Sasu performed an experiment where he rolled a fair number cube 90 times. Which of the following outcomes is most likely?


a) The number cube lands on 3 exactly 30 times.

b) The number cube lands on 3 approximately 30 times.

c) The number cube lands on an odd number exactly 45 times.

d) The number cube lands on an odd number approximately 45 times.

Answer:

(-2)^x=15 is an equation that represents an exponential function, with base -2 and exponent x. However, this equation has no real solution, because the base of an exponent must be positive and -2 is not a positive number. Therefore, raising -2 to any power will always result in a negative number and can never be equal to 15 which is a positive number.

Answer:

See below

Step-by-step explanation:

Since the right side of equation (15) is positive, this means that x-value is even power since the only way for (-2)^x to be positive is when x = even number.

This also means that x can only be positive even integers (0, 2, 4, 6, 8, ...) since negative integer results in fraction.

However, there are no positive even numbers that make the equation true. Hence, why the equation results in null.

There are \(700\) children and \(1300\) adults.

What is system of linear equations?

A System of Linear Equations is when we have two or more linear equations working together.

Let \(x\) be number of children and \(y\) be number of adults.

Since \(2000\) people enter the zoo then \(x+y=2000.\)

The admission fee at a local zoo is $ \(1.50\) for children and $ \(5.00\) for adults and $\(7550.00\) collected then \(1.5x+5y=7550\).

Thus there are two linear equations to solve.

Substitute \(x=2000-y\)  in  \(1.5x+5y=7550.\)

\(1.5(2000-y)+5y=7550\)

\(3000-1.5y+5y=7550\)

\(3000+3.5y=7550\)

\(3.5y=7550-3000\)

\(3.5y=4550\)

\(y=\frac{4550}{3.5}\)

\(y=1300\)

So \(x=2000-y=2000-1300=700.\)

Therefore there are \(700\) children and \(1300\) adults.

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Answer:

7 t-shirts

Step-by-step explanation:

Because you know the cost of shipping ($6) is constant no matter the quantity you order (fixed cost), you can subtract it from the total cost of the order to find the total variable cost. Next you divide the left over cost by the cost per t-shirt to get the quantity ordered.

$111 - 6 = $105

$105 / $15 per shirt = 7 t-shirts

Hope this helps!

-The Business Man

in a triangle, the sum of the angles is always 180 degrees. so, if we have one angle of 65 degrees and another angle of (10x + 3) degrees, the third angle must be:

180 - 65 - (10x + 3) = 112 - 10x

since the sum of the angles in a triangle is always 180 degrees, we can set up an equation:

65 + (10x + 3) + (112 - 10x) = 180

simplifying the equation:

180 - 3 = 65 + 112 - 10x + 10x

177 = 177

the equation is true for all values of x. this means that x could be any value and the triangle would still be valid.

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Answer:

Option D

Step-by-step explanation:

Convert to slope-intercept form:

\(4x-2y=2\)

\(-2y=2-4x\)

\(y=-1+2x\)

\(y=2x-1\)

Find the x-intercept by plugging in y=0:

\(y=2x-1\)

\(0=2x-1\)

\(1=2x\)

\(\frac{1}{2}=x\)

\(x=\frac{1}{2}\)

Therefore, the x-intercept is \((\frac{1}{2},0)\)

Find the y-intercept by plugging in x=0:

\(y=2x-1\)

\(y=2(0)-1\)

\(y=0-1\)

\(y=-1\)

Therefore, the y-intercept is \((0,-1)\)

So, the correct answer is option D.

Answer:

D

Step-by-step explanation:

1. To find the x intercepts, set y equal to 0 and solve for x

4x - 2y = 2

4x -2(0) = 2

4x - 0 = 2

4x = 2

x = 1/2

2. To find the y intercepts, set x equal to 0 and solve for y

4x - 2y = 2

4(0) - 2y = 2

0 - 2y = 2

-2y = 2

y = -1

The decimal equivalent of the given 10-bit fixed-point binary value is 27.375 with three digits of precision after the decimal point.

The given 10-bit fixed-point binary value, 0111011.011, can be converted to its decimal equivalent by using the positional notation. The first bit to the left of the decimal point represents the sign of the number, where 0 represents a positive value and 1 represents a negative value. Since the first bit is 0, the number is positive.

Next, we can convert the integer part of the number by using the positional notation of base 2, which involves multiplying each bit by a power of 2 starting from the leftmost bit. In this case, we have:

0 x 2^6 + 1 x 2^5 + 1 x 2^4 + 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0 = 27

Similarly, we can convert the fractional part of the number by using the positional notation of base 2, which involves multiplying each bit by a negative power of 2 starting from the rightmost bit. In this case, we have:

0 x 2^-1 + 1 x 2^-2 + 1 x 2^-3 = 0.375

So, the decimal value is 27.375.

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The single trigonometric function form of the expression is 2sin(3π/8) cos(3π/8).

Trigonometric function:

In math, trigonometric functions are the periodic functions which denote the relationship between angle and sides of a right-angled triangle.

Given,

Here we need to write the given expression as a single trigonometric function. 2 sine (start fraction 3 pi over 8 end fraction) cosine (start fraction 3 pi over 8 end fraction)

Here we have the expression,

2 sine (start fraction 3 pi over 8 end fraction) cosine (start fraction 3 pi over 8 end fraction)

Now, we have to convert this into the form of trigonometric function,

For that we have to rewrite the given expression based on the arithmetic operators, then we get the resulting function as,

=> 2sin(3π/8) cos(3π/8).

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Answer:C

Step-by-step explanation:

did it on edge

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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The equation that represents the axis of symmetry of the graph of the quadratic function is the line; x = 6

A quadratic function is a function that has 2 as the highest exponent. The shape of the graph of a quadratic function is a parabola, which is U shaped.

The equation of the axis of symmetry of the graph of y = -3·(x - 6)² + 5 is obtained as follows.

The specified equation is in the vertex form of a quadratic function, which is; f(x) = a·(x - h)² + k

Where;

(h, k) = The coordinate of the vertex

The equation of the axis of symmetry is x = h

Comparison of the equation, y = -3·(x - 6)² + 5 and the vertex form of a quadratic equation, we get.

The vertex, (h, k) = (6, 5)

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Answer:

It's really hard to really solve cause I'm a student in learning.

The polar equation r = 3+6cosθ is symmetric to the polar axis with respect to the polar axis.

To test the polar equation r = 3 + 6 cos(θ) for symmetry, we will consider each type of symmetry one by one:

1. Polar axis symmetry: Replace θ with -θ and check if the equation remains the same.
r = 3 + 6 cos(-θ) = 3 + 6 cos(θ) (since cosine is an even function)
Since the equation remains the same, the curve is symmetric with respect to the polar axis.

2. Pole symmetry: Replace r with -r and check if the equation remains the same.
-r = 3 + 6 cos(θ)
This equation is not equivalent to the original equation, so the curve is not symmetric with respect to the pole.

3. Line θ = π/2 symmetry: Replace θ with (π - θ) and check if the equation remains the same.
r = 3 + 6 cos(π - θ) = 3 - 6 cos(θ) (since cos(π - θ) = -cos(θ))
This equation is not equivalent to the original equation, so the curve is not symmetric with respect to the line θ = π/2.

In conclusion, the polar equation r = 3 + 6 cos(θ) is symmetric with respect to the polar axis, but not with respect to the pole or the line θ = π/2.

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The ordered pairings where the regions overlap are the answers to the linear inequality system (yellow).

The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.

given

Assume that y is the number of necklaces and x is the number of bracelets.

Up to (less than or equal to) 60 pieces (bracelets and necklaces) can be produced by Olivia each week:

x+ y ≤60

Up to (less than or equal to) 40 bracelets can be made by Olivia each week:

x≤40(2)

Up to (less than or equal to) 40 necklaces can be created by Olivia each week.

y≤40(3)

Olivia aims to sell at least 30 products per week, preferably more.

x+y≥30(4)

It is possible to write x+y60 as yx+60 with a boundary of y=x+60. Since is used, we shade below the line and draw the line as solid. (red)

The vertical boundary of x40 is defined by x=40. Because is employed,, after which we darken the line's left side and draw the line as solid. (orange)

The horizontal boundary of y40 is defined by y=40. Because is utilized, we shade below the line and draw a solid line over it. (green)

The expression x+y30 can be written as yx+30 has a limit of y=x+30.

Because is utilized, we shade above the line and draw the line as a solid. (blue)

The ordered pairings where the regions overlap are the answers to the linear inequality system (yellow).

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Answer:

Step-by-step explanation:

R+Q=180

12x-6=180-114

12x=66-6

12x=60

x=5

It will be nice if you give me brainliest. Good luck!

Answer:

8

Step-by-step explanation:

8

The probability that X is greater than 39, P (X>39) is 0.03.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given,

Mean = 33

Variance = 10

Standard deviation = 3.16

Z score,

= x - mean/standard deviation

= 39 - 33/3.16

= 1.89

P value from Z table,

P( x< 39) = 0.9712

P( x > 39) = 1 - P(x <39)

P( x > 39) = 1 - 0.9712

P(x > 39) = 0.0288

The probability that X is greater than 39, P (X>39) is 0.03.

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The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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Answer:

(1,-8), (-6,-4), (3,7), (-6,1)

Step-by-step explanation:

In a function the x values cannot repeat. Look at each answer choice and see if an x repeats:

The first choice (top left) has the x value, -6, repeating. It cannot be a function.

The second choice (top right) does not have an x value repeat. This makes it a function!

The third choice, (bottom left) does not have an x value repeat. This makes it a function!

The fourth choice, (bottom right) does not have an x value repeat. This makes it a function!

The answer is the first option -6

Because we are looking numbers that are stricly bigger than -6 and stricly smaller than 6, we need to use < or >, and not the ≤ or ≥.

Then we can rule aout t

True.

The normal distribution is a probability distribution that follows a bell-shaped curve. The curve is symmetric around the mean, with the majority of the data falling within one standard deviation from the mean. Probabilities for a given range of values can be calculated by finding the area under the curve for that range. This is because the area under the curve represents the probability of a random variable falling within that range. The properties of the normal distribution make it a useful tool for statistical analysis, as it can be used to model many natural phenomena and is often assumed in hypothesis testing and confidence interval calculations.
True, the normal distribution follows a bell-shaped curve, where probabilities are found by calculating the area under the curve. This distribution is symmetrical around its mean, with probabilities decreasing as values move away from the mean. To find the probabilities, we calculate the area under the curve using integration, which gives us the likelihood of a value occurring within a specific range. The total area under the curve is equal to 1, representing 100% probability. The normal distribution is useful for understanding real-world phenomena and predicting outcomes based on patterns of data.

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Answer:

1a) 9+9+9+9=36

b) 9×9=81. Hope this helped

Respuesta:

1/2; 4/3; 5/3; 1/4; 1/6; 4/7

Explicación paso a paso:

1.)

4/6 * 3/4

= 24/12

= 1/2

2.) 14/5 * 10/21

= 2/1 * 2/3

= 4/3

3.)

4/10 * 6/9

= 60/36

= 5/3

4.) 3/8 * 6/9

= 1/4 * 3/3

= 3/12 = 1/4

5.)

4/10 * 5/12

= 20/120

= 1/6

6.)

15/9 * 20/21

= 3/3 * 4/7

= 4/7

Answer:

69

Step-by-step explanation:

15*3=45

12*2=24

45+24= 69

Answer: 114

Step-by-step explanation:

15×3+12×2

15×3=45

45+12=57

57×2=114

Answer:

I would go with option 4

Step-by-step explanation:

Answer:

\(\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}\)

\(\frac{x}{sin25} = \frac{32}{sin90}\)

\(x = \frac{32sin25}{sin90}\)

\(x = 13.5\)

Hope this helps! Have a great day... please mark as brainliest :0 :))

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.

We will have the following:

*First: We solve for y:

*Second: We determine two sets of points that belong to the line. In our case we will solve for x = 0 & x = 2. So we would get:

*For x = 0:

So, we would have the point:

*For x = 1:

So, we would have the point:

*Third: We graph:

The sample size which is required for the maximum error of 0.03 mg and 90% confidence level is equal to approximately 307.

Confidence level = 90%

Maximum error = 0.03mg

To determine the sample size needed to estimate the nicotine content with a maximum error of £0.03 mg at a 90% confidence level,

Use the formula for sample size determination,

n = (Z × σ / E)²

Where,

n = required sample size

Z = Z-value for the desired confidence level (corresponding to a 90% confidence level, Z ≈ 1.645)

σ = standard deviation of the population ( 0.32 mg)

E = maximum error or margin of error ( £0.03 mg)

Plugging in the values, we have,

⇒n = (1.645 × 0.32 / 0.03)²

⇒n ≈ (0.5264 / 0.03)²

⇒n ≈ 17.5098²

⇒n ≈ 306.5

Rounding up to the nearest whole number, the required sample size is approximately 307.

Therefore, a sample size of at least 307 cigarettes would be needed to estimate the nicotine content with a maximum error of £0.03 mg at a 90% confidence level.

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Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200