7. Which of the following is NOT a unit of volume?
square meter
pint milliliter
cubic meter

Answer:

A is -8

B 27

x 3

y 6

z 12

step by step explanation:

Answer:

Step-by-step explanation:

2

Answer: FOR THE SECOND ONE, 1.03 x  ⋅  10^4    =  10300 x

mL= 10300x

L=10300x

I am so sorry if its wrong!

Step-by-step explanation: I dont know what the first one is and its not converting properly

Answer:

Step-by-step explanation:x+y+z=100(let x ,y,z represent the first second and third numbers respectively)

Therefore,y=2z

z=x-8

y=2x-16

substituting the values of x,y and z into the question,we have

x+(2x-16)+(x-8)=100

Simplifying,we have

4x-24=100

adding 24 to both sides of the equation,

4x=100+24

4x=124

dividing both sides of the equation by the co-efficient of x,we have

4x/4=124/4

4.31=124

therefore,x=31.

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- \(\sqrt{4.5^2 - 4 * 1 * -450}\)/2

=-4.5 + - \(\sqrt{1820.25}\) / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4

The given relationship is such that 1 / z⁴ = z ⁻⁴.

When given 1 / z⁴, this can be rewritten in such a way that it becomes z ⁻⁴.

This is because when a denominator is raised to a exponent , it can be transformed to a numerator if the sign on the power is changed to the negative.

This means that when the fraction was 1 / z⁴, it can become the value of z ⁻⁴ because the negative in front of the 4 shows that it is a fraction.

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Answer:

The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.

Step-by-step explanation:

Answer:

1 3/16 inches

Step-by-step explanation:

3 3/4 = (3+12) / 4

2 9/16 = ( 9+ 32) / 16

15 / 4 - 41/ 16 make the denominators equal

15 × 4 / 4×4 - 41/ 16

= 60/16 - 41/16

= 19/16 convert it to Fractional number

= 16 + 3 / 16 = 1 3/16

To be profitable and ensure your finances are healthy, look at both your total revenue as well as your net revenue.

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a = the initial value

b = the growth factor

k = the exponent

The given equation is an exponential equation

It is expressed as:

a = the initial value

b = the growth factor

k = the exponent

Answer:

Step-by-step explanation:

The expected value of this distribution will be the Mean

upon calculation

For the distribution of C

1)   P(x=xi)  0    1          2        3       4

              0    0.20   0.20  0.20  0.20

\(Mean = Pi*xi\)

           = 0*0+1*0.2+2*0.2+3*0.2+4*0.2

Mean    = 2

2) Standard deviation of C

        \(\sqrt{(xi-mean)^2 *P(xi)}\)

        = 1.09

For the distribution of D

1)       P(x=xi)    0    1       2      3      4

                     0    0.1   0.4   0.2  0.1

\(Mean = Pi*xi\)

          = 1.9

2) Standard deviation

       = 0.984

Upon comparing the result we observe that

C has greater expected value than D

C has greater standard deviation than D which means it is more spreading of the given data than D.

The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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Answer:

Triangle ABC has vertices A(0, 0), B(5, 2) and C(7,-3).

Show that ABC is isosceles.

If a triangle has vertices \(A(-2,4), \ B(6,2)\) and \(C(1,-1)\) then \(\triangle ABC\) is an isosceles right triangle.

An Isosceles Right Triangle is a right triangle that have two equal sides.

To know whether it is Isosceles Right Triangle or not we will use ,

Distance formula \(= \sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2}}\)

We have,

Vertices \(A(-2,4), \ B(6,2)\) and \(C(1,-1)\) of  \(\triangle ABC\).

So

To find \(AB\) coordinates of \(A\) and \(B\) will be used and so on;

\(AB=\sqrt{(6-(-2))^{2} +(2-4)^2} \ =\sqrt{(8)^2+ (-2)^2} \ = \sqrt{64+4} = \sqrt{68}\)

\(BC=\sqrt{(1-6)^{2} +(-1-2)^2} \ =\sqrt{(-5)^2+ (-3)^2} \ = \sqrt{25+9} = \sqrt{34}\)

\(AC=\sqrt{(1-(-2))^{2} +(-1-4)^2} \ =\sqrt{(3)^2+ (-5)^2} \ = \sqrt{9+25} = \sqrt{34}\)

Here,

\(BC=AC\) which means that two sides of  \(\triangle ABC\)  are equal i.e. it is isosceles triangle.

And,

Using Pythagoras theorem;

\(AC^2+BC^2=AB^2\)

\((\sqrt{34} )^2+(\sqrt{34} )^2=(\sqrt{68} )^2\)

\(34+34=68\)

\(68=68\)

So, this is satisfying the Pythagoras theorem.

So, this is Isosceles Right Triangle because it is satisfying the Pythagoras theorem and property of isosceles triangle..

Hence, we can say that if a triangle has vertices \(A(-2,4), \ B(6,2)\) and \(C(1,-1)\) then \(\triangle ABC\) is an isosceles right triangle.

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Answer:

The probability that the sample mean is less than 50 points = 0.002    

Step-by-step explanation:

Step(i):-

Given mean of the normal distribution = 56 points

Given standard deviation of the normal distribution = 12 points

Random sample size 'n' = 36 games

Step(ii):-

Let x⁻ be the random variable of normal distribution

Let x⁻ = 50

\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

\(Z = \frac{50-56 }{\frac{12}{\sqrt{36} } }= -3\)

The probability that the sample mean is less than 50 points

P( x⁻≤ 50) = P( Z≤-3)

                = 0.5 - P(-3 <z<0)

               = 0.5 -P(0<z<3)

               =  0.5 - 0.498

               = 0.002

Final answer:-

The probability that the sample mean is less than 50 points = 0.002

Answer:

56

2

.001

Step-by-step explanation:

The Central Limit Theorem for Means states that the mean of any sampling distribution of the means is equal to the mean of the population distribution. The standard deviation is equal to the standard deviation of the population divided by the square root of the sample size. So, the mean of this sampling distribution of the means with sample size 36 is 56 points and the standard deviation is 1236√=2 points. The z-score for 50 using the formula z=x¯¯¯−μσ is −3.

z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09

-3.0 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001

-2.9 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001

-2.8 0.003 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002

-2.7 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003

-2.6 0.005 0.005 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004

-2.5 0.006 0.006 0.006 0.006 0.006 0.005 0.005 0.005 0.005 0.005

Using the Standard Normal Table, the area to the left of −3 is approximately 0.001. Therefore, the probability that the sample mean will be less than 50 points is approximately 0.001.

Answer:

Step-by-step explanation:

This is a proof.  You need to use theorems and definitions to get to your answer.  You cannot make any assumptions without a definition for it.  You can you use the information that you have proven from previous statements.

m<1 = m<2                               Given

QP = QR                                   Given

m<3 = m<4                               Vertical Angles

m<1 + m<3 + m<P = 180          Triangle Sum Theorem

m<P = 180 - m<1 - m<3            Subtraction

m<P = 180 - m<2 - m<3           Substitution

m<2 + m<4 + m<R = 180         Triangle Sum Theorem

m<R = 180 - m<2 - m<4           Subtraction

m<R = 180 - m<2 - m<3           Substitution

m<P = m<R                               Transitive

m<Q = m<Q                             Reflexive

ΔQTP ≅ ΔQTR                        ASA

We proved that the triangles are congruent by proving an angle, a side and another angle are the same.

<Q and <Q same

QR and QP same, this was give

<R = <P same through proof    

Answer:

A = 0.50x+20

B= 0.75x+22

4 games

$19

Step-by-step explanation:

For abbey, the 20 dollars she starts with is the initial value. the 50 cents per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be A = 0.50x + 20. For Bianca, the 22 dollars she starts with is her initial value. the 75 centers per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be B = 0.75x + 22.

We can find out when they will have the same amount of money left by making two small tables -> one for abbey and one for Bianca.

Abbey: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)

Bianca: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)

For both girls after four games, they have the same amount of money- $19.

Answer:

8x - 2

Step-by-step explanation:

2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= 2x + 3 - 5 + 6x ← collect like terms

= (2x + 6x) + (3 - 5)

= 8x + (- 2)

= 8x - 2

Answer:

f(x) = (x - 3)(x - 4)

Step-by-step explanation:

f(x)= x^2 -7x +12 factors immediately into f(x) = (x - 3)(x - 4

The roots are 3,4

Answer:

A, B, and E apply

Step-by-step explanation:

One thing we can do is to make everything in the same format, under one square root, with no non-square roots.

First, we can say that 6 is equal to √36 as 6² =36, and 6 ≥ 0. Therefore, 6√3 = √36 * √3 = √108

For A, √3 * √36 = √108, so this applies

For B, √18 * √6 = √108, so this applies

For C, 108² = √something bigger than 108 = √11664, so this does not apply

For D, √54 ≠ √108, so this does not apply

For E, √108 = √108, so this applies

For F, √3 * √6 = √18, so this does not apply

Here, given the one of the endpoint of the segment and the midpoint of the segment, we are to find the coordinates of the other endpoint

Mathematically, the equation to find the mid point given the end point of the segment is given as follows;

From the question, we can say;

(x,)

Answer:

b=69(alternate angle)

b=37(alternate angle)

The magnitude of the car's acceleration when s=100m and x=0 is 3.49 \(m/s^2\) evaluated using the kinematic equation of motion.

We can use the kinematic equation of motion to determine the acceleration of the car at the given distance:

\(s = ut + (1/2)at^2\)

where s=distance traveled, u = initial velocity, a =acceleration, and t =

time taken.

We can rewrite this equation as:

\(t = (2s/u)^(1/2)\)

Substituting the given values, we get:

\(t = (2(100)/20)^(1/2)\) = 2.236 seconds

Now, we can use the kinematic equation:

v = u + at

where v is the final velocity.

We know the initial velocity u is 20 m/s, and the car's acceleration At=0.5 \(m/s^2\). To find the final velocity, we can use the kinematic equation again:

\(s = ut + (1/2)at^2 + vt\)

Rearranging and substituting the given values, we get:

\(v = (s - ut - (1/2)at^2) / t\)

v = (100 - (20)(2.236) - (1/2)(0.5)(2.236)^2) / 2.236

v = 27.839 m/s

Now we can evaluate the acceleration using the equation:

a = (v-u) / t

Substituting the given values, we get:

a = (27.839 - 20) / 2.236

a = 3.49\(m/s^2\) (rounded to two decimal places)

Therefore, the magnitude of the car's acceleration when s=100m and x=0 is 3.49 \(m/s^2.\)

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12 x (3 / 8)

9 / 2 <= improper form

\(4\frac{1}{2}\) <= mixed form

Answe

12×\(\frac{3}{8}\)=4\(\frac{1}{2}\)

Step-by-step explanation:

a) There are 16 x 27 = 432 different ways to answer the entire test.

b) The probability is 1/432.

c) The probability is 1/54.

d) The probability is 53/54.

(a) Since there are 4 true/false questions and 2 choices for each question, there are\(2^4 = 16\) ways to answer these questions. Similarly, there are 3 multiple choice questions with 3 choices each, so there are \(3^3 = 27\) ways to answer these questions.

(b) If a person randomly guesses an answer for each question, the probability of getting all 4 true/false questions correct is \((1/2)^4 = 1/16,\)and the probability of getting all 3 multiple choice questions correct is \((1/3)^3 = 1/27.\) To find the probability of getting all questions correct, we multiply these probabilities: (1/16) x (1/27) = 1/432.

(c) Similarly, the probability of getting all 4 true/false questions wrong is also\((1/2)^4 = 1/16\), and the probability of getting all 3 multiple choice questions wrong is \((2/3)^3 = 8/27\). To find the probability of getting all questions wrong, we multiply these probabilities: (1/16) x (8/27) = 1/54.

(d) The probability of not getting any answer correct is the same as getting all answers wrong, which we found to be 1/54. Therefore, the probability of getting at least one answer correct is 1 - 1/54 = 53/54.

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the new ratiο after decreasing 72 in the ratiο οf 7:18 is apprοximately 7:16.56.

Tο decrease 72 in the ratiο οf 7:18, we need tο determine hοw much οf the 7:18 ratiο 72 represents.

First, we need tο find the tοtal number οf parts in the ratiο 7:18. This can be fοund by adding the twο numbers in the ratiο:

7 + 18 = 25

Sο the ratiο 7:18 represents a tοtal οf 25 parts.

Next, we need tο determine hοw much οf the 25 parts 72 represents. Tο dο this, we set up a prοpοrtiοn:

x/25 = 72/1

where x is the number οf parts that 72 represents.

We can sοlve fοr x by crοss-multiplying:

x = 25 * 72 / 1

x = 1800

Sο 72 represents 1800/25 = 72 parts in the ratiο 7:18.

Tο decrease 72 in the ratiο 7:18, we need tο subtract 72 parts frοm the 18 parts in the ratiο:

18 - 72/25 = 16.56 (rοunded tο twο decimal places)

Therefοre, the new ratiο after decreasing 72 in the ratiο οf 7:18 is apprοximately 7:16.56.

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Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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The odds ratio of income is 1.00320, rounded to 5 decimal places.

The odds ratio of income can be calculated using the formula given below:

odds ratio = odds of personal loan when income increases by 1 unit

Odds of a personal loan is the ratio of probability of acceptance to probability of rejection.

Odds of personal loan = P(personal loan=yes) / P(personal loan=no)P(personal loan=yes) = 0.0122

P(personal loan=no) = 1 - P(personal loan=yes) = 0.9878

Odds of personal loan = 0.0122 / 0.9878 = 0.0124

The logistic regression model estimated as P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x))

Hence, P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x)) = 0.0122

P(personal loan=yes|income=x+1) = 1 / (1 + e(-6.3525+0.0392(x+1))) = 0.012414

We have, odds ratio = odds of personal loan when income increases by 1 unit

odds ratio = 0.012414 / 0.0124 = 1.0032 ≈ 1.00320

Round the answer to 5 decimal places = 1.00320

The odds ratio of income is 1.00320, rounded to 5 decimal places.

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Answer:

hi

Step-by-step explanation:

thanks for the poi