Find the outlier of the data set {20, 100, 75, 85, 90, 80, 75).

Answer:

A) 1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-3)/(4-(-6))

m=5/(4+6)

m=5/10

m=1/2

Answer:

C

Step-by-step explanation:

[tex]\frac{35}{100}*1800\\35*18\\[/tex]

630

The portion of protein will be 630.

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.

Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,

Here the portion of protein = 35%

So,

35 / 100 × 1800 = 630

Hence the portion of protein will be 630.

Learn more about pie chart click;

https://brainly.com/question/1109099

#SPJ2

Answer:

8x-8

Step-by-step explanation:

if Lana is X year

then that makes Yan 3X-4

the father is twice the sum of their ages

3X-4+X=4X-4

the father being twice

his age should be

8X-8

Answer:

Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.

Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.

Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)

Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.

Podemos relacionar estas cantidades con porcentajes de la siguiente manera:

N = P

T = 100%

Donde P es el porcentaje que queremos calcular.

Si tomamos el cociente de esas dos ecuaciones, obtenemos:

N/T = P/100%

Resolviendo para P obtenemos:

(N/T)*100% = P

El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:

P = (N/T)*100%

Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.

Particularmente decis que no sabes si colocar 3% o 4%.

Lo que podria implicar que tambien quizas tengas un problema de redondeo.

Si tenes un numero como:

3.a%

donde a es un digito entre 0 y 9

si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:

3.a% = 3%

si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:

3.a% = 4%.

Answer:

301.42 ft from base

Step-by-step explanation:

We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer

Answer:

6. Line graph

Step-by-step explanation:

It shows how information changes over time

C. Inherited traits carry the instructions for individual genes is the statement that does not describe the relationship between genes and inherited traits. Genes carry the instructions for inherited traits, not the other way around.

Answer:

1212

Step-by-step explanation:

Answer:

1. 15x-10

2. x²-x-12

3. x²-8x+12

4. 2x³+4x²-30x

5. 6x³- 12x²+6x

6. 4x³+12x²-20x

Step-by-step explanation:

4.2x(x+5)(x-3)

= 2x(x²-3x+5x-15)

= 2x(x²+2x-15)

= 2x³+4x²-30x

Answer:

21

Step-by-step explanation:

Answer:

18.87 units

Explanation:

the estimated distance from a to d is the same as a to b. we can find the length of the diagonal using pythagoras' theorem:

a² + b² = c²

√(2² + 3²) = 3.6056 (to 5s.f.)

now, we can use the same method to calculate the distance between d and c, as well as c and b:

√(3² + 5²) = 5.8310 (to 5s.f.)

adding these values, we will get:

(3.6056 + 5.8310) × 2 = 18.87 units (to the nearest hundredth)

i hope this helps! :D

Answer:

D. The mean will increase and the median will remain the same

Step-by-step explanation:

First I’d order them from smallest to largest in the data set:

3, 5, 6, 6, 7, 11

The median here is 6.

Then the mean would be 6.33

Then it says if 3 is removed:

5, 6, 6, 7, 11

So we would know the median is 6

The mean here would be 7

So we can see the mean increases but the median stays the same, therefore the answer is D

Answer:

Option C

Step-by-step explanation:

sorry if I'm wrong..

Answer:

The answer is B, P = 12(1.004)^t

A growth rate of 0.4% means you have to multiply by 1.004

B is the only answer with this number, so B is the correct choice.

Answer:

0.2

Step-by-step explanation:

[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2

X= 54

hope it helps

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Therefore given that μ = $85900, σ = $11000, n = 35.

For x > 70000:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]

For x < 100000

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]

From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%

Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83

Answer:

x=30

Step-by-step explanation:

2x=x+30

x=30

Answer:

I'm confused on what you're trying to ask

Answer:

[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Step-by-step explanation:

When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Answer:

a) 33

Step-by-step explanation:

triangle inequality theorem

- the sum of any two sides of a triangle must be greater than the third

Answer:

They are not equal

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: There is no solution, due to the left and right sides not being equal.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Step-by-step explanation:

This is an altitude hypotenuse problem.

Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2

Answer:

Angle Z = 180-32 -90 = 58 degrees

sine (32) = y / 16

y = 16 * sine (32)  

y = 16 * 0.52992

y = 8.47872

x^2 = 16^2 -y^2

x^2 = 256 -71.888

x^2 = 184.112

x = 13.568

Step-by-step explanation:

Answer:

x = 13·568, y = 8·47 and z = 58

Step-by-step explanation:

I don't think the question required you to use the Pythagoras theorem but here are some pointers anyway.

The reason I said that this question might not solely require you to use the Pythagoras theorem is because you need to have two variables for the equation to work, maybe this is what got you confused.

For this question, you're required to use Tangents, Sines and Cosines, or you can combine this method and Pythagoras method.

Method one: Using Tangents, Sines and Cosines AND the Pythagoras theorem

Step 1: Looking for x(Using Sin, Cos and Tan)

To find the length of side x, we need to use the Cosine of 32°

Cos 32° = Adjacent side ÷ Hypotenuse

0·8480 = x/16

Make x the subject and multiply both sides by 16

0·8480 × 16 = x/16 × 16

13·568 = x

∴ side x is 13·568

Step 2: Looking for y( using the Pythagoras theorem)

a² + b² = c²

a = y, b = x = 13·568, c = 16

y² + 13·568² = 16²

y² + 184·0906 = 256

y² = 256 - 184·0906

y² = 71·9094

y = √71·9094

y = 8·4799

Method 2: Using Tan, Cos and Sin only

Step 1 remains the same as shown above; x = 13·568

Step 2: Looking for y

Y can be gotten by using the Sine of 32°

Sin 32° = Opposite ÷ Hypotenuse

Sin 32° = y ÷ 16

0·5299 = y/16

Make y the subject and divide both sides by 16

0·5299 × 16 = y/16 × 16

8·4784 = y

∴ y is equal to 8·4784

(I know there's a difference in points of the two values of y, but if you round them off to 2 decimal places we see it remains 8·47

   2. Looking for z:

Using addition and subtraction

The simpler method would be to just add all the internal angles.

32 + 90 + z = 180

122 + z = 180

z = 180 - 122

z = 58

∴ z is equal to 58°

Using Tan, Sin and Cos

The cosine of Z is equal to y divided by 16, where y = 8·47

Cos z = 0·5294

Make z the subject and divide both sides by Cos.

z = 0·5294/Cos

z = 58·04° (I just used the anti-cos to get this number. Press shift, and cos on your calculator then type 0.5294 in front of it)

Here there is also a slight difference in points between the two steps but if you round off step 2 to a whole number you get 58, so it's all good :)

HOPE THIS HELPS!!! :)

el numerador será 512 ya que en esta suma el numero mas alto es el 512

Answer:

See the explanation below

Step-by-step explanation:

Given data

Amount invested= $700

Time = 1 year

Say the percent increase for both investments is

The representation of the linear investment A is given by the linear function

y=mx+c

here m= the percent increase

        x= the time taken and

        c= the invested amount

By linear increase, any increment in x that is the time will lead to a corresponding increase in the y value which is the final amount

The representation of the exponential investment A is given by the linear function

y=ab^x

here a= the invested amount

        b= the rate

        x= the time

By exponential increase, any increment in x that is the time will lead to a "non-compliant"/ non-corresponding increase in the y value which is the final amount

Complete question is;

Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.

8. θ = -25°

9. θ = -390°

Answer:

8) Negative coterminal angle = -385°

Positive coterminal angle = 335°

9) Negative coterminal angle = -750°

Positive coterminal angle = 330°

Step-by-step explanation:

For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.

Thus;

8) for θ = -25° ;

Negative coterminal angle = -25° - 360° = -385°

Positive coterminal angle = -25° + 360° = 335°

9) For θ = -390° ;

Negative coterminal angle = -390 - 360 = -750°

Positive coterminal angle = -390 + 360 = -30°

Since it's negative, we add 360 again till it's positive.

Thus = -30° + 360 = 330°