Solve for TV and SV. Select BOTH correct answers.
tv=8
sv=8√2
tv=8√2
sv-8

Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.

The proportion is found using a calculator, with three inputs:

In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.

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Answer:

I have no idea I am so sorrt

The best option is to take the 100 points because the expected value of the points from the scratch-off card is less than 100 points option (A) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Since, there is an equal number of cards of point 25, 100, and 120

P(x =25) = P(x =100) = P(x =200)  = 1/3

x:     25     100   120

P(x):   1/3    1/3     1/3

The expected value is:

E(x) = 25×(1/3) + 100×(1/3) + 125×(1/3)

E(x) = 245/3 < 300/3  = 100

Thus, the best option is to take the 100 points because the expected value of the points from the scratch-off card is less than 100 points option (A) is correct.

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Answer:

25/33

Step-by-step explanation:

Answer:

[tex]\frac{25}{33}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.7575..... (1) ← multiply both sides by 100

100x = 75.7575... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 75 ( divide both sides by 99 )

x = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex] ← in simplest form

Answer:

32/22

Step-by-step explanation:

X+3Y= 6--------(1) ×6

6X-6Y=4--------(2)×1

6X+18Y=36---------(3)

6X-6Y= 4-----------(4)

subtracting equation(4)from (3)

22X = 32

x= 32/22

Answer: a

Step-by-step explanation:

Answer:

2/5    or 0.4

Step-by-step explanation:   i'm smart

Problem 1

a = 2500 = starting amount

b = 1 + r = 1 + 0.035 = 1.035 = growth factor

The equation is [tex]y = 2500*1.035^x[/tex] as it is in the form [tex]y = a*b^x[/tex]

Plug in y = 5000 and solve for x.

[tex]y = 2500*1.035^x\\\\5000 = 2500*1.035^x\\\\1.035^x = 5000/2500\\\\1.035^x = 2\\\\\log(1.035^x) = \log(2)\\\\x\log(1.035) = \log(2)\\\\x = \log(2)/\log(1.035)\\\\x \approx 20.148792\\\\x \approx 21\\\\[/tex]

I rounded up to get over the hurdle. This is because plugging x = 20 will lead to y being smaller than $5000, so we must use x = 21.

=========================================================

Problem 2

a = 4.22 = starting amount

b = 1 + r = 1 + 0.031 = 1.031 = growth factor

The equation goes from [tex]y = a*b^x[/tex] to [tex]y = 4.22*1.031^x[/tex]

Plug in y = 9.33 and solve for x.

[tex]y = 4.22*1.031^x\\\\9.33 = 4.22*1.031^x\\\\1.031^x = 9.33/4.22\\\\1.031^x \approx 2.21090047393365\\\\\log(1.031^x) \approx \log(2.21090047393365)\\\\x\log(1.031) \approx \log(2.21090047393365)\\\\x \approx \log(2.21090047393365)/\log(1.031)\\\\x \approx 25.9882262216245\\\\x \approx 26\\\\[/tex]

=========================================================

Problem 3

a = 400 = initial value

b = 1 + r = 1 + 0.25 = 1.25 = growth factor

The template [tex]y = a*b^x[/tex] updates to [tex]y = 400*1.25^x[/tex]

Plug in y = 3000 and isolate x.

[tex]y = 400*1.25^x\\\\3000 = 400*1.25^x\\\\1.25^x = 3000/400\\\\1.25^x = 7.5\\\\\log(1.25^x) = \log(7.5)\\\\x\log(1.25) = \log(7.5)\\\\x = \log(7.5)/\log(1.25)\\\\x \approx 9.029627\\\\x \approx 10\\\\[/tex]

Like with the first problem, I rounded up to the nearest whole number. If you tried out x = 9, then y = 2980 approximately which is short of the goal of 3000. Trying x = 10 leads to y = 3725 approximately, which is now over the goal we're after.

[tex]\\ \rm\Rrightarrow P=P_o(1+r)^t[/tex]

[tex]\\ \rm\Rrightarrow 5000=2500(1+0.035)^t[/tex]

[tex]\\ \rm\Rrightarrow 2=1.035^t[/tex]

[tex]\\ \rm\Rrightarrow log2=log1.035^t[/tex]

[tex]\\ \rm\Rrightarrow log2=tlog1.035[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{log2}{log1.035}[/tex]

[tex]\\ \rm\Rrightarrow t=20.15[/tex]

We can't take 20 as it can cause depict in price .

#2

[tex]\\ \rm\Rrightarrow 9.33=4.22(1+0.031)^t[/tex]

[tex]\\ \rm\Rrightarrow 9.33=4.22(1.031)^t[/tex]

[tex]\\ \rm\Rrightarrow 1.031^t=2.21[/tex]

[tex]\\ \rm\Rrightarrow log1.031^t=log2.21[/tex]

[tex]\\ \rm\Rrightarrow tlog1.031=log2.21[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{log2.21}{log1.031}[/tex]

[tex]\\ \rm\Rrightarrow t=25.97\approx 26[/tex]

#3

[tex]\\ \rm\Rrightarrow 3000=400(1+0.25)^t[/tex]

[tex]\\ \rm\Rrightarrow 30/4=1.25^t[/tex]

[tex]\\ \rm\Rrightarrow 7.5=1.25^t[/tex]

[tex]\\ \rm\Rrightarrow log7.5=log1.25^t[/tex]

[tex]\\ \rm\Rrightarrow log7.5=tlog1.25[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{log7.5}{log1.25}[/tex]

[tex]\\ \rm\Rrightarrow t=9.03[/tex]

Same like first case

Find vertex

So

The graph shifted 3 units right.

So new translation

Find y intercept

But it's at (0,1) approximately

So compression factor

Now last equation

Find value

So compression factor

So accurate equation is

Answer:

[tex]g(x)=\dfrac{2}{7}|x-3|[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

-----------------------------------------------------------------------------------------

Parent function:   [tex]f(x)=|x|[/tex]

The vertex of the parent function is at (0, 0) as  [tex]f(0)=|0|=0[/tex]

From inspection of the graph, the vertex of the transformed function is at (3, 0).  Therefore, there has been a translation of 3 units right:  

[tex]\implies g(x)=f(x-3)=|x-3|[/tex]

(There has not been any vertical translation since the y-value of the vertex of the parent function and the translated function is the same)

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies g(x)=a\:f(x-3)=a|x-3|[/tex]

The line goes through points (10, 2) and (-4, 2).

Substituting one of these points to find a:

[tex]\implies a|10-3|=2[/tex]

[tex]\implies 7a=2[/tex]

[tex]\implies a=\dfrac{2}{7}[/tex]

Therefore,

[tex]g(x)=\dfrac{2}{7}|x-3|[/tex]

Answer:

141.37 ft^3

Step-by-step explanation:

No question was asked, but based off of the given information, I will assume you want to know the volume of the circular cylinder.

The volume of a circular cylinder is: v=(π)(r^2)(h)

r=3

h=5

v=(π)(3^2)(5)

v = 141.37

Answer:

Step-by-step explanation:

3x^2(x +2) = 3x^3 + 6x^2 is the answer

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

[tex]y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4[/tex]

Answer: ac bd be 2bd

Step-by-step explanation: addion

Answer: 0.5 and 2/4

Step-by-step explanation:

we know that

the dimensions of the first garden are------> 5 ft x 3 ft

perimeter first garden=2*[5+3]-----> 16 ft

the dimensions of the second garden are---> (5*2) ft x (3*2) ft

10 ft x 6 ft

perimeter second garden=2*[10+6]-----> 32 ft

so

The answer is

32

Answer:

20

Step-by-step explanation:

28 + 8 = 36

36 - 13 = 23

23 - 3 = 20

Answer:

Step-by-step explanation:

Students with 1 to 3 pairs of shoes:

Students with 13 - 15 pairs of shoes:

Solve 32 - 4:

Answer:

[tex]\boxed{\sf distance \: between \: the \: objects \: \: is \: 2.5 \: cm}[/tex]

Step-by-step explanation:

According to universal law of gravitation every object in the universe attracts every other particles that surrounds it with a force which is inversely proportional to the square of their distance of separation & directly proportional to

the product of their masses, given by standard formula.

[tex]A = G \cdot \frac{m_1.m_2}{ {d}^{2} } [/tex]

where A,d & G are force of attraction, distance of separation & proportionality constant respectively.

Given:

A1 = 2 units

d1= 5 cm

A2 = 8 units

To find:

Distance of separation when the force of attraction is 8 units d2 = ?

Solution:

Substituting the given values in above at each point,

[tex]A_1 = G \cdot \frac{m_1.m_2}{ {d_1}^{2} } \\ 2 = G \cdot \frac{m_1.m_2}{ {5}^{2} } \\ \sf similarly \: at \: second \: point \: of \: attraction \\ A_2 = G \cdot \frac{m_1.m_2}{ {d_2}^{2} } \\ 8 = G \cdot \frac{m_1.m_2}{ {d_2}^{2} } \\ \sf \: \: dividing \: both \: of \: the \: equation \\ \frac{2}{8} = \frac{G \cdot \frac{m_1.m_2}{ {5}^{2} }}{G \cdot \frac{m_1.m_2}{ {d_2}^{2} } } \\ \sf \: G \: m_1 and \: m_2 \: are \: \: constant \: hence \\ \sf they \: can \: be \: cancelled \: out \\ \frac{2}{8} = \frac{ \frac{1}{ {5}^{2} } }{ \frac{1}{ {d_2}^{2} } } \\ \sf rearranging \: above \: equation \\ \frac{1}{4} = \frac{{d_2}^{2} }{ {5}^{2} } \\ {d_2}^{2} = \frac{ {5}^{2} }{4 } \\ {d_2}^{2} = \frac{25}{4} \\ {d_2}^{2} = 6.25 \\ \sqrt{{d_2}^{2} } = \sqrt{6.25} \\ \boxed{ \sf{d_2} = 2.5 \: cm}[/tex]

Answer: the distance between the two objects is 2.5 cm, if the attraction between them is 8 units.

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Since we can choose 4 of the 15 toppings, we can order 1365 different types of pizzas with 4 toppings

Since the question says 'choose', it is a combination question and order is not important.

This is the number of ways in which x objects can be selected from n objects.

It is given mathematically as ⁿCₓ = n!/[r!(n - r)!]

Now given that we have 15 toppings for pizza and we want to choose any 4, So, we are choosing 15 toppings in 4 ways. So,

So, ¹⁵C₄ = 15!/4!(15 - 4)!

= 15!/4!11!

= 15 × 14 × 13 × 12 × 11!/4!11!

= 15 × 14 × 13 × 12/24

= 15 × 7 × 13

= 1365 ways

So, we can order 1365 different types of pizzas with 4 toppings

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Answer:

The police caught the bank robbers(passive)

Answer:

1. it's False because the radian measure of an angle is the length..

Transcribed image text: h of the following statements as true or false. replace lace the underlined word(s) or expression to produce a true statement. The radian measure of an angle equals the length of the arc it intercepts.on the Any degree measure can be converted to radians 180 by by _. To construct the inverse of a trigonometric function, the function must be restricted to a domain on which the function is either always increasing or The length of an arc intercepted by an angle is proportional to the radius; therefore, a central angle of - in a circle with radius k will intercept an an with length kt A triangle with side lengths 7, 11.and 14 has an area of 120-21 Area : Jlo (16-706-Ingen llo

Step-by-step explanation:

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Using the formula for calculating the area of a rhombus, the length of /AC/ is 44 units

From the question, we are to determine the length of AC

The area of a rhombus is given by

[tex]A = \frac{pq}{2}[/tex]

Where A is the area

p and q are the diagonals

Then, for the given diagram,

[tex]A = \frac{/DB/ \times /AC/}{2}[/tex]

From the given information,

A = 264 square units

/DB/ = 12 units

∴ [tex]264 = \frac{12\times /AC/}{2}[/tex]

[tex]264 = 6\times /AC/[/tex]

[tex]/AC/ = \frac{264}{6}[/tex]

/AC/ = 44 units

Hence, the length of /AC/ is 44 units

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Answer:

4 > 32

Step-by-step explanation:

The variable x represents how much each of Darren's burgers will weigh. Since he will form 4 burgers of equal weight, the expression 4x represents the total weight of the burgers.

And, since Darren will use more than 32 ounces of burger mix, 4x must be greater than 32.

This inequality shows the relationship.

4x > 32

Now, solve for x.

4x > 32

4x/4 32/4

divide 32 by 4

So the answer is x > 8

A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles

The given parameters are:

The area of each small triangle is:

Area = 0.5 square unit

Multiply both sides by 2

2 * Area of triangle = 1 square unit

Substitute Area of square = 1 square unit

2 * Area of triangle = Area of square

This means that a new shape can be formed by combining two small triangles

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First, i will multiply 122,222 x 0.09 which is equal to 10,999.98 Then, i will subtract 10,999.98 from 122,222 which is equal to 111,222.02. so the direct marketing sales this year are 111,222.02.

Answer:

1) 2

2) 4

3) 3

4) 1

Step-by-step explanation:

8/4 is 2

8/2 is 4

3/1 is pretty simply 3

And lastly (and kind of least)...

3/3 is 1

Hope this helped you out!

Answer:

h ≥ 8 cm

Step-by-step explanation:

Solving :

V ≥ 32 cm³

a = 4 cm²

h ≥ 32/4

h ≥ 8 cm

Answer:

[tex](x-5)^2+(y-1)^2=20[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

[tex]\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2[/tex]

[tex]\implies (x-5)^2+(y-1)^2=20[/tex]

Answer:

12 red balls

4 yellow balls

2 blue balls

2 green balls

Step-by-step explanation:

set no. of yellow, blue, red and green ball as y, b, r, g respectively

y=2b

r=3y

g=b

y+b+r+g = 20 (translate all of them into b (smallest in qty)

2b + b + 3(2b) + b = 20

10b = 20

b =2

y = 4, r = 12, b =2, g =2