firstly let's convert the mixed fractions to improper fractions and then divide.
[tex]\stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} ~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\div \cfrac{21}{10}\implies \cfrac{12}{5}\cdot \cfrac{10}{21}\implies \cfrac{120}{105}\implies \cfrac{8}{7}\implies 1\frac{1}{7}[/tex]
Answer:
first make them improper fractions
2 2/5 = 12/5
2 1/10 = 21/10
now set them up
12/5 divided by 21/10
make 21/10 a reciprocal(flip the fraction upside down) and multiply across
12/5 x 10/21 = 1.14 or 1 1/7
What is the slope of the line represented by the equation y = -1/2x + ¼?
Given :-
y = -1/2x + 1/4To Find :-
The slope of the equation .Solution :-
Here a equation is given to us and we need to find out the slope of the line . The given equation is ,
→ y = -1/2x + 1/4
We know that slope intercept form of the line is ,
→ y = mx + c
where m is the slope of the line .
On comparing ,
→ m = -1/2
Hence the slope of the line is -1/2.
I hope this helps .
Estimate the quotient for 627 ÷ 9. explain how you found your awnser
69.7
Step-by-step explanation:
627 ÷ 9
=69.66666666666666
approximately
69.7
[tex] \sf \leadsto627 \div 9[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto \dfrac{627}{9} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto \dfrac{627 \div 3}{9 \div 3} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto \dfrac{209}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto 69.67[/tex]
1. Physicians There are about 900,000 active physicians in the United States, and they have annual incomes with a distribution that is skewed instead of being normal. Many different sam- ples of 40 physicians are randomly selected, and the mean annual income is computed for each sample.
a. What is the approximate shape of the distribution of the sample means (uniform, normal, skewed, other)?
b. What value do the sample means target? That is, what is the mean of all such sample means?
Using the Central Limit Theorem, it is found that:
a) The shape is approximately normal.
b) It targets the population mean.
Central Limit TheoremThe Central Limit Theorem establishes 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 sampling distribution is also approximately normal, as long as n is at least 30.
Item a:
The variable is skewed, however, the sample size is greater than 30, hence the approximate shape of the distribution is normal.
Item b:
According to the mean of the sampling distributions, given by the Central Limit Theorem, it targets the population mean.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Help I Will Give Brainliest If Correct
Hi!
The formula for volume is length * width * height
We are given the area of the base of the figure and the height.
The volume for area is length * width
That means that the length * width part of the volume formula is already done, so we just have to multiply that by the height.
[tex]3 \frac{3}{8}[/tex] * [tex]2[/tex]
[tex]6 \frac{6}{8}[/tex] [tex]= 6\frac{3}{4}[/tex]
For other volume-related questions, see:
https://brainly.com/question/18571772
We know that:
Volume = L × B × HIf L and B are multiplied, they will find the area of the base.L × B = Area of base of rectangular prism.If L and B are multiplied, they will find the area of the base.
This means that:
Area of base of rectangular prism = L × B = 3 3/8 units²Volume = Area of base of rectangular prism × HSubstitute the area of base of rectangular prism in the volume formula.
Volume = Area of base of rectangular prism × H=> Volume = 3 3/8 × HSubstitute the height in the volume formula.
=> Volume = 3 3/8 × 2You can further solve this in two methods. You can use any of them.
Method #1:Convert the mixed fractions into improper fraction.
=> Volume = [(3 × 8 + 3)/8] × 2=> Volume = [(24 + 3)/8] × 2 [Multiplication first]=> Volume = [(27)/8] × 2=> Volume = 27/8 × 2Multiply the fractions
=> Volume = 54/8 units³ = 27/4 units³Convert the volume into mixed fraction:
27/4 = 24/4 + 3/4 = 6 + 3/4 = 6 3/4 units³Method #2:Break 3 3/8 into smaller parts:
(3 3/8) × 2=> (24/8 + 3/8) × 2Simplify the distributive property:
=> 2(3) + 2(3/8)=> 6 + 6/8 = 6 6/8 = 6 3/4 units³Likewise, you can use any method, it will give the same result.
~If you have questions about my answer, don't hesitate to post it in the comments~
Hoped this helped!
Would be appreciated if someone could help on this transformation question
A. -105
B. -75
C. 75
D. 105
Answer:
B. -75
Step-by-step explanation:
Consider segments AC and A'C'. Point A' is clockwise from point A by an amount less than 90°. Positive angles are measured counterclockwise, so this suggests the angle of rotation is about -75°.
__
In the attached, we have used the invariant point on segments AC and A'C' as the vertex of the angle we want to measure. The angle between the lines appears to be about 75°, matching the answer choices.
The sum of 3, 4, and a number amounts to 16
Can someone help me with this geometry question!? ASAP
Answer:
D.
I hope it's help:))))))))))))))
An equivalent fraction to 5/16 is 10/32 correct?
Answer:
correct
Step-by-step explanation:
Yes.
You multiply both 5 and 16 by the same number, 2, to get 10/32.
A doughnut shop makes 21 different types of doughnuts each day. Customers often select a "baker's dozen" from the shop,
that is, 13 doughnuts.
How many different ways can a customer choose 13 different types of doughnut for their "baker's dozen" without
repetition?
Answer: 203490
Step-by-step explanation:
just took an L to give you the right answer
If cos (α+β) = 0, then sin(α-β) can be reduced to
[tex] \text{ cos}( \alpha + \beta ) = 0 \\ \\ \implies \: \alpha + \beta = 90 \degree [\because \text{cos \: 90 \degree} = 0 ] \\ \\ \implies \theta = 90 \degree - \beta \: \: \: \: ......(i)[/tex]
[tex] \sin( \alpha - \beta ) \\ = \sin(90 \degree - \beta - \beta ) \: \: \: \: \text{[using \: (i)]} \\ = \sin(90 \degree - 2 \beta ) \\ = \cos(2 \beta ) \: \: \: \: \: \: \: \: \text[ \because \sin(90 \degree - \theta) = \cos( \theta) ] [/tex]
Hope This Helps!! :)Consider the equation 7x+2(x+5)=9x+10.
(a) Show that x=-5 and x = 2 are both solutions to this equation.
Answer:
7*-5+2(-5+5)=-35
9*-5+10=-35
7*2+2(2+5)=28
9*2+10=28
Step-by-step explanation:
when plugging the x values in, you get the same answer for both equation, make the equation equal.
Lynn ate lunch and wanted to leave her waitress 15% tip. her meal cost 8.95$. what is the tip and the total
Answer:
Tip would be 1.34
Step-by-step explanation:
total would be 10.29
Six times the sum of a number and 20 is at least 26. Use the variable b for the unknown number.
Answer:
6(b + 20) ≥ 26
Step-by-step explanation:
6(b + 20) ≥ 26
Answer:
6(b + 20) ≥ 26
b ≥ -15 2/3
Step-by-step explanation:
6(b + 20) ≥ 26
6b + 120 ≥ 26
6b ≥ -94
b ≥ -15 2/3
Translate the sentence into an equation.
Twice the difference of a number and 7 is equal to 9 .
Use the variable Y for the unknown number.
Answer:
equation: 2(Y-7) = 9
Here the number is twice the difference.the difference is 7, so Y - 7Equals to 9.need help...much appreciated!! Thanks!!
2k + 11 = 131
2k = 131 - 11
2k = 120
k = 120/2
k = 60⁰
writing to explain tyler has 83 footballs cards that he wants to put into an album. each page holds 6 cards. how many pages will he need? how many spaces will he have left for new cards? explain to awnser.
Since tyler has 83 football cards we can divided, 83 divided by 6 cards for each page would have 13 cards, and he would have an extra page making 14 with the last one containing 5 left over cards, this would leave one space left over for new cards.
What would happen to the variance of a data set if we multiplied every observation by S?
Write the recursive formula for the following sequence:
16, 8, 4, 2, ...
Answer:
Answer is in the image
HOPE IT HELPS, BE SAFE KIDDO :3
Find the value of x. (For your answer, just type the
NUMBER. Do not put x = .)
Answer:
9
Step-by-step explanation:
The lines are parellel, so you use the formula 7x+12=9x-6 to solve for x.
I’m awful at geometry! Please help :)
Answer:
a is 64 degrees
b is 138.6667
Step-by-step explanation:
a is simple because you know a straight line has 180 degrees and since one side is 116 you simply subtract 180-116=64.
b is more complicated. Since a hexagon has a total internal angle of 720. 3 angle measures are given.
720-116- (180-82)-90=416
Since the last three angles are the same, you can divide by 3.
416/3=138.6667
Hopefully I didnt make any calculation errors because there is a lot of calculating for b.
A square has 12 cm length and it's area is equal to the area of a rectangle having length 16 cm.What is the breadth of the rectangle?
Step-by-step explanation:
Hope this helps you......
[tex] \displaystyle{ \blue{ \frak{DisneyPrincess29}}}[/tex]
Answer:
Breadth = 9 cm
Explanation:
Find the area of square using; area of square: length²area of the square:
→ 12²
→ 144 cm²
The rectangle has similar area. rectangle area: 144 cm²use the formula to find area of rectangle:
length * breadth = area of rectangleusing the formula:
→ length * breath = 144
→ 16 * breadth = 144
→ breadth = 144/ 6
→ breadth = 9 cm
Find the 23rd
term of the arithmetic sequence whose common difference is d=4 and whose first term is a = -15.
[tex] \mathsf{T_n = a + (n - 1)d}[/tex]
[tex] \to \mathsf{T_{23} = - 15+ (23 - 1)4}[/tex]
[tex] \to \mathsf{T_{23} = - 15+ (22)4}[/tex]
[tex] \to \mathsf{T_{23} = - 15+ 44}[/tex]
[tex] \to \mathsf{T_{23} = 29}[/tex]
BrainlyVIP -.- ✋
Answer:
a₂₃ = 73
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 15 and d = 4 , then
a₂₃ = - 15 + (22 × 4) = - 15 + 88 = 73
Olivia has a dozen apples of the same size
and a dozen pineapples of the same size.
Olivia uses her juicer to extract 12 ounces of
pineapple juice from 7 pineapples and 16
ounces of apple juice from 4 apples. She
makes a pineapple-apple juice blend from an
equal number of pineapples and apples.
What percent of the blend is pineapple juice?
Answer: 30% of the blend is pineapple juice
Step-by-step explanation:
Since 7 pineapples yield 12 oz of juice, 1 pineapple yields 1 5/7 oz of juice.
Since 4 apples yield 16 oz of juice, 1 apple yields 4 oz of juice.
She’s making a pineapple-apple juice where the ratio of apples and pineapples used is 1:1. To find what percent of the blend is pineapple juice:
1 apple to 1 pineapple. The combined amount of juice they produce is 5 5/7 oz. The formula to find what percent of teh blend is pineapple juice is oz of pineapple juice divided by the combined amount of juice in the blend.
1 5/7 divided by 5 5/7 equals 3/10, or 30%.
The fraction of the blend that is pineapple and apple gives the
percentage that is pineapple.
Response:
The percentage of the blend that is pineapple juice is 30%How can the percentage of pineapple juice in the blend be calculated?Amount of juice extracted from 7 pineapples = 12 ounces
Amount of juice extracted from 4 apples = 16 ounces
Therefore;
The amount of juice from 1 pineapple = [tex]\mathbf{\frac{12}{7}}[/tex] ounces = [tex]1\frac{5}{7}[/tex] ounceThe amount of juice from 1 apple = [tex]\frac{16}{4}[/tex] ounces
The amount of juice from 1 apple = 4 ouncesWhich gives;
The amount of juice from 1 pineapple and 1 apple = [tex]\frac{12}{7}[/tex] + 4 = [tex]\frac{40}{7}[/tex] = [tex]5\frac{5}{7}[/tex]
The amount of juice from 1 pineapple and 1 apple = [tex]5\frac{5}{7}[/tex] ouncesThe percentage of pineapple juice is therefore;
[tex]Percentage \ pineapple \ juice \ in \ blend= \dfrac{\dfrac{12}{7} }{\dfrac{40}{7} } \times 100 = \dfrac{12}{7} \times \dfrac{7}{40} \times 100 = \underline{30\% }[/tex]Learn more about percentages here:
https://brainly.com/question/26150306
if the arithmetic mean of 8,4,6,x,2,7 is 5 then find the value of x?
Answer:
This gives us the value of $x$ as 3. Hence the answer is 3.
Step-by-step explanation:
Step-by-step explanation:
if you would arrange it in order and solve you will get 3
If a> 1 then prove that a^2>1
Step-by-step explanation:
a² = a × a
a > 1
a² = (1+d) × (1+d) = 1² + 2d + d²
with d > 0
since d > 0, then so is 2d and also d².
so, a² is the sum of 1² = 1 and something greater than 0.
so, a² > 1
Richard tosses a football with an initial velocity of 10ft/sec from an initial height of 6ft. What is the maximum height the ball will reach?
A. About 7.6ft
B. About 0.3ft
C. 1ft
D. 6ft
Answer: A
The maximum height the ball will reach is 7.6 ft.
Maximum height of the projectileThe maximum height attained by the projectile is calculated as follows;
v² = u² - 2gh
where;
v is the final velocity at maximum height = 0u is the initial velocityh is the heightg is acceleration due to gravity0 = u² - 2gh
2gh = u²
[tex]h = \frac{u^2}{2g} \\\\h = \frac{10^2}{2(32.2)} \\\\h = 1.6 \ ft[/tex]
Thus, the maximum height the ball will reach = 1.6 ft + 6ft = 7.6 ft.
Learn more about maximum height here: https://brainly.com/question/12446886
In △ABC,c=9, m∠B=65°, and a=105. Find b.
Answer:
Step-by-step explanation:
b² = a² + c² - 2ac × cos (m∠B)
b² = 105² + 9² - 2(9)(105)cos65°
b ≈ 101.5
Which point is located at (3,4)? A) M. B) N. C) O. D) P
B) N.
As we can see that the point N is 4 units away from x axis and 3 units away from y axis. Thus constituting the coordinate (3,4)
Answer:
B) N
Step-by-step explanation:
HOPES THIS HELP
factorise 8x+12 please
Answer: 4(2x+3)
Step-by-step explanation:
The greatest common factor in the two terms is 4.
Therefore, by factoring out a 4 we get
4(2x+3)
Whats point slope formula again
i forgot-
Answer:
● Whats point slope formula
[tex]➢ \: formula = y - {y}^{1} = m \: (x - {x}^{1} \\ y = coordinate \: of \: second \: point \\ {y}^{1} \: coordinate \: of \: point \: one \\ m = slope \\ x = coordinate \: of \: second \: point \\ {x}^{1} = coordinate \: of \: point \: one.[/tex]
[tex]TextFromYourMrEx[/tex]
#CarryOnLearning
Hi!
I can help you with joy! :)
Remember, point-slope form
[tex]\rm{y-y1=m(x-x1)[/tex]
Where
y1 is the y-coordinate of the point
m is the slope
x1 is the x-coordinate of the point
Hope it helps!
Enjoy your day!
[tex]\bf{erutaNtneliS[/tex]