Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B are 24 miles apart.

Answer:

96.72

Step-by-step explanation:

Answer:

96.77

Step-by-step explanation:

pi is 3.142

radius = 15.4ft

c = 2*3.142*15.4

The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

The graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.

If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.

In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

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According to the discrete distribution given, the standard deviation is of: 0.98.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability, hence:

\(E(X) = 0.1296(0) + 0.3456(1) + 0.3456(2) + 0.1536(3) + 0.0256(4) = 1.6\)

The standard deviation is the square root of the sum of the multiplication of each probability and the difference squared between the observation and the mean, hence:

\(\sqrt{V(X)} = \sqrt{0.1296(0-1.6)^2 + \cdots + 0.1536(3-1.6)^2 + 0.0256(4-1.6)^2} = 0.98\)

The standard deviation is of 0.98.

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Answer:

5

Step-by-step explanation:

set everything equal to a to solve for a.

a + 1 - 2 = 4

a + 1 = 6

a = 5

so your answee would be 5.

we can check this by plugging back in.

5+1-2=4

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.

To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.

Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.

Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.

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Step-by-step explanation:

f(g(x))=3(x^2+2x)^2+2=3(x^4+2*x^2*2x+4*x^2)+2

=3x^4+3*4*x^3+12*x^2+2=

=3x^4+12x^3+12x^2+2 for x=2

=3*2^4+12*2^3+12*2^2+2=

=3*16+12*8+12*4+2

=48+96+48+2=

=144+50=194

Answer:

X=4

Step-by-step explanation:

because 4 x 4 is 16 and multiply that by 4 (16 x 4) and you get 64.

Answer:

\( {4}^{3} \)

Step-by-step explanation:

\( {4}^{3} \)

.......

Answer:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Step-by-step explanation:

Information provided

\(\bar X=74.1\) represent the sample mean

\(s=13.1\) represent the sample standard deviation

\(n=50\) sample size  

\(\mu_o =72\) represent the value that we want to test

\(\alpha=0.1\) represent the significance level

t would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to analyze if the true mean for this case is higher than 72, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 72\)  

Alternative hypothesis:\(\mu > 72\)  

The statistic is given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\)  (1)  

Replacing the info we got:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Answer:

1. The unit price for a doll is three dollars. The unit price for a purse is six dollars.

2. One doll costs three. One purse costs six.

3. Polly spends $24 on the 2 dolls and 3 purses.

Step-by-step explanation:

Doing some calculations, 1 doll costs three dollars and 1 purse costs six dollars.

5 x 3 + 6 = 21

7 x 3 + 1  = 27

If Polly buys 2 dolls and 3 purses, that means she spends six dollars on the dolls and eighteen dollars on the purses.

(2 x 3) + (3 x 6) = $24

Polly spends $24 on 2 dolls and 3 purses.

Answer:

Yes, the triangles are SIMILAR, not exact.

Step-by-step explanation:

None.

Answer:

yes

no

no

yes

Step-by-step explanation:

Answer: x=-10

Step-by-step explanation:

Given that  x/5=-2

multiply both sides of equation with 5

(x/5)*(5)=(-2)*(5)

x=-10

surface area of a equilateral by hand a 140.4 cm and 9cm

Answer:

Step-by-step explanation:

do cross cansalling or mixed number it will help. Or you can make a able

(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Answer: 36

Step-by-step explanation:

g^4+5h

2^4+5(4)

16+20

36

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer:

-4x-12

Step-by-step explanation:

7x-8x-3x = -4x

14-26 = -12

-4x-12

Answer:

Step-by-step explanation:

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π is pi, and r is the radius.

Substituting the given value of π = 3.142 and r = 4 cm, we get:

C = 2 x 3.142 x 4

C = 25.136 cm

Therefore, the circumference of the circle is 25.1 cm (rounded to 1 decimal place).

Answer:

mark is making $4,575, Carlos is makeing 457.50

Answer:

This is called a supplementary angle. x = 12°

And for extra credit:

y is a vertical angle to 60° and a supplementary angle to x so

y = 60°

Step-by-step explanation:

Answer:

D) y=4x-1

Step-by-step explanation:

Answer:

D) y=4x-1

Step-by-step explanation:

Each y-value in the table is 1 less than 4 times the corresponding x-value.

Answer:

D. 153.37 lb

Step-by-step explanation:

I chose C and it said the Correct answer is D

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer: 584390

Step-by-step explanation: the r4u819

Answer:

3 = 95, 4 = 85, if a and b are parallel

Step-by-step explanation:

Answer:

<3=95

<4=85

Step-by-step explanation:

<3 is 95 because it matches the other angle because of parallel angles. the other angle is supplementary, so 180-95=85