In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students from the university was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. Using α = .05, the conclusion of the test is that the a. proportions have not changed significantly. b. proportions follow normal distribution. c. Marascuilo procedure is more applicable. d. null hypothesis cannot be rejected.

Answer:

B. 4

Step-by-step explanation:

We are looking for the coefficient of the term x⁵. When we see it in the polynomial as 4x⁵, our coefficient and answer would then be 4.

Answer:

[tex]\frac{6}{5} =\frac{x}{12}[/tex]

Step-by-step explanation:

Write a proportion in the form:

Height/side= height/side

The side lengths are 5 and 12.

The height (of the 5 side) is 6.

The proportion can be written as:

[tex]\frac{6}{5} =\frac{x}{12}[/tex]

Answer:

The lower bound of the confidence interval is 0.6922.

Step-by-step explanation:

We have to calculate a 94% confidence interval for the proportion.

The sample proportion is p=0.7167.

[tex]p=X/n=860/1200=0.7167[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.7167*0.2833}{1200}}\\\\\\ \sigma_p=\sqrt{0.000169}=0.013[/tex]

The critical z-value for a 94% confidence interval is z=1.8808.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.8808 \cdot 0.013=0.0245[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.7167-0.0245=0.6922\\\\UL=p+z \cdot \sigma_p = 0.7167+0.0245=0.7412[/tex]

The 94% confidence interval for the population proportion is (0.6922, 0.7412).

Answer:

N=7

Step-by-step explanation:

It is correct on Khan

Answer:

GCF - 16

Step-by-step explanation:

48 - 1, 2, 3, 4, 6, 8, 12, 16

32 - 1, 2, 4, 8, 16

Hope this helps! :)

Answer:

16

Step-by-step explanation:

48=3*16

32=2*16

Answer:

B = 55°

a ≈ 143

c ≈ 212

Step-by-step explanation:

From the triangle above we are given a triangle with two known angles and a known side. The sum of angles in a triangle is 180°. Since we are given two angles, the last angle can be gotten when you subtract the two known angles from 180°. Therefore,

angle B = 180° - 42° - 83°

angle B = 55°

To find side a we can use law of sine

a/sin A = b/sin B

a/sin 42° = 175/sin  55°

a/0.66913060635  = 175/0.81915204428

cross multiply

0.81915204428 a  = 117.097856113

divide both sides by 0.81915204428

a =  117.097856113 /0.81915204428

a = 142.950087143

a ≈ 143

To find side c

b/sin B = c/sin C

175/sin 55 = c/sin 83°

cross multiply

c sin 55° = 175 sin 83°

divide both sides by sin 55°

c = (175 × 0.99254615164)/0.81915204428

c = 173.695576537 / 0.81915204428

c = 212.043146019

c ≈ 212

Answer:

-5/6 and -8/3

Step-by-step explanation:

To find the cordinates of the midpoint we must add the coordinates together and divide them by 2

let A be the midpoint of this line :

A (1/2-4/3 , -5/2-1/6)

A( -5/6, -8/3)

Answer:

Step-by-step explanation:

The midpoint of the points (1/2, -5/2) and (-4/3, -1/6) is

[tex] (\frac{ \frac{1}{2} - \frac{4}{3} }{2} \: \: \frac{ - \frac{ 5}{2} - \frac{1}{6} }{2} ) \\ \\ = ( \frac{ - \frac{5}{6} }{2} \: \: \frac{ - \frac{8}{3} }{2} ) \\ \\ = ( - \frac{5}{12} \: \: \: - \frac{4}{3} )[/tex]

Hope this helps you

Answer:

D

Step-by-step explanation:

(x - 1)² = (x - 1)(x - 1)

x² - x- x + 1 = x² - 2x + 1

Answer:

C. Two-tailed paired t-test.

Step-by-step explanation:

Since Dr. Hernandez takes 30 samples from a contaminated lake and 30 fish from a pristine lake, he should use a two-tailed t-test.

Paired t-tests describe tests used to compare the means of two samples when each observation in one sample can be paired with an observation in the other sample. Dr. Hernandez can certainly pair the samples and observe the differences, so the answer is C. Two-tailed paired t-test.

Hope this helps!

Answer:

the photo shows the answer ^D^ hope this helps~

Step-by-step explanation:

+also included the correct sign for confirmation xD

Answer:

up answer is correct :)

Step-by-step explanation:

(1) Looks like the joint density is

[tex]f_{X,Y}(x,y)=\begin{cases}cxy&\text{for }0<y<x<4\\0&\text{otherwise}\end{cases}[/tex]

In order for this to be a proper density function, integrating it over its support should evaluate to 1. The support is a triangle with vertices at (0, 0), (4, 0), and (4, 4) (see attached shaded region), so the integral is

[tex]\displaystyle\int_0^4\int_y^4 cxy\,\mathrm dx\,\mathrm dy=\int_0^4\frac{cy}2(4^2-y^2)=32c=1[/tex]

[tex]\implies\boxed{c=\dfrac1{32}}[/tex]

(2) The region in which X > 2 and Y < 1 corresponds to a 2x1 rectangle (see second attached shaded region), so the desired probability is

[tex]P(X>2,Y<1)=\displaystyle\int_2^4\int_0^1\frac{xy}{32}\,\mathrm dy\,\mathrm dx=\boxed{\dfrac3{32}}[/tex]

(3) Are you supposed to find the marginal density of X, or the conditional density of X given Y?

In the first case, you simply integrate the joint density with respect to y:

[tex]f_X(x)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dy=\int_0^x\frac{xy}{32}\,\mathrm dy=\begin{cases}\frac{x^3}{64}&\text{for }0<x<4\\0&\text{otherwise}\end{cases}[/tex]

In the second case, we instead first find the marginal density of Y:

[tex]f_Y(y)=\displaystyle\int_y^4\frac{xy}{32}\,\mathrm dx=\begin{cases}\frac{16y-y^3}{64}&\text{for }0<y<4\\0&\text{otherwise}\end{cases}[/tex]

Then use the marginal density to compute the conditional density of X given Y:

[tex]f_{X\mid Y}(x\mid y)=\dfrac{f_{X,Y}(x,y)}{f_Y(y)}=\begin{cases}\frac{2xy}{16y-y^3}&\text{for }y<x<4\text{ where }0<y<4\\0&\text{otherwise}\end{cases}[/tex]

Answer:

[tex]\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-5}{2} \ \ }[/tex]

Step-by-step explanation:

hello,

the easiest way to understand what we have to do is the following in my opinion

we can write

[tex](fof^{-1})(x)=x\\<=>f(f^{-1}(x))=x\\<=>2f^{-1}(x)+5=x\\<=>2f^{-1}(x)+5-5=x-5 \ \ \ subtract \ \ 5\\<=> 2f^{-1}(x)=x-5 \\<=> f^{-1}(x)=\dfrac{x-5}{2} \ \ \ divide \ by \ 2\\[/tex]

so to follow the pattern of your question

y = 2x + 5

we need to find x as a function of y, so let's swap x and y

x = 2y + 5

then subtract 5

x - 5 = 2y

then divide by 2

[tex]\dfrac{x-5}{2}=y[/tex]

finally

[tex]f^{-1}(x)=\dfrac{x-5}{2} \\[/tex]

hope this helps

Answer:

1. y= 2x + 5

2. x = 2y + 5

3. x - 5 = 2y

4. (x-5)/2 =u

5. f^-1(x) = (x-5)/2

Step-by-step explanation:

:)

Answer:

A

Step-by-step explanation:

I did the test and it is the only one that makes sense

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello

[tex](-4b^5c^{-6})^3\\\\=(-1)^34^3b^{15}v^{-18}\\=-64b^{15}c^{-18}\\\\=\dfrac{-64b^{15}}{c^{18}}\\[/tex]

hope this helps

The simplified form of the given exponential expression is -64b¹⁵/c¹⁸.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given exponential expression is (-4b⁵c⁻⁶)³.

Here, the given expression can be written as -4³(b⁵)³(c⁻⁶)³

= -64b¹⁵c⁻¹⁸

= -64b¹⁵/c¹⁸

Therefore, the simplified form of the given exponential expression is -64b¹⁵/c¹⁸.

To learn more about an exponents visit:

https://brainly.com/question/15993626.

#SPJ2

Answer:

938 feet

Step-by-step explanation:

b/c every angle of a rectangle is 90° u can u Pythagorean theroem to solve the question

a*a+ b*b=c*c

900*900+264*264=c*c

c=√879,696

c=938feet

Answer:

938 feet

Step-by-step explanation:

Well to solve this we need to use the Pythagorean Theorem,

[tex]a^2 + b^2 = c^2[/tex].

So we have a and b which are 900 and 264,

and we need to find c or the walking distance.

So we plug in 900 and 264 for a and b.

[tex](900)^2 + (264)^2 = c^2[/tex]

So, 900*900 = 810,000

264 * 264 = 69696

810000 + 69696 = 879696

So now we have,

879696 = c^2

To get the c by itself we do,

[tex]\sqrt{879696} = \sqrt{c}[/tex]

= c = 937.921105424

c = 938 rounded to the nearest foot

Thus,

the solution is 938.

Hope this helps :)

Answer:

3/8

Step-by-step explanation:

Step 1: Find common denominators

1/2 = 4/8

2/4 = 4/8

Step 2: Evaluate

4/8 + 4/8 - 5/8

8/8 - 5/8

3/8

Alternatively, you can just plug this into a calc to evaluate and get your answer.

Answer:

3/8

Step-by-step explanation:

Look at the denominator:

2, 4, 8. The LCM (Lowest Common Multiple) is 8.

So this equation becomes

4/8+4/8-5/8=3/8

Answer:

a) 4.8

b) 2.96

c) 4.4

d) 1.44

e) 3.76

Step-by-step explanation:

What we will do is solve point by point, knowing the following:

Fx (x) = P (X <= x) = (x - 1) / 4

a) P (X <-a) = 0.95

Fx (a) = 0.95

(a -1) / 4 = 0.95

a = 1 + 0.95 * 4

a = 4.8

b) P (X <a) = 0.49

Fx (a) = 0.49

(a -1) / 4 = 0.49

a = 1 + 0.49 * 4

a = 2.96

c) P (X <a) = 0.85

Fx (a) = 0.85

(a -1) / 4 = 0.55

a = 1 + 0.85 * 4

a = 4.4

d) P (X> a) = 0.89

P (X <a) = 1 - 0.89 = 0.11

Fx (a) = 0.11

(a -1) / 4 = 0.11

a = 1 + 0.11 * 4

a = 1.44

e) P (X> a) = 0.31

P (X <a) = 1 - 0.31 = 0.69

Fx (a) = 0.69

(a -1) / 4 = 0.69

a = 1 + 0.69 * 4

a = 3.76

Answer:

A.

Step-by-step explanation:

From Step 3 to Step 4, Simon added -42 to both sides.

This is the addition property of equality: as long as you add the same thing to both sides, the equation remains equal.

A.

Answer:

  $1170

Step-by-step explanation:

Let x and y represent the numbers of economy and deluxe seats sold. The constraints are ...

And the objective function we want to maximize is ...

  p = 40x +35y

__

I find it convenient to graph the equations and locate the objective function line as far from the origin as possible. The graph is shown, along with the solution.

Here, it's even simpler than that. The profit per seat is the greatest for economy seats, so Roland's should sell as many of those as they can. The only limit is that 6 seats must be deluxe. The remaining 30-6=24 can be economy. So, the profit will be maximized for ...

  24 economy seats and 6 deluxe seats

The corresponding profit will be ...

  24(40) +6(35) = 1170

The maximum profit from one tour is $1170.

Answer: h(t) = g(t) between 4 and 5 seconds

Step-by-step explanation:

h(t) = -16t² + 90t + 75

g(t) = 31 + 32.2t

[tex]\begin{array}{c|c|c|c|c}\qquad&\underline{\quad t=2\quad }&\underline{\quad t=3\quad}&\underline{\quad t=4\quad }&\underline{\quad t=5\quad }\\h(t)&191&201&179&125\\g(t)&95.4&127.6&159.8&192\end{array}\right][/tex]

Notice that g(t) is increasing from t=2 to t=5, while h(t) is increasing from t=2 to t=3 and then decreasing.  

At t=4, h(t) > g(t)

At t = 5, g(t) > h(t)

therefore, the two lines must intersect at a point between t=4 and t=5.

You can graph this to verify the answer.

Answer:

  $36,450.46

Step-by-step explanation:

The amortization formula can be used to figure this. For quarterly payment A, the principal invested must be P for interest rate r and compounding n times per year for t years.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

  2300 = P(0.0045/4)/(1 -(1 +0.0045/4)^(-4·4))

  2300 = P·0.06309934

  P = 2300/0.06309934 = 36450.46

You need $36,450.46 in your account today so that you can withdraw $2300 quarterly for 4 years.

Step-by-step explanation:

he operation of sorting fractions in ascending order: 18/46, 28/41, 29/38, 29/44, 32/30 ... terms equivalents: 18/46=(2×3^2)/(2×23)=((2×3^2)÷2)/((2×23)÷2)=9/23; 28/41 already reduced to ... by the largest exponents: LCM (9, 28, 29)=2^2×3^2× 7×29=7308 Calculate LCM, the least ... /10 </13 </19

Answer:

(1024/3)r^3.

Step-by-step explanation:

Step one: So, we have that x^2 + y^2 = 4^2 × r^2(when z component = 0) . Hence, there is the need to make y^2 the subject of the formula.

Step two: 4y^2 = 16r^2 - x^2. Where 4 ×(16r^2 - x^2) is the the cross sectional area.

Step three: the next thing to do here is to integrate the cross sectional area making 4r and -4r the upper limit and lower limit for the integration.

Step four: the integration will then give a product (16 × 64)/3 A = (1024/3)r^3.

Answer:

1.411764706

Step-by-step explanation:

24/17=1.411764706

Answer:

Step-by-step explanation:

(x+yi)+4+6i=7-2i

x+yi=7-2i-4-6i

x+yi=3-8i

equating real and imaginary parts

x=3,y=-8

B.

x+yi=5+9i+(-8+11i)

x+yi=5+9i-8-11i

x+yi=-3-2i

equating real ,and imaginary parts

x=-3

y=-2

The value of x  and y for equation A is

[tex]x=3, y=-8[/tex]

The value of x  and y for equation B is

[tex]x=-3 , y=20[/tex]

Given :

[tex](x + yi) + (4 + 6i) = 7 - 2i[/tex]

find the value of x  and y in the given equation

Lets open the parenthesis and combine like terms

Equate the real and imaginary part to solve for x  and y

[tex]\left(x+4\right)+\left(y+6\right)i=7-2i\\x+4=7\\x=3\\\\y+6=-2\\y=-2-6\\y=-8[/tex]

The value of x=3  and y=-8

Now we do the same with second equation

[tex](x + yi) - (-8 + 11i) = 5 + 9i\\\\x+8+yi-11i=5+9i\\\left(x+8\right)+\left(y-11\right)i=5+9i\\x+8=5\\x=-3\\\\y-11=9\\y=9+11\\y=20[/tex]

The value of x  and y is x=-3 and y=20

Learn more : brainly.com/question/18552411

Answer:

A) 0.1855

B) 0.0010376

C) 0.0001297

D) 0.006363

E) 0.000007629

Step-by-step explanation:

In calculation of a probability, we normally take the ratio of the number of ways to meet a certain condition (i.e. the numerator) divided by the number of ways to pick from a pool (i.e. the denominator).

So what are the number of ways the flip of a coin 17 times can come out?

A coin has a head and tail, so each toss will have two possible results. If we toss once, we have 2 possible results. If we toss, twice we have 2² = 4 possible results.

If we toss thrice, we have 2³ = 8 possible results, etc.

Thus, for 17 tosses, we will have 2^(17) = 131072 possible results.

A) To achieve the probability of getting 9 heads, we will use combination formula;

C(n, k) = n! / (k!(n - k)!)

In this case, n = 17 and k = 9

So,

P(9 heads) = 17! / (9!(17 - 9)!) = 24310

Thus,

P(9 heads in 17 tosses of a fair coin) = 24310/131072 = 0.1855

B) Similar to A above;

P(2 heads) = 17! / (2!(17 - 2)!) = 136

Thus,

P(2 heads in 17 tosses of a fair coin) = 136/131072 = 0.0010376

C) Similar to A above;

P(1 tail) = 17! / (1!(17 - 1)!) = 17

Thus,

P(1 tail in 17 tosses of a fair coin) = 17/131072 = 0.0001297

D) probability of getting 14 or more heads?

Since, there are 17 tosses, this will be;

P(14 or more heads in 17 tosses) = P(14 heads in 17 tosses) + P(15 heads in 17 tosses) + P(16 heads in 17 tosses) + P(17 heads in 17 tosses)

P(14 heads) = 17! / (14!(17 - 14)!) = 680

P(15 heads) = 17! / (15!(17 - 15)!) = 136

P(16 heads) = 17! / (16!(17 - 16)!) = 17

P(17 heads) = 17! / (1!(17 - 17)!) = 1

Thus;

P(14 heads in 17 tosses) = 680/131072 = 0.005188

P(15 heads in 17 tosses) = 136/131072 = 0.0010376

P(16 heads in 17 tosses) = 17/131072 = 0.0001297

P(1 head in 17 tosses) = 1/131072 = 0.00000763

P(14 or more heads in 17 tosses) = 0.005188 + 0.0010376 + 0.0001297 + 0.00000763 = 0.006363

E) Similar to A above;

P(17 tails) = 17! / (17!(17 - 17)!) = 1

Thus,

P(17 tails in 17 tosses of a fair coin) = 1/131072 = 0.000007629

Answer:

Step-by-step explanation:

Given

the sample space for box A

green balls = 5

red balls= 7

sample size= 5+7= 12

the sample space for box B

green balls = 3

red balls= 3

yellow balls= 6

sample size= 3+3+6= 12

The probability of drawing a green ball from box A= 5/12

The probability of drawing a green ball from box B= 3/12= 1/4

Therefore the probability of picking a green ball from either of the boxes at random is =[tex]=\frac{5}{12} *\frac{1}{4}[/tex][tex]=\frac{5}{48}[/tex]

Answer:

Step-by-step explanation:

C. 5x/4-2=3x/2-4

 5x/4 -2=6x/4-4

   +4       +4

5x/4+2=6x/4

-5x/4

2=x/4

*4

x=8

Answer:

your answer is C

Step-by-step explanation:

Answer:

-.15 km/ minute * 60 minutes

-9 km

Step-by-step explanation:

The rate is -.15 km per minute

We have 60 minutes

distance = rate  times time

change in elevation is the same as the distance change

change in elevation = -.15 km/ minute * 60

   change in elevation =-9 km

Answer:

(0.15 km/min) * (60 min)

Step-by-step explanation:

We see that the plane descends 0.15 kilometres every minute over the span of 60 minutes.

Use the distance-rate-time formula: d = rt, where d is the distance, r is the rate, and t is the time.

Here, our rate is r = 0.15 km/min and our time is t = 60 minutes. Then the total change in elevation is:

d = rt

d = 0.15 * 60 = 9 km

Note that we disregard the negative sign from -0.15 km/min because the question is asking for the change in elevation. Change is never a negative value.

Hence, the expression will be: 0.15 * 60, which simplifies to 9 km.

~ an aesthetics lover

Answer:

( -∞ , 33 )

Step-by-step explanation:

To solve the inequation a-32 < 1, we need to sum on both sides 32, as:

a - 32 + 32 < 1 + 32

a < 33

It means that the solutions are all the number that are smaller than 33 or in interval notation it would be:

( -∞ , 33 )

Where 33 is not included in the interval.