Identify the correlation you would expect to see between the average amount of snowfall (inches) and the number of school closings.

Answer:

Step-by-step explanation:

Answer:

[tex](a)[/tex]  [tex]dy = 5sec^2(5t) \ dt[/tex]

[tex](a) \ dy = \frac{-20v}{(5+v^2)^2} \ dt[/tex]

Step-by-step explanation:

Given;

(a) y = tan(5t)

[tex](b) \ y = \frac{5-v^2}{5+v^2}[/tex]

Solving for (a)

y = tan(5t)

let u = 5t          

⇒y = tan(u)

du/dt = 5

dy/du = sec²u

[tex]\frac{dy}{dt} =\frac{dy}{du} *\frac{du}{dt} \\\\\frac{dy}{dt} = sec^2(u)*5\\\\\frac{dy}{dt} = 5sec^2(u)\\\\\frac{dy}{dt} = 5sec^2(5t)[/tex]

[tex]dy = 5sec^2(5t) \ dt[/tex]

Solving for b;

let u = 5 - v²

du/dv = -2v

let v = 5+ v²

dv/du = 2v

[tex]\frac{dy}{dv} = \frac{vdu - udv}{v^2} \\\\\frac{dy}{dv} = \frac{-2v(5+v^2) - 2v(5-v^2)}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-10v-2v^3-10v+2v^3}{(5+v^2)^2}\\\\[/tex]

[tex]\frac{dy}{dv} = \frac{-10v-10v}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-20v}{(5+v^2)^2}\\\\dy = \frac{-20v}{(5+v^2)^2} dt[/tex]

Answer:

The  value is  [tex]p-value = 0.0297[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 420 \ g[/tex]

   The The  sample  size is [tex]n = 49[/tex]

    The sample  mean is  [tex]\= x = 413 \ g[/tex]

    The  population variance is   [tex]\sigma^2 = 676[/tex]

Generally the population standard deviation is  mathematically represented as

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

     [tex]\sigma = \sqrt{676}[/tex]

     [tex]\sigma = 26[/tex]

The null hypothesis is  [tex]H_o : \mu = 420 \ g[/tex]

The  alternative  hypothesis is [tex]H_a : \mu < 420 \ g[/tex]

 Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{\sqrt{n} } }[/tex]

=>        [tex]z= \frac{ 413 - 420 }{ \frac{ 26 }{\sqrt{49} } }[/tex]

=>       [tex]z = -1.884[/tex]

The  p-value is  obtained from the z-table table and the value is  

       [tex]p-value = P(Z < -1.885) = 0.029715[/tex]

       [tex]p-value = 0.0297[/tex]

Answer:

-1/2

Step-by-step explanation:

y2-y1      1-3     -1

x2-x1      8-4      2

Answer:

124

Step-by-step explanation:

you just add 32 till u get 3968

Answer: The quotient of 3,968 ÷ 32= 124

Answer: z=8

Step-by-step explanation:

9z-3z=48

    6z=48 ⇔ combine like terms

      z=8

Hope this helps

Answer:

z = 8

Step-by-step explanation:

9z - 3z = 48

6z = 46

z = 8  

Answer:

D

Step-by-step explanation:

idk I just guessed tbh

Answer:

E -17

Step-by-step explanation:

3 times -1 is -3

-3 times 6 is -18

-18 + -1 is -17 (++)

Answer:

-77

Step-by-step explanation:

77+77=154       wrong

77+(-77)=0         right

77+0=77         wrong

77+(-76)=1        wrong

Answer:

b. -77

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold {\huge{ \boxed{ \sf{x = 62°}}}}}[/tex]

Step-by-step explanation:

Sum of angle of triangle = 180 °

Create an equation :

[tex] \sf{x + 68.5 + 49.5 = 180°}[/tex]

Add the numbers

⇒[tex] \sf{x + 118 = 180}[/tex]

Move 118 to right hand side and change it's sign

⇒[tex] \sf{x = 180 - 118}[/tex]

Subtract 118 from 180

⇒[tex] \sf{x = 62°}[/tex]

Hope I helped!

Best regards!!

Answer:

11.4

Step-by-step explanation:

57/5 as a mixed number is 11 2/5.

2/5 of a number is also known as 4/10 or 0.4, so add that to 11 to get 11.4.

Answer:

11.4

Step-by-step explanation:

57/5 = 11.4

Answer:

Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.

Step-by-step explanation:

The dimensions of a dollar bill are 15.5956 cm by 6.6294 cm by 0.010922 cm. The U.S. federal government spent $3.8 trillion in fiscal year 2011.

An Olympic swimming pool is 50 m long, 25 m wide, and 1.5 m deep. How many Olympic pools would be filled by the dollar bills spent by the U.S. federal government in 2011

From above,

The volume for the dimension of the dollar bill = 15.5956 cm × 6.6294 cm × 0.010922 cm

The volume for the dimension of the dollar bill = 1.12922 cm³

The volume for the dimension of the dollar bill = 1.12922 × 10⁻⁶ m³

The volume of the pool = 50 m  ×  25 m  ×  1.5 m

The volume of the pool = 1875 m³

Number of dollars bills that can be fitted in pool = volume of the pool/volume of the dimension of dollar bills

Number of dollars bills that can be fitted in Olympic pool =1875 m³ / 1.12922 × 10⁻⁶ m³

Number of dollars bills that can be fitted in Olympic pool = 1,660,438,180

Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.

Answer: balance is -44 dollars

This indicates he owes 44 dollars

=======================================================

Explanation:

21 + (-30) = -9 is the balance if we don't account for the overdraft fee

If we do account for the overdraft fee, then -9 + (-35) = -44 is the bank balance.

Note how I'm using negative values to indicate balances in which Nick owes money, rather than it's the amount of money he has. So he owes the bank $44.

------------

A slightly different way to get the answer is to say

21-30 = -9

-9-35 = -44

This is because adding a negative is the same as subtraction.

Answer:

2

Step-by-step explanation:

Substitute 2^x = y, where y>0

Then we get quadratic equation:

Solving this, we get y = 4 as positive root, so;

Answer is 2

​

Answer:

D is the correct answer.

Answer:

d

Step-by-step explanation:

taisha ran faster than 15.02 but slower than 14.65

Answer:  5, 3, 1, 2, 6, 4

Step-by-step explanation:

The proof should be written as follows (which is a different order than provided):

  Statement                                               Reason                                        

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

6. AE = CE and BE = DE                         6. CPCTC

This is the order provided in your question:

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

6. AE = CE and BE = DE                         6. CPCTC

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

Answer:

5

Step-by-step explanation:

The median is the middle number of the list when put in order from smallest to largest

3 3 4 5 5 5 6 6 6 7 8​

There are 11 numbers so the middle number is the  6th  ( 5 on the left and 5 on the right

3 3 4 5 5     5       6 6 6 7 8​

Answer:

The range of numbers that Nidhi might be thinking of is between 3 and 9.

Step-by-step explanation:

We are given that Nidhi is thinking of a number n, and she wants her sister to guess the number.

Her first clue is that eight less than three times her number is between one and nineteen.

Let the number Nidhi is thinking be 'n'.

So, eight less than three times her number means that;

[tex](3\times \text{n}) - 8 = 3\text{n}-8[/tex]

Now, according to the question; the above equation is between one and nineteen, so;

[tex]1< 3\text{n}-8 < 19[/tex]

Adding 8 to the whole expression;

[tex]1+8< 3\text{n}-8 +8< 19+8[/tex]

[tex]9< 3\text{n}< 27[/tex]

Dividing the whole expression by 3;

[tex]\frac{9}{3} < \frac{3\text{n}}{3} < \frac{27}{3}[/tex]

[tex]3< \text{n}< 9[/tex]

Hence, the range of numbers that Nidhi might be thinking of is between 3 and 9.

Answer:

Set of rational numbers

Step-by-step explanation:

Answer:

the set of rational numbers

Step-by-step explanation:

Edge 2021

Answer:

the answer is 988 .........

Answer:

unanswerable

Step-by-step explanation:

bruh no one can answer all these questions.  try making them seperatly that should help.

Answer: b∈∅

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

12b + 9 = 12b + 11

Subtract 12b from each side

12b-12b + 9 = 12b-12b + 11

9 = 11

This is never true, so there are no solutions

Answer:

79,816,000 people

Step-by-step explanation:

Given:

People Age 25 above = 79,816,000 people

Required

Determine the population of people over 25

The first statement of the question reads:

"In the U.S., [tex]79,816,000[/tex] people age 25 and over......"

This statement answers your question;

Hence;

Required Population = 79,816,000 people

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I had the same question and got it right

Answer:

A) [tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

B) [tex]a_{0} = a_{1} = 0[/tex]

C)   for n = 2

  [tex]a_{2}[/tex] = 1

for n = 3

 [tex]a_{3}[/tex] = 3

for n = 4

[tex]a_{4}[/tex] = 8

for n = 5

[tex]a_{5}[/tex] = 19

Step-by-step explanation:

A) A recurrence relation for the number of bit strings of length n that contain a  pair of consecutive Os can be represented below

if a string (n ) ends with 00 for n-2 positions there are a pair of  consecutive Os therefore there will be : [tex]2^{n-2}[/tex] strings

therefore for n ≥ 2

The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os

[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

b ) The initial conditions

The initial conditions are : [tex]a_{0} = a_{1} = 0[/tex]

C) The number of bit strings of length seven containing two consecutive 0s

here we apply the re occurrence relation and the initial conditions

[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

for n = 2

  [tex]a_{2}[/tex] = 1

for n = 3

 [tex]a_{3}[/tex] = 3

for n = 4

[tex]a_{4}[/tex] = 8

for n = 5

[tex]a_{5}[/tex] = 19

Answer: Associative property

Step-by-step explanation:

From the question, we are informed that Jada is evaluating 8 × 3 × 4 and that she doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first.

The property that Jada is using is the Associative property. This has to do with regrouping of the numbers and then multiplying the numbers in different groups.

Answer:

23 units

Step-by-step explanation:

Use the distance formula: d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the 2 points:

d = [tex]\sqrt{(-12 - 11)^2 + (-4 + 4)^2}[/tex]

d = [tex]\sqrt{529}[/tex]

d = 23

So, the distance is 23 units

Answer:

length of the line segment =23

Step-by-step explanation:

[tex] (11, −4) = (x_1 , y_1) \\ (−12, −4) = (x_2 , y_2) \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }[/tex]

Plug in the values into the equation

[tex]d = \sqrt{( - 12 - 11)^{2} + ( - 4 - ( - 4)^{2} } [/tex]

Simply :

-12-11=- -23

-4(-4) = -4+4=0

[tex]d = \sqrt{( - 23)^{2} + {(0)}^{2} } \\ d = \sqrt{529 + 0} \\ d = \sqrt{529} \\ d = 23[/tex]

Answer:

The components of [tex]\vec{b}[/tex] parallel and perpendicular to [tex]\vec {a}[/tex] are [tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex] and [tex]\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k[/tex], respectively.

Step-by-step explanation:

Let be [tex]\vec b = 2\,i+j-3\,k[/tex] and [tex]\vec a = 3\,i-j[/tex], the component of [tex]\vec b[/tex] parallel to [tex]\vec a[/tex] is calculated by the following expression:

[tex]\vec b_{\parallel} = (\vec b \bullet \hat{a}) \cdot \hat{a}[/tex]

Where [tex]\hat{a}[/tex] is the unit vector of [tex]\vec a[/tex], dimensionless and [tex]\bullet[/tex] is the operator of scalar product.

The unit vector of [tex]\vec a[/tex] is:

[tex]\hat{a} = \frac{\vec {a}}{\|\vec a\|}[/tex]

Where [tex]\|\vec {a}\|[/tex] is the norm of [tex]\vec a[/tex], whose value is determined by Pythagorean Theorem.

The component of [tex]\vec{b}[/tex] parallel to [tex]\vec {a}[/tex] is:

[tex]\|\vec {a}\| = \sqrt{3^{2}+(-1)^{2}+0^{2}}[/tex]

[tex]\|\vec {a}\| = \sqrt{10}[/tex]

[tex]\hat{a} = \frac{1}{\sqrt{10}} \cdot (3\,i-j)[/tex]

[tex]\hat{a} = \frac{3}{\sqrt{10}}\,i -\frac{1}{\sqrt{10}} \,j[/tex]

[tex]\vec{b}\bullet \hat{a} = (2)\cdot \left(\frac{3}{\sqrt{10}} \right)+(1)\cdot \left(-\frac{1}{\sqrt{10}} \right)+(-3)\cdot \left(0\right)[/tex]

[tex]\vec b \bullet \hat{a} = \frac{5}{\sqrt{10}}[/tex]

[tex]\vec b_{\parallel} = \frac{5}{\sqrt{10}}\cdot \left(\frac{3}{\sqrt{10}}\,i-\frac{1}{\sqrt{10}}\,j \right)[/tex]

[tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex]

Now, the component of [tex]\vec {b}[/tex] perpendicular to [tex]\vec{a}[/tex] is found by vector subtraction:

[tex]\vec{b}_{\perp} = \vec {b}-\vec {b}_{\parallel}[/tex]

If [tex]\vec b = 2\,i+j-3\,k[/tex] and [tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex], then:

[tex]\vec{b}_{\perp} = (2\,i+j-3\,k)-\left(\frac{3}{2}\,i-\frac{1}{2}\,j \right)[/tex]

[tex]\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k[/tex]

C D E

Step-by-step explanation:

All the numbers above (C D E) are negative, making them less than 0.

Answer:

C, D, and E. They are all negative, which means they are less than zero.

1.2 and 7/2 are more than one. 7/2 simplifies to 3 1/2.

Answer:

13 feet 9 inches

Step-by-step explanation:

11 feet 6 inches + 2 feet 3 inches= 13 feet 9 inches