A group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U. The survey revealed the following information. 55 said "great football team" (F) 51 said "excellent party reputation" (P) 61 said "it was the only place that would accept me" (O) 9 said "great football team" but didn't say "excellent party reputation" and didn't say "it was the only place that would accept me" 26 said "it was the only place that would accept me" and "great football team" and "excellent party reputation" 31 said "excellent party reputation" and "great football team" 8 said only "excellent party reputation" 4 said none of the above reasons Required:a. How many said "it was the only place that would accept me" and "excellent party reputation"? b. How many said "great football team "or "it was the only place that would accept me"? c. How many said "great football team "but no "excellent party reputation"? d. How many were surveyed?

Steps to solve:

-1 4/5x = 9

~Simplify

-9/5x = 9

~Multiply 5/-9 to both sides

x = 5

Best of Luck!

Answer:

5

Step-by-step explanation:

Answer:

12 feet or 12 ft

Step-by-step explanation:

We solve for this question using Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = Angle of elevation = 33.7°

Opposite side = Height of the lamp = ??

Adjacent side = Shadow of the lamp = 18 feet

Hence,

tan 33.7° = Opposite/ 18

tan 33.7° × 18 = Opposite

Opposite = 12.004507735 feet

Approximately to the nearest foot = 12.0feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the lamppost, hence:

tan(33.7) = h/18

h = 12 feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

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Answer:

$36.40

Step-by-step explanation:

Purchase Price:

$52

Discount:

(52 x 30)/100 = $15.60

Final Price:

52 - 15.60 = $36.40

$36.40 is the answer. Hope this helps!

Answer:

$36.40

Step-by-step explanation:

Sorry if i'm wrong hope this helps

Answer:

The other leg is 4 m long, and the hypotenuse is 5 m long

Step-by-step explanation:

Recall that the longest side of a right angle triangle is its hypotenuse, and that the legs and hypotenuse must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2[/tex]

so, we know that the other two sides have consecutive integers for lengths. That is: if one is "x" in length, the other one must be "x+1"

So we can assume that the largest of this is the hypotenuse: "x+1"

Not, they must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2\\(x+1)^2=x^2+3^2\\x^2+2\,x+1=x^2+9\\2\,x+1=9\\2\,x=8\\x = 4[/tex]

then, the other side is of length 4 m, and finally the hypotenuse is of length 4+1 = 5 m

Answer:

what is the question?

Step-by-step explanation:

Answer:

Y=8

Step-by-step explanation:

If it's a line that is parallel to the x-axis, and you know the equation of a line is y=mx+b, the slope(m) is 0 because the line is not a positive or negative slope (since it's parallel to the x-axis).

So, we now have y=b, where b is the y-intercept. Now, since we know one of its coordinates are (5,8), we know that this line will always stay on y=8 since 8 is the y coordinate of (5,8)

An easy shortcut is if you see the question say parallel to the x-axis, the equation of the line will be y=___; if it says the line is parallel to the y-axis, the equation will be x=___

Answer:

1/6

Step-by-step explanation:

Given:

Total

Ratio of squares to total shapes:

Answer:

1:6

Step-by-step explanation:

There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.

Hope this helps!

Answer:

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ) = 5.4

Given sample size 'n' = 9

Mean of the sample (x⁻) = 5.7

Standard deviation of the sample (s) = 0.81

Step(ii):-

Null Hypothesis: H₀:  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

Alternative Hypothesis : H₁:  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

           [tex]t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }[/tex]

         t = 1.11

Degrees of freedom

ν = n-1 = 9-1 =8

t₀.₀₁₅ , ₈  = 2.89

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Answer:

0.531 s

Hope it helped u if yes mark me BRAINLIEST

Answer:

Pham Family = 30 hours

Morgan Family = 35 hours

Step-by-step explanation:

Step 1 Deriving the equation

Let the duration in hours of Pham Family sprinkler = "x"

Let the duration in hours  of Morgan Family = "y"

Total combined duration = 65 hours provided.

That is:

x + y = 65                               Equation 1

Pham's sprinkler capacity = 25 litre per hour

Total water through this = 25 litre per hour for "x" hours = 25x

Morgan's sprinkler capacity = 35 litre per hour

Total water through this = 35 litre per hour for "y" hours = 35y

Now, provided

Total water output from both = 1,975 litre

That means

25x + 35y = 1,975                   Equation 2

Step 2 Solving the equation

Let us multiply equation 1 with 25

We have

25x + 25y = 65 [tex]\times[/tex] 25

25x + 25y = 1,625                       Revised Equation 1

Subtracting revised equation 1 from equation 2 we have:

(25x - 25x) + (35y - 25y) = (1,975 - 1,625)

0 + 10y = 350

y = 350/10 = 35

Since y = 35

Putting value of y in original equation 1 we have

x + 35 = 65

x = 65 - 35 = 30

Thus, Total Sprinkler hours of Pham = 30

Total Sprinkler hours of Morgan = 35

Answer:

Step-by-step explanation:

d - 262 = z

Answer:

a and c

a and c are the expressions with a difference less than 5

Step-by-step explanation:

a) 8.3-4.07=4.23

b) 9.33-3.99=5.34

c) 7.1-2.603=4.497

d) 12.3-7.08=5.22

e)7.005-2.005=5

Hope this helps ;) ❤❤❤

Answer:

Hey there!

A: 7

B: 6

C: 5

D: 7

X: 10

7x6x5x7x7x7x10x10x10=720,300,000

Let me know if this helps :)

Answer:

16.67

Step-by-step explanation:

78 / 4.68

= 7800 / 468

= 16.67

When 78 is divided by 4.68 it gives 16.67 as a result.

From the four basic operations of arithmetic, the division is one. The division is generally done when we want to distribute something in equal portions.

therefore, 78 divided by 4.68 can be solved as,

78 divided by 4.68

[tex]78\div 4.68\\\\=\dfrac{78}{4.68}\\\\=\dfrac{78}{\dfrac{468}{100}}\\\\\\=\dfrac{78 \times 100}{468}\\\\=\dfrac{7800}{468}\\\\=16.6667 \approx 16.67[/tex]

Hence, when 78 is divided by 4.68 it gives 16.67 as a result.

Learn more about Division:

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Answer:

4

Step-by-step explanation:

8/2=4

4*3=12

12+4=16

16-12=4

Answer:

I believe the answer is 72.

Answer:

13 seconds more

Step-by-step explanation:

Answer:

6*y/2=24

24*2=48

48/6=8

y=8

Step-by-step explanation:

The equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .

A triangle has area 24 square ft. and height 6 ft.

What will be its base. Find an equation also.

What is the formula of area of triangle ?

Area of triangle is ; Area = [tex]\frac{1}{2}[/tex] × b × h

∵ The equation of area of triangle will be ;

Area = A = [tex]\frac{1}{2}[/tex] × b × h ----- - --- --- --- Equation 1

A = 24 = [tex]\frac{1}{2}[/tex] × b × 6

⇒ b = [tex]\frac{24 * 2}{6}[/tex] = [tex]\frac{48}{6}[/tex] = 8

⇒ b = 8 ft.

Thus , the equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .

To learn more about area of triangle click here ;

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#SPJ2

Answer:

B) considers total cost.

Step-by-step explanation:

Economic order quantity (EOQ) is the ideal order quantity a company should purchase to minimize inventory costs such as holding costs, shortage costs, and order costs.

The formula for EOQ is:

Q= √2DS/H

Q=EOQ units

D=Demand in units (typically on an annual basis)

S=Order cost (per purchase order)

H=Holding costs (per unit, per year)

​

Answer:

x =-1

Step-by-step explanation:

[tex]5x- 7 = 8x - 4\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\5x-7+7=8x-4+7\\\\Simplify\\5x=8x+3\\\\\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}\\5x-8x=8x+3-8x\\\\Simplify\\-3x =3\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{3}{-3}\\\\Simplify\\x=-1[/tex]

Answer:

x = -1

Step-by-step explanation:

[tex]5x - 7 = 8x - 4\\[/tex]

Collect like terms and simplify

[tex]5x-8x =-4+7\\-3x =3[/tex]

Divide both sides of the equation by -3

[tex]\frac{-3x}{-3} = \frac{3}{-3} \\\\x =-1[/tex]

Answer:

Hypothesis

a. If two integers are even

Conclusion

b. then their sum is even

Step-by-step explanation:

We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.

In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion )  Part is proved then the "If two integers are even" ( hypothesis) is also true.

Hence the hypothesis is

a. If two integers are even

and

Conclusion is

b. then their sum is even

Answer:

In bold below.

Step-by-step explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM =  (p + 2)(p - 2)(p^2 + 4 - 2p)

Answer:

i think it will be 20 unit diatance .

N(S)=6

P(vowel letter)= N(vowel letter)÷N(S)

= 1/6

Answer:1/6

Step-by-step explanation:f

Answer:

r<-6

Step-by-step explanation:

8(-3r-5)>104

-24r-40>104

-24r>144

r<144÷-24 (the sign switched because we divided by a negative number)

r<-6

Answer: B. KL.

Step-by-step explanation:

A kiloliter (kl) is a unit which is derived from the metric SI (System International). This measurement is used when unit of volume with sides equal to one meter (1m) and as such, is equivalent to one cubic meter. One kiloliter (1kl) is which is same as one thousand liters (1000l). The kiloliter is used when volume of liquid is to be measured. This applies to a pool in the question.

Answer:

199

Step-by-step explanation:

So we have three consecutive numbers that totals 600 when added.

Let's let the first number be n.

This means that the next number is (n+1), and the subsequent number is (n+2).

This totals 600. In other words:

[tex](n)+(n+1)+(n+2)=600[/tex]

To solve for the integers, solve for n.

Combine like terms:

[tex]3n+3=600[/tex]

Subtract 3 from both sides:

[tex]3n=597[/tex]

Divide both sides by 3:

[tex]n=199[/tex]

So, the first integer is 199.

So our sequence is: 199, 200, 201.

So, the least of the three is 199.

And we're done!

Answer:

199 200 201

Step-by-step explanation:

199+200+201= 600

Answer:

Step-by-step explanation:

10x100=1000

Its all about the Zeros

Answer:

Time for the trip= 0.97 hours

Step-by-step explanation:

Distance covered in total = 800km

First half of the journey

= 800/2= 400km

Speed for first half= 900km/h

Time for the first half= 400/900

Time = 4/9 Hours

Distance covered in total = 800km

Second half of the journey

= 800/2= 400km

Speed for second half= 760km/h

Time for the second half= 400/760

Time = 10/19 Hour

Total time for Trip= 4/9 + 10/19

Time for the trip= 0.97 hours