Answer:
Working out 20% of 30
If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.
Step-by-step explanation:
Answer:
6Step-by-step explanation:
what is 20% of 30? how would you calculate it?
30 : 100 * 20 = 6
or
30 * 0.20 = 6
Which is the graph of the linear inequality Ex-2y> -6?
10
Answer:
y<3 is a horizontal line, not included, but all the points below it
Step-by-step explanation:
[tex] - 2y > - 6[/tex]
[tex]y < 3[/tex]
In how many ways can a student answer the questions on the test if the student can leave answers blank
Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 55 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time.
a. What percent of finish times was higher than 72 minutes? (Give your answers rounded to two decimal places)
b. What percent of finish times was between 52 and 70 minutes? (Give your answers rounded to two decimal places)
c. What is the 40th percentile finish time? (Round your answer to nearest tenth)
d. What is the 95th percentile finish time? (Round your answer to nearest tenth)
Using the normal distribution, it is found that:
a) 4.46% of finish times was higher than 72 minutes.
b) 55.11% of finish times was between 52 and 70 minutes.
c) The 40th percentile of finish times is 52.5 minutes.
d) The 95th percentile of finish times is 71.45 minutes.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
The mean is of 55 minutes, hence [tex]\mu = 55[/tex].The standard deviation is of 10 minutes, hence [tex]\sigma = 10[/tex]Item a:
The proportion is 1 subtracted by the p-value of Z when X = 72, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 55}{10}[/tex]
[tex]Z = 1.7[/tex]
[tex]Z = 1.7[/tex] has a p-value of 0.9554
1 - 0.9554 = 0.0446
0.0446 x 100% = 4.46%
4.46% of finish times was higher than 72 minutes.
Item b:
Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:
X = 70:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 55}{10}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 52:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 55}{10}[/tex]
[tex]Z = -0.3[/tex]
[tex]Z = -0.3[/tex] has a p-value of 0.3821.
0.9332 - 0.3821 = 0.5511
0.5511 x 100% = 55.11%
55.11% of finish times was between 52 and 70 minutes.
Item c:
The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = -0.253(10)[/tex]
[tex]X = 52.5[/tex]
The 40th percentile of finish times is 52.5 minutes.
Item d:
The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = 1.645(10)[/tex]
[tex]X = 71.45[/tex]
The 95th percentile of finish times is 71.45 minutes.
A similar problem is given at https://brainly.com/question/24663213
The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional equation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448
A desk is 39 inches wide. What is the width in yards
Answer:
1.0833 yd
Step-by-step explanation:
Inches Yards
37" 1.0278 yd
38" 1.0556 yd
39" 1.0833 yd
40" 1.1111 yd
Have a great day! :D
Help me out cause this very difficult for me
9514 1404 393
Answer:
a) 37
b) n+d
Step-by-step explanation:
This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.
Given:
a) someone bought 20 notebook computers and 17 desktop computers
b) someone bought n notebook computers and d desktop computers
Find:
a) the total number of computers bought
b) the total number of computers bought
Solution:
a) The total number bought is found by adding together the numbers of each kind:
20 +17 = 37 . . . total computers
__
b) The total number bought is found by adding together the numbers of each kind:
n + d . . . total computers
15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?
Answer:
3000 residentsStep-by-step explanation:
Given:
15% of population = 450100% of population = xCross-multiply and solve for x:
x = 100*450/15 = 3000A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
A long distance phone company charges a flat rate of $1.01 and then $0.09 for each minute. If
a call cost $9.56, how long did it last?
Answer:
30
Step-by-step explanation:
Answer:
95 minutes
Step-by-step explanation:
Deduct the flat rate from the total to see how much was spent on minutes
9.56 - 1.01 = 8.55
to get minutes divide that by the cost per minute
8.55/0.09 = 95
95 minutes
1/2x - 2=3 number line
Answer:
x = 10
Step-by-step explanation:
I don't really get what you mean, so I just solved for x.
1/2x-2=3
We add 2 on both sides.
1/2x=5
Times both sides by 2 to cancel out the 1/2
x=10.
Hope this helped. :)
(sorry if I didn't do what you wanted me to.)
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
please view the img above for the question ^^
Answer:
2
Step-by-step explanation:
because resetting the graph means it has to be a reflection
Suppose that the universal set U is the set of all even integers from 1 to 16 inclusively and A={2,4,8,16}. Find Ac by using a Venn diagram.
Answer:
Correct answer is {6,10,12,14}
Step-by-step explanation:
Solve each proportion 3 = 72 – 7
1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5
Can someone please answer this? No links, stealing the points, or deleting your answer, please! I am sick of those kinda people. Really would appreciate it if someone answered because I need a good grade!
Check the picture below.
Strawberries cost $3.00 per pound. For each question
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.0
Answer:
A. 1/3 pound
B. 11/3 or 3.666666667
Step-by-step explanation:
:)
Consider 2 1/2 divided by 1/4 write a real world problem for the division.Create a model or write an equation for the division.Find the quotient for the real world problem.Find the quotient.
Answer:
Step-by-step explanation:
How many 1/4 kg bread loaves can be made from 2½ kg of dough?
2½ / 1/4 = (5/2)•(4/1) = 20 / 2 = 10
The number of puffs made by 2½ kg of dough will be 10.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
The problem is given below:-
How many 1/4 kg puffs can be made from 2½ kg of dough?
The number of the puffs will be calculated as:-
2½ / 1/4 = (5/2) x (4/1) = 20 / 2 = 10
Therefore, the number of puffs made by 2½ kg of dough will be 10.
To know more about an expression follow
https://brainly.com/question/21446512
#SPJ5
Plz help!!!!! Need theses as soon as possible. No links plz!!!!
Answer:
1. 3
2. 0, 620
3. Positive
4. 2006
5. 2637
select all expressions that are not equivalent to 12(12r + 12) - 6(2r - 3r + 8)
Which expression is equivalent to 8^4 (8 to the 4th power)
Answer:
Step-by-step explanation:
8^4 is the same as 8·8·8·8
The exponent 4 means that 8 will be multiply by itself four time.
Answer:
4096
Step-by-step explanation:
hope this helps=)
please need help on this question thanks. see the screenshot
Check the picture below.
F = sales for Friday
we know that the total of weekend sales for Germany was F + 317 + 405.
we also know that 405 is really 37.19% of that amount, say "x", which is the 100%, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 405&37.19\\ x&100 \end{array}\implies \cfrac{405}{x}=\cfrac{37.19}{100}\implies 40500=37.19x \\\\\\ \cfrac{40500}{37.19}=x\implies 1089~\approx ~ x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{friday}{F} + \stackrel{sat/sun}{317} + \stackrel{monday}{405} \approx 1089\implies F +722 \approx 1089\implies \boxed{F\approx 367}[/tex]
If Brianna spent $65 on necklaces and bracelets at a crafts fair.
She spent $23 on bracelets and the rest on necklaces.
If the necklaces all cost the same and Brianna bought 3, how much did each necklace cost?
True or False.
A 20° angle and a 70° angle can be
composed into a 90° angle.
solve pls brainliest
Answer:
for the first one it 2
3
12
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase
Answer:
Step-by-step explanation:
As the number under the exponent is less than 1, this is a decay function.
y decreases by (1 - 0.97)100 = 3% for each unit increase in x
so the increase would be -3%
Rational numbers on the number line
Answers:
A = -5/4B = -0.5C = 2=====================================
Explanation:
The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.
Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.
A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.
Using vector concepts, it is found that the components of the velocity are given as follows:
North: 205.21 mi/h.East: 563.82 mi/h.How can a vector be represented in i and j notation?Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In which:
i is the horizontal(east/west) component.j is the vertical(north/south) component.In this problem, we have that the magnitude and the angle are given as follows:
[tex]M = 600, \theta = 70^{\circ}[/tex]
Hence the north component is:
[tex]600\cos{70^{\circ}} = 205.21[/tex]
And the east component is:
[tex]600\sin{70^{\circ}} = 563.82[/tex]
More can be learned about vectors at brainly.com/question/24606590
#SPJ1
A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation
Answer:
you can buy 6 pounds of apples
Step-by-step explanation:
What's
9/10 + (-3) in simplest form
Reduce the expression, if possible, by cancelling the common factors.
Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]
Decimal form[tex] \: \:- 0.3[/tex]
If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?
hmm let's do that with synthetic division, Check the picture below.