4
The slope and y-intercept for a linear equation are given. Which graph matches this information?
Answers
Answer:
Graph C
Step-by-step explanation:
This graph had a slope of 1/2 and a y-intercept of 4.
If this answer is correct, please make me Brainliest!
The system of equations y = 2 x minus 1 and y = negative one-fourth x + 3 is shown on the graph below.
On a coordinate plane, 2 lines intersect around (1.8, 2.6).
What is a reasonable estimate for the solution?
(1 and three-fourths, 2 and one-half)
(2 and one-half, 1 and three-fourths)
(1 and one-third, 2 and one-half)
(2 and one-half, 1 and one-third)
Answers
Answer:
(1 3/4, 2 1/2)
Step-by-step explanation:
The point of intersection is an "ordered pair." That means the order of the two numbers is important. The first number means something different than the second number.
So, if you want a reasonable estimate for (1.8, 2.6), you need to have the first number in the estimate be close to 1.8. The offered choices are ...
1 3/4 = 1.75
2 1/2 = 2.5
1 1/3 ≈ 1.33
The closest of these to 1.8 is 1.75, so the first choice is the best choice so far.
__
The second number of the estimate needs to be close to 2.6. The offered choices are ...
2 1/2 = 2.5
1 3/4 = 1.75
1 1/3 = 1.33
The closest of these to 2.6 is 2.5, so the first choice is still the best choice.
A reasonable estimate is (1 3/4, 2 1/2).
Answer:
A: (1 3/4, 2 1/2)
Step-by-step explanation:
