Answer:
Step-by-step explanation:
x-18+x-20=180(being supplementary angle)
or,2x-38=180
or,2x=180+38
or,2x=218
or,x=218/2
x=109
now,
ZB=x-20
=109-20
=89
Nonsense=report
Need help pls
Suppose X∼N(12.5,1.5), and x=11. Find and interpret the z-score of the standardized normal random variable.\
Answer:
pls mark me as brainliest
Step-by-step explanation:
Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
--------------------------------
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
The z-score measures how many standard deviations the measure X is from the mean, above or below.
X∼N(6.5,1.5), which means that .
The measure is
The z-score is:
The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
Nick and Darius are playing a number line game in math class. Nick says, "If you multiply my number by itself, you get 64."
What are all the possibilities for Nick's number?
Answer:
8
Step-by-step explanation:
8multiple by 8 is 64. to find an answer we will do the 8×8=64
An analysis of past maintenance costs indicates that maintenance cost is an average of $0.20 per machine-hour at an activity level of 10,000 machine-hours and $0.25 per machine-hour at an activity level of 8,000 machine-hours. If this activity is within the relevant range, what is the total expected maintenance cost if the activity level is 8,700 machine-hours?
Answer: $2000
Step-by-step explanation:
Variable cost = Change in cost ÷ Activity change
($2000 - $2000) ÷ (10000 - 8000) = $0
Fixed cost element = Final cost - Variable cost
$2000 - ($0.00 ×10000) = $2000
Therefore, the cost formula for total maintenance is $2000 plus $0 per hour
y = $2,000 + $0x
At a level of 8,700 machine-hours, the total cost is:
y = $2000 + ($0.00 ×8700) = $2000
Round 14.5621 to the nearest hundredth. Do not write extra zeros
Answer:
14.56
Step-by-step explanation:
Answer:
Your answer would be 14.56.
Step-by-step explanation:
find the area of the quadrilateral.
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
we have 2 major triangles that define this quadrilateral :
A-D-B and C-D-B.
both triangles have the same baseline : M_D + M_B = 14 cm
what we need to do is get the 2 heights M_C and N_A.
N_A we know already : 8 cm
so,
area A-D-B = 14×8/2 = 14×4 = 56 cm²
M_C we get via Pythagoras of the right-angled triangle D-M-C :
D_C² = M_C² + M_D²
10² = M_C² + 6²
100 = M_C² + 36
64 = M_C²
M_C = 8 cm
so,
area C-D-B = 14×8/2 = 56 cm²
so, the total area of the quadrilateral is
56 + 56 = 112 cm²
-4x + 7 = 2y - 3
y-intercept:
x intercept:
Answer:
x-intercept: [tex]\bigg(\frac{5}{2}, \:0\bigg)[/tex]
y-intercept: [tex](0,\:5)[/tex]
Step-by-step explanation:
To find the x-intercept, substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex].
[tex]-4x + 7 = 2y - 3[/tex]
[tex]-4x+7=2\left(\bold{0}\right)-3[/tex]
Simplify 2(0): [tex]-4x+7=2\cdot \:0-3[/tex]
Subtract 0 - 3 = -3: [tex]-4x+7=-3[/tex]
Subtract 7 from both sides: [tex]-4x+7-7=-3-7[/tex]
Simplify: [tex]-4x=-10[/tex]
Divide both sides by -4 [tex]\frac{-4x}{-4}=\frac{-10}{-4}[/tex]
[tex]\bold{x=\frac{5}{2}}[/tex]
To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex].
[tex]-4x + 7 = 2y - 3[/tex]
[tex]-4(\bold{0})+7=2y-3[/tex]
Switch sides: [tex]y-3=-4\left(0\right)+7[/tex]
Simplify -4(0): [tex]2y-3=-0+7[/tex]
Add 3 to both sides: [tex]2y-3+3=7+3[/tex]
Simplify: [tex]2y=10[/tex]
Divide both sides by 2: [tex]\frac{2y}{2}=\frac{10}{2}[/tex]
[tex]\bold{y=5}[/tex]
A tin contained 10 3/5 liter of oil . 1 2/7 liter of oil was leaked and 7 1/10 liter used up .Find how much oil is left in the tin.
The liter of oil tin contained
[tex] = 10 \ \frac{3}{5} [/tex]The liter of oil used and leak
[tex] = 1 \frac{2}{7} + 7 \ \frac{1}{10} [/tex][tex] = \frac{9}{7} + \frac{71}{10}[/tex][tex] = \frac{9 \times 10}{7 \times 10} + \frac{71 \times 7}{10 \times 7} [/tex][tex] = \frac{90}{70} + \frac{497}{70} [/tex][tex] = \frac{587}{70} [/tex]The liter of oil left in the tin
[tex] = \frac{53}{5} - \frac{587}{70} [/tex][tex] = \frac{53 \times 14}{5 \times 14} - \frac{587 \times 1}{70 \times 1} [/tex][tex] = \frac{742 - 587}{70} [/tex][tex] = \frac{155 \div 5}{70 \div 5} [/tex][tex] = \frac{31}{14} [/tex][tex] = 2 \frac{3}{14} [/tex]~nightmare 5474~
Answer:
2.2 l of oil was left.
Step-by-step explanation:
[tex]Total=10\frac{3}{5} =10.6l\\Used=7\frac{1}{10} =7.1l\\Leaked=1\frac{2}{7} =1.28l\\[/tex]
Total used=7.1l+1.28l=8.38l
[tex]Left=10.6l-8.38l=2.22l[/tex]
Find area of a circle of radius 30 cm use
Answer: A≈2827.43cm²
Step-by-step explanation:
A= πr² =π·30²≈2827.43339cm²
find the length of a 90° arc of a circle with a diameter of 10 m
Answer:
7.85 m (3 significant figures)
Step-by-step explanation:
Formula: arc length = [tex]2\pi r(\frac{\theta}{360} )[/tex]
The radius of a circle is half the diameter, so r = 10 ÷ 2 = 5
Therefore, arc length = 2 x [tex]\pi[/tex] x 5 x [tex](\frac{90}{360} )[/tex]
= [tex]\frac{5}{2}\pi[/tex]
= 7.853981634...
= 7.85 m (3 significant figures)
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C.
Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters.
What is the length of Line segment A C? Round to the nearest tenth.
3.0 cm.
9.8 cm.
10.5 cm.
12.8 cm.
Answer:
AC is b
[tex]tan55 = \frac{15}{b} [/tex]
15/tan55 = b
tan 55 = 1.428
15/1.428 = 10.5 cm = AC
Answer:
THIS IS THE ANSWER
Step-by-step explanation:
1/7 f = 6
Solve equation
Answer:
42
Step-by-step explanation:
Help me please I’ll give brainliest!
Answer:
5/5=8
Step-by-step explanation:
The identity property means any factor multiplied by 1 (in this case 5/5=1) is itself.
Answer:
D. [tex]\frac{5}{5} * 8[/tex]
Step-by-step explanation:
In identity property of multiplication, any number multiplied by 1 stays the same. Here we need 1 multiply to a number which is 8. Here we can get 1 from only ( 5/5 ) multiplied with 8 and gives as well 8. So the answer is D.
Suppose the mean and standard deviation of the GPAs at Loyola are
Xbar = 1.963; and s = 0.257
Catherine's GPA has a z-score of 2.010. What is Catherine's GPA?
(Leave your answer to 2 decimals: ex: 1.23)
Answer:
Catherine's GPA is 2.48
Step-by-step explanation:
A z-score of 2.010 means that Catherine's GPA is 2.01 standard deviations above the mean. Therefore, Catherine's GPA is [tex]\bar{x}+2.01\sigma=1.963+2.01(0.257)\approx2.48[/tex]
Please show me how to do this step by step, I’m confused…
3x-y=8
what is the solution
how do you calculate imaginary numbers?
someone help me please i don’t know how to do square units
Answer: 78.
Explaination:
To calculate the area of a triangle, multiply the height by the width aka the "base" then divide by 2.
In this case, the height is 13 and the width is 12.
[tex]S = \frac{height.width}{2} = \frac{13.12}{2} = 78[/tex].
Help please??????????
Answer:
B
Step-by-step explanation:
The graph hits the x axis at 5, -2, and -3/
What must be done to the expression x +14.1 to make it equal x?
Answer:
add the opposite of the constant
Step-by-step explanation:
The opposite of the constant must be added to the expression:
(x +14.1) +(-14.1) = x +(14.1 -14.1) = x +0 = x
help me on this someone
Answer:
how to get a mean of the data in the morning and after some time
Question 13
Which expression is equivalent to 45x - 15x? Choose all that apply.
A
30
B.
30x
с
60x
D
x(45-15)
Answer:
B. 30x
D. x(45-15)
Step-by-step explanation:
The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.
45x -15x = x(45 -15) = 30x
Which triangle is an obtuse scalene triangle?
Answer:
The answer is A
Step-by-step explanation:
help me plzzzzzz don't answer my question if you don't know the answer
PLEASE HELP
WILL MARK BRAINLIEST
Answer:
slope
[tex] = \frac{y2 - y1}{x2 - x } \\ [/tex]
[tex] \frac{5 - j}{ - 9 - 4} = - 1 \\ \frac{5 - j}{- 13} = - 1 \\ 5 - j = 13 \\ - j = 13 - 5 \\ - j = 8 \\ j = - 8[/tex]
Identify the Input values: (0,2), (1,3), (5,9), (7,13) *
Solve the system of equations by graphing.
y=−3x−4 y=x+4
Answer:
x = -2
y = 2
Step-by-step explanation:
In addition to my explanation, I will include a graph.
Since both equations are in slope-intercept form [tex]y=mx+b[/tex], where m is the slope of the line and b is the y-intercept, we can easily plot both lines.
First you plot the first points, which are (0,-4) and (0,4).
Next, we can use rise over run to determine where our next points will go.
Rise over run is just taking the slope as a fraction and using that to move points. For example, a slope with 3/4 would mean I move my points 4 spots to the right on the x-axis and 3 up on the y-axis. Every whole number is that number with #/1, so for the first equation we go right 1 spot and down 3 spots. For the next equation we go up 1 and right one. Keep doing this until you have a line formed and find where the lines intersect, or share a point.
What is 31 - (15 + 25) = ? thanks if you help!
Answer:-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
It is -9 because, using order of operations, you need to do the parentheses first. 25 + 15 is 40. Then, you do subtraction. 31-40=-9.
Hope this helps :)
A set of ordered pairs is shown. The set does not
represent a function.
{(-2,5), (0, 1), (3,6), (4, 6), (2,3), (5,-2),
(0,8)}
Which ordered pair could be removed from the set so it can represent a function
determine which point is the solution to the given system y=7x-26, y=4x-11
substitution
y = 7x-26 (1)
y = 4x-11 (2)
1⇒2
7x-26=4x-11
3x=15
x=5
y = 7(5)-26
y = 9
point (5,9)
