Answer:
I think 7 is the answer
hope it helps
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$432.9
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = $400, σ = $20
P(z > z*) = 0.05
P(z < z*) = 1 - 0.05 = 0.95
z* = 1.645
[tex]z=\frac{x-\mu}{\sigma} \\\\1.645=\frac{x-400}{20}\\\\x-400=32.9\\\\x=432.9[/tex]
Therefore $432.9 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05.
A) 75 and 105
B) 40 and 40
C) 65 and 115
D) 56 and 56
Answer:
d
Step-by-step explanation:
Answer:
D) 56 and 56
Step-by-step explanation:
we can see that in this case, the two given angle are actually alternate angles (see attached for reference)
Which means their values are the same, i.e
-8x+8 = -6x+20 (add 6x to both sides)
-8x + 8 + 6x = 20
-2x + 8 = 20 (subtract 8 from both sides)
-2x = 20 - 8
-2x = 12
x = -6 (substitute this back into either expression )
-8x+8
= -8(-6)+8
= 48+8
= 56 (answer)
We can do a sanity check by substituting x = -6 into the other equation and verify that both angles are indeed the same
-6x+20
= -6(-6)+20
=36+20
= 56 (same as other answer)
Convert the binary number 11011010 to decimal.
Answer:
218
Step-by-step explanation:
im not sure im sorry in advance if im not
128+64+0+16+8+0+2+0=218
An electric company charges each of its customers a monthly fee of $19 to maintain the account and nine cents per kilowatt hour what is an equation that relates the monthly cost c in dollars of power consumed P in kilowatt hours 
Answer:
c = 19 + 0.09P
Step-by-step explanation:
The total cost is the $19 monthly fee plus the amount per hour.
c = 19 + 0.09P
Gina Wilson unit 4 homework 10 parallel and perpendicular lines PLEASE HELP
Answer/Step-by-step Explanation:
To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each.
✍️If the slope of AB and CD are the same value, then they are parallel.✅
✍️If the slope of one is the negative reciprocal of the other, then they are perpendicular.☑️
✍️If their slopes are different, or the slope of one is not the negative reciprocal of the other, then they are neither.❌
1. AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 13}{0 -(-2)} = \frac{-10}{2} = -5 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{10 -(-5)} = \frac{3}{15} = \frac{1}{5} [/tex].
☑️-5 is the negative reciprocal of ⅕, therefore segments AB and CD are perpendicular
2. AB formed by (3, 7) and (-6, 1)
CD formed by (-6, -5) and (0, -1)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{-6 - 3} = \frac{-6}{-9} = \frac{2}{3} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 -(-5)}{0 -(-6)} = \frac{4}{6} = \frac{2}{3} [/tex].
✅Segment AB and CD have the same slope value of ⅔. Therefore, they are parallel.
3. AB formed by (-6, 2) and (-2, 4)
CD formed by (-1, 11) and (5, -7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{-2 -(-6)} = \frac{2}{4} = \frac{1}{2} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 11}{5 -(-1)} = \frac{-18}{6} = -3 [/tex].
❌The slopes of Segments AB and CD are not the same (½ and -3). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
4. AB formed by (-3, 8) and (2, 3)
CD formed by (-4, 6) and (-8, 2)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 8}{2 -(-3)} = \frac{-5}{5} = -1 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{-8 -(-4)} = \frac{-4}{-4} = 1 [/tex].
❌The slopes of Segments AB and CD are not the same (1 and -1). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
5. AB formed by (-8, -1) and (-4, 2)
CD formed by (0, -3) and (12, 6)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 -(-1)}{-4 -(-8)} = \frac{3}{4} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 -(-3)}{12 - 0} = \frac{9}{12} = \frac{3}{4} [/tex].
✅Segment AB and CD have the same slope value of ¾. Therefore, they are parallel.
6. AB formed by (6, 5) and (3, -1)
CD formed by (2, -5) and (-4, 7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 5}{3 - 6} = \frac{-6}{-3} = 2 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-5)}{-4 - 2} = \frac{12}{-6} = -2 [/tex].
❌The slopes of Segments AB and CD are not the same (2 and -2). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
To determine if the given equations are parallel, perpendicular, or neither, ensure both equations are in the slope-intercept form, y = mx + b, where m is the slope.
7. 3x + 2y = 6 and y = -³/2x + 5
Rewrite the first equation in slope-intercept form
3x + 2y = 6
2y = -3x + 6
y = -3x/2 + 6/2
y = -³/2x + 3
The slope of the first equation is -³/2.
The slope of the second equation is -³/2.
✅Both equations have the same slope value of -³/2. Therefore, they are parallel.
8. 3y = 4x + 15 and 9x + 12y = 12
Rewrite both equations in slope-intercept form.
3y = 4x + 15
y = 4x/3 + 15/3
y = ⁴/3x + 5
And
9x + 12y = 12
12y = -9x + 12
y = -9x/12 + 12/12
y = -¾x + 1
The slope of the first equation is ⁴/3.
The slope of the second equation is -¾..
☑️-¾ is the negative reciprocal of ⁴/3. Therefore both AB equations are perpendicular.
9. 8x - 2y = 4 and x + 4y = -12
Rewrite both equations in slope-intercept form.
8x - 2y = 4
-2y = -8x + 4
y = -8x/-2 + 4/-2
y = 4x - 2
And
x + 4y = -12
4y = -x - 12
y = -x/4 - 12/4
y = -¼x - 3
The slope of the first equation is 4.
The slope of the second equation is -¼..
☑️-¼ is the negative reciprocal of 4. Therefore both AB equations are perpendicular.
10. 3x + 2y = 10 and 2x + 3y = -3
Rewrite both equations in slope-intercept form.
3x + 2y = 10
2y = -3x + 10
y = -3x/2 + 10/2
y = -³/2x + 5
And
2x + 3y = -3
3y = -2x - 3
y = -⅔x - 1
The slope of the first equation is -³/2.
The slope of the second equation is -⅔.
❌The slopes of the first equation and second equation are not the same (-³/2 and -⅔). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
11. -4y = -2x + 8 and 3x - 6y = 6
Rewrite both equations in slope-intercept form.
-4y = -2x + 8
y = -2x/-4 + 8/-4
y = ½x - 2
And
3x - 6y = 6
-6y = -3x + 6
y = -3x/-6 + 6/-6
y = ½x - 1
The slope of the first equation is ½.
The slope of the second equation is ½.
✅Both equations have the same slope value of ½. Therefore, they are parallel.
12. y = 8 and x = -1
The first equation is a horizontal line. The slope of am horizontal line is always zero.
The second equation is a vertical line. The slope of a vertical line is undefined.
❌Therefore, they are neither parallel nor perpendicular.
Simplify the following radical:
84
Answer:
±2√21.
Step-by-step explanation:
First, you break 84 down into √4⋅√21.
That is equal to ±2√21.
Hope I helped! Please mark Brainliest!
Answer: 2√21
The answer is 2 radical 21
Step-by-step explanation:
Find the value of y so that y + 3, 4y + 1,
8y - 3 is an arithmetic progression.
A. 2
B. 3
C. 4
D. 5
E. 6
Answer:
A
Step-by-step explanation:
The common difference d in an arithmetic sequence is
a₂ - a₁ = a₃ - a₂ , substitute values
4y + 1 - (y + 3) = 8y - 3 - (4y + 1) ← distribute both sides and simplify
4y + 1 - y - 3 = 8y - 3 - 4y - 1
3y - 2 = 4y - 4 ( subtract 3y from both sides )
- 2 = y - 4 ( add 4 to both sides )
2 = y → A
The snow is now 52 inches deep. If this was a 77%
decrease, what was the initial depth
Answer:
29.3785310734 is the exact answer but you can estimate
Step-by-step explanation:
Let’s say the initial depth was 100%.
A 77% decrease would mean that 77% of the 100% was added to the hole so then it final result would be 177% of the initial hole which is also 52 as given. 177% is the same as 1.77 so we would divide 52 by 1.77 to get that x = 29.3785310734. Still confusing? Just look here:
Multiply and simplify the product. (8 – 5i)2 Select the product. 39 89 39-80i 89-80i
Answer:
39 - 80i
Step-by-step explanation:
(8 - 5i)²
= (8 - 5i)(8 - 5i) (expand using FOIL. See attached for reference)
= (8)(8) + (8)(-5i) + (-5i)(8) + (-5i)(-5i)
= 64 - 40i - 40i + 25i²
= 64 - 80i + 25i² (recall that i² = -1)
= 64 - 80i + 25(-1)
= 64 - 80i - 25
= 39 - 80i
The result is 39 - 80i
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Given expression,
(8 - 5i)²
And the expression is in quadratic form.
We solve the expression using quadratic formula;
(a-b)² = a²-2ab+b²
Now,
(8 - 5i)²
= 64 + 25i² - 80i
= 64 - 25 - 80i
= 39 - 80i
Therefore, the result is 39 - 80i
To learn more about the expression;
brainly.com/question/24242989
#SPJ6
help me solve this please!
Answer:
Step-by-step explanation:
30°-60°-90° k-k√3-2k
y =9√3
x=18
Answer: The value of x is 18 and the value of y is 9√3.
Step-by-step explanation:
1. 30°-60°-90°
2. k-k√3-2k
Find the slope of the line that passes through 1,3 and 3,9
write the slope-intercept form of the equation of each line. identify the slopes y-intercept.
Answer:
1) -3,1
2)-4,4
3)4,4
4)-3,4
5)-2,-4
6)-4,1
7)-1,4
8)3,-3
A researcher wishes to estimate the proportion of all adults who own a cell phone. He takes a random sample of 2000 adults; 1650 of them own a cell phone. The population of interest to the researcher is:______
Answer:
All the adults
Step-by-step explanation:
The question says that the researcher wants to estimate all adults that own a cell phone.
So the population of interest is all the adults.
The statistic is the proportion p^ of the random sample of 2000 adults;
P^ = 1650/2000
= 0.825
The parameter of interest in the question is p, which is the proportion of those adults that own a cell phone.
Round the following numbers to 1 significant figure:
a)0.08351
Answer:
Step-by-step explanation:
0.08
write an equation of the line that passes through the given point is a parallel and B perpendicular to the given line (4,3)
Answer:
I need more information to solve
Step-by-step explanation:
If you voted for joe bieden give me thanks and brainliest
Answer:
I voted JOE BIDEN if you didn't your racist that's all
A brand of light bulbs has a mean lifetime of 1,500 hours and a standard deviation of 150 hours. A sample of 100 light bulbs gave a mean lifetime of 1,400 hours. What is the margin of error for the sample?
Answer:
15
Step-by-step explanation:
Given that:
Mean (μ) = 1500
Standard deviation (σ) = 150
Sample size = 100
Mean (m) = 1400
Margin of Error of sample :
Standard deviation / √sample size
σ / √n
150 / √100
150 / 10
= 15
A holiday decoration involves blue and white lights the ratio of blue lights to white lights is three to two the box the decorations came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.
A) What is the ratio of the number of blue lights to the total number of lights?
B) If the total number of lights is represented by the variable t, create a proportion that you can use to solve for t and solve it.
The ratio of the number of blue lights to total lights is 3:5
The total number of lights is 190
How to solve for the ratioTo solve the problem we need to have the ratios out first.
we have a ratio of blue to white lights as
3 : 2
The ratio of the number of blue lights to white lights would be
114 : x
Such that we would have
3:2 = 114:x
This would give us
[tex]\frac{3}{2 } =\frac{114}{x}[/tex]
We would have to solve for the value of x
To do this we are to cross multiply
3*x = 114*2
3x = 228
x = 228 / 3
= 76
ratio = 3 + 2 = 5
3 : 5
The proportion that can be used to solve for t is given as 114 : 3 = 38
38 x 5 = 190
or 114 + 76 = 190
Read more on ratios and proportions here: https://brainly.com/question/12024093
#SPJ1
need someone’s help with this please!!!
What is the slope of the line?
Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.
If n is the larger of two consecutive numbers, write an expression for the other number.
Given:
Whole numbers are next to each other and they are called consecutive numbers.
To find:
The expression for the other number if the larger of two consecutive numbers is n.
Solution:
According to the given definition, whole numbers are next to each other and they are called consecutive numbers. It means the difference between two consecutive interest is 1.
Larger number - Small number = 1
[tex]n-\text{Smaller number}=1[/tex]
Add smaller number on both sides.
[tex]n=1+\text{Smaller number}[/tex]
Subtract 1 from both sides.
[tex]n-1=\text{Smaller number}[/tex]
Therefore, the expression for the other number is n-1.
ILL GiVE bRAINLIEST FOR GOOD AWNSER!!!
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?
Answer:
it would double to 100n
A C B, X Z Y
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.
Answer:
Yes.
∆CAB ≅ ∆XYZ by AAS Congruence Theorem.
Step-by-step explanation:
There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.
From the diagram, we cam observe the following:
<A ≅ <Y
<B ≅ <Z
side CA ≅ XY
Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.
Estimate the following sum by first rounding each decimal to the nearest hundred. Is the answer 800?
Which of the following sequences of transformations is used to obtain figure T′U′V′W′ from TUVW? (4 points)
a
Reflection about the y-axis followed by a translation left by 2 units
b
Reflection about the x-axis followed by a translation left by 2 units
c
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
d
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Answer: a (reflection over y-axis, followed by a translation of 2 units left)
Step-by-step explanation:
JKL and LMN are shown.
What is m
Answer:
<KJL is 54.
Step-by-step explanation:
K=72
180-72=108
J and L are congruent, so 108/2 since there is 2 angles, 108/2 =54
KGL is 54.
The measure of ∠KJL = 54°
What is triangle?
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are triangle JKL and triangle LMN.
∠KJL = ∠KLJ
In ΔJKL -
72 + 2∠KJL = 180
2∠KJL = 108
∠KJL = 54°
Therefore, the measure of ∠KJL = 54°.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ5
When x = 19,
y = 209. Find
the value of x
when y = 143.
Answer:
13
Step-by-step explanation:
19=209
?=143
19*143
=2717
2717/209
=13
7th grade math help me pleaseee
Answer:
Hope this helped C:
Step-by-step explanation:
a) 149
b) 112
c) 18
d) -8 you subtract -14 from -22
e) -3.3 you subtract -2.8 from -6.1
f) -0.16
convert the fractions to decimals and then add 0.3(3/10) and -0.46(7/15)
if n = 4, preal =0.80 in the direction predicted, and a = 0.051 tail, using the sign test, the power is:______
Answer:
0.0000
Step-by-step explanation:
The sign test can be defined as a statistical method which can be used to test for consistent differences that are in existence between pairs
Now If N is 4, Preal is 0.80 in the predicted direction, and this is a 0.05 1-tail. Using the sign test, the power is going to be 0.0000.
The Answer is :
power = 0.0000
Jacob mixes ⅓ cup of yellow paint for every ⅕ cup of blue paint to make green paint. How many cups of yellow paint are needed for 1 cup of blue paint?
Answer:
[tex]\frac{5}{3}[/tex] cups
Step-by-step explanation:
Jacob mixes [tex]\frac{1}{3}[/tex] cup of yellow paint for every [tex]\frac{1}{5}[/tex] cup of blue paint to make green paint.
The ratio of yellow paint to blue paint = [tex]\frac{1}{3} : \frac{1}{5}[/tex]
= 5:3
[tex]\frac{1}{5}[/tex] cup of blue paint = [tex]\frac{1}{3}[/tex] cup of yellow paint
1 cup of blue paint = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex] cup of yellow paint
⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex]
⇒ [tex]\frac{5}{3}[/tex]
Hence, For 1 cup of blue paint needed [tex]\frac{5}{3}[/tex] cups of yellow paint.
