A lab technician has to fill the tank given below. Find it’s volume .
1 answer:
Answer:
El volumen del cilindro mostrado en la figura es de 628 metros cúbicos
Explicación paso a paso:
La figura proporcionada se refiere a un cilindro
La altura del cilindro = h = 8 metros
El radio de la base del cilindro = r = 5 metros
Ahora, definamos el volumen del cilindro = V m³
Por lo tanto, el volumen del cilindro está dado por V = ×r²×h
donde r es el radio de la base
y h es la altura del cilindro
El valor de = 3.14
Así que, V = × r² × h
O, V = 3.14 × (5)² × 8
O, V = 3.14 × 25 × 8
o, V = 628 m³
Así que, el volumen del cilindro es V = 628 m³
Por lo tanto, el volumen del cilindro mostrado en la figura es de 628 metros cúbicos
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Indeed, a fare of $40 is a fair charge for the cab ride.
Explanation
Sheri's cab fare totaled $32, with a gratuity rate of 20%.
The gratuity amount is:
Thus, the total cab fare including gratuity is:
Since Sheri issued a $40 check to the cab driver, it indicates she provided ($40 - $38.40) or an extra $1.60 to the cab driver. Consequently, the $40 payment is reasonable for the cab fare.
Answer:
∠ R 90°
Explicación paso a paso:
Dado que en el triángulo RST
Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.
En un triángulo, la suma de los tres ángulos es 180°
Por lo tanto, si un ángulo mide 90°, la suma de los otros dos debe ser igual a 90°
Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.
Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.
De lo anterior, se concluye que
Para,
∵ ∠ R = 120°, por lo tanto es mayor que 90°.
Es decir, ∠ R 90°
Respuesta
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
Given that the p-value is lower than the significance threshold in this situation, we have sufficient grounds to reject the null hypothesis.
c)
In this case, since the p-value exceeds the significance threshold, we have adequate evidence to FAIL to reject the null hypothesis.
d)
Here again, with the p-value being less than the significance level, we can reject the null hypothesis.
Step-by-step explanation:
1) Provided data and references
represents the average of the samples
denotes the standard deviation of the samples
indicates the number of samples
is the value we are examining
defines the significance level for the test.
t represents the specific statistic of interest
indicates the p-value relevant to the test (the variable of concern)
Define the null and alternative hypotheses.
To assess if the true mean is at least 10 hours, we must set up a hypothesis:
Part a
Null hypothesis:
Alternative hypothesis:
If we consider the sample size being less than 30 and the population deviation unknown, it’s more appropriate to use a t-test to compare the actual mean with the reference value, calculated as:
(1)
Part b
In this scenario t=-2.3,
Initially, we need to calculate the degrees of freedom
Since this is a left-tailed test, the p-value is determined by:
In this instance, with the p-value being less than the significance level, we have sufficient evidence to reject the null hypothesis.
Part c
For this situation t=-1.8,
We need to find the degrees of freedom
For the left-tailed test, the p-value is given by:
In this case, since the p-value is above the significance level, we have enough grounds to FAIL to reject the null hypothesis.
Part d
For this case t=-3.6,
Firstly, we find the degrees of freedom
Since we are conducting a left-tailed test, the p-value is calculated as:
Here, with the p-value being lower than the significance threshold, we can reject the null hypothesis.