Answer:
47.1408
Step-by-step explanation:
They gave us the percentage of a number and wants us to find the whole
to do that we will use the following equation:
46.116*100/4.5 = 47.1408 is the number we are looking for.
Practise the Skill 5
a) Josie is going to a conference in 48 hours
How many days is this?
What is the angle of rotation of the figure?
300
Answer:
The angle of the figure is 90°
If there are 26 successful outcomes in a sample with a size of 50, what is the
sample proportion?
Answer:
the sample proportion is 26:50then if it simplyfy answer is13:25
WILL MARK BRAINLIEDT If the length of an arc of a circle of radius 7 is approximately 10.99 cm. What is the measure of the central angle associated with the arc? Use 3.14 for π. Give your answer in degrees and radians (approximate to two decimals and exact).
The angle that defines the arc is 1.57 radians or 90°.
How to get the angle of the arc?For a circle of radius R, the length of an arc defined by an angle θ in radians is given by:
L = θ*R.
Here we know that the radius is R = 7cm, and the length of the arc is 10.99 cm. Replacing these in the above equation:
10.99 cm = θ*7cm
θ = (10.99 cm/7 cm) = 1.57
Then the angle is 1.57 radians. Remember that:
3.14 radians = 180°
Then:
θ = (1.57/3.14)*180° = 90°
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[tex]\\ \rm\Rrightarrow \ell=\dfrac{\Theta}{180}\pi r[/tex]
[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180\ell}{r\pi}[/tex]
[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180(10.99}{7(3.14)}[/tex]
[tex]\\ \rm\Rrightarrow \Theta=\dfrac{1978.2}{7\pi}[/tex]
[tex]\\ \rm\Rrightarrow \Theta=90^{\circ}[/tex]
The area of Louisiana is approximately 4 x
104 square miles. The area of the United
States is approximately 225 times greater
than the area of Louisiana. What is the
approximate area of the United States?
Answer:
93,600
Step-by-step explanation:
4x104= 416
416x225 = 93,600
Find the lateral area of the prism. 8cm 6cm, I 1 13cm I 10cm Lateral Area = [?]cm² 2008-2012 International Academy of Science, All Rights Reserved. Aid Enter
The lateral area of the prism is 270cm²
What is the lateral area of a prism?
The lateral area of a prism is defined as the sum of the areas of its lateral faces.
How to determine the lateral area of a prismUsing the formula;
Lateral area = (a+ b+ c) h
Where a, b, c, are all the lateral faces and h is the height
Lateral area = (8 + 6 + 13) × 10 = 27 × 10 = 270cm²
Therefore, the lateral area of the prism is 270cm²
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Solve the inequality.
-3(4n+1) < -6(2n-6)
Answer:
no solution
Step-by-step explanation:
Given :
-3(4n+1) < -6(2n-6)
Divide by -3 on each side (and remember to change the sign) :
-1/3 x -3(4n+1) < -1/3 x -6(2n-6)
4n + 1 > 2(2n - 6)
Expand the RHS :
4n + 1 > 2(2n) - 2(6)
4n + 1 > 4n - 12
Solution :
As the coefficient of x is the same on both sides, and the constants are different, this inequality has no solution
Answer:
Given inequality:
-3(4n + 1) < -6(2n - 6)
Expand the brackets:
⇒ -12n - 3 < -12n + 36
Add 12n to both sides:
⇒ -12n - 3 + 12n < -12n + 36 + 12n
⇒ -3 < 36
Solution: True for all n
Interval Notation: (-∞, ∞)
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of
100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions
are on the test?
04
0 8
0 12
O 16
Julie puts 67 blue buttons in a bag. This number is 13 more than half the number of red buttons. The number of yellow buttons is one quarter the number of red buttons. How many yellow buttons are there in the tin?
Answer:
[tex]13 \times 1 \div 67 [/tex]
what is the answer to 7 times 6
Answer:
[tex]7 \times 6 = 42[/tex]
What is the surface area of the solid that this net can form?
13 cm
5cm
13cm
5 cm
13 cm
106 square centimeters
150 square centimeters
210 square centimeters
270 square centimeters
O 210
12 cm
12cm
13cm
5cm
5cm
5cm
5 cm
Answer:C Or 210 Sc
Step-by-step explanation:
Please Simplify
3(4x2+2x)+2(5x2+x)
find the area of the triangle ABC
Answer:
1/2 x 8 x 6
answer: 24
Step-by-step explanation:
formula of area of triangle= 1/2 x base x height
If you had 36 cookies and gave 1/2 to one friend and 1/4 to another, how many could you have left?
Step-by-step explanation:
[tex] \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} [/tex]
[tex] \frac{3}{4} 36 = 27[/tex]
Which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 4 units left and 3 units up
B. shifted 3 units left and 3 units up
C. shifted 4 units left and 4 units up
D. shifted 3 units left and 4 units up
Answer:
A
Step-by-step explanation:
To find the transformation, we need to take a point and the point to which it has been translated.
Let's take A and A'.
⇒ A = (2, -2)
⇒ A' = (-2, 1)
Change in x : -4 (shifted 4 units left)
Change in y : 3 (shifted 3 units up)
This means to obtain A'B'C'D' from ABCD, the graph has to be :
shifted 4 units left and 3 units up
Describe a situation in your life when what you know about probability may have helped you make a decision. How could you have used probability to help you with your decision? Generally, in what types of situations would knowledge of probability prove useful? Why?
Answer:
Knowledge > Probability
Step-by-step explanation:
In the moment knowledge would be useful because you are thinking about the decision you are making but after days, months or years probability would be in your mind. Also probability is just another word for chance so there would be no confirmation of said thing happening but when you have knowledge your brain knows that said thing is 100% going to happen, so for me personally knowledge is more useful than probability
ABCD is a parallelogram. Determine the length of AD.
Answer:
D) 10 units
Step-by-step explanation:
Opposite sides of a parallelogram are congruent.
__
setupThe relation between opposite sides tells you ...
BC = AD
2x = x +5
solutionx = 5 . . . . . . . subtract x from both sides of the equation
We want the length of AD, which is ...
AD = x +5 = 5 +5
AD = 10
_____
Additional comment
Often, it seems like the question is answered once the value of x is found. Here, finding the value of x is an intermediate step. The value of x is needed in order to be able to answer the question about the value of an expression involving x.
Answer:
10
Step-by-step explanation:
→ Equate both sides of the parallelogram as they are equal
2x = x + 5
→ Solve
x = 5
→ Resubstitute for the length AD
5 + 5 = 10
The weight of a bag of Brand A cookies is labeled as 3 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the packaging specifications, the weights are approximately normally distributed with a mean of 3.05 ounces and a standard deviation of 0.06 ounce. Select the number to complete the sentence. According to the specifications, approximately percent of the bags weigh 3.00 ounces or more
Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 3.05, \sigma = 0.06[/tex]
The proportion of the bags that weigh 3.00 ounces or more is one subtracted by the p-value of Z when X = 3, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 3.05}{0.06}[/tex]
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
1 - 0.2033 = 0.7967 = 79.67%.
79.67% of the bags weigh 3.00 ounces or more.
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Find the distance between the two points
Check the picture below.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 +4)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( 5 )^2} \implies d=\sqrt{ 36 + 25 } \implies d=\sqrt{ 61 }[/tex]
Logic and proof , need help asap
Answer:
Step-by-step explanation:
Make the following conversion.
60 dkm =
km
Answer:
60 dkm = 6km
Step-by-step explanation:
10 dkm = 1 km
60 dkm = 60/10 km = 6 km
Simplify (2^5/3^2)^4 I need help asap within 10 min
Answer:
[tex]\frac{2^{20} }{3^{8} }[/tex]
Step-by-step explanation:
Exponent Multiplication Rule :
[tex](\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }[/tex]
=============================================================
Solving :
⇒ [tex](\frac{2^{5} }{3^{2} } )^{4}[/tex]
⇒ [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]
⇒ [tex]\frac{2^{20} }{3^{8} }[/tex]
f(x) = x². What is g(x)?
Answer:
Which class is this
I can't believe the question
A pair of trainers cost £60.
In a sale they are reduced by 40%. What is the new price?
Answer:
36
Step-by-step explanation:
40 % of 60 = 24
60-24=36
Find the common denominator needed to subtract the following fractions. 5/6 -2/7 =
Answer:
42
Step-by-step explanation:
We need to find the Least Common Multiple (that isn't 0) between 6 and 7. To do this, list each number's multiples.
Multiples of 6: 0, 6, 12, 18, 24, 30, 36, 42, 48, 54
Multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63
Their LCM is 42. Now, we multiply the fractions so the denominators are both 42. !You have to multiply both the numerator and denominator by the same number! For 6, 6*7 is 42, so you multiply both 6 and 5 by 7. When you do this, you get 35/42. For 7, 7*6 is 42, so you have to multiply both 7 and 2 by 6. When you do this, you get 12/42. The new problem is 35/42-12/42.
Hope this helps!
Suppose you have $600 to invest in a savings plan,Find the balance after one year if you deposit all the money into an account that pays 5% APR with monthly compounding.
Answer:
P(1+[tex]\frac{r}{100}[/tex])ⁿ
600(1+[tex]\frac{5}{100}[/tex])¹
600(1+0.05)¹
600(1.05)
630
Note:
P= participle
R= rate
N= years
Chandler wants to buy a bike
that costs $345. He has a job that
pays an hourly wage of $6. He
needs to pay back $35 that he
borrowed from his mom. How
many hours does Chandler need to
work to have enough money to
purchase the bike?
48 / 48 hrs Completed, Read watch every Single thing and answer it in comments.
48 / 48 = ?
Answer:
1
Step-by-step explanation:
48 / 48 = 1
Describe the slope of this line of best fit
Answer:
there is no line
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams
Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation
1.5 s
2.4 s
What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65
The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
59.32 - 59.1 = 0.22
2.4 - 1.5 = 0.9
0.22 / 0.9 = 0.25
Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
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Answer:
c
Step-by-step explanation: