Answer:
940
Step-by-step explanation:
so the cheapest table is the rectangular table coming at around $4.6 per person while the 10 person table comes at $5.2 per person.
That being said we can only have 15 rectangular tables so thats a total of 150 people at a total of $420. We still need 100 more people so we would need 10 round tables so 52 * 10 = 520 and plus our previous total 420 + 520 our total comes down to 940.
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PLEASE HELP!
Suppose there is a strong positive correlation between mand n. Which of the
following must be true?
A. An increase in m causes n to increase.
B. When m increases, n tends to decrease.
C. When m increases, n tends to increase.
D. An increase in m causes n to decrease.
Answer:
A an increase in m cause n to increase
Step-by-step explanation:
a positive correlation means they will travel in the same direction when one is affected.
Answer:
Option A: An increase in m causes n to increase.
Step-by-step explanation:
A Positive correlation is a relationship between two variables in which both variables move with the same ratio. A positive correlation exists when one variable increases as the other variable increases, or vice-versa.
A perfect positive correlation means that both variables move by the exact same percentage.
Therefore, if there is a strong positive correlation between m and n then V increases and, w tends to increase.
Hope this helped :)
IF D and G are the number of degrees and grades of the same angle, prove that G/10=D/9.
Answer:
see explanation
Step-by-step explanation:
The relationship between D and G is
90D = 100G
that is there are 100 grades in 90°
Given any angle in degrees (D)
Divide by 90 to find how many right angles
Then multiply by 100 to convert to grades , so
G = [tex]\frac{D}{90}[/tex] × 100 = [tex]\frac{10}{9}[/tex] D ( multiply both sides by 9 to clear the fraction )
9G = 10D ( divide both sides by 10 )
[tex]\frac{9G}{10}[/tex] = D ( divide both sides by 9 )
[tex]\frac{G}{10}[/tex] = [tex]\frac{D}{9}[/tex]
A certain family has a husband, wife, son, and daughter. All together they are 68 years old. The husband is 3 years older than the wife, and the son is 3 years older than the daughter. Four years ago, all together the family was 54 years old. How old is the husband now?
Answer:
32
Step-by-step explanation:
Everyone added together = 68
Four years ago, they were 68 -16 = 52
But the question told 54 years.
So there was a girl who was 2 years.
Girl = 2
Boy = 2 +3 = 5
Husband = 3 +w
Wife =w
3 +w +w + 5 + 2 = 68
10 + 2w = 68
2w = 58
w = 29
Wife = 29
Husband = 29 +3 =32
Husband = 32 years
Answer:
[tex]\large \boxed{\sf \bf \ \ 32 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
We know that "All together they are 68 years old." and "Four years ago, all together the family was 54 years old."
If all the family was alive four years ago, it means that four years ago the sum of their ages was 68 - 4 - 4 - 4 - 4 because they are four members, so it gives 68 - 16 =52 which is different from 54, right ?
It means that we have the daughter in between, 54- 52 = 2, so the daughter's age is 2, and then the son's age is 5.
The husband is 3 years older than the wife. Let's note W the wife's age, we can write W + 3 + W + 5 + 2 = 68
2 W + 10 = 68
2 W = 68 - 10 = 58 so W = 29
and then the husband's age is 29 + 3 = 32.
And we can verify that 32 + 29 + 5 + 2 = 68, and four years ago, 28 + 25 + 1 + 0 = 54.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Determine the experimental probability of rolling a sum of 5 with 2 dice 50 times
Answer:
Step-by-step explanation:
If you rolled a die 50 times and got (say) 8 1s, 7 2s, 9 3s, 10 4s, 9 5s and 7 6s, then the empirical probability of a 1 would be 8/50, of a 2 would be 7/50, of a 4 would be 10/50, of a 5 would be 9/50, and of a 6 would be 7/50.
Different varieties of field daisies have numbers of petals that follow a Fibonacci sequence. Three varieties have 13, 21, and 34 petals.
Answer:
A. 55, 89
Step-by-step explanation:
In a Fibonacci sequence, you start with 2 given numbers. Then each subsequent number is the sum of the last two numbers.
12, 21, 34
12 + 21 = 34
34 + 21 = 55
55 + 34 = 89
Answer: 55, 89
PLEASE SOLVE AL QUESTIONS, PLEASEEE!!
9514 1404 393
Answer:
a) 2
b) left: 3; lower right: 5
c) upper right: 53°; bottom: 82°
Step-by-step explanation:
3.a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.
the scale factor is 2
__
b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.
left side: 2×1.5 = 3
lower right side: 2×2.5 = 5
__
c) Corresponding angles of similar figures are congruent.
upper right angle: 53°
bottom angle: 82°
___
4.
The arithmetic of problem 4 is correct as shown.
a contractor charges $1200 for 100 square feet of roofing installed. at this rate how much does it to have 1,100 square feet installed
Answer:
$13,200
Step-by-step explanation:
if 100 square feet = $1,200
1,100 square feet = $13,200
A classroom has 35 students. If the ratio of boys to girls was 5:2, , how many girls were in the class
Answer:
35/14
Step-by-step explanation: 35/14
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
35/14 is your answer.
Answer:
10 girls.
Step-by-step explanation:
Boys: 5x
Girls: 2x
next... 5x + 2x = 35
7x= 35
x=5
Answer. 10 girls.
what is the gcf of 10 and 62
In the following studies, state whether you would use a one-sample t test or a two-independent-sample t test.
A. A study testing whether night-shift workers sleep the recommended 8 hours per day.
B. A study measuring differences in attitudes about morality among Democrats and Republicans.
C. An experiment measuring differences in brain activity among rats placed on either a continuous reward schedule (rewarded every time behavior is exhibited) or an intermittent reward schedule (rewarded after every few times behavior is exhibited).
Answer:
A) one-sample t-test
B) two sample t-test
C) two sample t-test
Step-by-step explanation: The one - sample t-test is used to determine the existence of a statistical difference between a sample mean and a given population mean. The one sample t test is only capable of making comparison between a singular sample mean and an established value. Such is the case in (A) where the aim is to determine if a group of night workers sleep for 8 hours.
The other two cases however, involves making comparison between the sample means of two different groups, this requires the use of a two independent sample t-test
For a one-sample t test:
(Sample mean - population mean) / standard error.
Sample mean = s
Population mean = p
Sample size = n
For a two sample t-test :
[(s2 - s1) - (p2 - p1)] ÷ √[(sd1^2/n1) + (sd2^2/n2)]
Olcquations
Week 5 Assignment: Mixture Problems and Systems of Equations
Due Sunday by 11:59pm
Points 10
Submitting an external tool
Solve interest applications using a system of equations
Question
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4%
interest on the total investment. How much money did he put in each account?
Sorry, that's incorrect. Try again?
3% amount: S 600
8% amount: S 2400
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Answer:
$600 at 8%$2400 at 3%Step-by-step explanation:
You have the right numbers, but the wrong accounts.
__
Let x represent the amount invested at 8% (the highest rate). Then the total interest is ...
.08x +.03(3000 -x) = .04(3000)
.05x = .01(3000) . . . . subtract .03(3000)
x = 3000/5 = 600
Matthew invested $600 at 8%, $2400 at 3%.
_____
Comment on checking your answer
You may notice that the overall interest rate is 4%, closer to 3% than to 8%. That means more of the money must be invested at 3% than at 8%.
Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?
Answer:
No
It could be purely due to chance.
Step-by-step explanation:
A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.
So it is not necessary for a population to have the same characteristics as the sample.
But it is essential for the sample to have at least one same characteristics as the population.
So we would not be correct in inferring that such a relationship also exists in the population.
It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.
For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.
It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.
Find the measure of the remote exterior angle. mZx = (4n – 18)º
m2y = (n+9)°
m2z = (151 – 5n)º
y
Х
Z
Answer:
71°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle
m<x + m<y = m<z
4n - 18 + n + 9 = 151 - 5n
5n - 9 = 151 - 5n add like terms
10n = 160
n = 16
Since m<z = 151 - 5n we replace n with 16 and 151 - 5×16 = 71
Answer:
A. 71
Step-by-step explanation:
x + y = z
4n - 18 + n + 9 = 151 - 5n
5n - 9 = 151 - 5n
10n = 160
n = 16
Z = 151 - 5(16) = 71
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (; for example, enter x2 as x^2.
This is equivalent to x^2+8x+13
======================================================
Explanation:
The vertex of f is at (0,0). The vertex of g is at (-4, -3). The vertex has moved 4 units to the left and 3 units down.
To shift to the left, we replace x with x+4. So we have f(x) = x^2 turn into f(x+4) = (x+4)^2 so far.
Then we subtract off 3 to move everything 3 units down. We have
g(x) = (x+4)^2-3
---------------------
Optionally we can expand things out like so
g(x) = (x+4)^2-3
g(x) = (x+4)(x+4)-3
g(x) = x(x+4)+4(x+4)-3
g(x) = x^2+4x+4x+16-3
g(x) = x^2+8x+13
Showing that (x+4)^2-3 is equivalent to x^2+8x+13
Find the product . Write your answer in exponential form 8^-2•8^-9
Answer:
8^-11
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
Then we have ...
(8^(-2))·(8^(-9)) = 8^(-2-9) = 8^-11
For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).
Answer:
[tex]\displaystyle F(b + 3) = b^2 + 4b + 7[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystlye F(x) = x^2 - 2x + 4[/tex]
And we want to find F(b + 3).
We can substitute:
[tex]\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4[/tex]
Expand:
[tex]\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4[/tex]
Rearrange:
[tex]\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)[/tex]
Combine like terms. Hence:
[tex]\displaystyle = b^2 +4b + 7[/tex]
In conclusion:
[tex]\displaystyle F(b + 3) = b^2 + 4b + 7[/tex]
What is the first step in mathematical induction?
Answer:
Show that the statement is true for n=1
Step-by-step explanation:
Hey,
Show that the statement is true for n=1
You can check my other answer there which explains a little bit more the ideas.
https://brainly.com/question/17162256
thank you
Divide 3 2/3 ÷ 2 1/3. Simplify the answer and write it as a mixed number.
*Will Give Brainliest* Find the length of side xx in simplest radical form with a rational denominator.
Answer:
10√2 = x
Step-by-step explanation:
Since the figure is a square, all angles of the square are equal to 90 degrees
The diagonal also bisects the 90 degrees into 2 45 degrees
So you can use special triangles to find x
Ratio of sides of a 45-45-90 triangle is 1: 1: √2
10: 10: 10√2
you can also use pythagorean theorem
10^2 + 10^2 = x^2
100 + 100 = x^2
200 = x^2
10√2 = x
Answer:
12
Step-by-step explanation:
12=12
IM DOING THIS TO GIVE OTHER GUY BRAINLIEST CUZ HE ALSO HELPED ME GET IT RIGHT
Given this equation for converting temperature from Celsius to Fahrenheit F equals 9/5C +32 what is F1C is 30
Answer: F = 86°
Step-by-step explanation:
Given information
Celsius = 30°
Given the formula for convertion
F = (9/5)C + 32
Substitute values into the formula
F = (9/5) · (30) + 32
Simplify by multiplication
F = 270/5 + 32
F = 54 + 32
Simplify by addition
[tex]\boxed{F=86}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Hi Maths lovers, if someone can explain me when l want to get NR doing NSR way ( going upwards) where this 3/5 b + 2/5 a or 2/5 a + 3/5 b comes from? Thanks
Answer:
see explanation
Step-by-step explanation:
SQ = SP + PQ = - b + a
Since SN : NQ = 3 : 2 then SQ = 3 + 2 = 5 parts , thus
SN = [tex]\frac{3}{5}[/tex] SQ = [tex]\frac{3}{5}[/tex] ( - b + a) = - [tex]\frac{3}{5}[/tex]b + [tex]\frac{3}{5}[/tex] a
Thus
NR = NS + SR
= - (- [tex]\frac{3}{5}[/tex] b + [tex]\frac{3}{5}[/tex] a) + a
= [tex]\frac{3}{5}[/tex] b - [tex]\frac{3}{5}[/tex] a + a
= [tex]\frac{2}{5}[/tex] a + [tex]\frac{3}{5}[/tex] b
Answer:
Yeah
Step-by-step explanation:
Very simple
It was said that
SN:NQ=3:2
→2SN = 3NQ
SN=SR-NR
SN=a - NR
NQ = NR - QR
NQ=NR - b
SQ = SN + NQ
Recall that SN=(3NQ)/2
SQ = (3NQ)/2 + NQ
SQ = (5/2)NQ
a - b = (5/2)(NR - b)
After simplification
NR = (2/5)a - (2/5)b +b
Factorize
NR = (2/5)a + (-2/5 + 1)b
NR = (2/5)a + (3/5)b
3 and 4 are complementary
Complementary angles are those whose sum is 90° hence angles 3 and 4 will not be complementary angles but they will have adjacent angles so it will be true.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given,
Angle 3 and angle 4 are only two angles of a single line
So,
∠3 + ∠4 = 180°
So they will be supplementary angle not complimentary angle.
Angle 3 and 4 are adjacent angle because they are neighbors of each other.
Hence, they will not be complementary angles but will be the adjacent angle.
For more about the angle
brainly.com/question/13954458
#SPJ5
Convert 413 in base 5 to base 10
Answer:
108
Step-by-step explanation:
4×5² + 1×5¹ + 3×5⁰
4×25 + 5+ 3×1
100+5+3
What is the area of a triangle with a base of 8 and a height of 16?
Answer:
[tex] \frac{1}{2} \times 8 \times 16 \\ = 64[/tex]
The answer you are looking for is 64 m².
Solution/Explanation:
First, setting up the formula for the area of a triangle,
A=1/2bh
Next, substituting the given values of the base and the height,
A=1/2(8)(16)
Now, simplifying it to get to the final answer,
A=64 m²
So, therefore, the final answer is 64 m².
I hope this helped you find your answer. Enjoy your day, and take care!
The formula for the distance traveled over time t and at an average speed v. v times t. If Amit ran for 40 minutes at a speed of about 5 kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers? Can you help me figure out the answer?
Answer:
Thus, Amit ran 3.33 KM
calculation needed:
conversion of time (40 minutes to hour)
multiplying velocity and time (which we got in hours)
Step-by-step explanation:
Given
to calculate the distance: . v times t
that is multiply v with t
where v is average velocity
t is the time
__________________________________
Given
v = 5 km/hour
time = 40 minutes
since speed is in Km per hour and also we have to find distance in km
lets convert time which in 40 minutes to hour
we know
60 minutes = 1 hour
1 minute = 1/60 hour
40 minutes = 40/60 hour = 2/3 hour
distance = v times t
distance = 5*2/3 = 10/3 = 3 1/3 km = 3.33 km
Thus, Amit ran 3.33 KM
calculation needed:
conversion of time (40 minutes to hour)
multiplying velocity and time (which we got in hours)
Answer:
5 • 40/50
Is the correct answer
Try to get to every number from 1 to 10 using four 4's and any number of arithmetic operations (+, −, ×, ÷). You may also you parentheses. Examples to get 0: 0=4+4−(4+4); 0=44−44; 0=4×4−4×4
Answer:
0=4×4−4×4
Step-by-step explanation:
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
1 = 4 ÷ 4
2 = (4 + 4) ÷ 4
3 = (4 + 4 + 4) ÷ 4
4 = 4 + 4 - 4
5 = (4 × 4 + 4) ÷ 4
6 = (4 + 4) - (4 ÷ 4) - (4 ÷ 4)
7 = (4 + 4) - (4 ÷ 4)
8 = 4 + 4
9 = (4 + 4) + (4 ÷ 4)
10 = (4 + 4) + (4 ÷ 4) + (4 ÷ 4)
The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luggage, which in turn will result in higher fuel costs. For a sample of 21 flights, the correlation between the number of passengers and total fuel cost was 0.668.
(1)
State the decision rule for 0.10 significance level: H0: Ï â‰¤ 0; H1: Ï > 0 (Round your answer to 3 decimal places.)
Reject H0 if t >
(2)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
Answer:
Decision Rule: To reject the null hypothesis if t > 1.328
t = 3.913
Step-by-step explanation:
The summary of the given statistics include:
sample size n = 21
the correlation between the number of passengers and total fuel cost r = 0.668
(1) We are tasked to state the decision rule for 0.10 significance level
The degree of freedom df = n - 1
degree of freedom df = 21 - 1
degree of freedom df = 19
The null and the alternative hypothesis can be computed as:
[tex]H_o : \rho < 0\\ \\ Ha : \rho > 0[/tex]
The critical value for [tex]t_{\alpha, df}[/tex] is [tex]t_{010, 19}[/tex] = 1.328
Decision Rule: To reject the null hypothesis if t > 1.328
The test statistics can be computed as follows by using the formula for t-test for Pearson Correlation:
[tex]t = r*\sqrt{ \dfrac{(n-2)}{(1-r^2)}[/tex]
[tex]t = 0.668*\sqrt{ \dfrac{(21-2)}{(1-0.668^2)}[/tex]
[tex]t = 0.668*\sqrt{ \dfrac{(19)}{(1-0.446224)}[/tex]
[tex]t = 0.668*\sqrt{ \dfrac{(19)}{(0.553776)}[/tex]
[tex]t = 0.668*5.858[/tex]
t = 3.913144
t = 3.913 to 3 decimal places
What is 5% added to $194?
Answer:
203.7
Step-by-step explanation:
5% of 194 added to 194 =
= 5% * 194 + 194
= 0.05 * 194 + 194
= 9.7 + 194
= 203.7
Answer Both Questions
Answer:is the first answer 15.875 and the second answer 17 x 28 ÷5
Step-by-step explanation:
Dada la recta L: 3x - 2y + 1 = 0, ¿cual es la pendiente de la recta L1?
Answer:
La pendiente de la recta L es [tex]\frac{3}{2}[/tex].
Step-by-step explanation:
La recta está presentada en su forma implícita, es decir, que está bajo la forma:
[tex]f(x,y) = 0[/tex]
Para determinar la pendiente de la recta, se debe transformarla a su forma explícita, cuya fórmula es:
[tex]y = m \cdot x + b[/tex]
Donde:
[tex]x[/tex] - Variable independiente, adimensional.
[tex]y[/tex] - Variable dependiente, adimensional.
[tex]m[/tex] - Pendiente, adimensional.
[tex]b[/tex] - Intercepto, adimensional.
Entonces:
[tex]3\cdot x - 2\cdot y + 1 = 0[/tex]
[tex]2\cdot y = 3\cdot x +1[/tex]
[tex]y = \frac{3}{2}\cdot x + \frac{1}{2}[/tex]
Por simple inspección, se determina que la pendiente de la recta L es [tex]\frac{3}{2}[/tex].