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Nataliya [291]
3 years ago
12

What is D=60 times 3.5

Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer:not sure i completly understand, but 60 times 3.5 equals 210

Step-by-step explanation:

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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U
alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0
3 years ago
The 18th term of an arithmetic sequence is 49 and the first term is 15.
Tju [1.3M]

Answer:

33

Step-by-step explanation:

49-15=34

34/17=2

For this sequence, you can write this function:

f(x)=15+2(x-1)

Check:

f(18)=15+2(18-1)

f(18)=15+2(17)

f(18)=15+34

f(18)=49

So:

f(10)=15+2(10-1)

f(10)=15+2(9)

f(10)=15+18

f(10)=33

5 0
3 years ago
Critérios de divisibilidade dos números 2,3,4,5,6,8 e 10
san4es73 [151]

Step-by-step explanation:

Los criterios de divisibilidad nos ayudan a saber de antemano cuándo un número natural es divisible por otro.

Ser divisible significa que cuando dividimos estos números, el resultado será un número natural y el resto será igual a cero.

Presentaremos los criterios de divisibilidad por 2, 3, 4, 5, 6, 7, 8, 9 y 10.

Divisibilidad por 2

Cada número cuyo dígito unitario sea par será divisible por 2, es decir, los números que terminan en 0, 2, 4, 6 y 8.

Ejemplo

El número 438 es divisible por 2 ya que termina en 8, que es un número par.

Divisibilidad por 3

Un número es divisible por 3 cuando la suma de sus dígitos es un número divisible por 3.

Ejemplo

Verifica que los números 65283 y 91277 sean divisibles por 3.

Solución

Sumando los dígitos de los números indicados, tenemos:

6 + 5 + 2 + 8 + 3 = 24

9 + 1 + 2 + 7 + 7 = 26

Dado que 24 es un número divisible por 3 (8. 3 = 24), entonces 65283 es divisible por 3. El número 26 no es divisible por 3, por lo que 91277 tampoco es divisible por 3.

Divisibilidad por 4

Para que un número sea divisible entre 4, sus dos últimos dígitos deben ser 00 o divisibles entre 4.

Ejemplo

¿Cuál de las siguientes opciones tiene un número que no es divisible por 4?

a) 35748

b) 20500

c

) 97235 d) 70832

Solución

Para responder a la pregunta, verifiquemos los dos últimos dígitos de cada opción:

a) 48 es divisible por 4 (12. 4 = 48).

b) 00 es divisible por 4.

c) 35 no es divisible por 4, ya que no hay un número natural que multiplicado por 4 sea igual a 35.

d) 32 es divisible por 4 (8.4 = 32)

Entonces la respuesta es la letra c. El número 97235 no es divisible por 4. S

3 0
2 years ago
2x^2-12x-32=0 solution
Charra [1.4K]

Answer: x=−2 or x=8

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+2)(x−8)=0

Step 2: Set factors equal to 0.

x+2=0 or x−8=0

x=−2 or x=8

8 0
3 years ago
Read 2 more answers
What equation is graphed in this figure?
topjm [15]

Answer:

The third equation: y+2=-3(x-1)

Step-by-step explanation:

The two points on the line are (-1,4) and (1,-2).

Slope of the line passing through two points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

m=(y_{2} -y_{1})/ (x_{2} -x_{1})

Here, (x_{1},y_{1}) and (x_{2},y_{2}) are (-1,4) and (1,-2).

Therefore, slope is equal to, m=(-2-4 )/ (1-(-1)

                                               m=-6/2

                                               m=-3  

Now, equation of a straight line with slope m and points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

y-y_{1}=m(x-x_{1})\\y-y_{2}=m(x-x_{2})

Now, if we use the 2nd form, then x_{2}=1,y_{2}=-2.

So, the equation is given as :

y-(-2)=-3(x-1)\\y+2=-3(x-1)

                                                 

8 0
3 years ago
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