Natasha rolls a fair dice 66 times.

How many times would Natasha expect to roll a number greater than 5?

Answer:

$200, $300, $500

Step-by-step explanation:

Given data

Total Amount= $1000

Ratio=  2:3:5

The combined ratio is = 10

Let us apply the part to all method to find the individual amount

The first person will take

10/1000= 2/x

1/100=2/x

cross multiply

x= 200

The second person will take

10/1000= 3/x

1/100=3/x

cross multiply

x= 300

The third person will take

10/1000= 5/x

1/100=5/x

cross multiply

x= 500

Answer: 3-7x

Step-by-step explanation: x represents the "a number" portion since it is a variable

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &25 \end{cases} \\\\\\ A = 4000e^{0.08\cdot 25} \implies A=4000e^2\implies A \approx 29556.22\)

Answer:

I don't know the answer sorry

Answer:

5pm

Step-by-step explanation:

5 x 4= 20 miles

4 x 5= 20 miles

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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The speed is proportional to the elapsed time. It doesn't depend on the mass. a)Mg/c is the limit and b)gt is the limit

What is speed?

a) lim t-->∞  v = mg/c
  mg/c is the limit
2)It is the speed the object approaches as time goes on.
b) lim c-->0^(+)   v = gt.

  gt is the limit
3)The speed is proportional to the elapsed time. It doesn't depend on the mass. The longer the object falls the faster it will fall because same acceleration g it will not depend on mass.

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Answer:

x=60

Step-by-step explanation:

here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.

x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90

and 30+2x+y = 180 ,

2x+y=150, (180-30)

then two equations can be made.

x+y=90

2x+y=150

simplifying these two simultaneous equations

can get x as 60. and 2x is 120.

The value of x is 60°

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Here, DOB and AOC have equal values and are at vertically opposed angles. Let's use y to represent the two angles.

Since EOA is 90 and the total of the angles in a straight line is 180, x+DOB equals 90 and can be written as x+y=90.

And 30 + 2x + y = 180 ,

⇒ 2x+y = 180-30

⇒ 2x + y = 150,

After which two equations can be created.

⇒ x+y=90

⇒ 2x+y=150

We have the two simultaneous equations made simpler.

We can get x as 60. and 2x as 120.

Thus, the value of x is 60°

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Answer:

its 1.125

Step-by-step explanation:

well 2.25 divided by 3 is 1.125

Answer:

\(d_2=-8.32ft\)

Step-by-step explanation:

From the question we are told that:

Height of first draw down \(h=30\)

Pump Discharge \(Q=250gallons/day\)

Well 1 depth \(d_1=10ft\)

Transmissivity\(\=T 10.0 ft2/day\)

Radius\(r=0.5\)

Well 2 depth \(d_2=50ft\)

Generally the Thiem's equation for Discharge is mathematically given by

 \(Q=\frac{2\piT(h_2-h_1)}{ln(\frac{r_2}{r_1})}\)

 \(250=\frac{2*\pi 10 (10-d_2)}{ln(\frac{50}{0.5})}\)

 \(1151.293=2*\pi 10 (10-d_2)\)

 \(d_2=-8.32ft\)

The shape of the resultant matrix of the multiplication of a "2 by 4" matrix and a "4 by 3" matrix will be a "2 by 3" matrix, the correct option is (d).

We know that the general rule for matrix multiplication, which is If matrix A is "m by n" matrix (it has m rows and n columns) and the matrix B is "n by k" matrix (it has n rows and k columns),

Then the product AB is an "m by k" matrix, which means, that the resulting matrix will have "m" rows and "k" columns.

In this case, the "2 by 4" matrix means that matrix has 2-rows and 4-columns, and

The "4 by 3" matrix means the matrix has 4-rows and 3-columns.

Since the number of columns in the first matrix (4) matches the number of rows in the second matrix (4), we can perform the multiplication.

The resulting matrix will have 2 rows and 3 columns,

Therefore, the shape of the resultant matrix is (d) 2 by 3.

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The given question is incomplete, the complete question is

Please identify from the following choices which has the shape of the resultant matrix of multiplication of a "2 by 4" and "4 by 3" matrices.

(a) 3 by 2

(b) 2 by 4

(c) 4 by 4

(d) 2 by 3

The complete factorization of the polynomial is:

h(x) = (x - 3)*(x - 1)*(x + 2)

Here we have the polynomial:

g(x)= x³ - 2x² - 5x + 6

And we know that x = 3 is a zero, then (x - 3) is a factor.

So if f(x) = a*x² + b*x + c

We can write:

h(x) = (x - 3)*f(x)

Let's find f(x).

Expanding that:

x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)

x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c

x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c

Comparing like terms, we can see that:

a = 1

b - 3 a = -2

c - 3b = -5

-3c = 6

With the first and last equation we can get:

a = 1

c = 6/-3 = -2

Now with one of these values and the second or third equation we can find the value of b.

b - 3 a = -2

b - 3*1 = -2

b - 3 = -2

b = -2 + 3 = 1

Then:

f(x)  = x² + x - 2

The zeros of this quadratic function are given by:

x = -1±3 / 2

so, we get,

x = (-1 + 3)/2 = 1

x = (-1 - 3)/2 = -2

Then we can factorize this as:

f(x) = (x - 1)*(x + 2)

And then we can write h(x) as:

h(x) = (x - 3)*(x - 1)*(x + 2)

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complete question:

For the polynomial below, 3 is a zero.

g(x)= x³ - 2x² - 5x + 6

Express g (x) as a product of linear factors.

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Answer:

A(w) = 180w-w²

Step-by-step explanation:

Farmer Brown has 360 feet of fencing to use to construct a rectangular enclosure for his prized goats.

It means that the perimeter of the rectangle is 360 feet

The formula for the perimeter of a rectangular shape is given by :

P = 2(l+w)

l is length and w is width

ATQ,

2(l+w) = 360

(l+w) =180

l = 180 -w .....(1)

The formula for the area of a rectangle is given by :

A = lw

Put the value of l form equation (1).

A = (180-w)w

A(w) = 180w-w²

Hence, the correct option is (c).

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer:

p=-3

Step-by-step explanation:

Answer:

-4/2=2p

Step-by-step explanation:

5p - 8/2 = 7p +4/2

-5p           -5p

        -8/2 = 2p + 4/2

        -4/2            -4/2

1) y = 0.19X + 157.3 (option C)

2) Yes, it is a good fit

3) i) 165

ii) 168

iii) 172

1)2) Regression equation is given as:

To determine the regression equation, we will use a regression calculator:

2) The correlation coefficient = r = 0.98510411

A correlation coefficient that is close to 1 is a strong correlation and it makes it a good fit.

Yes, it is a good fit

To get the maximum heart rate for a resting heart, we will substitute X with the values given

For resting heart rate of 42:

For resting heart rate of 57:

For resting heart rate of 78:

Answer:

Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.

Step-by-step explanation:

In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.

Let us consider a random variable, X that follows a normal distribution, N (µ, σ²).

Then Z is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,

\(Z=\frac{x-\mu}{\sigma}\sim N(0, 1)\)

This, z-score is known as the standardized score.

It is provided that the distribution of finishing time for men (say, X) was approximately normal with mean µ = 242 minutes and standard deviation σ = 29 minutes.

The finishing time for Clay was x = 289 minutes.

Compute Clay's z-score as follows:

\(Z=\frac{x-\mu}{\sigma}\)

   \(=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68\)

Thus, Clay's standardized score is 1.68.

That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.

So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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In the given triangle, we are asked to name the marked angles in two different ways.

The point L indicates the location of the vertex. This is the point where two rays meet to form an angle.

We can name the marked angle using two methods:

1) By three capital letters with the vertex in the middle.

2)By one capital letter using the letter that indicates the vertex.

Therefore, the possible names of the marked angles would be:

Answer:

Answer:

144

Step-by-step explanation:

Answer:

The whole number or tens place

Step-by-step explanation:

If u need any more help love to help

The requried place value of 9 in 9.08 is a unit place.

The place of the value of digits is defined as in a number the place of digits is the location of the digit in that number.

Here,
We have to determine the place value of 9 in 9.08
Since 9 is present at the unit place of the number so the place value is given as unit place.

Thus, the requried place value of 9 in 9.08 is a unit place.

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Answer:

A

Step-by-step explanation:

Kahn

Answer: 28:35

Step-by-step explanation: The missing number is 28, here's how to solve it:

So, if we know both components of the first ratio AND the second component of the 2nd ratio, we need to divide the 2nd components from each ratio. So, 35 / 5 = 7. Now, we need to multiply 7 by 4. We get 28. So, the 2nd ratio is 28:35. I hope this helps!

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Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).

y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3

A) h(x) = 5\((2)^{x}\)

when x = 0

Any number with zero power is always 1

h(x) = 5

B) h(x) = 5\((0.5)^{x}\) + 0.5

when x = 0

h(x) = 5 + 0.5

h(x) = 5.5

C) g(x) = 3\((\frac{1}{4}) ^{x}\)

when x = 0

g(x) = 3

Here we get y intercept as 3.

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To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

11.25

Step-by-step explanation:

6 3/4 + 4 1/2

Answer:

Here are some most commonly used formulas of algebra: a^2 - b^2 = (a - b)(a + b) (a + b)2 = a^2 + 2ab + b. (a - b)2 = a^2 - 2ab + b.

Step-by-step explanation:

Please mark me brainliest

Answer:

Step-by-step explanation:

The null and the alternative can be computed as:

\(H_o : \mu = 7.62\)

\(H_1 : \mu < 7.62\)

\(Claim: \mu < 7.62\)

\(\alpha= 0.05\)

The critical value for a left-tailed test at \(\alpha= 0.05\) = -1.645

The test statistics can be computed as:

\(Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}} }\)

\(Z = \dfrac{6.78 - 7.62}{\dfrac{1.77}{\sqrt{54}} }\)

\(Z = -3.487\)

The P-value = (Z< -3.487)

The P-value = 0.00024

Decision Rule: TO reject \(\mathbf{H_o}\) at \(\alpha= 0.05\), if test statistics is less than the critical value (left tailed)

Conclusion: We reject  \(\mathbf{H_o}\) at ∝ = 5%, thus there is enough evidence to support the claim that the college students average daily ownership expenses are less than the national average.

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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