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Tcecarenko [31]
2 years ago
14

Hello everyone please I need help with this question quickly!

Mathematics
1 answer:
alisha [4.7K]2 years ago
5 0

Answer:

112.93

Explanation:

\sf \boxed{\sf Mean= \frac{interval \ midpoint \ x \ frequency }{Total \ Frequency} }

Solving Stepwise:

\rightarrow \sf \dfrac{37.5 \ x \ 100 \ + \ 75 \ x  \ 45 \ + \ 125 \ x \  67 \ + \ 175 \ x  \ 50 \ + \ 225 \ x  \ 0 \ + \ 275 \ x \ 12 \ + \ 325 \ x \ 16 }{100 + 45 +67+50+0+12+16}

\rightarrow \sf \dfrac{32750}{290}

\rightarrow \sf \dfrac{3275}{29}

\rightarrow \sf 112.9310345

\rightarrow \sf 112.93 \ (rounded \ to \ nearest \ 2 \ decimal \ places)

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What is the equation in point slope form of the line that passes through the point
Anuta_ua [19.1K]

Answer:

\large\boxed{y+2=3(x-1)}

Step-by-step explanation:

\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\\\\\text{We have the slope}\ m=3\ \text{and the point (1, -2). Substitute:}\\\\y-(-2)=3(x-1)\\\\y+2=3(x-1)

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3 years ago
Substitute 9 for x and evaluate the expression below. (x-1) -3 A, 5 B, 7 C 11 D, 13
Sphinxa [80]

Answer: The answer would be A. 5

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6 0
3 years ago
Write the equation for the line that passes through (2, -4) and is
Kryger [21]

Answer: y= x-2

Step-by-step explanation:

Perpendicularity entails the slope of line a is -1 divided by the slope of line b

m1= (-1/m2)

From y=Mx +c

We compare with x-4y=7

y=(1/4)x-7/4

Meaning m2= 1/4

m1= -1/(1/4)= -1*4= -4

((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1

x1= 2, y1= -4

((y-(-4))/(x-2))= -4

((y+4)/(x-2))= -4

Cross multiply

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3 0
3 years ago
Si un triángulo tiene una hipotenusa de 15 cm y un cateto que mide 12 cm, ¿cual es la longitud del otro cateto?
BartSMP [9]

Answer:

   

9cm

Explicación:

El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

c^{2} =a^{2} + b^{2}

Donde c es la hipotenusa y a  y b son los catetos.

Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

15^{2} =12^{2} +b^{2}

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

225=144+b^{2} \\225-144=144+b^{2} -144\\81=b^{2} \\\sqrt{81} =b\\9=b

Por lo tanto, la longitud del otro cateto es 9 cm

3 0
3 years ago
Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is betwe
Dimas [21]

Answer:

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

Step-by-step explanation:

We know mean u = 38  standard dev. s = 2

We want  P ( 37 < x < 41)

so

P( (37 - 38) / 2 <  Z) =  P(-0.5 < Z)  

P( Z <  (41 - 38)/2 ) =  P( Z < 1.5)

Find  P(Z < -0.5) = 0.3085

Find P(Z > 1.5) = 0.0668

so  P(-0.5 < Z < 1.5) =  1  - P(Z < -0.5) - P(Z > 1.5)

P(-0.5 < Z < 1.5) =  1  - 0.3085 -  0.0668

P(-0.5 < Z < 1.5) =  0.6247

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

3 0
3 years ago
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