convert 1000m to kilometres​

Answer:

Step-by-step explanation:

If you walk from Tucson Arizona (Saguaro National Park) to San Clemente California (Dana point), it would take around 152 hours, or 468 miles, if you walking speed is as the average person which is 3 to 4 miles per hour.

Answer:

87.92 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is πr² · h

1. Set up the equation

π2² · 7

2. Solve

(3.14)(4)(7) = 87.92

The volume of a cylindrical water tank with a diameter of 4 feet  and a height of 7 feet is 87.92 cubic feet.

Given that, a cylindrical water tank with a diameter of 4 feet and a height of 7 feet.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the volume of a cylinder πr²h

Here, radius =4/2 = 2 feet

The volume of a cylinder = 3.14×2²×7

= 3.14×4×7

= 87.92 cubic feet

Therefore, the volume of a cylindrical water tank with a diameter of 4 feet  and a height of 7 feet is 87.92 cubic feet.

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Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

Answer:

You need to use the AAS (angle angle side) congruency theorem

Step-by-step explanation:

youre welcome!!!

Answer:

The Angle-Angle-Side Postulate (AAS)

Step-by-step explanation:

It is given that angle 1 and 2 are equivalent so that is angle #1

It is given that angle 3 and 4 are also equivalent so that is angle #2

And finally, it is given that side TS and side TR are equivalent giving you that last side you need to prove the type of Postulate it is

If this helped, please consider giving me brainliest, it will help me a lot

Have a good day! :)

Answer:

C. It is an angle that has its vertex at the center of a circle.

Step-by-step explanation:

That's the definition.

A. is wrong. An angle with a measure greater than 180° is an obtuse angle,

B. is wrong. An angle that has its vertex on the circle is an inscribed angle.

D. is wrong. Part of the circumference of a circle is an arc.

Answer:

when we add all the angles.

=58+94+15=167

so it's a 180..

180_167

=13

round to nearest tenth.

=10..

Answer:

C. Seasonal variation

Step-by-step explanation:

Distinct pattern around a trend line can be caused by seasonal variation.

Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season

Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.

Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.

Answer:

1 day.

Step-by-step explanation:

Given:

Albert's cafe uses 5 bags of coffee every day.

Required:

How many days will 5/8 bag of coffee last?

'How many days will 5/8 bag of coffee last?'

In this sentence we can see that there are 8 bags of coffee. The question in other words is Albert's Cafe is using 5 bags of coffee out of the 8 bags of coffee, and how many days will these last.

In the given we can see that the Cafe uses 5 bags of coffee per day, so the answer is 1 day.

Hope this helps ;) ❤❤❤

Answer:

60 cm

Step-by-step explanation:

You need to use ratios to solve.  If the scale is 1:30 then the wheel is 2:(?).  Cross-multiply the fractions and solve for x.

1/30 = 2/x

1x = 30*2

x = 60

The wheel is 60 cm in diameter.

Answer:

60 centimeters

Step-by-step explanation:

The scale is 1:30. The wheel diameter is 2 while the actual size of the wheel is unknown. Therefore, the scale for the wheel is 2:x

Let’s set up a proportion.

1/30=2/x

First, cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the numerator of the second by the denominator of the first.

1*x= 2*30

1x=20*30

x=20*30

x=60

Add appropriate units, in this case centimeters (cm).

x= 60 cm

The actual diameter of the wheel is 60 centimeters.

First, let's figure out the pattern that this series follows. We can see that the first number is increased by 1/2 to get to 2 1/2. Then, the second number is decreased by 1 to get to 1 1/2. Finally, the pattern repeats.

So, let's apply this pattern to find the next number in this series.

2, 2 1/2, 1 1/2, 2, 1

The next number in this series is 1.

Hope this helps!! :)

Answer:

3rd

Step-by-step explanation:

i got it right on khan academy

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The statement for [tex]6x - 3 = 9[/tex] is :

[tex]\boxed{Six (x) .minus. Three .equals. Nine.}[/tex]

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Hope this helped you.

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Answer:

m = 4.

Step-by-step explanation:

We are given the formula y = -5 + 4x. Rearrange the equation to be in proper slope-intercept form (y = mx + b)

Where 'm' is the slope and 'b' is the y-intercept. Therefore:

y = -5 + 4x becomes y = 4x - 5

The 'm' value is equivalent to 4, so the slope of the equation is 4.

Answer:

4

Step-by-step explanation:

because of y= mx + b where m is the slope

m= 4 in the equation

Step-by-step explanation:

(ax + b)² = a²x² + 2abx + b²

In this case, a = 1, so:

14 = 2b

b = 7

(x + 7)² = x² + 14x + 49

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------             The frequency is ~7.5*1014 Hz

Since visible light has a wavelength spectrum of ~400 nm to ~700 nm, Violet light has a wavelength of ~400 nm and a frequency of ~7.5*1014 Hz.

Step-by-step explanation:

Speed = wavelength × frequency

3×10⁸ m/s = (400×10⁻⁹ m) f

f = 7.5×10¹⁴

Answer:

79.67%

Step-by-step explanation:

To find the percentage correct, take the number correct over the total

98/123

.796747967

Change to a percent by multiplying by 100 %

79.6747967%

Round to the nearest hundredth

79.67%

Answer:

79.67%

Step-by-step explanation:

percent = part/whole * 100%

percent = 98/123 * 100%

percent = 79.67%

Answer:  B.  

Four students won 12, 13, 14, 15, 16, or 17 prizes

Answer:

Four students won 12, 13, 14, 15, 16, or 17 prizes!

Step-by-step explanation:

Answer:

1.2 miles

Step-by-step explanation:

5.3 - 4.1 = 1.2 miles

Answer:

Step-by-step explanation:

5.3 - 4.1 = 1.2

1.2 miles difference.

This is because from Washington to Lanberry it is 4.1 miles. From Washington to Newberry it is 5.3., SO, if you subtract it you will get 1.2 miles difference.

Hope this helped,

kavitha

Answer: 1/4≤x

Step-by-step explanation:

-5/(2x-3)≤2

Multiply by (2x-3)

-5≤4x-6

Add 6

1≤4x

1/4≤x

Hope it helps <3

Answer:

[tex]x \geq 1/4[/tex]

Step-by-step explanation:

=> [tex]\frac{-5}{2x-3} \leq 2[/tex]

Multiplying both sides by (2x-3)

=> [tex]-5 \leq 2(2x-3)[/tex]

=> [tex]-5 \leq 4x-6[/tex]

Adding 6 to both sides

=> [tex]-5+6 \leq 4x[/tex]

=> [tex]4x\geq 1[/tex]

Dividing both sides by 4

=> [tex]x \geq 1/4[/tex]

Answer:

The p-value is 0.809.

Step-by-step explanation:

In this case we need to perform a significance test for the standard deviation.

The hypothesis is defined as follows:

H₀: σ₀ = 4 vs. Hₐ: σ₀ ≤ 4

The information provided is:

n = 9

s = 3

Compute the Chi-square test statistic as follows:

[tex]\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}[/tex]

     [tex]=\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5[/tex]

The test statistic value is 4.5.

The degrees of freedom is:

df = n - 1

   = 9 - 1

   = 8

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{9}>4.5)=0.809[/tex]

*Use a Chi-square table.

Thus, the p-value is 0.809.

Answer:

2064 cm squared

Step-by-step explanation:

First I will try to solve for the area of each side:

Side #1(trapezoid): Area of a Trapezoid = half of sum of bases*height

A= (6+27)/2*8 = 33/2 *8 =132

Side #2(opposite trapezoid): Same area as theother one...

A= 132

Side#3(Top):

A=6*30=180

Side #4(Bottom):

A=27*30=810

Side #5(Left side):

A=10*30=300

Side #6(Right Side):

A=30*17=510

After solving for all the areas we just need to add them all up:

SA=132+132+180+810+300+510=2064 cm squared

Hope this helps!

Answer:

total surface area = 2064 cm^2

Step-by-step explanation:

Given prism with trapezoidal bases.

H=8

B1 = 27

B2 = 6

slant sides = 10, 17 cm

H = 30

Area of bases

A1 = 2 * (B1+B2)/2 * h

= 2* ( (27+6)/2 * 8 )

= 264

Area of sides

A2 = perimeter * H

= (6+17+27+10)*30

= 1800

Total area = A1+A2 = 264+1800 = 2064 cm^2

Answer:

work is shown and pictured

Correct Answer would be

D: (2,3)

Answer:

absolute minimum = -749 and

absolute maximum = 467

Step-by-step explanation:

To get the absolute maximum and minimum of the function, the following steps must be followed.

First, we need to find the values of the function at the given interval [-4, 5].

Given the function f(x) = 6x³ − 9x² − 216x + 3

at x = -4;

f(-4) = 6(-4)³ − 9(-4)² − 216(-4) + 3

f(-4) = 6(-64) - 9(16)+864+3

f(-4) = -256- 144+864+3

f(-4) = 467

at x = 5;

f(5) = 6(5)³ − 9(5)² − 216(5) + 3

f(5) = 6(125) - 9(25)-1080+3

f(5) = 750- 225-1080+3

f(5) = -552

Then we will get the values of the function at the crirical points.

The critical points are the value of x when df/dx = 0

df/dx = 18x²-18x-216 = 0

18x²-18x-216 = 0

Dividing through by 18 will give;

x²-x-12 = 0

On factorizing the resulting quadratic equation;

(x²-4x)+(3x-12) = 0

x(x-4)+3(x-4) = 0

(x+3)(x-4) = 0

x+3 = 0 and x-4 = 0

x = -3 and x = 4 (critical points)

at x  = -3;

f(-3) = 6(-3)³ − 9(-3)² − 216(-3) + 3

f(-3) = 6(-27) - 9(9)+648+3

f(-3) = -162-81+648+3

f(-3) = 408

at x = 4

f(4) = 6(4)³ − 9(4)² − 216(4) + 3

f(4) = 6(64) - 9(16)-864+3

f(4) = 256- 144-864+3

f(4) = -749

Based on the values gotten, it can be seen that the absolute minimum and maximum are -749 and 467 respectively

Answer:  [tex]\bigg(-3,\dfrac{1}{2}\bigg)[/tex]

Step-by-step explanation:

G = (-7, 3)    H = (1, -2)

[tex]M_{GH}=\bigg(\dfrac{X_G+X_H}{2},\dfrac{Y_G+Y_H}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-7+1}{2},\dfrac{3+(-2)}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-6}{2},\dfrac{1}{2}\bigg)\\\\\\.\qquad = \large\boxed{\bigg(-3,\dfrac{1}{2}\bigg)}[/tex]

The mid point of the line GH whose end points are (-7,3) and (1,-2) is (-3,1/2).

The mid point is a line which divides the line into two equal parts. The formula to calculate the mid point of line whose end points are (x1,y1) and (x2,y2) is {(x1+x2)/2,(y1+y2)/2}.

To calculate the mid point of the line GH we have to put x1=-7, x2=1,y1=3 and y2=-2 so,

the mid point is {(-7+1)/2,(3-2)/2}

=(-3,1/2)

Hence the mid points of a line GH whose end points are g(-7,3) and h(1,-2) is (-3/1/2).

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Answer:

B. [tex]\frac{6}{2x^{2} - 5x}[/tex]

Step-by-step explanation:

The product of the ratioal expressions given above can be found as follows:

[tex] = \frac{2}{x} * \frac{3}{2x - 5} [/tex]

Multiply the denominators together, and the numerators together, separately to get a single expression

[tex] \frac{2(3)}{x(2x - 5)} [/tex]

[tex] = \frac{6}{x(2x) - x(5)} [/tex]

[tex]= \frac{6}{2x^{2} - 5x}[/tex]

The product of the expression [tex]\ = \frac{2}{x}*\frac{3}{2x - 5}[/tex] = [tex]\frac{6}{2x^{2} - 5x}[/tex]

The answer is B.

Answer:

The  confidence interval is  [tex]-11.34 < \mu_1 -\mu_2 < -10.86[/tex]

Step-by-step explanation:

From the question we are told that

    The first sample size is  [tex]n_1 = 146[/tex]

    The second sample size is [tex]n_2 = 180[/tex]

    The first sample mean is [tex]\= x_1 = 51.6[/tex]

    The second  sample  mean is  [tex]\= x_2 = 62.7[/tex]

     The first standard deviation is  [tex]\sigma _1 = 9.42[/tex]

     The second standard deviation is  [tex]\sigma _2 = 14.5[/tex]

Given that the confidence level is  98% then the significance level is mathematically evaluated as

      [tex]\alpha = (100 -98 )\%[/tex]

       [tex]\alpha = 2 \%[/tex]

        [tex]\alpha = 0.02[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the z-table , the value is  [tex]Z_{\frac{\alpha }{2} } = 2.33[/tex]

The reason we are obtaining critical value of  

 [tex]\frac{\alpha }{2}[/tex]

instead of  

[tex]\alpha[/tex]

is because  

 [tex]\alpha[/tex]

represents the area under the normal curve where the confidence level interval (

[tex]1-\alpha[/tex]

) did not cover which include both the left and right tail while  

 [tex]\frac{\alpha }{2}[/tex]

is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\sigma_1^2}{n_1^2} + \frac{\sigma_2^2}{n_2^2} }[/tex]

substituting values

      [tex]E = 2.33 * \sqrt{ \frac{9.42^2}{146^2} + \frac{14.5^2}{180^2} }[/tex]

substituting values

     [tex]E = 2.33 * \sqrt{ \frac{9.42^2}{146^2} + \frac{14.5^2}{180^2} }[/tex]

     [tex]E = 0.2405[/tex]

The 98% confidence interval is mathematically represented as

      [tex](\= x _ 1 - \= x_2 ) - E < \mu_1 -\mu_2 < (\= x _ 1 - \= x_2 ) + E[/tex]

substituting values

      [tex](51.6 - 62.7) - 0.2405 < \mu_1 -\mu_2 < (51.6 - 62.7) + 0.2405[/tex]

     [tex]-11.34 < \mu_1 -\mu_2 < -10.86[/tex]

1 minute = 60 seconds

15 seconds /60 = 0.25 minutes.

Total time in minutes is 4.25

Divide total copies by total minutes:

153 / 4.25 = 36 copies per minute

Answer:

[tex]\boxed{\sf 36 \ copies \ per \ minute}[/tex]

Step-by-step explanation:

[tex]\sf 4 \ minutes \ 15 \ seconds = 4.25 \ minutes[/tex]

[tex]\sf The \ copy \ machine \ makes \ 153 \ copies \ in \ 4.25 \ minutes.[/tex]

[tex]\sf To \ find \ copies \ per \ minute, \ divide \ the \ number \ of[/tex]

[tex]\sf copies \ with \ the \ number \ of \ minutes.[/tex]

[tex]\displaystyle \frac{153}{4.25} =36[/tex]

[tex]\sf The \ copy \ machine \ makes \ 36 \ copies \ per \ minute.[/tex]

Answer: Option D, composition.

Step-by-step explanation:

In a function f(x) = y

x is the input, and the set of the possible values of x is called the domain.

y is the output, and the possible values of y is called the range.

Now, if we have two functions:

f(x) = y

g(x) = y.

we can define the composition of functions as: using the output of one function as the input of the other function, we can write this as:

f( g(x)) or fog(x)

In words, first we evaluate the function g in the point x, and the output of that is used as the input for the function f.

Then, the correct option here is D, composition.

Answer:

I think D

Step-by-step explanation:

Verticle or horizontal line test, it would be a function either way

Answer:

The probability is  [tex]P(X > x) = 0.0013499[/tex]

Step-by-step explanation:

From the question we are told that

     The mean is  [tex]\mu = 25[/tex]

      The standard deviation is [tex]\sigma = 5 \ minutes[/tex]

      The random number  [tex]x = 40[/tex]

Given that the time taken is  normally distributed  the probability is mathematically represented as

     [tex]P(X > x) = P[\frac{X -\mu}{\sigma } > \frac{x -\mu}{\sigma } ][/tex]

Generally the z-score for the normally distributed data set is mathematically represented as

        [tex]z = \frac{X - \mu}{\sigma }[/tex]

So  

     [tex]P(X > x) = P[Z > \frac{40 -25}{5 } ][/tex]

    [tex]P(X > x) = 0.0013499[/tex]

This value is obtained from the z-table