Dr. Smith wants to use only students with "normal" IQ in his experiment. He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study? You know that the population of IQ scores are normally distributed, have µ = 100, and have σ = 15. (1 point)
Answers
Answer:
Lowest IQ: 89.875
Highest IQ: 110.125
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
.
He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study?
The middle 50% is the interval from the 25th percentile to the 75th percentile.
Lowest IQ:
This is the measure in the 25th percentile. That is X when Z has a pvalue of 0.25. So it is
Highest IQ:
This is the measure in the 75th percentile. That is X when Z has a pvalue of 0.75. So it is
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It takes andre 4 minutes to swim 5 laps. At this rate heswims how many laps per minute.
1.WRITE "six million five hundred thousand four" in standard form.
Does anyone know the answer to this question?If the answer is true, please do answer me, thank you.I'm really in a hurry!
H(t) = – 16t2 + 48t + 28
840.54 cm3
1,055.04 cm3
1,456.96 cm3
Answers
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm
Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³
Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
cone: height = 12 cm ; radius = 4 cm
Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³
Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
Answers
If arc ADB is that portion of the circle that is not arc AB, then its measure is ...
... 360° -49° = 311°
_____
The sum of the measures of the arcs of a circle is 360°.
and
B. are between 37.25 and 101.75
Answers
1. Substitute coordinates: d = StartRoot (negative 8 minus 0) squared + (2.5 minus (negative 4.5)) squared EndRoot
2. Simplify parentheses: d = StartRoot (negative 8) squared + (7) squared EndRoot
3. Evaluate powers: d = StartRoot 64 + 49 EndRoot
4. Simplify.
What is the distance between (–8, 2.5) and (0, –4.5)? Round to the nearest hundredth.
d ≈
Answers
The distance between points (- 8, 2.5) and (0, - 4.5) is,
⇒ d = 10.67
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Two points are,
⇒ (- 8, 2.5) and (0, - 4.5)
Hence, The distance between (- 8, 2.5) and (0, - 4.5) is,
d = √ (- 8 - 0)² + (2.5 + 4.5)²
d = √ 64 + 7²
d = √64 + 49
d = √114
d = 10.67
Thus, The distance between points (- 8, 2.5) and (0, - 4.5) is,
⇒ d = 10.67
Learn more about the coordinate visit:
#SPJ6
Answer: B.10.63
Step-by-step explanation:
your answer to 4 decimal places, if necessary.
Answers
Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
Answers
Answer: Angle D= 0.51 radians or 29.05°
Step-by-step explanation:
For this problem, we can use our trigonometry to find the measure of angle D.
Since this is a right triangle, we know we can use sine, cosine, and tangent. We are focusing on angle D, so we would see which trigonometric function best fits angle D. Looking at where 25 ft and 45 ft are labeled, we can use tangent. Tangent of opposite/adjacent. Now that we know this, we can set up an equation. Let's use θ in place for angle D.
tan(θ)=25/45
tan(θ)=5/9
Since we want to find θ, we would do inverse tangent.
θ=
θ=0.507
θ=0.51
This answer is in radians. In degrees, it is 29.05°.