30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.
Using the Central Limit Theorem, it is found that the correct option is:
B) The random sample of 15 meerkats should be close to 5.2 years-old.The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].
The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.
For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475
Answer:
its b
Step-by-step explanation:
on usatp
2x+5(x+1) = -8;
Can someone help me solve this problem step by step please?
Answer:
-13/7
Step-by-step explanation:
2x+5(x+1)=-8
2x+5x+5=-8
7x+5=-8
7x=-8-5
7x=-13
7x/7=-13/7
x=-13/7
Answer:
x = -13/7
Step-by-step explanation:
2x+5(x+1) = -8
2x+5x+5 = -8
7x+5 = -8
7x = -8-5
7x = -13
x = -13/7
Express the quotient as a fraction in simplest form. -5-7 divided by 6/7
Answer:
a) -5/6
Step-by-step explanation:
[tex] - \frac{5}{7} \div \frac{6}{7} [/tex]
keep, change, flip
[tex] - \frac{5}{7} \times \frac{7}{6} [/tex]
[tex] - \frac{35}{42} [/tex]
simplify
35 ÷7=5
42÷7= 6
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?
Answer:
According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.
Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.
Thus, the measure of angle C is 95 degrees.
Use the number line to model the problem
Answer:
Basically all you need to do is get your pencil and jump across the numbers from -4 to -5.
Hope that explained it lol.
Answer:
Put a line from -4 to -5. On the line put -1
Step-by-step explanation:
+(-1)
___________
-5 -4
Which of the following expressions is equivalent to.
Answer:
the answer is this hope it helps
Write 56xy^3 as a prime factorization.
Show all your work.
Answer:53
Step-by-step explanation:56-3 =53
a) write 63 as the product of prime numbers.
write the prime numbers is ascending order.
b) work out the highest common factor of 63 and 105.
63 as the product of prime numbers is 3 x 3 x 7.
The highest common factor of 63 and 105 is 21.
Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.
Factors of 63 are: 1, 3, 7, 9, 21, and 63
Prime numbers that are products of 63 = 3 x 3 x 7
The factor of a number is a number that can divide another number without leaving any remainder.
Factors of 63 = 1, 3, 7, 9, 21, and 63 Factors of 105 = 1, 3, 5, 7, 15, 21, 35 and 105.Common factors = 1, 3, 7, 21 Highest common factor = 21To learn more about prime numbers, please check: https://brainly.com/question/4184435
Find the equation of the line. Use exact numbers. y =__ x +__
EXPLAIN:
Ex: the line is: y = ax + b
The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )
So: [tex]\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.[/tex]
The line: y = x - 5 = (1)x + (-5)
ANSWER: y = (1)x + (-5)
ok done. Thank to me :>
1. Classify the following polynomials as monomial, binomial trinomial and polynomial. 1) x2 – xy + y + 4
it's polynomial ✨✨✨✨✨✨✨
Answer: polynomial
Step-by-step explanation: I'm not that great at math tell me if this is correct.
Sarah has only $180 to spend on her birthday party. If she had to pay $100 for the room and each guest cost $6
for food, how many people can she invite without going over her budget?
Answer:
She can invite 13 people.
Step-by-step explanation:
Because Sarah has to pay $100 for the room, we can subtract.
$180-$100=$80.
Now that she has $80 left, we can see how many times $6 can go into $80.
$6x14=84.
This number is four more than $80, so Sarah can not invite 14 people.
But, if we do $6x13, we get $78.
$78 does not past $80 and is really close, Sarah can invite 13 people.
Final Answer: Sarah can invite 13 people without going over her budget.
I hope this helps and have a wonderful day! ;0
Answer:
13
Step-by-step explanation:
180-100 = 80
80 divided by 6 = 13.333
If the velocity of a car is 45 kilometers per hour west how far can it travel 0.5 hours?
Answer:
It dosn't matter which direction the car is going, it's going 45 km/hr thus it's going 45/2 in 0.5 hr = 22.5 km
Step-by-step explanation:
A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?
Answer:
Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]
Step-by-step explanation:
By the Pythagorean Theorem:
evaluate the expression for the given value of x.
0.8x+5.4 for x= -3
Answer:
3.0
Step-by-step explanation:
0.8 times -3 = -2.4
5.4-2.4=3.0
So the answer is 3.0
Write the equation of a line that is parallel towards y = -6x +5
Answer:
y=-6x-4
Step-by-step explanation:
Any linear equation that has the slope of -6 is parallel to y=-6x+5
help we don’t know the answer
If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?
Given that
log (x+y)/5 =( 1/2) {log x+logy}
We know that
log a+ log b = log ab
⇛log (x+y)/5 =( 1/2) log(xy)
We know that log a^m = m log a
⇛log (x+y)/5 = log (xy)^1/2
⇛log (x+y)/5 = log√(xy)
⇛(x+y)/5 = √(xy)
On squaring both sides then
⇛{ (x+y)/5}^2 = {√(xy)}^2
⇛(x+y)^2/5^2 = xy
⇛(x^2+y^2+2xy)/25 = xy
⇛x^2+y^2+2xy = 25xy
⇛x^2+y^2 = 25xy-2xy
⇛x^2+y^2 = 23xy
⇛( x^2+y^2)/xy = 23
⇛(x^2/xy) +(y^2/xy) = 23
⇛{(x×x)/xy} +{(y×y)/xy} = 23
⇛(x/y)+(y/x) = 23
Therefore, (x/y)+(y/x) = 23
Hence, the value of (x/y)+(y/x) is 23.
What is the area of a room that is 3 3/4 yards long by 3 1/3 yards wide?
Answer:
Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards
brainliest please?<3
Step-by-step explanation:
To find the area, first convert the mixed numbers to improper form:
3 3/4 = 15/4 & 3 1/3 = 10/3
Now multiply them together:
15/4 x 10/3
= 150/12
Answer: 12.5
Step-by-step explanation:
3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.
15 10 150
==x == = ==== 150 divided by 12 is 12.5
4 3 12
How do I find the function of a graph given?
Answer:
Explanation
Step-by-step explanation:
Well, to find a function of a given graph, you would need m, its slope, and b, its y-intercept. After you've done that, place the function in the format of f(x) or y = mx + b.
Find the slope using the formula y2-y1/x2-x1 or rise/run
Find the y-intercept by looking for the point that touched with the y-axis.
Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.
We have to determineWhich expression finds the measure of an angle that is coterminal with a 45° angle?
According to the question,Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.
The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
A coterminal with 45° is 45°+k°360° with k as an integer.Then,
The coterminal angle with 45°,
When k = 0
Then,
[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]
When k = 1
Then,
[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]
When k = -1
Then,
[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]
Hence, The measure of an angle that is coterminal with a 45A°+360A°.
For more details about the Coterminal angle refer to the link given below.
https://brainly.com/question/12378421
A student earned a grade of 82% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
Work Shown:
82% of 20 = 0.82*20 = 16.4 which rounds to 16
will mark brainleist
Answer:
x=5.834729, rounded down to 5.83
Write the equation of the line with a slope of 2 and passes throug the point (4, 3).
Answer can be in either slope-intercept
form or point-slope
form
Answer:
y=2x-5
Step-by-step explanation:
Answer:
y=2x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-3=2(x-4)
y-3=2x-8
y=2x-8+3
y=2x-5
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
If you're satisfied with the answer, then please mark me as the Brainliest. Thank you.
The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20\% discount on each pair of shoes, which were originally priced $72.50. A 6.5\% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's web site for $54.75. A 9\% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?
(please show ur work)
Answer:
$46.8
Step-by-step explanation:
Price for Super Sports:
$72.5*0.8=$58 (20% discount so price is 80% of original price)
$58+$58*0.065=$61.77 (6.5% sales tax added after discounted price)
$61.77*12=$741.24
Price for Double Dribble:
$54.75+$54.75*0.09=$59.6775≈$59.68 (9% processing fee added to cost; round to 2 decimal places)
$59.68+$5.99=$65.67 (shipping fee)
$65.67*12=$788.04
Difference in price:
$788.04-$741.24=$46.8
If you have questions please ask in the comments; also please give this answer brainliest if you found it useful!
Simplify to create an equivalent expression.
2-4(5p+1)}2−4(5p+1)
Answer:
-8-60p
Step-by-step explanation:
Step-by-step explanation:
there are some things missing or have been mistyped.
I assume the following basic expression :
(2 - 4(5p + 1))×2 - 4(5p + 1)
4 - 8(5p + 1) - 20p - 4
-8(5p + 1) - 20p
-40p - 8 - 20p
-60p - 8
3. A rock is lying on a rock ledge that is 3 m high. The rock as 120 J of potential energy.
What is the mass of the rock?
Answer:
For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.
Step-by-step explanation:
Find 3 other points for this equation ( please help!! ) not bots.
Answer:
(0,6), (1,7), (2,8)
Step-by-step explanation:
Please help question in pic
Answer:
O = (1,-1)
N = (1,-2)
M = (3,-2)
L = (3,-1)
Step-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
what is 3√-1 square root
Answer:
3
Step-by-step explanation:
3√-1 = √9*-1= √-9 = 3 bcuase its always positive