Solution :
Given :
p = 12% = 0.12
n = 15..
Mean is defined as the product of a sample size n and the probability p such that :
[tex]$\mu_X = np = 1500 \times 0.12$[/tex]
= 180
Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :
[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]
[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]
≈ 12.5857
The z-score is given by :
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac {165-180} {12.5857 }$[/tex]
≈ -1.19
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac{195-180} {12.5857 }$[/tex]
≈ 1.19
Now determining the corresponding probability using table :
P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )
= 1-2 x P(Z < -1.19)
= 1-2 x 0.1170
= 1-0.2340
= 0.7660
= 76.60%
Given values,
p = 12%= 0.12
n = 1500The mean will be
→ [tex]\mu x = np[/tex]
By putting the values,
[tex]= 1500\times 0.12[/tex]
[tex]= 180[/tex]
The standard deviation will be:
→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]
[tex]= 12.5857[/tex]
The z-score will be:
→ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]= \frac{165-180}{12.5857}[/tex]
[tex]= -1.19[/tex]
and,
→ [tex]z = \frac{195-180}{12.5857}[/tex]
[tex]= 1.19[/tex]
hence,
The probability will be:
→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]
[tex]= 1-2\times P(Z < -1.19)[/tex]
[tex]= 1-2\times 0.1170[/tex]
[tex]= 1-0.2340[/tex]
[tex]= 0.7660[/tex]
[tex]= 76.60[/tex] (%)
Thus the answer above is right.
Learn more about probability here:
https://brainly.com/question/13796006
Jenny has read 193 books from the library
cookbook section. If this is 64% of the cookbook
section, how many books are in the entire
cookbook section?
A. 240
B. 300
C. 160
D. 64
Answer:
B. 300
Step-by-step explanation:
Let's take the entire number as 'x'
according to the question,
x * 64% = 193
x * 64/100 = 193
x * 64 = 193 * 100
x = 19300/ 64
x = 301.5
round down to 300
Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for < or ">=" for 2 if necessary.
3(4x + 1) < 39
Answer:
x<3
Step-by-step explanation:
from SMALLEST to LARGEST: 1/4", 3/4", 12", 1/8", 3/8 5/8”
Answer:
1/8", 1/4", 3/8", 5/8", 3/4", 12"
Step-by-step explanation:
First, make all of the fractions have similar denominators. We'll use eighths.
1/4 = 2/8
3/4 = 6/8
The rest are either whole numbers or already have a denominator of 8.
2/8, 6/8, 12, 1/8, 3/8, 5/8.
Rearrange.
1/8, 2/8, 3/8, 5/8, 6/8, 12.
Now we take the fractions we converted, and change them back to their original form. Then we'll have the answer.
1/8, 1/4, 3/8, 5/8, 3/4, 12.
---
hope it helps
10×2+5÷2
its so easy
Answer:
10×2+ 5÷2
=20+2.5
=22.5
During final exams 172 students visited the math lab in total. If 4 out of 11 were male what is the percentage of female students who visited the math lab? (Round to the nearest tenth).
Answer:
110%
Step-by-step explanation:
During final exam, 172 students visited the math lab in total.
4 out of 11 were male. It means, females are 11-4 = 7. So, the percentage of female students who visited the math lab is :
[tex]F=\dfrac{7}{11}\times 172\\\\F=109.4\%\\\\=110\%[/tex]
Hence, this is the required solution.
what is the gcf of the term -15y^4+12y^2-9y
Answer:
3y(-5y^3+4y-3)
Step-by-step explanation:
how do you find lateral surface area
Answer: This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.
Step-by-step explanation:
Write an expression to m + m + m + m that is the sum of two terms
Answer: 2m + 2m
Step-by-step explanation: m + m is 2m and the same for the other two m's which is why m + m + m + m is 2m + 2m
Answer and Step-by-step explanation:
The obvious answer to this question is 2m + 2m, or 3m + m.
These expressions show two terms that can be added together.
#teamtrees #PAW (Plant And Water)
I see a Dreamer over there by the water.
twitch.tv/Tommyinnit
Find the missing lengths and values of square RSTU
SR
RU
find the area ojefwo rgw hercpx
Answer:
3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14
Step-by-step explanation:
Please help I'll give brainliest
what is axis of symmetry?
Answer:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.
Step-by-step explanation:
Answer:
Step-by-step explanation:
An axis of symmetry is a line that cuts your graph into two equal parts. In other words, the graph is symmetric about the line.
Direct mail advisors send notifications to thousands of potential customers in the hope that summer by the company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and send it to 1060 people randomly selected from their mailing list of over 200,000 people. They get orders from 110 of those people.
A) Create a confidence interval for the percentage of people to company contracts
who may buy something
Create a 90% confidence interval for the percentage of people the company contacts who may buy something.
Answer:
CI = (8.84%, 11.92%)
We are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.
Step-by-step explanation:
We are given;
n = 1060
x = 110
Confidence level = 90%
Sample proportion; p^ = x/n = 110/1060
p^ = 0.1038
DF = n - 1 = 1060 - 1 = 1059
From the table attached, the critical value for a confidence level of 90% at a DF greater than 1000 is 1.645
Formula for CI is;
CI = p^ ± t√(p^(1 - p^)/n)
CI = 0.1038 ± 1.645√(0.1038(1 - 0.1038)/1060)
CI = 0.1038 ± 0.0154
CI = (0.0884, 0.1192) or
CI = (8.84%, 11.92%)
Thus, we are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.
Zoe is calculating the volume of this rectangular prism.

Zoe calculates the volume as 16 cubic units because 8 units long + 5 units high + 3 units wide = 16 cubic units. Which of the following describes the mistake Zoe made in her calculation?
Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 × 5 + 3 = 43.
Zoe is wrong because she added all the dimensions instead of only adding the length and width.
Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 + 5 – 3 = 10.
Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions.
It’s the last one :)
PLEASE HELP BRAINLIEST.
Answer:
98 cm^2
Step-by-step explanation:
it contains 8 right triangles and one square;
the area of the square = 8 x 8 = 64
.
the area of all the traingles; 4 x 8 = 32
.
sum up; 32 + 64 = 98 cm^2
You and a friend want to know how much rope you need to climb a large rock. Your friend is 5.5 feet tall and casts a shadow that is 18 feet long. If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground. Round your answer to the nearest foot. (Hint: make a drawing) a. 64 ft b. 18 ft c. 210 ft d. 219 ft
Answer: The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.
Step-by-step explanation: The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.
5.5 ft / 18 ft = x ft / 209.5 ft
Plzzzzzzzzzzzzzzzz help me I’ll mark you brainlist
Answer:
Ewan?1234567891011121314151617181920
Answer:
No clue at all. ?
Step-by-step explanation:
simplify (-2)^-3
a. -8
b. -1/8
c. 1/8
d. 8
Answer:
Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8
Answer:
B.) -1/8
Step-by-step explanation:
You flip the problem because of the negative exponent
[tex]\frac{1}{-2^3}[/tex]
This makes the exponent positive
Expand the denominator
(-2) * (-2) * (-2) = 4*(-2) = -8
1/-8 = -1/8
I really need help on this
Answer:
-27
Step-by-step explanation:
first add 22 to both sides
-x/9=3
then isolate x by multiplying by 9
-x=27
x can't be negative so multiply by -1
x=-27
Answer:
x = -27
Step-by-step explanation:
Solve the equation by inverse operations and you get x = - 27
܀ 35. Your command issued 400 tickets i
January. Twenty percent of those tickets were for speeding. How many tickets were issued for speeding in the month of January?
(A) 80
(B)70
(C) 60
(D) 90
Help pleasee
I'm doing homework and i cannot understand this one and it's due soon
Answer:
2001.19
Step-by-step explanation:
V=πr^2h
π×7^2×13=2001.19
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
Root of forty rational root of forty times negative one irrational, root of forty times negative one rational, root of forty plus negative one irrational.
I believe this is right because rational should be positive and ir should be negative.......
PLEASE HELP
what is an expression equivalent to (x4y3y)2 in the form xmyn.
Answer:
x^8 y^8
did you mean (x^4 y^3 y)2 or just (x4y3y)2
Sorry did you submitted it yet?
If the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of xmyn is, x⁸y⁸.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is,
(x⁴y³y)²
Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.
We have to represent the given expression in the form of [tex]\rm x^m y^n[/tex].
We use the expression identity as,
[tex]x^m \times x^n = x^{m+n}[/tex]
[tex]\rm = (x^m)^n \\\\ = x^{mn}[/tex]
=(x⁴y³y)²
First, solve the term present in the bracket as,
=(x⁴y⁴)²
Open the bracket we get,
=(x⁴)²(y⁴)²
=x⁸y⁸
Thus, if the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of [tex]\rm x^m y^n[/tex] is, x⁸y⁸.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Choose all lengths that are equal to
6 feet 12 inches.
Answer:
Can you show a picture? Or like tell us the options?
Help me to find the surface area pls :( :(
Answer:
154.521
Step-by-step explanation:
Have a good day!
Answer:
154.521
Step-by-step explanation:
Subtract and simplify your answer.
7/18-2/9
Answer:
Step-by-step explanation:
7/18-2/9=7/18-4/18=3/18=1/6
Answer:
1/6.
Step-by-step explanation:
7/18−2/9=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(7/18, 2/9) = 18
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(7/18×11)−(2/9×22)=?
Complete the multiplication and the equation becomes
7/18−4/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
7−4/18=3/18
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using
GCF(3,18) = 3
3÷3/18÷3=1/6
Therefore:
7/18−2/9=1/6
Which expression is equivalent to 14y−12?
14(y−2)
−14(y−12)
14(y−12)
−14(y−2)
Answer:
The answer is 1/4 (y-2)
Step-by-step explanation:
I got the answer correct on my test!
Xander needs to collect at least 180 cans for a food drive to earn community service credit. He has already collected 64 items. describe in words
Simplify (-3/5) divided by (7/6)
-18/35 is the answer to (-3/5) divided by (7/6)
Problem of the week, provide step-by-step please!
Answer:
Step-by-step explanation:
The smallest perfect square that has three different prime numbers as factor is 900
900 = 30 * 30
Factors = 2² * 3² * 5² = 900