Answer:
7
Step-by-step explanation:
σ = 4 ; μ =?
8.52 to the left of X
.
P(X < 8.52) = 64.8%
P(X < 8.52) = 0.648
Using the Z relation :
(x - μ) / σ
P(Z < (8.52 - μ) / 4)) = 0.648
The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)
Z = 8.52 - μ / 4
0.38 = 8.52 - μ / 4
0.38 * 4 = 8.52 - μ
1.52 = 8.52 - μ
μ = 8.52 - 1.52
μ = 7
This diagram shows
Parallel Lines
Perpendicular Lines
Supplementary Angles
Complementary Angles
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
Can someone please help! I'll do anything you want!
Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No
Answer:
No
Step-by-step explanation:
Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.
"A triangle is valid if sum of its two sides is greater than the third side."
Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)
Answer: A notebook cost $2.25
A pen cost $3.50
Step-by-step explanation:
Let the price of notebook be n
Let the price of pens be p.
Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:
4n + 2p = 16 ..... equation i
Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:
5n + p = 14.75 ..... equation ii
Combining both equations will give us:
4n + 2p = 16 ..... i
5n + p = 14.75 ...... ii
Multiply equation i by 1
Multiply equation ii by 2
4n + 2p = 16 ....... iii
10n + 2p = 29.50 ...... iv
Subtract equation iii from iv
6n = 13.50
n = 13.50/6
n = 2.25
A notebook cost $2.25
Since 4n + 2p = 16 from equation I
4n + 2p = 16
4(2.25) + 2p = 16
9 + 2p = 16
2p = 16 - 9
2p = 7
p = 7/2
p = 3.5
A pen cost $3.50
If you multiply 2 xr you will get the ....?
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
8. Find the area of the triangle. (1 point) 16 ft 62 ft Not drawn to scale.
Answer:
Hello! Answer: 496
Step-by-step explanation:
When finding area for triangles we have to do base x height then divide by 2 so
62 x 16 = 992
992 ÷ 2 = 496
So 496 is our answer!
Answer:
A - 496
Step-by-step explanation:
formula for area of a triangle
[tex]a = \frac{bh}{2} [/tex]
where b = base length and h = height
The triangle shown has a base length of 62 ft and a height of 16 ft
That being said we plug in the given values into the formula
[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]
Hence the area of the triangle is 496 square feet
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean
What is the mean for the data set below?
14
54
54
35
25
34
21
23
A 25.1
B 29.5
C 32.5
D 40.0
O
С
D
Answer:
c) 32.5
Step-by-step explanation:
the formula for the mean of a data set is-
average= sum/count
14+54+54+35+25+34+21+23=260
so now we have our sum- 260
for the count, we just have to count how many numbers there are-
8
average= sum/count
=260/8
=32.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
What do rhombuses always have
Answer:
A, B, and D
Step-by-step explanation:
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes
A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?
Answer:
[tex]\frac{5}{78}[/tex]
Step-by-step explanation:
First, find the probability that the first card is gray.
Since there are 13 cards in total, and 2 are gray, the probability will be 2/13
Next, find the probability that the second card is pink.
Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.
Now, to find the probability that these are drawn in order, multiply the probabilities together:
[tex]\frac{2}{13}[/tex] x [tex]\frac{5}{12}[/tex]
= [tex]\frac{5}{78}[/tex]
So, the probability is [tex]\frac{5}{78}[/tex]
someone please explain to me how this is done please
Answer:
10√6 ; √5/6 ; 42√14
Step-by-step explanation:
1) - factorise 240
240/ 2 = 120
120/2 = 60
60/2 = 30
30/2 = 15
15/3 = 5
5/5 = 1
240 = 2^4 * 3 * 5
- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex] by dividing the index of the radius and the exponent by 2
[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]
- factorise 12
12/2 =.6
6/2 = 3
3/3 = 1
12 = 2^2 * 3
- simplify [tex]\sqrt{2^2 *3}[/tex]
[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]
- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]
number : number = 4/2 = 2
square : square = √15 / √3 = √5
[tex]2\sqrt{5}[/tex]
- multiply √30 with 2√5
number x number = 2x1 = 2
square x square = √30 x √5 = √150
2√150
- factorize 150
150/ 2 = 75
75/3 = 25
25/5 = 5
5/5 = 1
150 = 5^2 x 2 x 3
- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]
[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]
- multiply 2 and 5
10√6
2) remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]
- rewrite the expression in this way
[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]
- solve the squares of the denominators
√5/3 + √5/12 -√5/4
- rewrite the fraction with the same denominator = 12
(4√5 + √5 - 3√5)/12
- simplify the numerators by sum the numbers
2√5/12
- divide 2 and 12
√5/6
3)
- multiply 3√2 and √14
number x number = 3 x 1 = 3
square x square = √2 x √14 = √28
3√28
- factorise 28
28 = 2^2 x 7
- simplify [tex]\sqrt{2^2 *7}[/tex]
[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]
- multiply 3 and 2
6√7
- factorise 98
98/2 = 49
49/7 = 7
7/7 = 1
98 = 7^2 * 2
- simplify [tex]\sqrt{7^2 * 2}[/tex]
[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]
- multiply 6√7 and 7√2
number x number = 42
square x square = √14
42√14
A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many squares are in the whole rectangle?
Answer:
There are 24 squares in the entire rectangle
Step-by-step explanation:
Trom the problem, we are given that one row covers 1/8 of the entire rectangle.
We are also told that this one row, contains three squares.
In other words, what this means is that three squares cover 1/8 of the entire rectangle.
The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.
In fraction, we can represent a whole using 1/1
We can set up a simple relation to this effect.
3 squares give 1/8 of the rectangle
x squares give 1/1 of the rectangle
cross multiplying, we have
x = 3 ÷(1/8) = 24
Therefore, there are 24 squares in the entire rectangle
Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?
A. doubling the number and then decreasing the result by 25%
B. increasing the number by 50%
C. multiplying the number by 1.25
D. multiplying the number by 2.5
Answer: multiplying the number by 2.5
Your answer
Step-by-step explanation:
Jay took a number n and increased it by 25%. This will be:
= n + (25% × n)
= n + (0.25 × n)
= n + 0.25n
= 1.25n
Then, he doubled the resulting product. This will now be:
= 2 × 1.25n
= 2.50n
Therefore, the equivalent will be option D "multiplying the number by 2.5".
Tommy rides his bike 27 miles in 3 hours. If he rides at a constant speed, select the answer below that is equivalent ratio to the speed he rides. pls help ASAP
what is 10 +10+10+10 +20'
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%
Answer:
I think its B
Step-by-step explanation:
ayo can yall help me plzzz
Answer:
D, Impossible
Step-by-step explanation:
Answer:impossible
Step-by-step explanation:
there aren’t any green folders
which sequence has nth term 2n+5
a)7,21,35,
b)7,9,11,13
c)1,4,9,16
Answer:
The answer is b.Look below for details.
Step-by-step explanation:
Question no 1. The sequence has the common difference of 14.
t1=7
t2=21
t3=35
We have
tn=a+(n-1)d
=7+(n-1)14
=7+14n-14
=14n-7(Its not our answer)
Lets try b.
The common difference is 2 in this sequence.
t1=7
t2=9
t3=11
t4=13
We have
tn=7+(n-1)2
=7+2n-2
=2n+5(Its is our answer.) Got it.
Someone please Help!!!!!
Answer:
I believe that the slant height is 15.3 because of pythagorean theorem.
This means that the surface area is 740.2
Step-by-step explanation:
Which of the following expressions will find the sum interior angles of a polygon with 14 sides?
A.) 14(180)-2
B.) 180(14-2)
C.) 180(14)-180
D.) 180(14)
Answer:
B.
Step-by-step explanation:
The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).
What is the Sum of the Interior Angles of a Polygon?The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.
For a 14-sided polygon, the sum of the interior angles would be:
180(14 - 2).
Learn more about sum of inetrior angles of a polygon on:
https://brainly.com/question/24966296
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Help please ! I'm soo confused
Answer:
(1/7)^(-1)<(1/7)^(-2)
7(-1)<(1/7)^(-1)
7^-2<7^-1
Step-by-step explanation:
U can look at the negative exponent that negative sign as the divide sign over 1
7^(-1)means 1/7
7^(-2) means 1/7^(2)=1/49
(1/7)^(-1)=7
(1/7)^(-2)=49
I need help I will give brainliest I promise
Answer:
1/4 is the answer
Step-by-step explanation:
First, we see that the total students is 20 & the students who got 6 or 7 is 5.
5/20 = 1/4
1/4 = 25%
What is the value of y in the solution to the system of equations?
3x + 4y = 30
3x + 5y = 33
Answer:
y = 3
Step-by-step explanation:
3x + 5y = 33 ---------------(I)
3x + 4y = 30 ----------------(II) {subtract equation (II) from (I)}
- - = -
1y = 3
y = 3
What is the radius when the circumference is 314
Answer:
Radius is 50 cm.
Step-by-step explanation:
Find the angle measures.
if a/b=2 what would 4b/a be
Answer:
2 i think
Step-by-step explanation:
if a/b is 2 then it means a/b is equivalent to 2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2
Answer:
2
Step-by-step explanation:
We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.
add these values into the equation
4(1)/2
4/2
2
thisss plss LOL again> (no link) if u do die.
Add a+b+c=p for the triangle.
24+26+10=60, Then add this to the semi-circles perimeter.
p=r(pi+2)
r=d/2
p=13(3.14+2)
p=13(5.14)
p=66.82
Add 66.82+60
66.82+60=126.82
Answer: 126.82
Monique begins a running program to train for a marathon. She starts by running 1 mile the first week and tripling the number of miles each week. The number of miles Monique will run can be modeled by the sequence An=1(3)n−1, where n is the number of weeks since she began her program. Use the drop-down menus below to complete the statements about the miles Monique runs weekly.
Answer: 1st one is geometric I think not fully sure but the second is 3 times
Step-by-step explanation: I was doing it
Answer:
geometric, 3 times
Step-by-step explanation:
imagine math