The equation that justifies ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B
How to justify the powerwe are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]
The justification has to be done with the use of the properties of powers as well as roots.
[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]
then we would have:
[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]
then we would have
[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]
= 10
Read more on powers and cube roots herehttps://brainly.com/question/12859104
#SPJ1
Patty made a scale drawing of a park using a scale of in.=45ft. The table below shows the side lengths in her drawing. Jamie uses Patty's drawing to make a different scale of 2 in.= 35ft. Which value is one of the side lengths o Jamie's drawing?
Answer: A scale is a ratio of the size of the representation (such as a drawing) to the size of the real-world object being represented. In this case, Patty's drawing uses a scale of 1 inch = 45 feet, and Jamie's drawing uses a scale of 2 inches = 35 feet.
In order to find the side length of Jamie's drawing of one of the side length we need to use a proportion:
Jamie's side length / Patty's side length = Jamie's scale / Patty's scale
So if we know one of the side length of Patty's drawing we can find the side length of Jamie's drawing. Let's assume that the side length of Patty's drawing is x
x / Jamie's side length = 45 / 35
So we can isolate Jamie's side length by multiplying both sides by Jamie's scale of 35ft/2 inches
Jamie's side length = (x*35)/45
This is the length of one side length in Jamie's drawing using the scale of 2 inches = 35 feet. If you don't have the length of one side in patty's drawing you can't find the side length of Jamie's drawing.
Step-by-step explanation:
Mrs. Cazares went shopping for candy for her students. She bought 6 bags of candy. She had a coupon for $6 off her purchase. If she spent a total of $36, how much was each bag of candy?
Answer:
7
Step-by-step explanation:
hope you have a great day!
Answer:
6x6=36 so 36+$6 discount, 42
Step-by-step explanation:
42
Anyone knows the answer ?
The solution for the question found using the double angle formula for cosine is -[tex]\frac{7}{25}[/tex].
What are double angle formulae?
There are some trigonometric formulas that are known as double angle formulae because they contain double angles, such as Sin 2x, Cos 2x, and Tan 2x.
The double angle formula for cosine is
Cos 2θ = Cos²θ - Sin²θ
=2Cos²θ – 1
= 1 – 2Sin²θ
Given sinθ = [tex]\frac{4}{5}[/tex]
cos(2θ) = 1-2sin²θ = [tex]1-2[/tex]×( [tex]\frac {4}{5}[/tex])² = [tex]1-[/tex] [tex]\frac{32}{25}[/tex] = [tex]\frac{-7}{25}[/tex]
Therefore Cos(2θ) fund using double angle formula is -[tex]\frac{7}{25}[/tex]
To learn more about double angle formulae, follow the link.
https://brainly.com/question/14691
#SPJ1
The solution for the question found using the double angle formula for cosine is -.7/-25
What are double angle formulae?There are some trigonometric formulas that are known as double angle formulae because they contain double angles, such as Sin 2x, Cos 2x, and Tan 2x.
What is angle?An angle is a measure of the amount of rotation between two rays or lines that share a common endpoint, called the vertex of the angle. The two rays or lines are called the sides of the angle, and the endpoint is called the vertex. The size of an angle is typically measured in degrees or radians, with one full rotation around a point (360 degrees or 2π radians) being equal to a full circle.
The double angle formula for cosine is
Cos 2θ = Cos²θ - Sin²θ
=2Cos²θ – 1
= 1 – 2Sin²θ
Given sinθ = 4/5
cos(2θ) = 1-2sin²θ = 1-2×(4/5 )² = 1-32/25 = -7/25
Therefore Cos(2θ) fund using double angle formula is -
To learn more about double angle formulae, follow the link.
brainly.com/question/14691
#SPJ1
Anyone know this?????
Answer:
I found a calculator that does the work for you it's called calculator soup
Step-by-step explanation:
here's the link https://www.calculatorsoup.com/calculators/statistics/quartile-calculator.php
** If you cannot see, please zoom in and my apologies.
Cassie used a random sample from class A and class B to create these box plots.
Which box plot has a greater variability?
A. Box plot A because it has a greater range.
B. Box plot B because it has a greater range.
C. Box plot A because it has a greater median.
D. Box plot B because it has a greater median.
PLEASE, don’t answer if you don’t know the answer to this question. Whoever answers correctly will get Brainliest! :)
Answer:
A
Step-by-step explanation:
The greater the range the greater the variability of the numbers
Answer: A
Box plot A because it has a greater median.
Step-by-step explanation:
Hope this help!
PLSSSS HELP WILL GIVE BRAINLIEST
NO LINKS OR BANNED
Tina is constructing an angle congruent to ZABC.
What is her next step?
A. Using MN as the radius, place the center of the
compass on P and construct an intersecting arc.
B. Using MB as the radius, place the center of the
compass on P and construct an intersecting arc.
C. Using MN as the radius, place the center of the
compass on Y and construct an intersecting arc.
D. Using MN as the radius, place the center of the
compass on X and construct the intersecting
arc.
Answer:
C
Step-by-step explanation:
Blank probability is the prediction ratio of favorable outcomes to the total number of outcomes.
Plz help me well mark brainliest if correct!!....
Answer:
The first one is correct.
10. Matt has twice as many stickers as David. If David has d stickers, and Matt gives David 10 stickers, how many stickers does each have in terms of d?
Therefore, the number of stickers David has in terms of d is d+10 and the number of stickers Matt has in terms of d is 2d-10.
Define term.A term is a phrase or statement that is used to convey a certain meaning. Rap, punk, grunge, and heavy metal are examples of words used to characterize certain musical genres. To the majority of people, at least, "sweetie" is a word of affection.
What are phrases and statements?A phrase is a collection of words with significance but which is not usually a complete sentence. A set of words that form a sentence must have a topic.
We know that Matt has twice as many stickers as David, so if David has d stickers, then Matt has 2d stickers.
When Matt gives David 10 stickers, David has d+10 stickers and Matt has 2d-10 stickers.
So the number of stickers David has in terms of d is d+10 and the number of stickers Matt has in terms of d is 2d-10.
To know more about terms visit:
https://brainly.com/question/26099230
#SPJ1
Which ordered triple is plotted?
(3, −5, 4)
(3, 5, 4)
(−3, 5, 4)
(−3, −5, 4)
Answer:
B
Step-by-step explanation:
Its B
Answer:
(3,5,4)
Step-by-step explanation:
B
Need help with this help me out
All rectangles are parallelograms. Are all parallelograms
rectangles? Explain.
Answer: No
Step-by-step explanation: a rectangle can be a parallelogram because it qualifies to be a parallelogram however a parallelogram can’t be a rectangle because a rectangle has all 90 degree angles and that opposite sides can be equal and parallelograms come in different forms
Find Area, can't figure out how to get answer.
Which numbers do I use for each figure??
Answer:
Use L x W x H
Step-by-step explanation:
So...
5 x 12 x 8 = 480
Plzz help me Well Mark Brainliest If correct!!....
Answer: B) 45 minutes.
Step-by-step explanation:
5 minutes * 9 = 45 minutes.
Can y’all help me on question 22?!
What is an angle that is supplementary to AEB?
Answer:
There are two. <CEB and <AED. You could put either one.
Step-by-step explanation:
There are two. <CEB and <AED. You could put either one.
For FFA, Mr. Sink bought 7 calves for $3,500. He later bought another calf for $600. What is the mean cost for all of the calves?
Answer: Mr. Sink bought 7 calves for a total of $3,500, and he later bought another calf for $600, for a total of $4,100.
In total, Mr. Sink bought 7 + 1 = 8 calves.
The mean cost for all of the calves is equal to the total cost of all of the calves divided by the number of calves.
Therefore, the mean cost for all of the calves is 4,100 / 8 = $512.50.
Step-by-step explanation:
Write the equation of the line ( will mark brainlist)
Answer:
[tex]y=-\frac{5}{3} x+5[/tex]
Step-by-step explanation:
Points on the graph: (0, 5) and (3, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-5)/(3-0)
m= (-5)/3
m= -5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -5/3(x - 0)
y - 5 = -5/3x
y = -5/3x + 5
In your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you are getting dressed, and you can't see the color of the socks. Suppose you pick two socks and one is yellow and one is blue. What is the probability that the third sock you pick will be blue?
Answer:
A 50% chance.
Step-by-step explanation:
After subtracting 1 yellow sock and 1 blue sock, there are 11 blue and 11 yellow socks left.
So a 22 sock total.
The probability of picking another blue sock on the third try is the ratio of blue socks to total socks:
11/22 = 1/2=50%
Take a look at the following set of data: 22, 20, 23, 2, 21, 25, 31, 28.
What word describes the data point 2?
outsider
range
outlier
median
Answer: outlier
Step-by-step explanation:
It is way lower than the rest of the data.
Answer:
Outlier
Step-by-step explanation:
An outlier is a number that lies significantly out of the range of all the other numbers.
I also took the quiz, and this was correct.
A 7 sided die is rolled. What is the probability a number greater than 5 or an odd number is rolled?
Answer:
5/7
Step-by-step explanation:
5,6,7,1, and 3 would have to be rolled, which is 5 out of the 7 numbers that can possibly be rolled
In triangle ABC, what is the measure of b if a = 51, c = 38, and B = 41°?
Round the answer to the nearest hundredth.
Answer:
33.46
Step-by-step explanation:
Using the cosine rule;
b² = a²+c²-2accosB
b² = 51²+38²-2(51)(38)cos41
b² = 2601+1444-2(51)(38)cos41
b² = 4045-2,925.25
b² = 1,119.74
b = √1,119.74
b = 33.46
Hence the value of b to nearest hundredth is 33.46
-x^2q-2x+10=0
Using the quadratic function above, identify all the parts of the function below.
A:
B:
C:
Axis of symmetry :
Answer:
In the quadratic function "y = -x^2q - 2x + 10", the term "-x^2q" is the coefficient of the quadratic term and is represented by the letter "A". The term "-2x" is the coefficient of the linear term and is represented by the letter "B". The constant term "10" is the coefficient of the constant term and is represented by the letter "C".
The axis of symmetry of the graph of this quadratic function is the line that divides the graph into two congruent halves. It can be found by using the formula "x = -B / 2A". In this case, the axis of symmetry is "x = -(-2) / 2(-x^2q) = x^2q / x".
So in the function "y = -x^2q - 2x + 10", the coefficient of the quadratic term is "A = -x^2q", the coefficient of the linear term is "B = -2x", the coefficient of the constant term is "C = 10", and the axis of symmetry is "x = x^2q / x".
here are the ages in years of 10 children
4 9 6 7 3 5 2 6 4 6
What is the mode median and range
Answer:
mode-6
median-5.5
range-7
The makers of a popular brand of laundry detergent have discovered a new secret ingredient that they believe will boost the cleaning power of their detergent. The new ingredient is expensive, and if they use it, they would have to increase the retail price of the detergent (and they worry that the price increase will cause them to lose customers). However, they believe that if the improved detergent gets clothes drastically cleaner, customers will recognize that it is worth the extra cost. They conduct an experiment to compare the performance of the new and old formulas at removing grass stains, red wine, and chocolate from white t-shirts. Each cleaned shirt was rated on a scale from 1 (stain did not get removed) to 10 (no evidence of the stain) by trained experts. They compared the average rating for the new and old formulas. Suppose, at the 5% significance level, they find that the new formula cleaned the shirts significantly better than the old formula, with a p-value of 0.046. Interpret the p-value, in terms of the probability of the results happening by random chance, in this context.
Answer:
The p-value is of 0.046 < 0.05, which means that there is a low probability of the results happening by random chance, and thus there is significant evidence to conclude that the new formula cleaned the shirts significantly better than the old formula.
Step-by-step explanation:
If the p-value is less than the significance level, it means that there is a low probability of the results happening by random chance.
In this question:
The p-value is of 0.046 < 0.05, which means that there is a low probability of the results happening by random chance, and thus there is significant evidence to conclude that the new formula cleaned the shirts significantly better than the old formula.
The UR Nuts Company sells Deluxe and Premium nut mixes, both of which contain only cashews, brazil nuts, almonds, and peanuts. The Premium nuts are much more expensive than the Deluxe nuts. A consumer group suspects that the two nut mixes are really the same. To find out, the group took separate random samples of 20 pounds of each nut mix and recorded the weights of each type of nut in the sample. Here are the data:
Type of mix
Type of nut Premium Deluxe
Cashew 6lb 5lb
Brazil nut 3lb 4lb
Almond 5lb 6lb
Peanut 6lb 5lb
Required:
Explain why we can't use a chi-square test to determine whether these two distributions differ significantly.
Answer:
No the conditions for this test are not met, as 20% of the data has expected value less than 5. And 37.5% data is equal to 5.
Step-by-step explanation:
The conditions for the chi square test independence are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given have equal chances of occurrences or are dependent on each other.
The sample collected has 20 % of data having expected values less than 5.
And 37.5% data is equal to 5.
We cannot use a chi-square test to determine whether these two distributions differ significantly because the expected value for some cells is less than 5.
What are the requirements for chi square test of independence?The variables under study must be categoricalSample is random sampleThe expected frequency count for each cell of the contingency table is at least 5.For the considered case, the sample is not large enough.
Although the sample was taken randomly and values are categorical, expected values are sometimes less than 5 for some cells of the contingency table.
Learn more about chi square test of independence here:
https://brainly.com/question/16956499
The table shows the number of one doctor’s patients who caught a cold one week and whether or not they exercised regularly. help me please!
2) P(did not exercise | did not catch a cold) = 1/16
3) P(did not catch a cold | did not exercise) = 1/6
4) The events "did not exercise" and "did not catch a cold" are dependent events.
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
The formula of the probability of an event A is:P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
Conditional probability formula:For events A, B,
P(A|B) means, event A and event B are depends on each other.
P(A | B) = n(A ∩ B) / P(B)
For given situation:
the total number of doctor’s patients: 8 + 30 + 10 + 2 =50
⇒ n(S) = 50
Let event A: did not exercise
⇒ n(A) = 10 + 2
⇒ n(A) = 12
⇒ P(A) = 12/50
event B: did not catch cold
⇒ n(B) = 30 + 2
⇒ n(B) =32
⇒ P(B) = 32/50
patient who did not catch a cold as well as who did not exercise = A ∩ B
⇒ n(A ∩ B) = 2
⇒ P(A ∩ B) = 2/50
2) To find: P(did not exercise | did not catch a cold)
⇒ P(A | B) = P(A ∩ B) / P(B)
⇒ P(A | B) = [tex]\frac{\frac{2}{50} }{ \frac{32}{50} }[/tex]
⇒ P(A | B) = 2/32
⇒ P(A | B) = 1/16
3) To find: P(did not catch a cold | did not exercise)
⇒ P(B | A) = P(B ∩ A) / P(A)
⇒ P(B | A) = [tex]\frac{ \frac{2}{50} }{ \frac{12}{50} }[/tex]
⇒ P(B | A) = 2/12
⇒ P(B | A) = 1/6
4) Since P(B | A) ≠ P(B)
i.e., P(did not catch a cold | did not exercise) ≠ P(did not catch a cold)
This means, the events "did not exercise" and "did not catch a cold" are dependent.
Learn more about probability here:
https://brainly.com/question/12478394
#SPJ2
What are the sine, cosine, and tangent ratios for angle a?
Answer:
sine: 5:13
cosine: 12:13
tangent: 5:12
Step-by-step explanation:
sine is opposite:hypotenuse
cosine is adjacent:hypotenuse
tangent is opposite:adjacent
There are 12 girls and 18 boys in a class. What is the largest number of group they can be split into and have the same of boys and girls on each team?
Answer: The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups with 2 boys and 2 girls in each group.
Solve.
5370
Please help please
Answer:
[tex]5370^{0}=1 [/tex] is a required answer.