Value of 140 degree in diagrams​

Answer:

4√2 and 5+4√2

Step-by-step explanation:

Let the two numbers be x ad y

Smaller = y

Bigger = x

If a positive real number is 5 more than another, then;

x = 5 + y ... 1

When - 10 times the smaller is added to the square of the larger, the result is 57, then;

-10y + x² = 57 ...2

Substitute 1 into 2;

-10y + (5+y)² = 57

-10y + 25+10y+y² = 57  

y²+25 = 57

y² = 57 - 25

y² = 32

y = √32

y = 4√2

Since x = 5 + y

x = 5 + 4√2

Hence rhe numbers are 4√2 and 5+4√2

Answer:

-

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

- Chi Square = 51.2

- p-value = 0.1104

- since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

- So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.

Step-by-step explanation:

Given the data in the question;

filling variance for boxes of cereal is designed to be .02 or less

sample size n = 41 boxes

standard deviation S = 0.16 ounces

level of significance = 0.05

Hypothesis;

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

{ Upper tail test }

Test statistics;

Chi Square = [ ( n-1 ) × S² ] / σ²

Chi Square = [ ( 41-1 ) × (0.16)² ] / 0.02

Chi Square = [ 40 × 0.0256 ] / 0.02

Chi Square = 1.024/ 0.02

Chi Square = 51.2

Degree of freedom df = n - 1 = 41 - 1 = 40

Chi square value at 0.05  and df of 40 = 55.7585

p-value = 0.1104

since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

Answer: 12%

Step-by-step explanation:

Original amount = Rs 1550

VAT = Rs 1736 - Rs 1550 = Rs 186

VAT rate = VAT/Original amount × 100

= 186/1550 × 100

= 18600/1550

= 12%

Therefore, the VAT rate is 12%.

Check:

= Rs 1550 + (12% × Rs 1550)

= Rs 1550 + $186

= Rs 1736

Answer: Hello your question has some missing data that I was able to find and attach below

A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted to assess how age, systolic blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker.

answer :

The condition : Client age ≤ 31.26 years

Step-by-step explanation:

First step : perform a regression analysis via excel ( result attached below )

P-value = 2.06E-07

Next determine the condition on which the company will sell its policy

Y = - 91.7595 +  1.0767x1 + 0.2518x2 + 8.7399x3

1  < -91.7595 + 1.0767x1 + 0.2518*200 + 8.7399*1

make X1 subject of equation above

X1 < 31.26

Answer:

The answer for the first is $350,325.378, I think

Step-by-step explanation:

I hope this helps, if im wrong im sorry

Answer:

interest: 945,  FV: 6345

FV= 323711.4, Interest: 226211.4

25.21 years

Step-by-step explanation:

question 1:

simple interest formula

PV(1+it)

30 months is equal to 30/12 years or 2.5 (so t= 2.5)

5400(1+.07*2.5)= 6345

This is the future value, to find the interst subtract the present value

6345-5400= 945

2.)

future value of continously compounding interst:

PV(e^(it))

97500*e^(.06*20)= 323711.4

finding the interest is the same as the last one

323711.4-97500=226211.4

3.)

same formula

let x= time in years

[tex]30000=7500e^{.055x}\\4=e^{.055x}\\\ln(4)=.055x\\x=25.20535202[/tex]

i guess we can round this to 25.21

Answer:

The answer is 0.01

Step-by-step explanation:

so in order to round it you have to know after the decimal it goes: tenths, hundreds, thousands (0 tenths, 0 hundreds, 0 thousands)

So 0.007492, take the first 3 numbers after the decimal, 0.007, since it will be in the hundreds place, lets see if we can round the 0 up. If the number behind 0 is greater then or equal to 5 round up, if the number is less then 5 then it stays the same. Since 7>5 it rounds up, so the 0 becomes 1. So your new number will be 0.01

Hoped this helped :D

By rounding 0.007492 to the nearest hundredth, we get 0.01.

The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Example: 0.3879 rounded to the nearest hundredth is 0.39.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Example: 0.3823 rounded to the nearest hundredth is 0.38.

Given number is 0.007492.

Rounding to nearest hundredth, we get:

0.00749 ⇒ 0.01.

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Answer:

6

Step-by-step explanation:

1) A B C

2) B A C

3) C A B

4) A C B

5) B C A

6) C B A

(I probably understood it incorrectly)

Step-by-step explanation:

10x-3(x-6)=x+30

10x-3x+18=x+30

7x+18=x+30

6x=12

x=2

Answer:

x=2

Step-by-step explanation:

10x-3(x-6)=x+30

Distribute

10x -3x+18 = x+30

Combine like terms

7x +18 = x+30

Subtract x from each side

7x-x +18 = x+30-x

6x +18 = 30

Subtract 18

6x+18-18 = 30-18

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Answer:

3) 7square+11square=xsquare

49+121=x square

170=x square

x=13.038

5)9square+40square=x square

81+1600=x square

1681=x square

x=41

6)4square+6square=x square

16+36=x square

x square=52

x=7.211

i do not answer the fourth question.sorry if i can i will try

Answer:

-2 and -4

Step-by-step explanation:

→ Make variable's for each number

x is the first variable and y is the second

→ Form equations

2x + y = -8

x - y = 2

→ Solve

3x = -6

→ Divide both sides by 3

x = -2

→ Resubstitute that into one of the equations

-2 - y = 2

→ Add 2 on both sides

-y = 4 therefore y = -4

9514 1404 393

Answer:

  56

Step-by-step explanation:

We are given ...

  mangoes : oranges = 2 : 5

Then the ratio we want is ...

  (mangoes +oranges) : oranges = (2 +5) : 5 = 7 : 5

The total number of fruits in the basket is ...

  (7/5)(40) = 56 . . . mangoes + oranges in the basket

Step-by-step explanation:

For the first one, you have the -2 step right, but now we're at

f(x) -2 = x³

We have to take the cube root of each side to solve for x, which looks like

∛(f(x)-2) = x or (f(x)-2)^(1/3) = x. This makes our inverse function ∛(x-2) Putting a 3 to the side multiplies the value by 3, and doesn't cube root it.

For your next incorrect answer, you simply need to plug the inverse function that I just gave in.

For the one after that, the question is asking to plug in f(x). We know that our inverse is ∛(x-2) , and the question is asking to plug f(x) in for x here. Thus, in the box, simply put down x³+2

For the last incorrect answer, we need to find the cube root of something, and by plugging in f(x) into the previous one, we are left with ∛(x³+2-2). Therefore, in the box, simply put down x³ as that is what's left

Answer:

m(∠LMK) = 27.9°

Step-by-step explanation:

We have to calculate the measure of angle LMK.

Measure of opposite side (KL) = 7.4

Measure of adjacent side (ML) = 14

By applying tangent rule in the given triangle,

tan(∠LMK) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                 = [tex]\frac{KL}{ML}[/tex]

                 = [tex]\frac{7.4}{14}[/tex]

                 = 0.52857

m(∠LMK) = [tex]\text{tan}^{-1}(0.52857)[/tex]

               = 27.9°

Answer:

volume = 1,000

surface area = 930

Step-by-step explanation:

the volume = (½×(14+6) ×4) × 25

= 1,000 cm³

the surface area =

(2×½×(14+6) ×4) + ((14+7+7+6) ×25)

= 80+850

= 930 cm²

Step-by-step explanation:

jnx-avkj-uup p.l.z join

Answer:

C

Step-by-step explanation:

The absolute value of |13| and |-13| is always 13. It never goes negative unless there is a minus sign outside the absolute value |  |   symbol. A is wrong

B: Not correct. Read the explanation for A. The answer to B is - 13

C: Correct. See the remark the was made about A

D: Incorrect as well. The minus is outside the absolute value symbol. The answer is - 13

Answer:

C .////.

Step-by-step explanation:

When you have /13/ its always positive even if there's a negative in there. If there was the negative symbol on the outside its a negative number :)

Answer:

24

Step-by-step explanation:

diff is 12

12x2 is 24

Answer:

m=4, -1

Step-by-step explanation:

if i am interpreting this correctly, you are wanting to find at what value of m would the solution be zero.

so, there are two expressions that can cause an answer of 0.

1) if 0=m2-4

so solve for m2, and you get 4=m2

2) if 0=m2+1

solve for m2, and you get -1=m2

you can check your work by plugging the values back into the equation.

P(m)=(4-4)(4+1)

=(0)(5)

=0

and

P(m)=(-1-4)(-1+1)

=(5)(0)

=0

Answer:

The correct answer is "7,239".

Step-by-step explanation:

Given values:

Standard price,

SP = $1.90

Actual quantity purchased,

AQP = [tex]5.08\times 9500[/tex]

        = [tex]48,260 \ Yards[/tex]

Actual price,

AP = $2.05

Now,

The material price variance will be:

= [tex](AQP\times AP)-(AQP\times SP)[/tex]

By substituting the values, we get

= [tex](48260\times 2.05)-(48260\times 1.90)[/tex]

= [tex]98933-91694[/tex]

= [tex]7,239[/tex]

Answer:

1886 miles

Step-by-step explanation:

82 x 23 is 1886, 82 miles each day times 23 days.

Answer: The Last Choice- D. 2/3 x 2/5

Step-by-step explanation:

I guessed the answer............ JK

1/3 x 1/5 = 1/15

1/3 x 2/5 = 2/15

2/3 x 1/5 = 2/15

2/3 x 2/5 = 4/15

So, the last choice is correct.

Answer:

43.82 mph

266.67 feet

Step-by-step explanation:

Given :

S = √30fl

S = speed of car

f = drag Coefficient

l = Length of skid mark

If f = 0.8 ; l = 80 feets

s = √30fl

s = √(30*0.8*80)

s = √1920

s = 43.817

s = 43.82 mph

B.)

s = 80 mph

f = 0.8

s = √30fl

80 = √30*0.8*l

80 = √24l

Square both sides

80² = 24l

6400 = 24l

l = 6400/24

l = 266.67 feets

Answer:

The missing angle is 120

Step-by-step explanation:

Given

See attachment

Required

The missing angle (?)

Let the missing angle be x

So:

[tex]x + 60 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]x = 180-60[/tex]

[tex]x = 120[/tex]

Answer:

because f(n) = f(n + 1)

=> f(3) = f(2) = f(1) = 9

Answer : A,D,G

Step-by-step explanation:

A factor of experiment is the controlled independent variable.

The factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

A factor of experiment is the controlled independent variable.

Given information

The experiment is conducted on the basis of age.

The experiment is not conducted on the basis of gender.

In the experiment the relation between watching TV a lot or playing video game and child's academic success at school and/or their success at sports tried to obtained.

Factors of this experiment-

Thus the factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

Learn more about the  factor of experiments here;

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Answer:

PE/SE = 5.02×10¹

Step-by-step explanation:

Sun-Earth (SE) = 93×10⁶ miles

Pluto-Earth (PE) = 4.67×10⁹ miles

so, PE/SE = (4.67×10⁹) / (93×10⁶) = (4.67×10³)/93 =

= 50.215053763440860215... =

= 5.02×10¹ / 1 or simply 5.02×10¹

in other words, Pluto is a little bit more than 50 times farther away from Earth, than Earth is from the Sun.

Answer:

A, B, E

Step-by-step explanation:

In the list of rational functions, 1st, 2nd, 4th, and 5th are the rational functions those have an oblique asymptote.

"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."

The given rational functions are:

1. [tex]f(x) = \frac{x^{2}+1}{x}[/tex]

As the degree of numerator(2) is greater than the degree of denominator(1), This function has an oblique asymptote.

2. [tex]f(x) = \frac{4x^{2}-6}{x+1}[/tex]

As the degree of numerator(2) is greater than the degree of denominator(1), This function has an oblique asymptote.

3. [tex]f(x) = \frac{-x}{x^{2} }[/tex]

As the degree of numerator(1) is less than the degree of denominator(2), This function does not have an oblique asymptote.

4. [tex]f(x) = \frac{x^{5}}{x^{3}+1}[/tex]

As the degree of numerator(5) is greater than the degree of denominator(3), This function has an oblique asymptote.

5. [tex]f(x)= \frac{x^{3}+2}{x^{2}+3x}[/tex]

As the degree of numerator(3) is greater than the highest degree of denominator(2), This function has an oblique asymptote.

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Answer:

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz