Answer:
(a) z = -1.53 --> P(x<z) = 0.0630
(b) z = -1.151 --> P(x<z) = 0,0655
(c) z = -0.63 --> P(x<z) = 0,2643
Step-by-step explanation:
To know the area that lies to the left, equal to P(x<z), the best way is to look at tables of standard normal curve.
(a) z = -1.53 --> P(x<z) = 0.0630
(b) z = -1.151 --> P(x<z) = 0,0655
(c) z = -0.63 --> P(x<z) = 0,2643
3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Learn more about inequalities here-
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Answer: P(x > - 0.23) = 0.41
Step-by-step explanation:
Since we are assuming that the readings at freezing on a batch of thermometers are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the readings at freezing on a batch of thermometers.
µ = mean temperature reading
σ = standard deviation
From the information given,
µ = 0°C
σ = 1.00°C
the probability of obtaining a reading less than -0.23°C is expressed as
P(x > - 0.23)
For x = - 0.23
z = (- 0.23 - 0)/1 = - 0.23
Looking at the normal distribution table, the probability corresponding to the z score is 0.41
Answer:
The previous number keeps getting multiplied by - 5
Step-by-step explanation:
5 × -5 = -25
-25 × -5 = 125
125× -5 = -625
-625 × -5 = 3,125
3125 × -5 = -15,625
-15,625 × -5 = 78,125
78,125 × -5 = -390, 625
-390,625 × -5 = 1,953,125
1,953,125 × -5 = 9,765,625
:)
Slope (y2-y1)/(x2-x1)
(10-0)/(10-8) = 10/2 = 5
The slope is 5
