Answer:
Step-by-step explanation:
It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.
The hypothesis is set
(A two-tailed test for mean difference)
The test statistic is calculated, and the p-value turns out to be 0.0743
Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05
Thus, we accept the null hypothesis.
i.e. there is no statistically significant alteration in the average number of daily unique listeners
The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.
Answer:
Joanne might have utilized a rounded figure at a specific decimal point instead of the precise value. When validating her solution with a rounded figure, the outcome may not align precisely. The values, 12.34 and 12.33, are very similar, allowing Joanne to conclude that she correctly solved the multistep equation.
Step-by-step explanation:
Facts
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
Honestly, I find Mrs. Garcia's method easier to perform mentally. It hinges on how familiar you are with your multiples of 5. (5*15 = 75 is a multiplication I often use)
Melissa's approach involves calculating 5*20 = 100 and 5*9 = 45, then combines the 3-digit result 100 with the 2-digit result 45, yielding 145. Adding 45 to 00 is simple and doesn’t require carrying digits, thus the arithmetic is fairly straightforward.
Mrs. Garcia's technique involves computing 5*14 = 70 and 5*15 = 75, then summing these two-digit results. Many people may not readily recall that 5*15=75, which complicates forming that product. The addition of 70 and 75 requires a carrying operation, making the math somewhat more complex. The resulting total is 145.
(The rationale behind my preference for Mrs. Garcia's method is that I can achieve the final sum by simply doubling 7 tens, followed by adding 5. The only 3-digit number to remember mentally is the ultimate total.)
_____Subtraction introduces a slight complication, yet reshaping it as $5(30 -1) = $150 - 5 = $145 is possible.
Or, you may reframe it as $5(28 +1) = $140 +5 = $145.
Dividing an even number by 2 to find the product of 5 is straightforward when you append a zero.
5*14 = 10*7 = 70
5*28 = 10*14 = 140.
