Answer: Because all individuals in the sample have the same job, so the sample is biased.
Step-by-step explanation:
Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.
Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists
A lot of them work in fast food, others may be lawyers, others may be freelancers.
We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.
If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).
How many zeroes are at the end of 10! = 1∙2 ∙ … ∙ 9∙10?
Answer:
2.
Step-by-step explanation:
To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.
In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.
I hope this helps!
Need help please ???
Answer:
i believe the answer is 0.75
Step-by-step explanation:
i used siri
I will give you brainliest!!!!! Which equation models the total profit y, based on the number of T-shirts sold x?
Answer:
B. y-25=5(x-20)
How do I find the area of this figure?
Answer:
140 units^2
Step-by-step explanation:
Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.
A = bh
A=14(10)
A=140units^2
25 Uma conta de gás, no valor de R$ 48,00, com
vencimento para 13 de abril, trazia a seguinte
informação: "Se a conta for paga após o venci-
mento, incidirão sobre o seu valor multa de 2%
e juros de 0,033% ao dia, que serão incluídos na
conta futura".
Qual será o acréscimo a ser pago sobre o valor da
próxima conta por um consumidor que quitou o
débito em 17 de abril? E se ele tivesse atrasado
o dobro do número de dias para
Answer:
R$49.02
R$49.09
Step-by-step explanation:
Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:
[tex]V = 1.02*48\\V=R\$48.96[/tex]
O valor a ser pago n dias após o dia 13 de abril é dado por:
[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]
No dia 17 de abril, n =4 e o valor a ser pago é:
[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]
Caso n =8, o valor a ser pago seria:
[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]
What is the base of a triangle with a height of 14 cm and an area of 42 square cm?
Answer:
[tex]6cm[/tex]
Step-by-step explanation:
[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]
hope this helps
Answer:
6
Step-by-step explanation:
Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial -16t^2+50t+3, where t is the time in seconds. How high is the ball after 3 seconds?
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
[tex]h(t) = -16t^2+50t+3[/tex]
where t is the time in seconds.
After 3 seconds, t = 3:
[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]
The height of the ball after 3 seconds is 9 feet.
What is the percent change if a shirt that cost $36 goes on sale for $24? Round your answer to the nearest tenth. Please solve in the "show your work box" below. You may use the pen tool, or you can use the text tool and type your answer. Then select the correct answer. You MUST show work to get full credit.
Answer:
33.3%
Step-by-step explanation:
Take the original price and subtract the new price
36-24=12
Divide this by the original price
12/36 = 1/3 = .33333repeating
Multiply by 100 % to get to percent form
.3333 repeating * 100%
33.3333%
Round to the nearest tenth
33.3%
10 pts!
How can you determine if two triangles have a scale factor?
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!
Answer:
i dont know but here is some help
Step-by-step explanation:
Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .
Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. a. 4186.667 cu. in. b. 523.333 cu. in. c. 104.667 cu. in. d. 294.375 cu. in. Please select the best answer from the choices
Volume of a Sphere Formula:
[tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
Diameter/Radius Relationship:
[tex]\displaystyle r = \frac{d}{2}[/tex]
ApplicationStep 1: Define
Let us clearly sort out what information this specific problem gives us:
We are given that the shape is a sphere.We are also given that the diameter of the sphere is equal to 10 inches.Finally, we are asked to find the volume of the sphere.We can consolidate this into mathematical symbols:
[tex]\displaystyle d = 10 \ \text{in}[/tex][tex]\displaystyle V_{\text{Sphere}} = \ ?[/tex]Step 2: WorkGiven what we know, we now need to find the volume of the sphere. With knowledge implied, found under the General Formulas and Concepts section above, we can first solve for the radius [tex]\displaystyle r[/tex]:
[tex]\displaystyle\begin{aligned}r & = \frac{d}{2} \\& = \frac{10 \ \text{in}}{2} \\& = \boxed{5 \ \text{in}} \\\end{aligned}[/tex]
∴ the radius of the sphere is equal to 5 inches.
Now that we have our radius, we can substitute this value into our volume of a sphere formula and evaluate:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \boxed{ \frac{500}{3} \pi \ \text{in}^3 } \\\end{aligned}[/tex]
∴ the volume of the sphere is equal to [tex]\boxed{ \frac{500}{3} \pi \ \text{in}^3 }[/tex].
To estimate our answer, we can simply substitute the value of [tex]\displaystyle \pi[/tex] for 3.14, as defined by the problem, and evaluate once more:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \frac{500}{3} \pi \ \text{in}^3 \\& = \frac{500}{3} (3.14) \ \text{in}^3 \\& \approx \boxed{ 523.333 \ \text{in}^3 }\end{aligned}[/tex]
∴ the volume of the sphere is approximately equal to [tex]\displaystyle \boxed{ 523.333 \ \text{in}^3 }[/tex].
Answer∴ the best answer choice that corresponds to our gathered result is answer choice b. 523.333 cu. in.
___
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___
Topic: Geometry
Unit: Volume
simplify this expression
Answer:
option 4
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
Given
(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]
What is the perimeter of the triangle?
Answer:
36 units
Step-by-step explanation:
The short leg is 9 units and the long one is 12 units.
Use pythagorean theorem to find the hypotenuse, a² + b² = c²
Plug in the numbers: 9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = c
15 = c
Find perimeter by adding all 3 sides: 9 + 12 + 15 = 36 units.
work out the circumference of the circle when the radius is 6mm and give the answer in terms of pie.
_______________________________
Hey!!
Solution,
Radius(r)= 6 mm
Circumference of circle=?
Now,
Circumference of circle=2 pie r
=2*pi*6
=12 pie
So the answer is 12 pie.
Hope it helps...
Good luck on your assignment
______________________________
The circumference of the circle is 12[tex]\pi[/tex] mm.
What is circumference of circle ?
The boundary of a circle, i.e. the length of the full arc of a circle is called circumference of circle.
What is the formula of circumference of circle ?Let, radius of the circle be r
Then, Circumference of circle = [tex]2\pi r[/tex] unit
What is the value of required circumference ?Given, The radius is 6 mm
∴ Circumference of the circle = [tex]2\pi r[/tex]
= ([tex]2\pi[/tex]× 6) mm
= 12[tex]\pi[/tex] mm
Hence, Circumference of the circle = 12[tex]\pi[/tex] mm
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Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?
Answer:12-9=3
Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9
Which of the following could be used as an example of a mass of one kilogram?
A. a grocery sack of apples
B. 10 paperclips
C. a soda cup of water
D. a filled suitcase
Answer:
i would think C
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brianliest !!!!!!!!!!
Answer:
The answer is No
Step-by-step explanation:
None of these match eachother or make any sense
Two numbers add to 200. The first is 20 less than the second. What are the numbers?
Answer:
Step-by-step explanation:
Let's call the first number x.
We can write an equation representing the problem using x:
x+x+20=200 (because the second number is 20 more than the first, or x)
Combine like terms: 2x+20=200
Subtract 20 from each side of the equation: 2x=180
Divide by 2: x=90
The first number is 90, the second number is 110.
Hope this helps!
En un colegio hay dos grupos de 1º ESO con 24 alumnos cada uno.
a) Si las chicas de 1º A son el doble que los chicos, ¿cuántas chicas hay en la clase?
b) Si el número de chicas de 1º B supera en cuatro al de chicos, ¿cuántos chicos
hay?
Answer:
I will answer in English.
In each group, A and B, we have 24 students.
a) The number of girls in A is twice the number of boys in A.
Then, if G is the number of girls and B the number of boys.
G + B = 24
G = 2B
Now we can replace the second equation into the first one:
2B + B = 24
3B = 24
B = 24/3 = 8
G = 24 - 8 = 16
We have 16 girls in class A.
b) In B we have 4 more girls than boys, then:
G = B + 4
G + B = 24
we can replace the first equation into the second one:
B + (B + 4) = 24
2*B = 24 - 4 = 20
B= 20/2 = 10
We have 10 boys in class B:
Two lions, Fluffy and Fireball, met at the zoo. Fluffy's tail is 1 1/3 of a meter long. Fireball's tail is 1 1/4 of a meter long. How much longer is Fluffy's tail than Fireball's tail?
Answer:
11 / 12 m
Step-by-step explanation:
11/3 - 11/4
LCM= 4*3=12
11/3 * 4/4 = 44/12
11/4 * 3/3 = 33/12
11/3 - 11/4
44/12-33/12= 11/12
Answer:
1/12
Step-by-step explanation:
First, simply convert the fractions into an improper fraction.
1 1/3= 4/3
1 1/4= 5/4
Then make conevrt it so the denominator is the same. In this case, the denominatorwould be 12.
4/3= 16/12
5/4= 15/12
Finally subtract regularly.
16/12-15/12= 1/12
Solve the following math problem using Roman numerals.
VII + X =
XIV
XVII
XV
XX
Answer:
XVII
Step-by-step explanation:
VII + X =
V = 5
I = 1
X = 10
5+1+1 + 10 = 17
XVII
make b the subject of the formula a = sqrt(b+6)
Answer:
a = √(b+ 6)
a² = b + 6 (Square both sides)
b = a² - 6 (subtract 6 from both sides)
Answer:
b = a^2 - 6
Step-by-step explanation:
a = sqrt(b+6)
Find the square of both sides
a^2 = (b+6). Open brackets
a^2 = b+6
Subtract 6 from both sides
a^2 - 6 = b + 6 -6
b = a^2 - 6
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.
I need help with this, please. Any advice would be appreciated.
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124
Answer:
125
Step-by-step explanation:
Given f(x) = -x – 4, solve for x when f(x) = 6.
Answer:
-10
Step-by-step explanation:
6=-x-4 plug in 6 for f(x)
10=-x add 4 to both sides in order to cancel out the -4
-10=x multiple each side by -1 to make the x positive
XYZ is a right-angled triangle. Calculate the length of XZ. Give your answer correct to 2 decimal places. PLEASE ANSWER MY QUESTION
Answer:
3.52 m
Step-by-step explanation:
The question is not complete.
Let us assume XY = 1.35 m and YZ = 3.25 m.
If XZ is the longest side of the right-angled triangle (that is the hypotenuse), we can calculate XZ using the Pythagoras theorem.
The Pythagoras theorem state that the square of the hypotenuse side is equal to the sum of the square of the other two sides of the triangle.
That is for Triangle XYZ with XZ as hypotenuse:
XZ² = XY² + YZ²
Substituting:
XZ² = 1.35² + 3.25²
XZ² = 1.8225 + 10.5625
XZ² = 12.385
XZ = √12.385 = 3.5192
XZ = 3.52 m to 2 decimal places
tell whether this has one solution, infinitely many solutions, or no solution. Explain your reasoning. y=2x+7, y=3x-1
Answer:
One solution
Step-by-step explanation:
They have isolated y for you in both equations so you can plug either one into the other.
y = 3x - 1
2x + 7 = 3x - 1
isolate the x
7 = x - 1
x = 8
Go back to the original and plug 8 into x to get y.
y = 2 (8) + 7
y = 16 + 7
y = 23
This means at (8, 23) y = 2x+7 is equal to y = 3x-1. In other words they share a point at (8, 23). This is the only solution because for any other x and y they'd not be equal.
Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct? She is correct, because both solutions satisfy the equation. She is not correct, because she made a sign error. She is not correct, because there are no solutions. She is not correct, because there is only one solution: x = 3.5. help plz
Answer:
She is not correct, because there are no solutions
Step-by-step explanation:
–|2x – 10| – 1 = 2
Add 1 to each side
–|2x – 10| = 3
Divide by -1
|2x – 10| = -3
An absolute value is positive and it would have to equal -3
This cannot happen so there is no solution
Answer:
She is not correct, because there are no solutions
Step-by-step explanation: C
What is 0.25 as a percent?
Answer:
Step-by-step explanation:
25%
the numbers after the decimal formes a percent
0.x
x = x_%
Answer:
25%
Step-by-step explanation:
25 x 100 you move the decimal point two places to the right.
So you end up with 25%
I really hope this helps.
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)
Answer:
Step-by-step explanation:
6--6 = 12
4-1 = 3
12/3 = 4
y=4x
-6-4 = -10
y=4x-10
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line passes through (1, -6) and (4, 6).
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
Now,
(1, -6) = (a, b) and (4, 6) = (c, d)
Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4
m = 4
The equation of a line is given as y = mx + c.
(1, -6) = (x, y)
-6 = 4 x 1 + c
-6 = 4 + c
-6 - 4 = c
c = -10
Now,
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
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