Answer:
The lowest possible IQ scores of students remaining in the class is 84.46.
The highest possible IQ scores of students remaining in the class is 115.54.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 100 and a standard deviation of 15.
This means that [tex]\mu = 100, \sigma = 15[/tex]
Find the lowest and highest possible IQ scores of students remaining in the class.
Lowest:
The 15th percentile, which is X when Z has a pvalue of 0.15, so X when Z = -1.036.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.036 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = -1.036*15[/tex]
[tex]X = 84.46[/tex]
Highest:
The 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85, so X when Z = 1.036.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.036 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 1.036*15[/tex]
[tex]X = 115.54[/tex]
The lowest possible IQ scores of students remaining in the class is 84.46.
The highest possible IQ scores of students remaining in the class is 115.54.
Between what two numbers would 9 be located on a number line?
A. 8 and 10
B. 7 and 8
C. 9 and 10
D. 10 and 11
[tex]it \: is \: simple \\ between \: 8 \: \: \: 10[/tex]
Answer:
A
Step-by-step explanation:
the between of two bumber of 9 is 8 & 10 8<9<10
Karen bought some books for $4 each and received a discount of $5 off of her total purchase. She spent 571 after the discount. How many
books did she buy? ( NO LINKS ) LINKS GET REPORTED!
Answer:
she bought 143
Step-by-step explanation:
A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number
Answer:
15595 bacteria will be present after 13 hours.
Step-by-step explanation:
Continuous population growth:
The continuous population growth model, for the population after t hours, is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
Started with 5000 bacteria
This means that [tex]P(0) = 5000[/tex]
So
[tex]P(t) = 5000e^{rt}[/tex]
After three hours it grew 6500 bacteria:
This means that [tex]P(3) = 6500[/tex]. We use this to find r.
[tex]P(t) = 5000e^{rt}[/tex]
[tex]6500 = 5000e^{3r}[/tex]
[tex]e^{3r} = \frac{65}{50}[/tex]
[tex]\ln{e^{3r}} = \ln{\frac{65}{50}}[/tex]
[tex]3r = \ln{\frac{65}{50}}[/tex]
[tex]r = \frac{\ln{\frac{65}{50}}}{3}[/tex]
[tex]r = 0.0875[/tex]
So
[tex]P(t) = 5000e^{0.0875t}[/tex]
How many bacteria will be present after 13 hours?
This is P(13). So
[tex]P(13) = 5000e^{0.0875*13} = 15594.8[/tex]
Rounding to the nearest whole number
15595 bacteria will be present after 13 hours.
-2 is the ________ of 2
Answer: -2 is the numerical opposite of the number 2. Any numbers opposite is it's negative form. (except for 0 due to there being no opposite for something that is not negative or positive.)
7. Lines that intersect forming a square corner is called
a. Parallel lines b. Intersecting lines c. Perpendicular lines
Answer:
c. Perpendicular lines
Step-by-step explanation:
Is 0.6 greater than 0.85?? ( 4th grade work)
Answer:
No its not
Step-by-step explanation:
Answer:
No, 0.85 is greater.
Step-by-step explanation:
Imagine a number line, with one at the end and 0.1 at the other end. With .85, It would be closer to one, with 0.6 being behind 0.85. The only other reason that 0.6 is greater than 0.85 is if they are converted to fractions.
there are 12 dozen pencils in a gross. how many pencils are in 15 gross
Answer:
A gross refers to a group of 144 items (a dozen or a square dozen, 122). A great gross refers to a group of 1728 items (a dozen gross or a cubic dozen, 123). A small gross or a great hundred refers to a group of 120 items (ten dozen, 10×12).
I NEED HELP FAST> THIS PROBLEM IS SO CONFUSING!! the ^ mean exponents
after simplifying, what will x be equivalent to? (a^4)^6=a^x
Answer:
x will be equivalent to 24
Step-by-step explanation:
apply the multiplication rule to the exponents in (a^4)^6
4 times 6= 24, so (a^4)^6 is equivalent to a^24
Please help I will give brainily and more, NEEDING SMART PEOPLE
On the coordinate plane shown below, points
G and I
have coordinates (6 ,4) and (3 ,2), respectively.
1.) Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I on a coordinate plane. Use complete sentences to describe the strategy.
2.) Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
3.) Use the distance formula and the coordinates of points G and I
to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
brainly.in/question/10516214
13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
I need! can you help me?
Answer:
C maybe
Step-by-step explanation:
The logo on a shirt is in the shape of a parallelogram. What is the area of the parallelogram? Round to the nearest tenth.
Answer:
90
Step-by-step explanation:
Find the perimeter of the rectangle for the given measurements.
Width = 1.5 feet
Length = 2.7 feet
Perimeter = _____ feet (round your answer to the nearest tenth)
Answer:
8.4 feet
I would appreciate Brainliest, but no worries.
can someone help i will give brainlest
Answer:
Your answer is x+ 9.Thanks.
What is the solution for the system of equations? y=2x+7y=−4x−5 Question 1 options: (−2, 1) (1, −2) (3, −2) (−2, 3)
Answer:
Answer Below \/
Step-by-step explanation:
Answer:
(-2,3)
Step-by-step explanation:
Can somebody explain Scatter Plots and Equations of Lines for me. I'm not quite understanding it
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.
Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
5/6 x 2/7
please help me again
Answer:
[tex] \frac{5}{6} \times \frac{2}{7} \\ = \frac{5 \times 2}{6\times 7} \\ = \frac{10}{42} [/tex]
Ms. Sandoval walked 2 miles a
day for 5 days. If she did this for
8 weeks, what was the total
amount of miles she walked?
Answer:
Step-by-step explanation:
since 5 has nothing to do with this question lets put the 5 aside and focus with the 2 miles and the 8 weeks.. if there is 7 days in a week and there is 8 weeks that is 56 days in total.. multiply by 2 miles per day would equal...
i believe (112)
Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
Rationalize the denominator and simplify 2√x-3 √y / √x+ √y
2√x−3√xyx+√y is your answer.
Which is the y-intercept of the equations?
Equation A
Х 0
Y 1
1
4
2
9
3
16
Equation B
f(x) - -x+ 2
O A: -1, B: 2
O A: 2, B: 0
O A: 1, B: 2
O A: -1, B: -1
to coarch
Answer:
0, 1 would be y-intercept
Step-by-step explanation:
0, 1 is where the line crosses the x-axis
Taylor cuts 1/3 sheet of constitution paper for arts and crafts project. Enter 1/3 as an equivalent fraction with the demontinators shown.
Please find the VOLUME . Will mark the brainliest be geniune no links
Answer:
Pyramid formula: V= LWH/3
224
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
The figure shown is a triangular prism
The volume of a triangular prism can be calculated by using this formula
[tex]V=ah[/tex]
where a = area of base and h = height
we are already given the height ( 8 ft ) so all we need to find is the area of the base
Because this is triangular prism the base will be a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft
That being said we plug in the values into the formula
[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]
So we can conclude that the area of the base is 42 ft²
Now to find the volume
Using the formula V = ah
* plug in the values *
V = 42 * 8
42 * 8 = 336
Therefore the volume of the triangular prism is 336ft³
23. The mean weight of trucks traveling on a particular section of 1-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons. What is probability that a truck will weigh less than 14.3 tons
Answer:
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
Mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons.
This means that [tex]\mu = 15.8, \sigma = 4.2[/tex]
What is probability that a truck will weigh less than 14.3 tons?
This is the pvalue of Z when X = 14.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14.3 - 15.8}{4.2}[/tex]
[tex]Z = -0.36[/tex]
[tex]Z = -0.36[/tex] has a pvalue of 0.3594
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
What is the value of q?
s
O 4,5
O2/14
s
O 20/5
R
r
O 64/5
4
T
10
Answer:
the value is 36
Step-by-step explanation: so you add
The value of q is 36 in the equation q+9=45
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is q+9=45
q plus nine equal to forty five
We have to find the value of q
Plus is the operator
q is the variable
Subtract 9 from both sides
q=45-9
q=36
Hence, the value of q is 36 in the equation q+9=45
To learn more on Equation:
https://brainly.com/question/10413253
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Find the value of q in equation q+9=45
BEUH PLEASE ANWSERRDDD THIS
Answer:
Circumference
Step-by-step explanation:
Answer:
circumference
Step-by-step explanation:
Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6
Answer:
answer is +4...
Step-by-step explanation:
when x=6, the expression becomes
2(6)^2+ 4-5
2(36)+(-1)
72-1=71
therefore 71+4 gives 75
What point is 4 points from m
Answer:
A
Step-by-step explanation:
Have a nice day :)
Answer:
point A
Step-by-step explanation:
counting m 4 steps down to A
Jeff translates triangle FGH 2 units left and 4 units up.
What are the new coordinates of point F after the translation?
O A (-2,4)
O B. (0,4)
O C. (2,6)
OD. (6,6)
(look at photo)
PLZ HELP FAST ILL GIVE POINTS AND BRAINLYEST
Answer:
C. (2,6)
Step-by-step explanation:
Translate 2 units left and 4 units up: (x,y) -> (x-2 , y+4)
F (4,2) -> (4-2 , 2+4) -> (2 , 6)
What is the approximate area, in square units, of the circle shown below?
9514 1404 393
Answer:
50.3 square units
Step-by-step explanation:
The circle has a diameter of 8 units, so a radius of 4 units. The area formula is ...
A = πr²
A ≈ 3.14159(4²) ≈ 50.265
The area of the circle is about 50.3 square units.
Given that v = (5,-4,4) and w = (9,-2,7) evaluate v • w.
A. 81
B. 19
C. (45,8,28)
D. (-40,-16,-8)
Answer:
81
Step-by-step explanation:
Evaluating v • w
Recall: Given vectors a and B in Cartesian plane, x, y and z
vector a = [ax ay az] and b = [bx by bz]
The dot product is :
a•b = axbx + ayby + azbz
Using the relation above,
v • w = (5*9) + (-4*-2) + (4*7)
v • w = 45 + 8 + 28
v • w = 81
Hence, v • w = 81