Find the value of x that makes m|n.
m
(6x + 10)
(2x + 26)
The value of x is ?

Answer:

The 99% confidence interval of the  standard deviation of the pulse rates of men is  

       [tex][ 7.949 \  \ , \  14.387 ][/tex]

Step-by-step explanation:

From the question we are told that

  The  sample size is  n  =  40

  The mean is  [tex]\= x = 67.3 \ beats \ per \ minute[/tex]

  The standard deviation is  [tex]s = 10.3 \ beats \ per \ minute[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df = n- 1[/tex]

=>  [tex]df = 40- 1[/tex]

=>  [tex]df = 39[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the chi distribution table the critical value  of   at a degree of freedom of is  

   [tex]X^2 _{\frac{\alpha }{2} , 39} =  65.476[/tex]

Generally from the chi distribution table the critical value  of   at a degree of freedom of is  

   [tex]X^2 _{1- \frac{\alpha }{2} , 39} =  19.996[/tex]

Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as

  [tex]s \sqrt{\frac{n- 1}{X^2_{1- \frac{\alpha }{2} , n-1} } }\  \ , \ s \sqrt{\frac{n- 1}{X^2_{\frac{\alpha }{2} , n-1} } }[/tex]

=>  [tex]10.3 \sqrt{\frac{40- 1}{65.476} }\  \ , \ 10.3 \sqrt{\frac{40- 1}{19.996} }[/tex]

=>  [tex][ 7.949 \  \ , \  14.387 ][/tex]

Answer: 0.111947

Step-by-step explanation:

Let x be a binomial variable that represents the number of people with​ 20-20 vision.

Given: The probability that an individual has​ 20-20 vision: p= 0.13

Sample size : n= 24

Binomial probability distribution formula:

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

The probability of finding five people with​ 20-20 vision :

[tex]P(X=5)=\ ^{24}C_5(0.13)^5(1-0.13)^{24-5}\\\\=\dfrac{24!}{5!19!}(0.13)^5(0.87)^{19}\\\\=0.111946975387\approx0.111947[/tex]

Hence, the required probability = 0.111947

The probability of finding five people with 20-20 vision is 0.0461.

The formula for the Binomial Probability is,

[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}[/tex]

Given that,

[tex]p = 0.13\\1 - p = 0.87\\n = 72\\x = 5[/tex]

Substituting the given values into the above formula we get,

[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}\\P(X=5)=(\frac{72!}{5!(72-5)!} ) (0.13)^5(0.87)^{72-5}\\P(X=5)=0.0461[/tex]

Learn more about the topic Binomial Probability:

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Answer:

Well the correct answer for this is 8 periods long

Step-by-step explanation:

did this on edg it should be right

Answer:

8 periods is correct

Step-by-step explanation:

Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

[tex]Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100[/tex]

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

Examples:

| -8 | = 8

| 8 |  = 8

and

| -2 | = 2

| 2 |  = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equation[tex]Percent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =[/tex]

Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.

Hope this helps :)

Answer:

the answer is 0.58

Step-by-step explanation:

4.64÷8 is that so

Answer:

4 6/7

Step-by-step explanation:

34/7

We finds out how many 7s are in 34

5 * 7 is 35, so it must be 4.

when 34 is divided by 7, the answer would be 4 and 6 remainders.

put the remainders back into the nominator part of the fraction.

so it's 4 6/7

Answer:

p= 21

Explanation:

FIRST DO

3(21) -7

3 × 21 = 63

63 - 7 = 56

THEN DO

6(21) - 2

6 × 21 = 126

126 - 2 =  124

FINALLY

It needs to add up to 180°

124 + 56 = 180°

Therefore, the value of p = 21

Hope this helps!!! :)

Answer: Ten and 91/100.

Step-by-step explanation:

Answer:

0.42 ft

0.92 ft

Step-by-step explanation:

Width of mural on painting = 5 inches

Height of mural on painting = 11 inches

12 inches of the painting represents 1 foot of the mural

1 inch of the painting represenets [tex]\dfrac{1}{12}[/tex] foot of the mural.

[tex]5\ \text{inches}=5\times \dfrac{1}{12}=0.42\ \text{ft}[/tex]

[tex]11\ \text{inches}=11\times\dfrac{1}{12}=0.92\ \text{ft}[/tex]

The width of the mural is 0.42 ft and height of the mural is 0.92 ft.

The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.

Since

Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.

So here the width should be 5 of 1 by 12 should be 0.42 feet

And, the height should be 11 of 1 by 12 should be 0.92 ft.

Hence, The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.

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Answer:

Exact Form:

p=1/8

Decimal Form:

p=0.125

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

The perimeter of the marked polygon is 26 units.

Perimeter is the distance around the outside of a shape.

Given is a polygon, ABCDEF,

Using the distance formula, we have,

(P, Q) = √ (x2 – x1)² + (y2 – y1)².

AB = 3 units

BC = 4 units

CD = 3 units

DE = 7 units

EF = 6 units

FA = 3 units

Perimeter = AB+BC+CD+DE+EF+FA = 3+4+3+7+6+3 = 26 units.

Hence, The perimeter of the marked polygon is 26 units.

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Answer:

Step-by-step explanation:

168000*28%=47,040

Answer:

the awnser is 250 i took the test and got it correct

Step-by-step explanation:

Answer:

300÷1.20

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.45/(3/4)

3.45/0.75

4.6$ per pound

Answer:-2=-2

Step-by-step explanation: i took the assignment

the slope would be 8/1

your welcome

Answer:

I’ll go horizontal.

Step-by-step explanation:

-0.6 0.95 3.8

0.46 -1.625 0.76

4.4594594594595 −5.2727272727273 0.70833333333333

6.21875 7.4090909090909 −1.3541666666667

Hope this helped! :)

Answer:

The answer is 4 to 5

Step-by-step explanation:

The ratio 36 to 45 simplified is 4 to 5

36 divided by 9 = 4

45 divided by 9 = 5

Answer:

x = -6

Step-by-step explanation:

Answer:

ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr = 42

Step-by-step explanation:

Answer:

go back to 1st grade

Answer:

I Think C most likey because u can dived them very easily

Answer:

NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.

AB = EF, BC = FG, AC = EG

Step-by-step explanation:

According to the SSS Congruence statement, for ∆ABC to be congruent to ∆EFG, all the sides of ∆ABC must be congruent to all the corresponding sides of ∆EFG.

This means that:

AB must be congruent to EF

BC must be congruent to FG

AC must be congruent to EG

Therefore, additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem are:

AB = EF, BC = FG, AC = EG

NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.

Answer:

It is False.

Step-by-step explanation:

When you substitute the coordinates into the inequality equation :

[tex]y \geqslant 10x + 5[/tex]

[tex]let \: x = 5,y = 10[/tex]

[tex]10 \geqslant 10(5) + 5[/tex]

[tex]10 \geqslant 55 \: (false)[/tex]

Therefore, 10 isn't greater than 55.

[tex]\qquad\quad {:}\longmapsto\sf x=5 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf y=10 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf y \geqslant 10x+5[/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 10 (5)+5 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 50+5 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10 \lt 55 [/tex]

[tex]\therefore \sf y \geqslant 10x+5 {\boxed {False}}[/tex]

Answer:

c plz give brainliest

Step-by-step explanation:

Answer:

A.) 81

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Answer:

504

Step-by-step explanation:

Answer:

20.484

Step-by-step explanation:

Just add it up, 3.484 plus 17 is equal to 20.484.

  3.484

+ 17

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

Answer: the vector orthogonal is  ( 0, 26, -13 )

Step-by-step explanation:

Given that;

P(2, 0, 2),  Q(−2, 1, 4), R(7, 2, 6)

PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)

PR = R - P = (7, 2, 6)  - (2, 0, 2) = ( 5, 2, 4)

SO

orthogonal vector = PQ × PR

= ║ i    j    k

    -4   1   2          = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k

     5   2   4  ║

= ( 0, 26, -13 )

Therefore the vector orthogonal is  ( 0, 26, -13 )

Answer:

46 is the answer

Step-by-step explanation:

Because:

a2 + c(2+b)

3(2) + 5(2+6)

6 + 5(8)

6 + 40

46

Answer:

49

Step-by-step explanation:

a² + c(2+b) = a² + 2c+bc

Expand first.

a² + 2c+bc = 3² + 2(5) + 6×5

Substitute a, b and c with actual values.

3² + 2(5) + 6×5 = 9 + 10 + 30

Evaluate.

9 + 10 + 30 = 49

Simplify.