The mean is 80, the standard deviation is 5. What number is 2.5 standard deviations above the mean? It is a normal distribtion.
Answer:
So the final answers would be (90 > z)-P(80<z) = .47725 or 47.725%
Step-by-step explanation:
What two numbers have a product of -22 and a sum of -9?
The fourth term in an arithmetic sequence is 18 and the seventh term is 39. If the first term is a1 , which is an equation for the nth term of this sequence?
Answer:
aₙ = 7n - 10Step-by-step explanation:
The nth term: [tex]a_n=a_1+d(n-1)[/tex]
So:
a₄ = a₁ + 3d
18 = a₁ + 3d ⇒ 3d = 18 - a₁
a₇ = a₁ + 6d
39 = a₁ + 6d
39 = a₁ + 2(18 - a₁)
39 = a₁ + 36 - 2a₁
39 = 36 - a₁
a₁ = -3
3d = 18 - (-3)
3d = 21
d = 7
So the nth term:
[tex]a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10[/tex]
can sombody help me plz i got 5 min left
Answer:
$46.25 ÷ $9
Step-by-step explanation:
The areas of two similar squares are 16m2 and 49m2 what is the scale factor of their side lengths
Given:
The areas of two similar squares are 16m² and 49m².
To find:
The scale factor of their side lengths.
Solution:
We know that the ratio of the areas of the similar squares is proportional to the ratio of square of there sides.
[tex]\dfrac{\text{Area of first square}}{\text{Area of second square}}=\dfrac{(\text{Side length of first square})^2}{(\text{Side length of second square})^2}[/tex]
[tex]\dfrac{16\ m^2}{49\ m^2}=\dfrac{s_1^2}{s_2^2}[/tex]
[tex]\dfrac{4^2}{7^2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]
[tex]\left(\dfrac{4}{7}\right)^2=\left(\dfrac{s_1}{s_2}\right)^2[/tex]
Taking square root on both sides, we get
[tex]\dfrac{4}{7}=\dfrac{s_1}{s_2}[/tex]
[tex]\dfrac{s_1}{s_2}=\dfrac{4}{7}[/tex]
Now, the scale factor is the ratio of side length of second square to the side length of first square.
[tex]k=\dfrac{s_2}{s_1}[/tex]
[tex]k=\dfrac{7}{4}[/tex]
Therefore, the scale factor of their side lengths is [tex]k=\dfrac{7}{4}[/tex].
Answer: 4/7 is the right answer on Acellus
Step-by-step explanation:
√131 is between 11 and 12? true or false
Answer:
True
Step-by-step explanation:
[tex]11^2=121\\12^2=144\\121<131<144[/tex]
Hence, [tex]\sqrt{131}[/tex] is in between 11 and 12
Please help!! I'll give brianlist!!! which points are reflections of each other across both access?
Answer:
(5,-6) and (-5,-6) is the correct answer
Step-by-step explanation:
Eliminate incorrect answers
(-2,8)and (2,-8) are in the opposite direction not mirroring each other
(-7,-1) and (-7,1) are on the same x axis but to close to the y axis not mirroring
(4,-3) and (-3,4) is completely off and not mirroring
* Remember the first number in the parentheses moved on the x axis then the y
Hope this helps =)
plz mark Brainly
plz help plz help its not a lot
Answer:
Option A) 7 inches
Step-by-step explanation:
t=0
so d= -0.5(0)+7
so d= 7 inches
hope it helps
have a great day!!
Solve x2 + 8x = 24.
Answer:
-10.3 and 2.3
Step-by-step explanation:
use quadratic formula:
-8 ± √8²-4(-24) ÷ 2
= -8 ±√64+96 ÷ 2
= -8 ± √160 ÷ 2
= -8 + 4√10 / 2 and
-8 - 4√10 / 2
which is the same as -4 + 2√10 and -4 + 2√10
which is the same as -10.3 and 2.3
a parallelogram has one angle that measures 40 what are the measures of the other three angles in the parallelogram
Answer:
40°, 140°, and 140°
Step-by-step explanation:
last question (arc length and area) thanks!!!
Answer:
[tex]m\angle ABC=60\textdegree[/tex]
Step-by-step explanation:
[tex]m\angle ABC=360-90-90-m\angle AOC\\=180-120\\=60\textdegree[/tex]
After eight games the team has won two games lost five and tied one if there season is 24 games how many games will they win at this rate
Answer:
Since the games in total add up to 8, we see that 8 is a factor of 24. It goes in 3 times. Therefore, we have to multiply everything by 3 to get the answer out of 24. There will be 6 wins, 15 losses and 3 tie. That adds up to 24.
PLEASE HELP ME I WILL BRAINLIST YOU
Answer:
Pentagonal Prism
Step-by-step explanation:
It has 5 sides and a pentagon has 5 sides
Answer:
pentagonal prism
Step-by-step explanation
a pentagon is a 5 sided shape, and a prism just gives it a height, so the answer is 3
brainliest please :) its fine if you don't give me brainliest tho :p
Calculate the side lengths a and b to two decimal places.
O A. a = 2.55 and b = 2.43
O B. a = 15.09 and b = 15.81
O c. a = 2.43 and b = 2.55
O D. a = 15.09 and b = 16.75
E. a = 15.81 and b = 15..09
Answer:
b
Step-by-step explanation:
What is the surface area of the pyramid? 3 6
Answer:
3 is the answer bc it make more sense
The diameter of a circle is 10 m. Find its area to the nearest tenth.
Answer:
78.5
Step-by-step explanation:
A=pi x r^2
A= 3.14 x 5 x 5
A=78.5
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Answer:
converge
Step-by-step explanation:
The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.
Answer:
Converge
Step-by-step explanation:
The value of r in this infinite series is 2/3.
If the absolute value of r is less than 1, then the infinite series converges.
Since 2/3 is less than 1, the series must converge.
What is the percent change? Original cost is $15 and the new cost is $70.
Answer:
467 percent
Step-by-step explanation:
Answer:
366.67% increase
Step-by-step explanation:
Which algebraic expressions are binomials? Check all that apply. xy x2y – 3x 6y2 – y y2 + 4xy – x2 +
Answer:
4xy are binomials because it only had one term
Answer:
the answers are B, C, E
Step-by-step explanation:
x2y – 3x
6y2 – y
4xy – two-fifths
Can someone please help me?
Answer:
A=90
B=18
C=111
D=39
E=35
Step-by-step explanation:
pls help me answer this and if you don't know, pls don't answer.
Answer:
Step-by-step explanation:
I’m really struggling here :,D
Answer:
-2
Step-by-step explanation:
1. 28, 48 and 72 are three
number
c) Determine H.C Fof the
three numbers by using
prime factors.
S
#he
Answer:
4.
Step-by-step explanation:
28 = 2*2*7
48 = 2*2*2*2*3
72= 2*2*2*3*3
So the HCF = 2*2 = 4.
Answer:
hcf stand's for
highest common factor
and must be prime numbers
so the answers 3
HALP ME PLZZ ASAP NO LINKS
Answer:
Step-by-step explanation:
Can someone plz help with this problem??
Answer:
17,2
Step-by-step explanation:
X = 21×cos35° = 21 × 0,82 = 17,20
Divide €132 in the ratio 7:4
Answer:92.4
Step-by-step explanation:
4x+7x=132
10x=132
x=132/10
x=13.2
4x=4×13.2
=52.8
5x=7×13.2
=92.4
Which of the following is always true about lines of symmetry?
A line of symmetry divides a shape into two equal parts.
A line of symmetry is a vertical line through the middle of a figure.
A figure can have only one line of symmetry.
A line of symmetry goes through opposite vertices of a figure.
PLEASE HELP!!!!
Robert is baking desserts for a picnic. He needs to make at least 20 servings of dessert for the
event. For every batch of brownies he bakes, he will get 8 servings, and every pie will
yield 14 servings.
Answer:
x*8 + y*14 ≥ 20
Step-by-step explanation:
We know that:
A batch of brownies makes 8 servings.
A pie makes 14 servings.
He wants to make, at least, 20 servings.
Then if he makes x batches of brownies, he will get x times 8 servings.
If he makes y pies, he will get y times 14 servings.
Adding that, he will get a total of:
x*8 + y*14 servings
And because he wants to make at least 20 servings (he can make 20 or more)
The inequality will be:
x*8 + y*14 ≥ 20
Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
Any help, please!
I dont understand