Esther, Vida, and Clair were asked to consider two different cash flows: GH¢1000 that they could receive today and GH¢3000 that would be received 3 years from today. Esther wanted the GH¢1000 today, Vida chose to collect GH¢3000 in 3 years, and Clair was indifferent between these two options. Which of the three women made the right choice

Answer:

49 cars and 14 bikes

Step-by-step explanation:

we know [tex]7^{2}[/tex] is 49. 7 × 7 = 49

to match that, 7 × 2 = 14

14 plus 49 is 63

Answer:

Profit of $11.00

Step-by-step explanation:

44÷2=22

22×$3.50=$77

$77.00-$66.00=$11.00/profit

Answer:

20

Step-by-step explanation:

Since chord AB and DE are at equal length from the centre, they are equal in length.

AB = DE

3x-7 = 5(x-5)

3x-7 = 5x-25

-7+25 = 5x -3x

18 = 2x

Dividing both side by 2

x = 9

Now

AB = 3(9)-7

= 27 -7

= 20

Answer:

The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Step-by-step explanation:

We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.

Let X = lengths of pregnancies in a small rural village

SO, X ~ Normal([tex]\mu=262,\sigma^{2} = 17^{2}[/tex])

Here, [tex]\mu[/tex] = population mean = 262 days

         [tex]\sigma[/tex] = standard deviation = 17 days

Now, the 68-95-99.7 rule states that;

So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;

[ [tex]\mu -\sigma[/tex] , [tex]\mu + \sigma[/tex] ]  =  [262 - 17 , 262 + 17]

                          =  [245 days , 279 days]

Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Answer:

6x^2+47

Step-by-step explanation:

You simple have to "plug" g(x) into f(x) for x.

f(x)=6x+11

f(g(x))=6(x^2+6)+11

f(g(x))=6x^2+36+11

f(g(x))=6x^2+47

Answer: The first one

Step-by-step explanation:

If you take a look at the light pink squares, you can count three on the top and three on the bottom. Therefore, when looking at it from the top, you’ll see the first one.

I hope you found my answer helpful! If you did, give it a five-star rating and a thanks! I would really appreciate it!

Even a brainliest if you feel like it! ;)

Answer:

the first image will b da answer

Step-by-step explanation:

happy to help ya :)

Answer:

The answer is C.

Step-by-step explanation:

If you type into the calculator for sin(40), you will get approximately 0.64 if you round it to 2 decimal places :

[tex] \sin(40) = 0.6427876097[/tex]

[tex] \sin(40) ≈ 0.64[/tex]

Answer:

If you earn $15 every week then you will have earned $75 by the end of 5 weeks.

Step-by-step explanation:

If $15 is 1 week,

and you need to find how much money after 5 weeks,

you multiply by the same number on both sides

1 = 15

1*5 = 15*5

5 = 75

So after 5 weeks you get $75

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

[tex]P(n, p) = n! / (n - p)![/tex]

So we have:

[tex]P(10, 2) = 10! / (10 - 2)![/tex]

[tex]P(10, 2) = 10! / 8![/tex]

[tex]P(10, 2) = 10*9 = 90[/tex]

So there are 90 different ways of choosing a president and a vice-president.

Answer:

(C) 1466

Step-by-step explanation:

The hour hand makes one revolution each 12 hours. So it makes 2 revolutions a day.

The minute hand makes one revolution each hour. So it makes 24 revoulutions a day.

The second hand makes one revolution each minute. So it makes 24*60 = 1440 revolutions a day.

In total:

2 + 24 + 1440 = 1466

The correct answer is C.

Answer:

x=3

Step-by-step explanation:

graphed on desmos.com

Answer:

is the correct answer.

Step-by-step explanation:

We are given that co-ordinates of D is (-3,8) and F is (5,2).

For finding a point E on the line segment DF dividing it in a ratio 4:1, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where [tex](x,y)[/tex] is the co-ordinate of the point which  

divides the line segment joining the points and in the ratio m:n.

As per the given values  

[tex]x_{1} = -3\\x_{2} = 5\\y_{1} = 8\\y_{2} = 2[/tex]

Putting the given values in above formula :

x-co-ordinate of F:

[tex]x = \dfrac{5 \times 4 + (-3 \times 1)}{4+1}\\\Rightarrow \dfrac{17}{5}\\\Rightarrow x = 3.4[/tex]

y-co-ordinate of F:

[tex]y = \dfrac{4 \times 2 + 1 \times 8}{4+1}\\\Rightarrow \dfrac{16}{5}\\\Rightarrow y = 3.2[/tex]

So, answer is [tex]E(3.4,3.2)[/tex].

Answer:

$20.32 or $12.16 depending on the question below!

Step-by-step explanation:

$320.32

It's a bit ambiguous, the current Principal is $100 plus 2 $ additions of $100 or the current Principal is $0 plaus 2 years of $100 contributions. In this case it's $212.16

Answer:

A: -8

Step-by-step explanation:

4 * -2 is -8, and A is on that point.

Answer:

its a I literally just did it

Step-by-step explanation:

Answer:

The margin of error is 0.0206 = 2.06 percentage points.

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 1900, \pi = 0.7[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.7*0.3}{1900}} = 0.0206[/tex]

The margin of error is 0.0206 = 2.06 percentage points.

The lower limit of this interval is:

[tex]\pi - M = 0.7 - 0.0206 = 0.6794[/tex]

The upper limit of this interval is:

[tex]\pi + M = 0.7 + 0.0206 = 0.7206[/tex]

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

Answer:

0.8

Step-by-step explanation:

(2 x 10^-4)

= 0.0002

(4x10^3)

= 4000

0.0002 x 4000 = 0.8

Answer:

$2.7

Step-by-step explanation:

Let the price of one apple be x

and the price of one orange y

Hence ;

One apple and 3 oranges would cost:

x + 3×y = $5.10----------------------------(1)

One apple and 5 oranges would cost;

x + 5×y = $7.50--------------------------(2)

Subtracting eqn (1) from (2), we have :

x-x + 5y -3y = 7.5- 5.1

2y = 2.4

y = $1.2

From eqn(1)

x + 3y = $5.10

x= $5.10-3($1.2) = $5.10-$3.6 = $1.5

Hence x=$1.5 and y= $1.2

We are required to find the cost of one apple and one orange, hence :

x+y = $1.5+$1.2= $2.7

Answer:

x=1, 2, 3, 4, 5, 6

Step-by-step explanation:

Let's use logic. You can not have negative pizzas, and I assume you can not have decimals of pizzas.

That means that with the coupon you can only buy whole pizzas up to 6.

So the domain or x is1, 2, 3, 4, 5, 6

Solution,

radius=10 cm

Circumference of circle=2 pi r

=2*3.142*10

=62.84 cm

hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

Hello!

The variable of study is

X: number of complaints per industry (Categorized: Bank, Cable, Car, Cell, Collection

Considering this is a categorical variable, and the hypothesis is that all categories have the same probability, you have to apply a Chi-Square  Goodness to Fit test.

Observed frequencies per category

1) Bank: 26

2) Cable: 44

3) Car: 42

4) Cell: 60

5) Collection: 28

Total= 200

Statistical hypotheses:

H₀: P₁=P₂=P₃=P₄=P₅=1/5

H₁: At least one of the proposed proportions is different.

α: 0.01

[tex]X^2= sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex]

For this test the formula for the expected frequencies is:

[tex]E_i= n * P_i[/tex]

So the expected values for each category is:

[tex]E_1= n * P_1= 200*1/5= 40[/tex]

[tex]E_2= n * P_2= 200*1/5= 40[/tex]

[tex]E_3= n * P_3= 200*1/5= 40[/tex]

[tex]E_4= n * P_4= 200*1/5= 40[/tex]

[tex]E_5= n * P_5= 200*1/5= 40[/tex]

[tex]X^2_{H_0}= \frac{(26-40)^2}{40} +\frac{(44-40)^2}{40} +\frac{(42-40)^2}{40} +\frac{(60-40)^2}{40} +\frac{(28-40)^2}{40} = 11.5[/tex]

This test is one tailed and so is its p-value, under a Chi-square with 4 degrees of freedom p-value:  0.021484.

The p-value is less than the significance level so the decision is to reject the null hypothesis.

c. The industry with most complaints is the cellular phone providers

I hope this helps!

Answer:

2.178

hope it helps!

Answer:

2.718

______________________________

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let X be a random variable representing the prices paid for a particular model of HD television.

It is provided that X follows a normal distribution with mean, μ = $1600 and standard deviation, σ = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

[tex]P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})[/tex]

                   [tex]=P(Z>3)\\=1-P(Z<3)\\=1-0.99865\\=0.00135\\\approx 0.0014[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

[tex]P(X<1400)=P(\frac{X-\mu}{\sigma}<\frac{1400-1600}{100})[/tex]

                   [tex]=P(Z<-2)\\=1-P(Z<2)\\=1-0.97725\\=0.02275\\\approx 0.0228[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

[tex]P(1400<X<1600)=P(\frac{1400-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1600-1600}{100})[/tex]

                              [tex]=P(-2<Z<0)\\=P(Z<0)-P(Z<-2)\\=0.50-0.0228\\=0.4772\\\approx 0.48[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

[tex]P(1500<X<1700)=P(\frac{1500-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})[/tex]

                              [tex]=P(-1<Z<1)\\=P(Z<1)-P(Z<-1)\\=0.84134-0.15866\\=0.68268\\\approx 0.68[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

[tex]P(1600<X<1700)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})[/tex]

                              [tex]=P(0<Z<1)\\=P(Z<1)-P(Z<0)\\=0.84134-0.50\\=0.34134\\\approx 0.34[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

[tex]P(1600<X<1900)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1900-1600}{100})[/tex]

                              [tex]=P(0<Z<3)\\=P(Z<3)-P(Z<0)\\=0.99865-0.50\\=0.49865\\\approx 0.50[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

Answer:

Step-by-step explanation:

Answer: 22, 60

Step-by-step explanation:

x+ x + 38 = 82

2x + 38 = 82

2x = 82 - 38

x = 44 / 2 = 22

Answer: 22, 60

Step-by-step explanation:

We can use system of equations to solve this. Let's use 1 for one number and y for the second number.

Equation 1

x+y=82

Equation 2

x+38=y

Since we know what y is, we can substitute it into the first equation.

x+(x+38)=82

x+x+38=82

2x+38=82

2x=44

x=22

Now that we know x, we cna plug it into any equaiton to find y.

(22)+38=y

y=60

Answer: The answer has been attached below

Step-by-step explanation:

From the attached calculation, the amount payable in the first payment is cheaper than the amount payable for the second payment.

If both alternatives were presented to me by Indie incorporation after purchasing a sachet water machine from them, I'll choose the first method of payment.

Kindly check the attached file for the calculation which prompted the decision taken.

Answer:

[tex]71\frac{2}{3}[/tex]

Step-by-step explanation:

1st equation:

3 cups = 3x

3x = 75

x = 25, cup = 25

2d equation

25 + lemon* lemons= 25 + y²

25 + y² = 89

y²= 89 - 25

y²= 64

y = 8, lemon = 8

3d equation

3 circles = 3c

3c = 44

c = 44/3 = 14 2/3

4th equation

25 + 32 + 14 2/3 = 71 2/3

Answer: 427/3

Step-by-step explanation:

The 3 cups added together is equal to 75, therefore, we can establish that each cup is equal to 25.

Cup=25

With the second equation, we plug in 25 for the cup and solve for the circles.

25+ Ο×Ο= 89

Ο×Ο=64

Circle=8

For the third equation, we can find the amount for the ovals if we divide by 3.

Oval= 44/3

Now that we know the value of each picture, we can solve the fourth equation.

25+8×(44/3)=?

25+(352/3)=?

(75/3)+(352/3)=427/3

Answer:

48 cm

Step-by-step explanation:

Given:

Distance of rod from the wall = 45 cm

Distance of rod from the light = 15 cm

Length of rod = 12 cm

We can see that <DAM and <BAF are equal

Also, <DMA and <BFM are equal because they are corresponding angles

To find the length of the shadow, let's take the equation

[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]

Where.:

DM = ½ of length of the rod = ½*12 = 6

A.F = 15 + 45 = 60 cm

AM = 15 cm

Therefore,

[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]

[tex]= \frac{6}{BF} = \frac{15}{60} [/tex]

Cross multiplying, we have:

15 * B.F = 60 * 6

15 * B.F = 360

[tex]BF = \frac{360}{15}[/tex]

BF = 24 cm

The shadow on the wall =

2 * BF

= 2 * 24

= 48 cm

The shadow on the wall is 48 cm

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height [tex]= \frac{10}{4}[/tex]

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

[tex]A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}[/tex]

For, A to be greatest ,

[tex]\frac{dA}{dh} =0 = 10h-4h^{3}[/tex]

⇒ [tex]h[10-4h^{2} ]=0[/tex]

⇒ [tex]h^{2} =\frac{10}{4} {Since, h≠ 0}[/tex]

⇒ [tex]h = ±\frac{\sqrt{10} }{2}[/tex]

Therefore, from equation (3), k = 5 - h²

⇒ [tex]k=5-\frac{10}{4} =\frac{10}{4}[/tex]

Hence,

Width = 2h =√10 and

Height = [tex]k =\frac{10}{4}.[/tex]

Answer:andrew Jackson

Answer:

D

Step-by-step explanation:

thank the person above ☝☝☝

Edge 2021

Answer:

3/4 lbs more

Step-by-step explanation:

1 1/2 - 3/4 = 3/4

You need 3/4 lbs more coffee to have 1 1/2 lbs

Answer

D.

Explanation

mIH = 44

mIJ = 46

mJK = 77

ADDING THEM ALL TO FIND THE MEASURE OF m<HOK

<HOK = 44+46+77

<HOK = 167°