300/12.500000000000000000​

Answer:

The distance between T and S is 10 units.

Step-by-step explanation:

Given the points

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between T and S is:

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]=10[/tex]              ∵ [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

Therefore, the distance between T and S is 10 units.

Answer:

There are 5 sales per minute!

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. Basically 5 is the unit rate! 5/1 is 5!

Answer:

A.

Step-by-step explanation:

We have the expression:

[tex]-6a+2(2a+2)[/tex]

First, let’s distribute the 2 on the right:

[tex]=-6a+2(2a)+2(2)[/tex]

Multiply:

[tex]=-6a+4a+4[/tex]

Now, combine like terms:

[tex]=-2a+4[/tex]

Hence, our answer is A.

Answer:

a

Step-by-step explanation:

Answer:

y-mx+b

Step-by-step explanation:

Answer:

1.782

Step-by-step explanation:

8.91 ÷ 5= 1.782

Answer: 1.782

Step-by-step explanation:

Divide  8.91  by  5

1.782

Answer:26

Step-by-step explanation:

Gia's final number, if her starting number is 9 is 22

The rule of Gia's number is given as:

y = 2x + 4

Where x represents the starting number and y represents the final number.

Substitute 9 for x in y = 2x + 4

y = 2 * 9 + 4

Evaluate

y = 22

Hence, Gia's final number is 22

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Answer:

Step-by-step explanation:

-20x + 12 + 15

-20x + 27

Answer:

F(-3) = -7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

F(x) = 4x + 5

F(-3) is x = -3

Step 2: Evaluate

Answer:

He has been saving for 41 weeks.

Step-by-step explanation:

492 is the total, we need to divide 492 by 12 to get how many weeks, 41 is the answer

Answer:

The probability is  [tex]P( p < 435.82 ) = 0.54094[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  54% = 0.54

    The sample size is  n  =  808

Generally the distribution of the population with college degree follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

Generally the mean is mathematically represented as

       [tex]\mu = n * p[/tex]

=>    [tex]\mu = 808 * 0.52[/tex]

=>    [tex]\mu = 420.16[/tex]

Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{np(1- p )}[/tex]

=>      [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]    

=>      [tex]\sigma = 14.2[/tex]

Generally 54% of the population proportion is

         [tex]\^ p = 0.54 * 808[/tex]

=>     [tex]\^ p = 436.32[/tex]

Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as

      [tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>  [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]

applying continuity correction

      [tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]

From the z table  the area under the normal curve to the left corresponding to 0.1028  is

   [tex]P( Z < 0.1028 ) = 0.54094[/tex]

=> [tex]P( p < 435.82 ) = 0.54094[/tex]

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Answer:

(x+9)-3

Step-by-step explanation:

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Answer:

4500

Step-by-step explanation:

As long as your number isn't less than 500, it will always round up.

The required least weight of the elephant is 4500 pounds.

Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.

The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.

Thus, the required least weight of the elephant is 4500 pounds.

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Answer:

8

_

12 I think

that's it it you can cross multiple it will be 7/10

Answer:

Step-by-step explanation:

Answer:

T_T said to 个_个: Hallo, I am so happee!!!

Step-by-step explanation:

Plz mark as Brainliest!

Answer:

Option (C)  [0.2574 , 0.2626]

Step-by-step explanation:

Of 250 convicts, there are 65 cases of recidivism.

- Construct a 99% confidence interval for the proportion of cases of recidivism.

This calls for first finding the proportion of cases of recidivism. This will be 65/250  = 0.26

You are 100% confident that the proportion of cases of recidivism is 0.26

You will be 99% confident that the recidivism cases are between:

99% of 0.26  = 0.2574

1% of 0.26  = 0.0026

[0.26 - 0.0026] , [0.26 + 0.0026]  = [0.2574 , 0.2626]

This should be OPTION C, as that option is missing in the list of options.

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

Answer:

???

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(x₁ , y₁) = (-1 , -2)   &    (x₂ , y₂) = (3 , 10)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]

m  = 4

y - y₁ = m (x - x₁)

y - [-2] = 4(x - [-1])

y + 2 = 4(x + 1)

y + 2 = 4x + 4

    y = 4x + 4 - 2

    y = 4x + 2

Answer:

108 ounces is equal to 6.75 pounds.

Step-by-step explanation:

Answer:

Your answer is: 6.75 pounds

108 ounces equal to about 7 pounds if you round.

Step-by-step explanation:

Hope this helped : )

Answer:

The probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Step-by-step explanation:

Let X denote of age of JSOM students.

The information provided is:

[tex]\mu=24\\\sigma=9\\n=36[/tex]

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.

Compute the probability that the sample mean will be between 25.5 and 27 years as follows:

[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]

Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Answer:

Terminating goes to 3

Repeating goes to 4

Rational goes to 1

Irrational goes to  2

Answer:

1. Rational Number

2. Irrational Number

3. Terminating Decimal

4. Repeating Decimal

Step-by-step explanation:

A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).  

I would like to apologize in advance if any of these were incorrect.

Answer:

3 hours 15mins

Step-by-step explanation:

in 1 hours time, A will complete 1/15 of the job, B will complete 1/18 and C 1/15.

After 3 hours, A completed 3/15 (aka 1/5) of the job, B 3/18 (aka 1/6) and C being the same as A.

total job done after 3 hrs is 1/5 + 1/6 + 1/5 which is 17/30 of the job

left: 13/30

in 1 hr, A and C will do 2/15 of the job (4/30)

therefore, no. of hours needed: 13/4 hours = 3.25 hours (3 hours 15mins)

Answer:

95% Confidence Interval = (0.037, 0.104)

Step-by-step explanation:

The formula for Confidence Interval if a proportion is:

p ± z × √p(1 - p)/n

z = z score of a 95% confidence interval = 1.96

p = proportion = x/n

x = 16, n = 227

p = 16/227

p = 0.0704845815

≈ 0.0705

Confidence Interval

= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227

= 0.0705 ± 1.96 × √0.0002886773

= 0.0705 ± 0.0333013921

Confidence Interval

= 0.0705 - 0.0333013921

= 0.0371986079

≈ 0.037

= 0.0705 + 0.0333013921

= 0.1038013921

≈ 0.104

Hence, 95% Confidence Interval = (0.037, 0.104)