We conclude that z-score = 0.0005 which is less than 5%.
To calculate the z-statistic,
We must first calculate the standard error.
What is the formula for standard error?
Standard error is standard deviation divided by the square root of the population.
[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]
In this case, it is equal to 1.81.
The z-score is defined the distance from the sample to the population mean in units of standard error.
z = (26 – 20)/1.81 = 3.31
Therefore we conclude that z-score = 0.0005 which is less than 5%.
To learn more about the z-score visit:
https://brainly.com/question/25638875
How do i know what's is the number
work out [tex]\frac{1}{5}[/tex] of 80
Answer:
Here we will explain how to calculate one half of 80.
One half of 80 is simply one half times 80, which can be written as follows:
One/half x 80
Furthermore, you can convert "one" to "1" and "half" to "2" and then the equation and answer is:
1/2 x 80 = 40.00
Step-by-step explanation:
Hey there!
In order to find 1/5 of 80, we can just multiply 80 times 1/5:
[tex]\bold{\displaystyle\frac{1}{5} *80}[/tex]
80 can be written as follows:
[tex]\bold{\displaystyle\frac{1}{5} *\frac{80}{1}}[/tex]
In order to multiply fractions, just multiply the top of one fraction times the top of the other fraction; same with the bottom (also called the denominator)
[tex]\bold{\displaystyle\frac{80}{5}}[/tex]
Guess what? Now we can use mental maths to solve it :)
Hence, the answer is
[tex]\boxed{\boxed{\bold{16}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10
Answer:
a = 26
Step-by-step explanation:
29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23
135 + a / 7 = 23
135 + a = 161
a = 26
The Venn diagram shows people go to work
Answer:
If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither
Step-by-step explanation:
Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none
PLEASE HELPP LOOK AT PICTURE TO ANSWER QUESTION
Answer:
2
Step-by-step explanation:
3^2 = 9
pls help and explain im actually confused thxx
Answer:
(2x,2y)
Step-by-step explanation:
Hope this helps!!!
The balloon rises vertically so that the distance between the balloon and Student A is 90 feet. How
many feet did the balloon rise? Express your answer to the nearest foot.
Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:
[tex]60^2 + h^2 = 90^2[/tex]
[tex]h = \sqrt{90^2 - 60^2}[/tex]
[tex]h = 67.08[/tex]
The balloon rises 67.08 feet.
More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675
An office supply store in Newport purchased a printer at a cost of $175 and marked it up 45%. Later on, Oliver bought the printer. If the sales tax in Newport is 12%, how much did he pay in all?
please help asap would appreciate it ty
Answer: $284.20
Step-by-step explanation:
In the picture
please giv the answer asap. I'll mark brainliest.
Answer:
Step-by-step explanation:
x = 5.4178
10000x = 54178.178
10x = 54.178 Subtract: that gets rid of the repeating decimal.
9990x = 54124 Divide by 9990 on both sides
9990x/9990 = 54124/9990 The Greatest common divisor of these two is 2
x = 27062/ 4995
p/q = 27062 / 4995
Simon's dog jumped into
a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog
part a: how long is the bridge, in feet?
part b: how many feet did the dog swim?
The length of the bridge and the length the dog swam are 12.12 feet and 32.36 feet respectively
The problem forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
Therefore, the length of the bridge and the length the dog swam can be calculated as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / x
cross multiply
x = 30 / tan 68
x = 12.12 ft
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
learn more on right triangle here: brainly.com/question/22734914
simplify and expand 5(m+2) -3(m-2)
thank you
Answer:
2(m+8)
Step-by-step explanation:
5(m+2) -3(m-2)
= 5m+10-3m+6
= 2m+16
= 2(m+8)
Answer:
2m +16Step-by-step explanation:
[tex]\begin{aligned}& 5(m+2)-3(m-2) \\\\=& 5 m+5 \times 2-(3 m-6) \\\\=& 5 m+10-3 m+6 \\\\=&(5 m-3 m)+(10+6) \\\\=& 2 m+16\end{aligned}[/tex]
Which of these is the algebraic expression for the verbal expression "ten times the difference of a number and twelve?" can someone tell me the answer plus i cann't even log in
Answer:
10(x - 12)
Step-by-step explanation:
10(x - 12)
10x - 120 Distributive Property
Elaine is buying materials for draperies. If the smaller panel costs 79$ for the 24 square feet shown, what should Elaine expect to pay for the larger panel after the dimensions are doubled
Find the perimeter and area of a regular hexagon with side lengths of 8 and an apothem of 9.
The perimeter and area of a regular hexagon with side length of 8 and apothem of 9 are 48 units and 216 units² respectively.
What is a regular hexagon?A regular hexagon is a polygon with 6 sides and the angles are congruent.
The perimeter of the hexagon is the sum of the whole sides. Therefore,
side length = 8 units
apothem = 9 units
perimeter = 8 × 6 = 48 cm
The area of the hexagon can be calculated as follows:
area = 1 / 2 pa
where
p =perimeter
a = apothem
Therefore,
area = 1 / 2 × 48 × 9
area = 432 / 2
area = 216 units²
learn more on hexagon here: https://brainly.com/question/15392522
write 0.0569 correct to one significant figure
Answer:
0.05
Step-by-step explanation:
- All zeros before any non-zero digit in decimal are non-significant.
-All zeros after any non-zero digit in decimal are significant.
Therefore, the answer is 0.05.
solve pls brainliest
Answer:
[tex](\frac{2}{3})^{4}[/tex] written in simplest form is [tex]\frac{16}{81}[/tex]
Step-by-step explanation:
When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is [tex]\frac{2}{3}[/tex] and the exponent is 4, so you can write the expression as [tex]\frac{2^{4}}{3^{4}}[/tex]. [tex]2^{4}[/tex] is 16, and [tex]3^{4}[/tex] is 81, so the fraction is [tex]\frac{16}{81}[/tex].
If you have
[tex]3^{n-1} *\frac{n(n+1)}{2} = 20412[/tex]
whats the process for solving n?
Answer:
Step-by-step explanation:
3^(n-1) * (n(n+1)/2 = 20412
The n(n +1)/2 is a factorial which is defined for integers so we are looking for a whole number solution.
We could draw a graph manually or using software and get the solution where the graph cuts the x axis.
Also we could find the prime factors of 20412:
20412 = 2^2 * 3^6 * 7
and try substituting 2, 3 and 7 into the equation
Using this method we see that one solution is n = 7.
I could have tried n = 7 first because 3^n-1 = 3^6!!
HELPPP
47 The figure below shows Andrew's plan for a deck. 24 ft 22 ft 12 ft 33 ft [not drawn to scale] Find the area, in square feet, of the deck.
Show your work,
Answer:
681ft^2
Step-by-step explanation:
Start by finding the area of the whole thing with the missing triangle:
33 x 22 = 726
Then find the area of the triangle. You can do this by first finding out the side lengths of the triangle:
33 - 24 = 9 and 22 - 12 = 10
Then multiply both sides and divide by two because it is a triangle:
10 x 9 = 90 90/2 = 45
Then subtract the area of the triangle from the rectangle:
726 - 45 = 681
Answer:
pls give brainliest
Step-by-step explanation:
l w +l x w=22 + 33 x 24 + 12=55 x 36 =1980
Can someone please help me with this? My mind is blank after doing a lot of questions.
Answer:
6 Hours
Step-by-step explanation:
No.of leaflets---no.of people---work hours
1000 ————. 4. - — — — — — — 5
1500 — — — —5 — — — — — ,— —?
If work increase, no.of people needed more
So, the required ratio is 1500/1000
If work men increase, no of hours decrease
So, the required ratio is 4/5
(1500/1000)× (4/5)×5 = 6
No.of hours required to distribute 1500 leaflets by 5 people = 6 hours
what are the solutions to the equation?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:f(x) = g(x)[/tex]
[tex]\qquad \sf \dashrightarrow \:x + 2 = - {x}^{2} + 4[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + x + 2 - 4 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + x - 2 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0 [/tex]
[tex]\qquad \sf \dashrightarrow \:x(x + 2) - (x + 2) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:(x + 2)(x - 1) = 0[/tex]
Hence, x = -2 or x = 1
more questions!!! he
Answer:
[tex] - 3 \frac{1}{6} \div ( - 1 \frac{4}{9} ) \\ \\ - \frac{19}{6} \div ( - \frac{13}{9} ) \\ \\ - \frac{19}{6} \times ( - \frac{9}{13} ) \\ \\ - \frac{19}{2} \times ( - \frac{3}{13} ) \\ \\ = \frac{57}{26} = 2 \frac{5}{26} = 2.1923[/tex]
Answer:
2 5/26
Step-by-step explanation:
1) convert 3 1/6 to improper fraction. Use this rule: a b/c = ac+b/c
- 3 * 6 + 1/ 6 ÷ -1 4/9
2) Simplify 3*6 to 18.
-18+1/6 ÷ -1 4/9
3) Simplify 18 + 1 to 19.
-19/6 ÷ -1 4/9
4) convert 1 4/9 to improper fraction. Use this rule: a b/c = ac+b/c
-19/6 ÷ -1*9+4/4
5) Simplify 1 * 9 to 9
-19/6 ÷ -9+4/9
6) Simplify 9 + 4 to 13.
-19/6 ÷ -13/9
7) Use this rule: a ÷ b/c = a × c/b
-19/6 × 9/-13
8) Use this rule: a × c/d = ac/bd
- 19*9/6*-13
9) Simplify 19 * 9to 171
-171/6*-13
10) Simplify 6 * -13 to -78
-171/-78
11) Move the negative sign to the left.
-(-171/78)
12) simplify 171/78 to 57/26
-(-57/26)
13) Remove parentheses.
57/26
14) Convert to mixed fraction.
2 5/26
can someone send the answer that on the picture and show your work
Answer:
k = 52
Step-by-step explanation:
- 8 = [tex]\frac{k-4}{-6}[/tex] ( multiply both sides by - 6 to clear the fraction )
48 = k - 4 ( add 4 to both sides )
52 = k
Answer: k=52
Step-by-step explanation:
-8= k-4/-6
multiply by -6
48=k-4
add 4 to both sides
k=52 :)
HELP
Manny kept track of the number of home runs he hit every year in high school.
{11, 10, 17, 18)
What is the mean absolute deviation (MAD) of the data set?
Enter your answer in the box. Round to the nearest tenth, if necessary.
Answer:
Ok, to find MAD, you have to add up all of the decimals in the set, and then divide by how much decimals there are in the set.
Adding them all up...
The final result of the adding is 56.7
Now, we have to divide by how much decimals.
We now have. 56.7 / 6
Do the division.
56.7 / 6 ===> 9.45
No need to round, the final answer is 9.4
What is the slope of the original line?
yo how you people doing what's -25 - 57 + 35 ?????
Answer:
-47
Step-by-step explanation:
you don't you use the calcaulator
A bag contains 5 red marbles 8 green marbles 6 orange marbles and 11 yellow marbles what is the probability of randomly choosing an orange marble
Answer: 20%
Step-by-step explanation: Add all the marbles together:5 + 8 + 6 +11= 30
Find the probability of orange: 6/30
Now divide 6 by 30= .2
Turn .2 into a decimal: 20%
X+6y=10 x+5y=9
Use elimination to solve the following equations
Answer:
(4, 1 )
Step-by-step explanation:
x + 6y = 10 → (1)
x + 5y = 9 → (2)
subtract (2) from (1) term by term to eliminate x
0 + y = 1
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
x + 6(1) = 10
x + 6 = 10 ( subtract 6 from both sides )
x = 4
solution is (4, 1 )
Answer.. below: . . .
. . . . . ....
.
.
.
3/12 + 239/12 =
2309/23 + 32/32=
34/234 + 349/234=
23/23-11/23=
57/78-32/78 =
Answer:
3/12 + 239/12 = 20.16...
2309/23 + 32/32= 101.39
34/234 + 349/234=1.64
23/23-11/23= 0.52
57/78-32/78 = 0.32
Step-by-step explanation:
Just divide both sides first and then add, so it is easier to get your answer.
My answers are all rounded or repeated.
I hope this helps!
-No one
Answer/Step-by-step explanation:
3/12 + 239/12
3 + 239 = 242
242/12 = 20 1/6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Find common multiplier
2309/23 + 32/32
Add
2332/23
Mixed Fraction
101 9/23
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
34/234 + 349/234
23 + 349 = 383
383/234
Mixed Fraction
1 149/234
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
23/23-11/23
23 - 11 = 12
12/23
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
57/78 - 32/78
57 - 32 = 25
25/78
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
1. D=7.4 calculate the area of the circle
2. R=2.2 yd
Calculate the circumference of the circle
3. D=5 cm
Calculate the circumference of the circle
4. D=6 cm
Calculate the circumference of the circle
5. R=2.1 m
Calculate the area of the circle
6. R= 1.3 mm
Calculate the circumference of the circle
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
We need to know two formulas before we start ~
Area of circle = [tex]\sf \pi r² [/tex]Radius (r) = diameter (d) ÷ 2 Circumference = [tex]\sf 2\pi r \:\: or \;\;\pi d [/tex]Taking value of pi as 3.14
Let's solve ~
problem 1[tex]\qquad \sf \dashrightarrow \:d = 7.4[/tex]
[tex]\qquad \sf \dashrightarrow \:r = d \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 7.4 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 3.7 \: \: units[/tex]
now,[tex]\qquad \sf \dashrightarrow \:area = 3.14 \times (3.7) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:a = 42.9866 \approx43 \: \: unit {}^{2} [/tex]
problem 2[tex]\qquad \sf \dashrightarrow \:r = 2.2 \: yd[/tex]
[tex]\qquad \sf \dashrightarrow \: circumference = 2 \times 3.14 \times 2.2[/tex]
[tex]\qquad \sf \dashrightarrow \: c =13.816 \: yd[/tex]
problem 3[tex]\qquad \sf \dashrightarrow \:d = 5 \: cm[/tex]
[tex]\qquad \sf \dashrightarrow \:circumference = 3.14 \times 5[/tex]
[tex]\qquad \sf \dashrightarrow \:c = 15.7 \: \: cm[/tex]
problem 4[tex]\qquad \sf \dashrightarrow \:d = 6 \: cm[/tex]
[tex]\qquad \sf \dashrightarrow \:circumference = 3.14 \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \:c =18 .84 \: \: cm[/tex]
problem 5[tex]\qquad \sf \dashrightarrow \:r = 2.1 \: m[/tex]
[tex]\qquad \sf \dashrightarrow \:area = 3.14 \times (2.1) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:a = 3.14 \times 4.41[/tex]
[tex]\qquad \sf \dashrightarrow \:a \approx13.85 \: \: m {}^{2} [/tex]
problem 6[tex]\qquad \sf \dashrightarrow \:r = 1.3 \: mm[/tex]
[tex]\qquad \sf \dashrightarrow \:c = 2 \times 3.14 \times 1.3[/tex]
[tex]\qquad \sf \dashrightarrow \:c = 8.16 \: \: mm[/tex]
What is the solution of the inequality 9 - x^2<0?
Answer:
[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]
Step-by-step explanation:
Given:
[tex]9-x^2 < \:0[/tex]
Solve:
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]9-x^2-9 < 0-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-x^2 < -9[/tex]
[tex]Multiply\:both\:sides\:by\:-1\:[/tex]
[tex]\left(-x^2\right)\left(-1\right) > \left(-9\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x^2 > 9[/tex]
[tex]\mathrm{For\:}u^n\: > \:a\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\: < \:-\sqrt[n]{a}\:or\:u\: > \:\sqrt[n]{a}[/tex]
[tex]x < -\sqrt{9}\quad \mathrm{or}\quad \:x > \sqrt{9}[/tex]
[tex]\sqrt{9}=3[/tex]
[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]
~lenvy~