Answer:
6
Step-by-step explanation:
\(\frac{3}{4}\)÷\(\frac{1}{8}\)
\(=\frac{3}{4} \times \frac{8}{1}\)
\(=\frac{3\times8}{4\times1}\)
\(=\frac{24}{4}\)
\(=\frac{24/4}{4/4}\)
\(=6\)
Simplify: 9y(-3y to the eighth power)
How many numbers must be selected from the set {1, 2,3,4,5,6}to guarantee that at least one pair of these numbers add up to 7
Answer:
2
Step-by-step explanation:
Not one number adds up to 7. So, 6 + 1 = 7, and 4 + 3 = 7, and 5 + 2 = 7.
Whats 4x^3 times 2x^3
(4x^3)(2x^3)=8x^6
░░░░░░░░░
While planning a vacation to Europe, Cal wanted to go to Dublin, Ireland, London, England and Paris, France. The distance from Dublin to London is 78 more miles than the distance between London and Paris. If the distance between Dublin and Paris is 504 miles, including the stop in London, what is the distance between London and Paris? What is the distance between Dublin and London?
Please show your work!
Answer:
291
Step-by-step explanation:
Think of a triangle with vertices D (Dublin), L (London), and P (Paris).
Let x = DL
Let y = LP
Let z = DP
"The distance from Dublin to London is 78 more miles than the distance between London and Paris."
DL = LP + 78
x = y + 78
If the distance between Dublin and Paris is 504 miles, including the stop in London.
DL + LP = 504
x + y = 504
x = y + 78
x + y = 504
y + 78 + y = 504
2y = 426
y = 213
x = y + 78
x = 213 + 78
x = 291
Answer:
The distance between London and Paris is 213 miles, and the distance between Dublin and London is 291 miles.
Step-by-step explanation:
Let's assign variables to the unknown distances:
Distance from London to Paris = x
Distance from Dublin to London = x + 78
According to the given information, the distance between Dublin and Paris, including the stop in London, is 504 miles. Using these values, we can set up the equation:
Distance from Dublin to London + Distance from London to Paris = 504
(x + 78) + x = 504
Combining like terms:
2x + 78 = 504
Subtracting 78 from both sides:
2x = 426
Dividing both sides by 2:
x = 213
Therefore, the distance between London and Paris is 213 miles, and the distance between Dublin and London is 213 + 78 = 291 miles.
FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. ROUND TO THE NEAREST TENTH. (-4, 5) (4, 0)
Answer:
+9.4 to the nearest tenth
Step-by-step explanation:
(-4, 5) (4, 0)
Refering to the x-coordinates and the y-coordinates of these two points, we see that x changes from -4 to 4, a change of 8, which forms the horizontal leg of a right triangle. Simultaneously, y changes from 5 to 0, a change of 5, which forms the vertical leg. Now use the Pythagorean Theorem to determine the length of the hypotenuse of this triangle; this hypotenuse is the distance between the two points:
distance = +sqrt(8^2 + 5^2) = +sqrt(64 + 25) = + sqrt( 89) = +9.43 to the nearest hundredth and +9.4 to the nearest tenth.
Why would the median be a better measure of the center than the mean for the following set of data? 3, 4, 4, 4, 5, 6, 7, 23
Answer:
Step-by-step explanation:
If I found the mean, the answer would be:
3+ 4+4+4+5+6+7+23= 56
56/ 8 = 7
If I found the average value using the median, the answer would be 4.5.
In this set of data, the anomaly is 23 as it is much higher than the other numbers.
The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.
Therefore, the median is better to work out the average in this set of data.
:)
sat scores in one state is normally distributed with a mean of 1403 and a standard deviation of 200. Suppose we randomly pick 32 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1484. P(X > 1484) = b) Find the probability that the average of the scores for the sample of 48 scores is greater than 1484 P(X > 1484) = Round each answer to at least 4 decimal places.
The probability that one of the scores in the sample is less than 1484 is 0.2437 .
a)Given that mean u = 1403
standard deviation σ = 200
sample size n = 32
P(x>1484) = P(X-u/σ > 1484-1403/200)
= P (z > 0.405)
P(x>1484) = 0.2437 .
hence the probability that one score is greater than 1484 is 0.405 .
b) Now we have to find the average of the scores of 48 samples.
P(x>1484)
= P(x-μ/ σ/√n> 1484-1403 /200/√48)
= P(z>2.805.)
Now we will use the normal distribution table to calculate the p value to be 0.002516.
p-value = 0.0025
Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.
They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.
To learn more about probability visit:
https://brainly.com/question/29383481
#SPJ4
An office manager has $11,000 to spend on new equipment. He planned to purchase 400 chairs for $72 each. He completed the calculations and concluded that there would be plenty of money left to buy additional equipment. Answer problems 4–6. LOADING... Click the icon to view the calculations. 4. What does the office manager do to support his thinking? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. He does a calculation to find the cost of 400 chairs and compares the amount to $ nothing. (Type a whole number.) B. He does a calculation to find the cost of the additional equipment. C. He does a calculation to find the cost of 72 chairs. D. He does a calculation to find the difference between the cost of 400 chairs and the cost of the additional equipment and compares the amount to $ nothing. (Type a whole number.)
Answer:
A. He does a calculation to find the cost of 400 chairs and compares the amount to $11,000Step-by-step explanation:
Step one:
given data
total money =$11,000
number of chairs to be purchased= 400
cost per chair=$72
Step two:
the cost of 400 chairs will be
400*72= $28,800
there will be a deficit of
=28,800-11,000
=$17,800.
This shows that the office manager does not have enough funds for the purchase.
Hence to support his thinking,
A. He does a calculation to find the cost of 400 chairs and compares the amount to the amount he has.
Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers.
"Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers.
It is a true statement.
Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers. JJ's mother objects to a goal his IEP team recommended (to identify his ABCs) because he has worked on it for 10 consecutive years and has not mastered it.
Learn more about Duration at:
https://brainly.com/question/32886683
#SPJ4
what is the volume of the rectangular prism
It is all the numbers multiplied together. 135
Answer:
\(\Huge\boxed{D.135 cm^3}\)
Step-by-step explanation:
Hello There!
We can find the volume of the figure by using the formula for volume of a rectangular prism
\(V=lwh\)
where l = length, w = width and h = height
we are given all of the dimensions so all we have to do is plug in the values
so
V = 3 x 9 x 5
3x9=27
27x5=135
so the volume of the rectangular prism is 135 cm³
If we dilate a triangle with a scale factor of 3 how can we calculate the side lengths of the new triangles
Answer:
Option 2
Step-by-step explanation:
a tank in form of a cylinder of diameter 2cm is 7cm long. what is the capacity?(Take pi 22/7)
Answer:
22 cm^3
Step-by-step explanation:
Volume V = πr^2h
given π = 22/7, r = d/2 = 1, and h = 7
V = (22/7)(1^2)(7) = 22 cm^3
Please help! ABCD is a parallelogram if CDA equals 57 then what does BCD =?
Answer:
∠ BCD = 123°
Step-by-step explanation:
adjacent angles are supplementary , sum to 180°
∠ CDA and ∠ BCD are adjacent angles , then
∠ BCD + 57° = 180° ( subtract 57° from both sides )
∠ BCD = 123°
what is democracy???
\( \huge \fbox \colorbox{orange}{Answer:-}\)
Democracy is the form of government where people have the right to choose their representatives through the process of election.
Answer:
A democracy means rule by the people. The name is used for different forms of government, where the people can take part in the decisions that affect the way their community is run. The people elect their leaders. These leaders take this decision about laws. This is commonly called representative democracy.
-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4
-0.1
Explanation:
-3/3(a+c[b+5]-[-6+a])
-3/3(1-4[-6+5]-[-6+1])
-3/3(1-4[-1]-[-5])
-3/3(1 + 4 + 5)
-3/3(10)
-3/30
-0.1
Hope this helps!
How do I solve this problem to find ACD
Answer:
x=135
Step-by-step explanation:
135 !!!!!lollllll
A 200 L tank of water is losing about 120 mL of water a day. If the tank starts off full, how long will it be before it is less than half full?
Answer: 834 days
Step-by-step explanation:
The tank will be half full when it has lost 100 L.
Convert that to milliliters so that it can be compared with the loss rate:
1 l = 1,000 ml
100 l = 100 * 1,000
= 100,000 ml
The rate of loss is 120 ml per day. To lose 100,000 ml, the leak would have to have been going on for:
= 100,000 / 120
= 833.3
= 834 days (less than half full)
Kevin deposits $4000 into an account that pays simple interest at an annual rate of 5%. He does not make any more deposits. He makes no withdrawals until the end of 5 years when he withdraws all the money. How much total interest will Kevin earn?
If Kevin deposits $4000 into an account that pays simple interest at an annual rate of 5%, $1,000 is the total interest that Kevin will earn after 5 years if he makes no withdrawals.
Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:
Interest = P * r * t
where P is the principal
r is the rate of interest (in decimal)
t is the time
Given in the question,
P = $4000
r = 5% = 0.05
t = 5 years
Interest = 4000 * 0.05 * 5
= $1,000
Interest earned by Kevin after 5 years is $1,000.
Learn more about Simple interest:
brainly.com/question/25845758
#SPJ4
giving 20 points HELPPPP
The measure of length RQ and RS are 3.
We have,
∠QRS = 90
QS = 3√2
Now,
In ΔQRS,
From trigonometry,
Where the two angles are 45 and one angle is 90.
We know that,
RS = 1
QS = √2
RQ = 1
But,
QS = 3√2
This means,
We multiply 3 on all sides.
So,
RS = 3
QS = 3√2
RQ = 3
Thus,
The measure of length RQ and RS are 3.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ1
Help da brother out.
Answer:
y=2x+5, y=4x, y=-3+9/2x
Step-by-step explanation:
8x+4y=20 turns into:
y=2x+5
3y-12x=0 turns into:
y=4x
9x-2y=6 turns into:
y=-3+9/2x
Factor the expression completely.
625x4 - 256y4
Answer:
(625 • (x4)) - 28y4
54x4 - 28y4 3.1 Factoring: 625x4-256y4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 625 is the square of 25
Check : 256 is the square of 16
Check : x4 is the square of x2
Check : y4 is the square of y2
Factorization is : (25x2 + 16y2) • (25x2 - 16y2) 3.2 Factoring: 25x2 - 16y2
Check : 25 is the square of 5
Check : 16 is the square of 4
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (5x + 4y) • (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)
if p=-6 and q = 4 what is the smallest subset containing the value of the expression below? p^2 +q/ -|p|-q
The value of the given expression is -4, which is integer. Therefore, option B is the correct answer.
The given expression is (p²+q)/(-|p|-q).
Here, p=-6 and q=4.
Substitute p=-6 and q=4 in the given expression we get
((-6)²+4)/(-|-6|-4)
= 40/(-10)
= -4
Therefore, option B is the correct answer.
To learn more about an integers visit:
https://brainly.com/question/15276410.
#SPJ1
Because studies used in a meta-analysis have typically used different statistical tests, a statistic called _____ size is used to put all the results into a common scale.
Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.
A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.
Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.
A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).
To know more about standard deviation refer to
https://brainly.com/question/13498201
#SPJ11
Change each number to scientific notation or to standard form.
123,400
123,400 in scientific notation is 1.234 × 10^5. Alternatively, in standard form, 123,400 remains the same as 123,400.
In scientific notation, a number is expressed as the product of a coefficient and a power of 10. The coefficient is typically a decimal number between 1 and 10, and the power of 10 indicates how many places the decimal point must be shifted.
For the number 123,400, we can express it in scientific notation as 1.234 × 10^5. Here's how:
1.234 is the coefficient, which is obtained by moving the decimal point one place to the left from the original number (123,400).
10^5 represents the power of 10. Since we moved the decimal point five places to the left to obtain the coefficient, the power of 10 is 5.
So, in scientific notation, 123,400 = 1.234 × 10^5.
On the other hand, in standard form, the number remains the same as 123,400. Standard form simply represents the number without any exponential notation or powers of 10.
Therefore, whether expressed in scientific notation (1.234 × 10^5) or standard form (123,400), the numerical value of 123,400 remains unchanged.
Learn more about scientific notation from
https://brainly.com/question/1767229
#SPJ11
what fraction represents the value of sin a in️ ABC
A rectangle has a perimeter 90 cm and length 37 cm. What is it’s width
Answer:
8cm
Step-by-step explanation:
Answer:
Width= 8 on 1 side
Step-by-step explanation:
37x2=74
90-74=16
16 divided by 2 equals 8.
Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet
Answer:
4 feet
Step-by-step explanation:
Use pythagorean theorem to solve the center height of Sam’s tent.
The center height of the triangle or Sam's tent is given by AB = 4 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is BC = 3 feet
The hypotenuse of the triangle is AC = 5 feet
And , the triangles share a common height
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the height of the triangle AB = √ ( AC )² - ( BC )²
On simplifying , we get
The height of the triangle AB = √ ( 25 ) - ( 9 )
The height of the triangle AB = √16
The height of the triangle AB = 4 feet
Hence , the height of the triangle is 4 feet
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ6
Adding 3 to which digit in the number 736124 will increase the value of the number by 30,000?
Answer:
3
Step-by-step explanation:
736,124
It is in the 10 thousandths place
Find the slope of the line.
Answer:
In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line
the perimeter of the rectangle is 88 the length is five more than twice width find the length and the width
Width be x and length be 2x+5
Now
2(L+B)=882(x+2x+5)=883x+5=443x=39x=13Length=2(13)+5=26+5=31