A piece of ribbon is cut into three pieces that
have length in the ratio 7:8:9. The length of the
ribbon is 96 centimeters. Each centimeter is
worth 75 cents. How much does the smallest
piece of ribbon cost in dollars?
Answer:
3 dollar
Step-by-step explanation:
solve:x^5-x^4- 7x^3 + 7x^2 + 12x - 12 = 0
Answer:
x=1,x=-[tex]\sqrt{3}[/tex],x=[tex]\sqrt{3}[/tex],x=-2,x=2
Step-by-step explanation:
hope this helps :)
have a nice day !!
**please let me know if this was wrong**
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
a. 400.
b. 900.
c. 1,300.
d. 1,600.
e. 2,100.
Answer:
d. 1,600.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months.
This means that [tex]\sigma = 1.5[/tex]
Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
The sample size has to be n or larger. n is found when [tex]M = 0.1[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.1 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.1\sqrt{n} = 2.575*1.5[/tex]
Multiplying both sides by 10
[tex]\sqrt{n} = 2.575*15[/tex]
[tex](\sqrt{n})^2 = (2.575*15)^2[/tex]
[tex]n = 1492[/tex]
So the sample size has to be at least 1492, which means that of the possible options, the smallest sample size is 1600, given by option d.
The sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed.
What is the margin of error?
The margin of error tells you how many percentages points your results will differ from the real population value.
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
We need to find our α level, that is the subtraction from 1 by the confidence interval for the average age divided by 2.
[tex]\alpha = \frac{1-0.99}{2}\\ =0.005[/tex]
Now, we need to find z which is 1-α
[tex]1-\alpha \\=1-0.005\\\rm z=2.575[/tex]
The margin of error M
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
Here, [tex]\sigma[/tex] is the standard deviation of the population.
n is the size of the sample.
So,
[tex]\rm M=z\frac{\sigma}{\sqrt{n} } \\\rm0.1=2.575\frac{1.5}{\sqrt{n} } \\\rm0.1\times\sqrt{n} =2.575\times{1.5}\\\rm\sqrt{n} =2.575\times{1.5}\\\rm(\sqrt{n} )^{2} =(2.575\times{1.5})^{2} \\\rm n=1492[/tex]
Hence, the sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer.
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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed continuously and normally. The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915. The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.
a) Determine the value for the mean (u) of the associated distribution
b) Determine the value for the standard deviation (o) of the associated distribution.
Answer:
a) The mean is [tex]\mu = 60[/tex]
b) The standard deviation is [tex]\sigma = 9[/tex]
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.
This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when [tex]X = 55.5, Z = -0.5[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.5 = \frac{55.5 - \mu}{\sigma}[/tex]
[tex]-0.5\sigma = 55.5 - \mu[/tex]
[tex]\mu = 55.5 + 0.5\sigma[/tex]
The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.
This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when [tex]X = 71.52, Z = 1.28[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{71.52 - \mu}{\sigma}[/tex]
[tex]1.28\sigma = 71.52 - \mu[/tex]
[tex]\mu = 71.52 - 1.28\sigma[/tex]
Since we also have that [tex]\mu = 55.5 + 0.5\sigma[/tex]
[tex]55.5 + 0.5\sigma = 71.52 - 1.28\sigma[/tex]
[tex]1.78\sigma = 71.52 - 55.5[/tex]
[tex]\sigma = \frac{(71.52 - 55.5)}{1.78}[/tex]
[tex]\sigma = 9[/tex]
[tex]\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60[/tex]
Question
The mean is [tex]\mu = 60[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
It is a question that has varied answer.
Step-by-step explanation:
most questions have valid us answers actually so yeah
Answer:
Multiplication tables
change 0.7 into a percentage
Answer:
70%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%
Pls mark brainiest if it helped :P
Answer:
70%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%
I learned this from 5th grade i think, but hope this helps alot
Monica has 5 red cubes, 6 blue cubes, and 4 green cubes in a bag. She randomly chooses 9 cubes and gets 3 of each color.
How many combinations of each color could she choose?
In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I
△ ABC ≅ △ QPR
△ ABC ≅ △ QRP
△ ABC ≅ △ RQP
Given:
In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.
To find:
The correct congruency statement for the given triangles.
Solution:
In △ABC and △PQR,
[tex]AB=QR=5\ cm[/tex] (Given)
[tex]BC=PQ=6\ cm[/tex] (Given)
[tex]AC=PR=8\ cm[/tex] (Given)
All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.
[tex]\Detla ABC\cong \Delta RQP[/tex] (SSS congruency postulate)
Therefore, the correct option is C.
Salma has 8 bottles of PEPSI which contain 13 litres in total. To get 18.5 litres of PEPSI, how many bottles she should have?
Answer:
!2 bottles
Step-by-step explanation:
Given
[tex]8\ bottles = 13\ litre \\[/tex]
Required:
Number of bottles for 18.5 liters
Represent this with x.
So:
[tex]8\ bottles = 13\ litre[/tex]
[tex]x = 18.5\ litre[/tex]
Cross Multiply
[tex]x * 13 = 8\ bottles * 18.5[/tex]
[tex]x * 13 = 148\ bottles[/tex]
[tex]x = \frac{148}{13}\ bottles[/tex]
[tex]x = 11.4\ bottles[/tex]
Hence, she needs 12 bottles
Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pie.
Answer:
A ≈ 1386 m²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radius rStep-by-step explanation:
Step 1: Define
Radius r = 21 m
Step 2: Solve
Substitute in variables [Area of a Circle Formula]: A ≈ (22/7)(21 m)²Evaluate exponents: A ≈ (22/7)(441 m²)Multiply: A ≈ 1386 m²Answer:
1386 m²
ya i dont know
how to say it but it the answer
A man orders5 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost $4.31 per box, and felt tip pens cost$3.44. If the mans order of pens totaled $99.96 how many boxes of each pen did he buy?
Answer:
76.38
Step-by-step explanation:
x = the number of boxes of felt tip pens
5x = the number of boxes of ballpoint pens
5x*4.41 + x*3.41 = 76.38
please help Math class I give brainlist
(1, -1)
hope this helpedd
Theres is a 10% chance of rain tomorrow. A spinner with 10 sections is spun to simulate the probability of rain, where spinning a 1 indicates rain. If the results are 3, 6, 1, 8, and 3, then what is the difference in the experimental probability from the simulation and the prediction?
Answer:
There is a difference of 10%
Step-by-step explanation:
In this situation, the theoretical probability, the probability of something based on logic, is 10%. This means that if the spinner was spun 10 times it would land on 1 once. However, the experimental probability, the probability determined by the results of an experiment, is 20%. This number can be found by finding how many times the spinner actually landed on 1. Out of 5 spins, the spinner landed on 1 once. So the experimental probability is 1/5, which is equal to 20%. Therefore, there is a 10% difference in the prediction and simulation.
5. The average age of men at the time of their first marriage is 24.8 years. Suppose the
standard deviation is 2.8 years. Forty-nine married males are selected at random and asked the
age at which they were first married. Find the probability that the sample mean will be more than 26.
Answer:
0.0013 = 0.13% probability that the sample mean will be more than 26.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The average age of men at the time of their first marriage is 24.8 years. Suppose the standard deviation is 2.8 years.
This means that [tex]\mu = 24.8, \sigma = 2.8[/tex]
Forty-nine married males are selected at random and asked the age at which they were first married.
This means that [tex]n = 49, s = \frac{2.8}{\sqrt{49}} = 0.4[/tex]
Find the probability that the sample mean will be more than 26.
This is 1 subtracted by the pvalue of Z when X = 26. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26 - 24.8}{0.4}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
1 - 0.9987 = 0.0013
0.0013 = 0.13% probability that the sample mean will be more than 26.
Find the values of a, if the
coefficient of x^2 in the
expansion (1+ax)^4(2-x)^3 is 6
Step-by-step explanation:
(1 + ax)⁴(2 - x)³ = (1 + 2ax + a²x²)²(8 - 12x + 6x² - x³) =
(1 + 4a²x² + a⁴x⁴ + 4ax + 2a²x² + 4a³x³)(8 - 12x + 6x² - x³) = ... 6x² + 32a²x² - 48ax² + 16ax² ...
= ... x²(6 + 32a² - 32a) ...
32a² - 32a + 6 = 6
32a(a - 1) = 0 → 32a = 0 → a = 0 OR a - 1 = 0 → a = 1
The question above is what I need to know
Answer:
a
Step-by-step explanation:
Answer:
angles 1 and 3 are supplementary
Solve the proportion.
20/16 =d/12 d= pls help
Answer:
d=15
Step-by-step explanation:
Cross multiply 20 * 12 =240
16 * d = 16d
16d=240
d=15
Pleaseee brainliest
Answer:
2√2
Step-by-step explanation:
Answer:
uhhh ok im not 100% sure but i think its
Step-by-step explanation:
A manufacturer makes marbles out of glass, like the diagram shown. each marble must have a radius of 1.25 cm to pass quality control.
What is the volume of glass needed to make each marble, in cubic centimeters? Use 3. 14 for symbol and tecall that for spheres.
Answer:
7.85 is your answer I do believe
Answer:
THE ANSWER IS 6.54
Step-by-step explanation:
Which is not a flavor that your taste buds sense?
A.sour
B. salty
C. bitter
D. warm
Answer:
warm
Step-by-step explanation:
even though our mouth can tell that the food is warm, the tastebuds don't. they can only tell the other 3.
Help I need the answer!!
Answer:
just time the numbers all together and I think the answers is B
standard unit of capacity
Answer:
Liter.
Step-by-step explanation:
Capacity can be defined as the maximum amount or quantity of liquid that a container can hold at a specific period of time. It is also referred to as the inner volume of a container.
The standard unit of capacity is a liter.
Note:
1 centimeter = 0.001 liters
1000 liters = 1 milliliters
Brainliest for answer
Answer:
the answer would be the letter A
2 math questions they can you guys help me
Answer: 1. The answer is A. 2. The answer is C again
Step-by-step explanation:
The pool has a deck that is 9 meters wide on all sides. What is the perimeter of the pool?
Answer:
36 meters
Step-by-step explanation:
If the pool has 4 sides, and every side is 9 meters you add 9+9+9+9 to get 36 or just multiply 9 x 4.
Type the correct answer in each box. Use numerals instead of words.
Consider function h.
The correct value for the given equation h(x) is h(0) = 10 and h(4) = 16.
What is Signum Function?
The sign function or signum function (from signum, Latin for "sign") is an odd mathematical function that extracts the sign of a real number.
Here,
h(0) = 2 X 0² - 3 X 0 + 10 = 10
and h(4) = 2⁴
h(4) = 16
Thus, the correct value for the given equation h(x) is h(0) = 10 and h(4) = 16.
Learn more about Signum Function from:
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Find the value of b. A. 14 B. 15 C. 64 D. 289
Answer:
B) 15
Step-by-step explanation:
8²+b²=17²
64+b²=289
b²=289-64
b²=225
b=√225
b=15
does anyone know the answer to that? IF SO PLEASE ANSWER FAST THANK YOU!!
Answer:
97
Step-by-step explanation:
c + ([tex]a^{2}[/tex] + b) - 15
a = 5
b = 3
c = 4
substitute the numbers for the letters
c + ([tex]a^{2}[/tex] + b) - 15
4 ([tex]5^{2}[/tex] + 3) - 15
solve:
4 (25 + 3) - 15
4 ( 28 ) - 15
112 - 15
97
At a hockey game, a vender sold a combined total of 104 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?The total number of hot dogs and sodas sold is 104 and the number of sodas sold was 3 times the number of hot dogs sold.
We have to form an equation first.
let the number of hot dogs sold be x.
Number of sodas will be 3x.
According to question :
x+3x=104
4x=104
x=26
Put the value of x in 3x to get the number of sodas sold.
=3x
=3*26
=78
Hence If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.
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5. Put >, <, or = in between
-0.0001701
-0.0001710
Answer:
-0.0001701 > -0.0001710
Step-by-step explanation:
-0.0001701 is greater than -0.0001710 since it is closer to 0