How much should you put in an investment paying simple interest rate of 8% if you need 4000 in six months?

Answer:

Possibly 3

Step-by-step explanation:

Lets say

g=girls

b=boys

1st option: gbbbg

2nd option: bbbgg

3rd option: ggbbb

Answer:

How about 100 adults and 100 students?

Step-by-step explanation:

Could you respond?

Using the normal distribution and the central limit theorem, we have that:

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 60, \sigma = 11, n = 12, s = \frac{11}{\sqrt{12}} = 3.1754[/tex].

Hence:

The probabilities are given by the p-value of Z when X = 61.2 subtracted by the p-value of Z when X = 59.3, hence, for a single individual:

X = 61.2:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{61.2 - 60}{11}[/tex]

Z = 0.11

Z = 0.11 has a p-value of 0.5398.

X = 59.3:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{59.3 - 60}{11}[/tex]

Z = -0.06

Z = -0.06 has a p-value of 0.4761.

0.5398 - 0.4761 = 0.0637.

0.0637 = 6.37% probability that a single person consumes between 59.3 mL and 61.2 mL.

For the sample of 12, we have that:

X = 61.2:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{61.2 - 60}{3.1754}[/tex]

Z = 0.38

Z = 0.38 has a p-value of 0.6480.

X = 59.3:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{59.3 - 60}{3.1754}[/tex]

Z = -0.22

Z = -0.22 has a p-value of 0.4129.

0.6480 - 0.4129 = 0.2351 = 23.51% probability that the sample mean of the consumption of 12 people is between 59.3 mL and 61.2 mL. Since the sample size is less than 30, a normal distribution has to be assumed.

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After calculation, the composite function f(g(0)) returns the value 2 as the response.

Given, the values of the functions are:

f(x) = √₋x₊1 and g(x) = ₋x₋3

we need to find f(g(0)) = ?

F of g of x is another name for a composite function. Normal representations include f(g(x)) or (f g)(x), which denote that x = g(x) should be used in place of f(x). While the function g (x) is referred to as an inner function, the function f (x) is referred to as an outer function.

It means that every instance of an x in the function f is replaced with the function g(x).

∵ g(x) = ₋x₋3  so we can substitute this in the following expression:

  g(0) = -(0) ₋ 3

    g(0) = ₋3

Now in place of g(0) we can write ₋3, hence the changed expression becomes:

f(g(0)) = f(₋3)

          = √₋(₋3)₊1

          = √4

∴ f(g(0)) = 2

Hence we get the calculated function value as 2.

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Answer:

We say sets A and B are equal, and write A = B if they have exactly the same elements.

Step-by-step explanation:

Answer:

When set A is equal to set B. It is denoted as A = B.

Have a nice day!

Hello :

The difference of the price of the shoes and 5 dollars is p - 5.

One of the two equations required in the system of equations needed to determine the dollar amount of phone and computer sales Houa made is y = x + 600.

Let x represents the dollar amount of phone sales Houa made, and y represents the dollar amount of computer sales she made.

Therefore, a system of equations that could be used to determine x and y can be written as follows:

y = x + 600 ........................................................... (1)

0.04x + 0.05y = 129 ......................................... (2)

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The dilation scale factor used to form polygon K'T'P'J' from polygon KTPJ is 1/2

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in size of a figure by a scale factor.

The scale factor of the image = K'T'/KT = 1/2 ÷ 1 = 1/2

The dilation scale factor used to form polygon K'T'P'J' from polygon KTPJ is 1/2

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Answer:

second graph

Step-by-step explanation:

looking at the y intercept. 12 is y int

Answer:

Second line

Step-by-step explanation:

our equation rearranged is y=-3x+12

meaning that y-intercept is 12, that is where the line cuts the y axis

we find that the second line cuts the y axis around that 12 therefore it is the most relevant line here

[tex]\huge\boxed{\textsf{A.}\ 78.5\ \text{in}^2}[/tex]

Correction to your question text: diameter, not radius.

The area of a circle is given by:

[tex]A=\pi r^2[/tex]

The radius is half of the diameter.

[tex]A=\pi\cdot\left(\dfrac{10}{2}\right)^2[/tex]

Substitute and solve.

[tex]\begin{aligned}A&=\pi\cdot\left(\frac{10}{2}\right)^2\\&=\pi\cdot5^2\\&=\pi\cdot25\\&\approx\boxed{78.5}\end{aligned}[/tex]

Answer:

c. 12km/hr

Step-by-step explanation:

Speed = distance/time

Coffee shop: Divide distance traveled by time taken to get the speed in km/min, then convert minutes to hours, and finally simplify to calculate the speed in km/hr

4km/20min * 60min/1hr = 240km/20hr = 12km/1hr = 12km/hr

Other shop: Same task, in the question it already says he is traveling at the same rate so this is only useful to check your answer

10km/50min * 60min/1hr = 600km/50min = 12km/1hr = 12km/hr

The environmental threat in Japan and Korea that threatens food security is: B. soil erosion.

Soil erosion can be defined as the washing away of the top soil that supports plants growth and also contains vital nutrients for plants growth.

Crops are grown majorly on land. The disruption of soil nutrients by soil erosion poses a serious environmental threat to food security in both Japan and Korea. Therefore, the answer is: B. soil erosion.

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Answer:

Step-by-step explanation:

Answer:

use a sin cos tan calculator.

Step-by-step explanation

on calculator

2nd tan

tan x = 30/8

there's ur answer

18 + 5 + 23=46

Step-by-step explanation:

Answer:

1238

Step-by-step explanation:

Step-by-step explanation:

hggggggggggggggggggggg

Answer:

y=12

Step-by-step explanation:

30,60,90 triangle

8*rad3=8rad3

8rad3/2=4rad3

4rad3*rad3=12

Answer:

(-1, 5)

Step-by-step explanation:

Midpoint between two points

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

Define the endpoints:

Substitute the defined points into the formula:

[tex]\begin{aligned}\implies \textsf{Midpoint} & =\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\\\\ & =\left(\dfrac{0+(-2)}{2},\dfrac{9+1}{2}\right)\\\\& =\left(\dfrac{-2}{2},\dfrac{10}{2}\right)\\\\& =\left(-1,5\right)\end{aligned}[/tex]

Therefore, the midpoint of the segment with endpoints (-2, 1) and (0, 9) is (-1, 5).

The regression equation of the table is y = 5.71x + 27.6

From the table of values, we have the following parameters:

[tex]\sum x = 1193[/tex]

[tex]\sum y = 6950[/tex]

[tex]\sum x^2 = 346337[/tex]

[tex]\sum xy = 2010500[/tex]

Calculate A using

[tex]A = \frac{\sum y * \sum x^2 - \sum x * \sum xy}{n\sum x^2 - (\sum x)^2}[/tex]

This gives

[tex]A = \frac{6950 * 346337 - 1193 * 2010500}{5 * 346337 - (1193)^2}[/tex]

Evaluate

[tex]A = \frac{8515650}{308436}[/tex]

Divide

A = 27.6

Calculate B using

[tex]B = \frac{n\sum xy - \sum x * \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

This gives

[tex]B = \frac{5 * 2010500 - 1193 * 6950}{5 * 346337 - (1193)^2}[/tex]

Evaluate

[tex]B = \frac{1761150}{308436}[/tex]

Divide

B = 5.71

The regression equation is represented as:

y = Bx + A

So, we have

y = 5.71x + 27.6

Hence, the regression equation of the table is y = 5.71x + 27.6

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Answer:

9. 3 acute angles

10: a) Acute Isosceles

     b) Acute Scalene  

Step-by-step explanation:

9:  Sum of Interior angle theorem: Sum of the interior angles of a Triangle = 180°

An Acute angle is a angle that is less than 90°

the sum of the two acute angles must be less than 180°

The base angles of an isosceles triangle are congruent.

So For example,

the base angles of the isosceles are ∠1 and ∠2

Lets make the three angle measure closer:

if ∠1 = 46° then ∠2 also have to be 46° and ∠3 = 88°

all three angle are less than 90° and two angles are congruent.

Using a calculator, the quadratic regression equation that fits the data is:

C. y = 2.13x² + 0.13x + 6.39

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are:

(-4,40), (-3,28), (-2, 10), (-1, 8), (0,7), (1,10), (2,16), (3,26), (4,40).

Hence the equation is:

C. y = 2.13x² + 0.13x + 6.39

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let width be 'x'

according to the question,

length = 4x

perimeter = 100 cm

we know ,

perimeter of rectangle = 2(l+b)

100= 2(4x+x)

100= 10x

x= 10

then length = 4x = 4×10= 40

and , area of rectangle = l×b

= 40 × 10 = 400

area of rectangle is 400cm

Answer:

Step-by-step explanation:

let width=x

length=4x

2(x+4x)=100

2×5x=100

x=100/10=10

width=10 cm

length=4×10=40 cm

area=l×b=40×10=400 cm²

The set of transformations that could be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°

"It is a geometric transformation where all the points of an object are reflected on the line of reflection."

For the given question,

The Rectangle ABCD is formed by ordered pairs A at (-4, 2), B at (-4, 1), C at (-1, 1), D at (-1, 2)

The Rectangle A″B″C″D″ is formed by ordered pairs A" at (-4, -2), B" at   (-4, -1), C" at (-1, -1) and D" at (-1, -2)

We can observe that the coordinates of ABCD are of the form (-x, y)  where x, and y, are positive numbers

The form of the ordered pair of the vertices of the A″B″C″D″ will be (-x, -y)

The coordinates of the point (-x, y) after a reflection over the y-axis would be of the form (x, y)

And after rotation of 180°, the coordinates would be (-x -y).

Hence, the set of transformations that could be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°.

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By applying Cathetus theorem, the value of x is equal to 10 units.

In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.

In this context, we have:

x² = m × a

x² = (21 + 4) × 4

x² = 25 × 4

x² = 100

x = √100

x = 10 units.

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As the sample size n is less than 30 normal distribution is used.

The values of x are converted into z by using the formula z= x-u/ s and then the z values are found out from the table.

The limits are found by using the formula x±σz or x±sz where s= σ

As the sample size is 10 which is less than 30 the normal distribution is used.

The probability of x< 2.59 is 0.3446

The probability 2.60<X <2.63 is 0.9484

So lower and upper limits are 2.607 and 2.612

Part A

As the sample size is 10 which is less than 30 the normal distribution is used.

Part B

For given value of x= 2.59 z is obtained =0.4

x= 2.59

z= x-u/ s

z= 2.59-2.61/0.05

z= -0.02/0.05

z=- 0.4

P (X<2.59) = P(-0.4 <Z<0) = 0.5 -0.1554= 0.3446

The probability of x< 2.59 is 0.3446

Part C

For two given values of x= 2.60 and 2.63 z is obtained as =0.2 and 0.4

x1= 2.60

z1= x-u/ s

z= 2.60-2.61/0.05

z= -0.01/0.05

z=- 0.2

x2= 2.63

z2= x-u/ s

z= 2.63-2.61/0.05

z= 0.02/0.05

z= 0.4

P (2.60<X<2.63) = P(-0.2 <Z<0.4)

= P(-0.2 <Z<0)+ P(0 <Z<0.4)

=0.793 + 0.1554= 0.9484

The probability 2.60<X <2.63 is 0.9484

Part D"

p= 0.57

From the table z= 0.045

z= x-u/ s

zs= x-u

zs+u = x

x1= 0.045*0.05 +2.61= 2.61225

x2= 2.61- 0.00225= 2.60775

So lower and upper limits are 2.607 and 2.612

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The solution to the system of equations are (-1.7, 3.1) and (4.1, 5.8)

The equations are given as:

[tex]f(x)=\sqrt{5x+25}-1[/tex]

[tex]g(x)=x^2-2x-3[/tex]

Next, we plot the graph of the equations (see attachment)

From the attached graph, we can see that both equations intersect at (-1.7, 3.1) and (4.1, 5.8)

Hence, the solution to the system of equations are (-1.7, 3.1) and (4.1, 5.8)

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Answer:

(-5-5x)/(4x+3

Step-by-step explanation:

Replace x with y to get (-3y-5)/(4y+5). Solve for y to get (-5-5x)/(4x+3).

Answer: 80.28 square feet

Step-by-step explanation:

[tex]2(6.1\cdot 3+3\cdot 2.4+2.4 \cdot 6.1)=80.28[/tex]

The table of inputs that satisfy the given function is (-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function f(x) = -5(x + 7)

When x = -2; f(-2) = -5(-2 + 7) = -25

When x = -1; f(-1) = -5(-1 + 7) = -30

When x = 0; f(0) = -5(0 + 7) = -35

When x = 1; f(1) = -5(1 + 7) = -40

When x = 2; f(2) = -5(2 + 7) = -45

The table of inputs that satisfy the given function is (-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).

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