Answer:
x = 4, y = 9.
Step-by-step explanation:
3x -2y = -6 and y = x+5
Substitute y = x + 5 in the first equation:
3x - 2(x + 5) = -6
3x - 2x - 10 = -6
x = -6 + 10
x = 4
So y = 4 + 5 = 9.
Answer:
34 trabajadores.
Step-by-step explanation:
Supongamos que el empresario tiene N trabajadores, y tiene la cantidad de dinero D para pagarles cada día.
Si el empresario decide pagarle 50 a cada trabajador le faltan 110.
Esto se puede reescribir como:
50*N = D + 110
(50 por número de empleados es igual que el dinero que tiene más lo que le falta para pagar)
También sabemos que si pagara 45 a cada empleado, le sobraría 60.
Esto se puede reescribir como:
45*N = D - 60
Entonces tenemos dos ecuaciones:
50*N = D + 110
45*N = D - 60
Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, en este caso aislaré D en la segunda ecuación.
45*N + 60 = D
Ahora podemos reemplazar esto en la primer ecuación y resolver para N
50*N = (45*N + 60) + 110
50*N = 45*N + 170
50*N - 45*N = 170
5*N = 170
N = 170/5 = 34
El empresario tiene 34 trabajadores.
First, ask yourself how far way is 70 from the mean of 63.5? It is equal to 70 - 63.5 = 6.5 inches.
Next, ask yourself how many standard deviations is this? Well, every standard deviation equals 2.5 inches, so there are 6.5 / 2.5 = 2.6 standard deviations. So, 70 is exactly 2.6 standard deviations to the right of the mean.
Finally, you can use the Standard Normal to find the answer P(X>70) since this is equivalent to:
<span>P(z > 2.6) = 0.0054 or 0.54% of women will be taller than 70 inches.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
Here, regrouping is basically carrying.
64+43 shown vertically would be:
64
+43
-------
107
4+3 is 7, so seven is in the ones place, but that's not the point.
60+40 is 100, so you regroup by carrying the one to the hundreds place.
Hope I helped!
Answer:
mean= 5.5
median=5.5
No mode.
range=9
Step-by-step explanation:
Recall that the mean of a data set is the sum of its terms divided by the number of terms.
1+2+3+4+5+6+7+8+9+10=55
55/10=5.5
Recall that the median of a data set is the value at the middle (the median) of the data set. In order to find the median, the data set must be arranged from lowest to highest. Once it is, we cross out one at the end, one at the beginning, one at the end, one at the beginning, and so on until we find the middle value.
Since there are an even number of terms, the median will be between the two middle values. Take the average of the two:
median=5+6 divided by 2=5.5
The mode of a data set is the element that appears most frequently. Since each element in this data set is unique and only appears one time, there is no mode.
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
10-1=9
