Answer:
(−∞,5)
Step-by-step explanation:
-2x>-10
x<5
Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.
Answer:
0.999999
Step-by-step explanation:
Given that :
Probability of CD being defective, p = 0.1
q = 1 - p = 1 - 0.1 = 0.9
Total number of CD's = number of trials = 80
Probability, that no more than 35 CD's are defective ;
The question satisfied the requirements for a binomial probability problem ;
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Hence,
P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)
Using calculator to save computation time :
P(x ≤ 35) = 0.999999
Fermat fc won 45% of the 60 games they played last season. How many games did fermat fc win last season
Answer:
Fermat FC won 27 games.
Step-by-step explanation:
Convert percentage to fraction
45% --> 45/100
Multiply the fraction by the dividend
45/100 x 60 = 27
Can someone help me out
Which equation should you solve to find x?
12
X х
34°
10
Answer:
B
Step-by-step explanation:
sin(theta) = perpendicular/hypotenuse
sin(34)=x/12
Find the value of the constant m √150 - √12m + √54 = 0
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
Which numbers are solutions to the inequality
-3x-3 is less than or equal to 6? Check all of the boxes that apply.
0-5
0-4
00
O2
04
Step-by-step explanation:
-3x - 3 <= 6
-3x <= 9
x >= -3
your answer options are not clear to me.
so, please pick the one corresponding to all x >= -3.
for any value of x greater or equal to -3 that inequality is true.
The solution of inequality is,
⇒ x ≥ - 3
We have to given that,
An inequality to solve,
⇒ - 3x - 3 ≤ 6
Now, We can simplify the inequality as,
⇒ - 3x - 3 ≤ 6
Add 3 both side,
⇒ - 3x ≤ 6 + 3
⇒ - 3x ≤ 9
Divide by 3;
⇒ - x ≤ 9/3
⇒ - x ≤ 3
⇒ x ≥ - 3
Therefore, The solution of inequality is,
⇒ x ≥ - 3
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ7
. Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world. It rises 450 ft over a horizontal distance of 1,000 ft. a. What is the percentage grade of this hill? Round to the nearest tenth of a percent.
Answer: 50%
Step-by-step explanation:
From the question, we're given the information that Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world and that it rises 450 ft over a horizontal distance of 1,000 ft.
Therefore, the percentage grade of this hill will be calculated as the height over the length and this will be:
= 450/1000 × 100
= 45%
= 0.45
= 0.5 to nearest tenth
= 50% to nearest tenth.
Full working out for this question please.
Answer:
B. 3.2
Step-by-step explanation:
5 companies have 0 computers.
10 companies have 1 computer.
10 companies have 2 computers.
30 companies have 3 computers.
25 companies have 4 computers.
20 companies have 5 computers.
To find mean:
0 x 5 = 0
10 x 1 = 10
10 x 2 = 20
30 x 3 = 90
25 x 4 = 100
20 x 5 = 100
100 + 100 + 90 + 20 + 10 + 0 = 320
20 + 25 + 30 + 10 + 10 + 5 = 100
100 companies were surveyed.
100 companies use 320 computers in total.
320 / 100 = 3.2
Someone please help me!!!!!
Answer:
B is going to be half the intercepted arc
<ABC = 80
<CAB = 55
mARC(AB) = 90
mARC(BC) = 110
Step-by-step explanation:
Find the missing segment in the image below
Answer:
10/2=15/?
Step-by-step explanation:
I can help you to your all question but it need time. I have to write short.
?=3
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 15 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, y, when your friend swims x number of minutes. You swim 55 minutes. How many minutes did your friend swim?
Answer:
y=x+15
Friend swims 40 minutes
Step-by-step explanation:
We re told that you want to swim 15 minutes longer than your friend. In word problems, longer or more always means addition. This means we will add 15 minutes to your friend's swim time (x) so we can figure out how long you swam (y).
This gives us the equation: y=x+15
Part two:
We know that you swam 55 minutes. This means y=55.
55=y=x+15
55=x+15
Now we want to get x alone, or isolate it. We can do this by subtracting 15 from both sides.
55-15=x+15-15
15-15= 0 and 55-15= 40
40=x
Thus your friend swam 40 minutes
(Remember that whatever you do to one side of the equation, you have to do to the other. If you add 2 to the left hand side, you have to add 2 to the right hand side. If you, like we did above, subtract 15 from the right, you have to subtract 15 from the left too)
I’ve been working on this all day please help me solve it
Answer:
a and b) 256
c) 5
d) 400
e) 10
Step-by-step explanation:
160(2) - 16(2)² = 320 - 64 = 256
h(2) = 256
find zeros
0 = -16x²-160x
0 = -16x(x-10)
-16x=0 x = 0
0 = x-10 x = 10
Δx₁,x₂ = 10/2 = 5 max height is at x = 5
find max height using x-value:
-16(5)²+160(5) = -80 + 480 = 400
for e) use second root (x = 10)
If A(x, y) and B(27, 2y) are points on a grid, the coordinates of the midpoint of line
segment AB are:
Answer:
( .5x+13.5, 1.5y)
Step-by-step explanation:
To find the coordinates of the midpoint, add the endpoints and divide by 2
(x+ 27)/2 = x/2 + 13.5
(y+2y)/2 = 3y/2 = 1.5y
A number n times 33, decreased by 135, is 360. A number m times 18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.
Answer:
N = 6.8181. and m= 15
Step-by-step explanation:
33n-135=360
33n = 360-135
33n =225
n = 6.8281.
18m+90=360
18m=360-90
18m =270
m= 15
Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x - axis .
Answer:
(1, 2)
Step-by-step explanation:
Given the equation of the lines x + 2y = 5 and 2x - 3y = -4
First we need to make x the subject of the formulas
For x+2y = 5
x = 5 - 2y ... 1
For 2x - 3y = -4
2x = -4+3y
x = (-4+3y)/2 ... 2
Equate 1 and 2
5 - 2y = (-4+3y)/2
2(5-2y) = -4+3y
10 - 4y = -4+3y
-4 -3y = -4-10
-7y = -14
y = 14/7
y = 2
Substitute y = 2 into 1
x = 5 = 2y
x = 5 - 2(2)
x = 5 - 4
x = 1
Hence the point where the lines meet will be at (1, 2)
In an arithmetic sequence, the first term is 5 and the third term is -5. What is the 20th term?
Answer:
-115
Step-by-step explanation:
Thus with the sequence /question numbers are reducing by 5 .
Which will result in a difference of squares?
a
(negative 7 x + 4)(negative 7 x + 4)
b
(negative 7 x + 4)(7 x minus 4)
c
(negative 7 x + 4)(negative 7 x minus 4)
d
(negative 7 x + 4)(4 minus 7 x)
Answer:
C
Step-by-step explanation:
The correct answer is C, love from Gauthmath
Answer:
the correct answer is option C
Step-by-step explanation:
(negative 7 x + 4)(negative 7 x minus 4)
b) If x² + 11x +k can be factored then the one value of k could be
(pls answer me?)
using the format that
b²=4ac
where b=11 a=1 c=k
(11)²=4×1×k
121=4k
k=30.25
Answer:
10, 18, 24, 28, 30
Step-by-step explanation:
Using the sum product pattern you find all numbers with factors that add up to 11. hope this helps :)
whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000
Answer:
249,842
Step-by-step explanation:
to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power
12^5 + 1 + 9 + 1000
248,832 + 1 + 9 + 1000
248,832 + 1010 = 249,842
go to gauthmath's sub reddit if needing more things ^^
Answer: 249842
Step-by-step explanation: when 12 multiplies it self 5 times
[tex]12^{5}[/tex]
=248832
Addition of 1,9 and 1000
=1 + 9 + 1000
=1010
Sum total = 248832 +1010
=249842
OR
12×12×12×12×12+1+9+1000
=249842
Someone help on these
Problem 5
Start with the 30-60-90 triangle template
If you divide all values in that template by 2, then you'll get the diagram shown below.
Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2
So that diagram shows that cos(30) = sqrt(3)/2
Answer: Choice A) 30 degrees===========================================================
Problem 6
Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive
tan = sin/cos = negative/negative = positive
So tangent is positive in Q3
Answer: Choice C) tangent===========================================================
Problem 7
Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.
So,
cos(170) = cos(-170)
Then we'll find a coterminal angle of -170 which involves adding on 360
-170+360 = 190
The angles -170 and 190 point in the exact same direction
This then means cos(170) = cos(-170) = cos(190)
Or in short, cos(170) = cos(190)
Answer: Choice A) cos(190)A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.
Answer: He invested 8,00,000.
Step-by-step explanation:
R = 5%
A = 840,000
T = 1 year
so
so
I = A-P
so
I = PTR/100
or, A-P = (p*1*5)/100
or, 840,000-P = 5p/100
or, 8,40,00,000-100P = 5p
or, 8,40,00,000 = 105P
so, p = 8,40,8,40,00,000
so, P = 8,00,000
.
8. Tianna and Liam charge for tutoring.
Tianna's charges a base fee of $40, and $10 per hour of tutoring.
Liam charges $20 per hour of tutoring.
a. State an algebraic model for each tutor to represent the relationship between the total charge and
time. Use C to represent total charge ($) and t for time (hours).
.
Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.
Answer:
-11, 3
Step-by-step explanation:
We know one of the roots are
[tex](x+ 4) {}^{2} = 49[/tex]
[tex]x + 4 = - 7[/tex]
[tex]x + 4 = 7[/tex]
[tex]x = - 11[/tex]
or
[tex]x = 3[/tex]
indentify the explicit function for the sequence in the table
Answer:
Option B
a(n) = 8 + (n-1) • 6
Answered by GAUTHMATH
Which of the following is a factor of 6x^3 + 6?
Answer:
x + 1
Step-by-step explanation:
Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)
Which function represents g(x), a refection of f(x)=1/2(3)^x across the y-axis
Answer: g(x) = (1/2)3^-x reflection over y axis yields (-x,y)
sat prep find the value of x in each of the following exercises
Answer:
x=70
Step-by-step explanation:
Since the lines are parallel, we know angle y
60 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel
y=60
The sum of the angles of the triangle are 180
x+y = 50 =180
x+60+50 =180
x+110 = 180
x = 180-110
x = 70
Answer:
x=70 degrees!!!
Step-by-step explanation:
Given that the lines are parallel, we can deduce the measure of angle y. As per the property of alternate interior angles, angle y and the given angle measuring 60° are equal when two lines are parallel. Hence, y = 60°.
Now, considering the triangle, the sum of its interior angles is always 180°. Let's set up an equation to find the measure of angle x:
x + y + 50 = 180
Since we know y = 60°, we can substitute the value and simplify:
x + 60 + 50 = 180
Combining like terms:
x + 110 = 180
To find x, we subtract 110 from both sides:
x = 180 - 110
After calculation, we get:
x = 70°
Therefore, the measure of angle x is 70°.
How to do this???????
Answer:
x=14
Step-by-step explanation:
Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve
2x=x+14
x=14
then you can plug it back in to check if you want
2(14)-9 = 19
14+5 = 19
Answer:
14
Step-by-step explanation:
2x-9=x+5 (being isosceles triange)
2x-x=5+9
x=14
hope u understood
For this exponential function,
what is the output value (y),
when the input value (x) is 3?
y = 10.5x.
(3, [?])
Replace x with 3 and solve:
10 x 5^3
Simplify:
10 x 125 = 1250
Answer: y = 1250
(3 , 1250)
Step-by-step explanation:I got it right on my test.
Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give
Answer:
if Im correct it should be $8.40
Step-by-step explanation:
why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe
