How many degrees Fahrenheit is -3°C?​

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer:

c

Step-by-step explanation:

Answer: 20 log (2)

Step-by-step explanation:

Answer: Logarithms are mathematical functions that are used to represent the relationship between two quantities that are related by a power law. For example, if we have an exponential equation like 2^x = 8, we can use logarithms to solve for x: log2 8 = x.

In general, logarithms are written in the form logb a, where b is the base of the logarithm and a is the number we want to take the logarithm of. There are several different bases in that logarithms can be written in, including the common logarithm (base 10) and the natural logarithm (base e).

To evaluate a logarithm, we need to use the logarithmic properties and the change of base formula. One important property of logarithms is that logb (xy) = logb x + logb y. Another property is that logb (x/y) = logb x - logb y.

The change of base formula is used when we need to evaluate a logarithm in a different base than the one given. The formula is:

logb a = logc a / logc b

where c is any base other than b or a. By using this formula, we can convert a logarithm from one base to another in order to evaluate it using a calculator.

In the case of log4 25, we can use the common logarithm (base 10) or the natural logarithm (base e) to evaluate the logarithm. Using the change of base formula with the common logarithm, we have:

log4 25 = log(25) / log(4)

Using a calculator, we find that log(25) ≈ 1.39794 and log(4) ≈ 0.60206, so:

log4 25 ≈ 1.39794 / 0.60206

Simplifying this expression, we get:

log4 25 ≈ 2.32193

Rounding to the nearest thousandth, we get:

log4 25 ≈ 2.322

So, the value of log4 25 to the nearest thousandth is 2.322.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The second equation is

b) The graph of both equations is attached

The intersection point of the lines is (100, 150)

It indicates 100 calendars and 150 posters to be donated to meet both of targets $600 and 250 items.

Answer:

Given equation:

\(3c+2p=600\)

where:

If the company donating the calendars and posters said they would provide a total of 250 items then:

\(c+p=250\)

To graph:

\(3c+2p=600 \implies p=300-\dfrac{3}{2}c\)

\(\textsf{x-intercept}: \quad 300-\dfrac{3}{2}c=0 \implies c=200 \implies (200,0)\)

\(\textsf{y-intercept}: \quad 300-\dfrac{3}{2}(0)=300 \implies (0,300)\)

\(c+p=250 \implies p=250-c\)

\(\textsf{x-intercept}: \quad 250-c=0 \implies c=250 \implies (250,0)\)

\(\textsf{y-intercept}: \quad 250-0=250 \implies (0,250)\)

Point of intersection (equate equations):

\(\begin{aligned}300-\dfrac{3}{2}c &=250-c\\50 & =\dfrac{1}{2}c\\ c & =100\end{aligned}\)

\(p=250-100=150\)

\(\implies \left(100,150}\right)\)

The point of intersection tells us that they need to sell 100 calendars and 150 posters to reach their goal of raising $600.  Therefore, the company needs to provide 100 calendars and 150 posters (or 250 items in the ratio of calendars to posters of 2 : 3).

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

A. reflection over the y-axis

B. translation 3 units right

C. translation 4 down

D. reflection over the x-axis

Answer:

I don't know.

Step-by-step explanation:

need the whole question to answer

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

We know that an elevator began at an elevation of 85.5 feet, and ascended at a rate of 2.75 feet per second.

This means that at 0 seconds, the elevator is at an elevation of 85.5feet.

and so on. This means that if s is the number of seconds, the height will have the expression:

When a man selects 3 items, the probability that they're all defective will be 1/64.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information, bag contains 8items of which two are deffective. The probability of a defective item is:

= 2/8

= 1/4

When a man selects 3 items, the probability that they're all defective will be:

= (1/4)³

= 1 / 64

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Complete question

A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?

Answer:

so basically I think it is

¾ = 75%  

x =    (¾)/75%   = (¾)/0.75     = 0.75/0.75    = 1

Step-by-step explanation:

if I am wrong I am so so very sorry

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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Answer:

B x >= 11

Step-by-step explanation:

80 miles total, 14 miles already done => 80-14=66 miles left.

66 miles distributed evenly across 6 days means 66/6=11

Answer:

A Bundling is where a firm sells two or more products as one.

Answer:

Step-by-step explanation:

Let x be the random variable representing the miles per gallon of Chevrolet Cobalt in highway driving. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 33

σ = 4

a) the probability that a randomly selected Cobalt gets more than 34 miles per gallon is expressed as

P(x > 34) = 1 - P(x ≤ 34)

For x = 34,

z = (34 - 33)/4 = 0.25

Looking at the normal distribution table, the probability corresponding to the z score is 0.5987

P(x > 34) = 1 - 0.5987

P(x > 34) = 0.4013

b) since sample size is given, the formula would be

z = (x - µ)/(σ/n)

n = 16

z = (34 - 33)/(4/√16)= 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.8413

P(x > 34) = 1 - 0.8413

P(x > 34) = 0.1587

c) Since the population is normally distributed, then, the sample is also normally distributed. The correct option is

Yes, we could, because the distribution of the sample mean is always normal regardless of the sample size

Answer:

12(x) + 20

Step-by-step explanation:

x represents the amont of dogs and the +20 is the flat fee.        

Answer:

28 yd²

Step-by-step explanation:

finding the area of a triangle is (base * height) / 2.

(14*4)=56

56/2=28

Answer:

around 5.93 years

Step-by-step explanation:

A=P(1 + r/n)^n(t)

5000=3000(1 + .09/1)^1(t)

Answer:

6

Step-by-step explanation:

Step-by-step explanation

The answers in bold is what was required from the question.

the null hypothesis using symbol:-

H₀ : μ = 11.80

the alternative hypothesis using symbol:-

H₁:  μ ≠ 11.80

This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.

Alpha level = 0.05

Sample size = n

Degree of freedom = n-1 = 40-1 = 39

To use the t distribution we will have to find the critical value from the t table this value is 1.685

But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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