X = -m/b.
By subtracting z from both sides, you find
-m= bx
Next, divide every term by b to obtain
-m/b= x
The average calorie count for chocolate pie pieces at a dining establishment is 350, with a standard deviation of 20. Due to imprecise pie slicing, calorie distribution follows a Normal distribution. What graph illustrates the percentage of pie pieces exceeding 375 calories? The z score is utilized to assess the number of standard deviations the raw score is from the mean. A positive z score indicates the raw score is higher than the mean, while a negative z score implies it is lower. The z score formula is: Given μ = 350 calories, σ = 20 calories, x > 375. The shaded portion of the graph indicates the proportion of pie pieces containing more than 375 calories. According to the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056 = 10.56%.
Answer:
The correct response is: b)
Step-by-step explanation:
a4b=24, where a × 4 × b = 24 implies a × b = 6
The pairs of numbers with a product of 6 include: {1,6} and {2,3}
In base 10, a4b translates to 100a + 40 + b
Calculating gives us:
100×1+40+6=146
100×6+40+1=641
100×2+40+3=243
100×3+40+2=342
Summing these results yields: 146 + 641 + 243 + 342 = 1372
The correct answer is: b)
Answer:
El valor de x es 4.
Explicación paso a paso:
Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.
Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).
La longitud del lado del triángulo es
NO = NS + SM = 6 + 2 = 8
Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que
RM = MO/2 = 8/2 = 4
El valor de x es 4.
5q + 2d = 270
To determine the intercepts, start by setting d to 0, then to find q. The conditions yield:
5q = 270
q = 54; (0, 54)
2d = 270
d = 135; (135, 0)
This equation illustrates the total number of coins in the piggy bank. For (0, 54), this indicates the quantity of quarters when dimes are absent, while (0, 135) displays the number of dimes when there are no quarters.
