Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 100[/tex] and [tex]\sigma = 15[/tex].
The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.13[/tex]
[tex]Z = -0.13[/tex] has a p-value of 0.4483.
0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Use the function you wrote in Item 4 to complete the following:
f(1.5) = _____. The value indicates that after _____ hours of driving,
Aubrey and Charlie will have traveled _____ miles.
Answer:
1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:
120 = 20 + 50t
2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.
t ≤ (120 - 20)/50
t ≤ 2 hours
Thus, the domain would be 0 < t ≤ 2.
Step-by-step explanation:
Answer:
1 First blank; f(1.5)=95 2 Blank; 1.5 3 Blank; 95
Step-by-step explanation:
you use the equation f(x)=50x+20 and put 1.5 in
f(1.5)=50(1.5)+20 = f(1.5)=95
you get 95, and that is the number of miles
1.5 is number of hours
HElP!!!!!!!plss I don’t know if I’m right or wrong
Whats is the area of the figure? in squares inches
Please help asap! I will gave brainlest!
Answer:
[tex]2+\sqrt{3}[/tex]
Step-by-step explanation:
tan(-105°) is equal to 3.73205081, and [tex]2+\sqrt{3}[/tex] is equal to 3.73205081 as well.
C(n)=1/500 n^2-n +200 where is n is the number. does the cost have a minimum or maximum value explain
Answer:
minimum
Step-by-step explanation:
The sign of the leading coefficient of a quadratic tells you whether its graph opens upward or downward. Here, the sign of 1/500 is positive, so the graph opens upward. The function will have a minimum.
_____
Additional comment
For even-degree polynomials (quadratic = degree 2), the general shape of the curve will be ∪ or ∩. The latter will result from a negative leading coefficient.
For odd-degree polynomials, the general shape of the curve will be / or \. Again, the latter results from a negative leading coefficient.
These facts can help you identify the end-behavior of a polynomial function.
What is the area of the shaded sector?
O 24 TT
O 45TT
O 72TT
O 576TT
c:72tt
[tex]\textit{area of a sector of a circle}\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =45 \end{cases}\implies A=\cfrac{\pi (45)(24)^2}{360}\implies A=72\pi[/tex]
What is the equation for the line that passes through the points (4, 2) and (0, 6) ?
It is commonly believed that the mean body temperature of a healthy adult is 98.6 ∘ F 98.6∘F . You are not entirely convinced. You believe that it is not 98.6 ∘ F 98.6∘F . You collected data using 36 healthy people and found that they had a mean body temperature of 98.23 ∘ F 98.23∘F with a standard deviation of 1.05 ∘ F 1.05∘F . Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6 ∘ F 98.6∘F . a) Identify the null and alternative hypotheses? H 0 H0 : μ = H 1 H1 : μ < b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We fail to reject the null hypothesis, since the p-value is less than the significance level. We fail to reject the null hypothesis, since the p-value is not less than the significance le
Answer:
Please review each attachment for a detailed explanation
I need help please please
Answer:
A
Step-by-step explanation:
Reflects across the y axis then rotates 180 degrees.
Answer:
reflection then rotation
Step-by-step explanation:
pls answer is right on my math
Step-by-step explanation:
1. parallel 2. perpendicular 3. interescting
4. parallel 5. perpendicular
IV. 1/2 = 2/4 1/3 = 2/6 2/6 = 4/12
1/2 = 4/8 1/3 = 4/12 2/6 = 1/3
can you please mark my answer brainliest
There are 18 students in the math club.
Of the 18 students, 1/6 have red hair. How many of the students have red hair?
Part b: of the 18 students, 4/6 have brown hair. How many of the students have brown hair?
Part c:
What is the relationship do you notice between the number of students with brown hair and the number of students with red hair?
a:1/6×18/1=18/6 when simplified is 3
b:4/6×18/1=72/6 when simplified is 12
c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.
can someone help please
Answer:
I think it might be A, it seems most reasonable. I'm probably wrong tho
Step-by-step explanation:
Answer:
it is D
Step-by-step explanation:
just multiplay
A store manager wants to display 4 different brands of toothpaste in a row. How many ways can this be done?
Answer:
24 ways
Step-by-step explanation:
4 things can be placed in 4! = 4 × 3 × 2 × 1 = 24 different ways
The number of different ways 4 brands can be arranged is 24.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of brands = 4
Number of different ways 4 brands can be arranged.
= 4!
= 4 x 3 x 2 x 1
= 24
Thus,
The number of different ways 4 brands can be arranged is 24.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
wich one do you think is greater 4x 32/5 or 3x42/5 how can yu tell without multplying explain
Answer:4x 32/5
Step-by-step explanation:
If we look at it, we know that 4 and 32 is more than 3x42. Btw, 3x42 is 126 and 4 times 32 is 128.
Decide whether the primary or secondary data is most suited for this hypothesis. "The yearly total rainfall in Dublin is greater than London."
A. Primary
B. Secondary
C. Neither
Give the answer without sending spam links.
Please help I will give brainliest for first correct answer
Answer:
0
Step-by-step explanation:
2(3*2)^2-27(6/2)+3^2
=2(9*4)-27(3)+9
=72-81+9
=0
hope it helps:)
If g(b) = 7b+8, what is g(-3)? Α. -29 B. -13 C. 13 D. 29
Givᥱᥒ ,
[tex]\bold\purple{g(b) = 7b + 8}[/tex]
To fiᥒd ,
[tex]\bold\purple{g( - 3) = ?}[/tex]
Hᥱɾᥱ ,
Wᥱ ʝᥙ⳽t ᥒᥱᥱᑯ to ⳽ᥙᑲ⳽titᥙᥱ tᖾᥱ ʋᥲꙆᥙᥱ " ᑲ = -3 " iᥒ tᖾᥱ ᥱϙᥙᥲtioᥒ ɠiʋᥱᥒ ᥲᑲoʋᥱ.
Tᖾᥱɾᥱƒoɾᥱ ,
[tex]\bold\blue{g( - 3) = 7( - 3) + 8 } \\ \\ \bold\blue{ ⇝ - 21 + 8} \\ \\ \fbox\pink{ ⇝ - 13}[/tex]
hope helpful ~
A loaf of bread has 16 slices, Then two pieces were made into toast. The rest were made into sandwiches that use 2 slices of bread each. How many sandwiches were made from the loaf?
Show your work?
a full bottle hold 1/4 gallon of juice
:
a bottle has 1 3/4 liters. The first thing to do is convert this mixed fraction to an improper fraction. 1 equals 4/4, so 4/4+3/4=7/4, it says they want to take 6 1/4 glasses, we convert this to a fraction, we multiply 6*1/4=6/4 and this simply we have to subtract it from 7/4 which are the liters
7/4-6/4= 1/4
so we have 1/4 of a liter left over
una botella tiene 1 3/4 de litros. Lo primero que hay que hacer es convertir esta fracción mixta en fracción impropia. 1 equivale a 4/4, entonces 4/4+3/4=7/4, dice que quieren llevar 6 vasos de 1/4, esto lo convertimos en fracción, multiplicamos 6*1/4=6/4 y esto simplemente lo tenemos que restar a 7/4 que son los litros
7/4-6/4= 1/4
entonces nos sobra 1/4 de litro
Which of the following are factor pairs for 72? You will select two. *
1 point
2 x 36
3 x 18
6 x 12
8 x 8
Answer:
See below.
Step-by-step explanation:
2 x 36 = 72
3 x 18 = 54
6 x 12 = 72
8 x 8 = 64
A and C are the answers.
-hope it helps
On the following number line, the approximate locations of five real numbers are graphed.
Choose the correct location of each number on the number line.
Answer:
C
A
E
D
B
Step-by-step explanation:
1. Find the area of the figure below..
19 ft
6 ft
Answer:
25
Step-by-step explanation:
just add it together
If you spend $55 for transportation and clear $250 a month, what percent of your income do you spend on transportation?
Round to the nearest tenth.
A. 4.5%
B. 18.0%
C. 20.0%
D. 22.0%
Answer:
d
Step-by-step explanation:
55÷250×100=22.0
hence d
Approximate √38 to the nearest tenth.
Answer:
6.2
Step-by-step explanation:
After you plug in [tex]\sqrt{38}[/tex] into the calendar, you get 6.16441. To round to the nearest tenth, you look at the tenth and hundreth place. Since the hundreth place is a 6, which is greater than 5, the 1 in the tenths place becomes a 2, giving you 6.2.
Help help help math math
Answer:
(2,7)
Step-by-step explanation:
mel read 7 books, write a division equation to find
number of books read
Explain what is meant by break even point
Answer:
The break even point is the production level at which total revenues for a product equal total expenses.
Step-by-step explanation:
P(x) = 5x3 − 28x2 + 15x − 200, c = 11
P(11)=?
Answer:
I do not know
Step-by-step explanation:
so I don't know anything abt math mostly thank you
what is -1⅔×5¾?????
Answer:
The correct answer would be -9 7/12
You have to multiply the numbers together.
What would be the slope of a line that is PARALLEL to the following?
y=-4x +11
If your answer is a fraction please enter it as a decimal.
Parallel Slope =
(Someone please help me I don’t understand this helpppp)
Answer:
The slope would be -4
Step-by-step explanation:
Since the two lines are parallel, the slopes would have to be the same because the lines can't intersect. In an equation of a line, the number before the "x" is always the slope.
Answer:
The slope of a line that is parallel to y=-4x+11 is m2=-4
Step-by-step explanation:
Parallel lines
The equation of a line of slope m and y-intercept b can be expressed as:
y=mx+b
The equation of the given line is
y=-4x+11
Which means its slope is m1=-4
Two parallel lines are defined to have the same slope. If m2 is the slope of a parallel line, then:
m2=m1=-4
Then, the slope of a line that is parallel to y=-4x+11 is m2=-4