Step-by-step explanation:
3p + 7q = 55
7p + 7q = 91
(-)
-4p=-36
p=9
q=4
Answer:
p = 9 and q = 4
Step-by-step explanation:
3p + 7q = 55 -- (1)
7p + 7q = 91 -- (2)
(2) - (1) : 4p = 36
p = 9 -- (3)
Substituting (3) into (1),
27 + 7q = 55
7q = 28
q = 4 -- (4)
Therefore, p = 9 and q = 4
If this helps you, please mark brainliest!
Have a nice day!
At an assembly plant for light trucks, routine monitoring of the quality of welds yields the following data:
Number of Welds
High Moderate Low
Quality Quality Quality
Day Shift
Evening Shift
Night Shift 467 191 42
445 171 34
254 129 17
Can you conclude that the quality varies among shifts?
a. State the appropriate null hypothesis.
b. Compute the expected values under the null hypothesis.
c. Compute the value of the chi-square statistic.
d. Find the P-value. What do you conclude?
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : quality does not vary among shift
H1 : quality varies among shift
The expected values :
(Row * column) / grand total
Given the data:
Observed values :
_________________total
_______467 191 42 __700
_______445 171 34 __650
_______254 129 17 _ 400
Total __ 1166 491 93 _ 1750
Expected value count using the formula :.
Expected Values:
466.4 ____196.4 ______37.2
433.086 _182.371___ 34.5429
266.514_ 112.229____ 21.2571
The Chisquare statistic (χ²) :
χ² = (observed - Expected)²/ observed
χ² = 5.76045
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (3-1)*(3-1) = 2*2 = 4
Pvalue = 0.2178
Pvalue > α ; We foal to reject H0 ; Hence, we conclude that quality does not vary among shift
can we say ((-16)÷4) ÷ (-2) is the same as (-16)÷ (4÷(-2)?
Answer:
no we can't
Step-by-step explanation:
(-4)÷(-2). (-16÷(-2)
2. 8
[tex]\longrightarrow{\blue{[( - 16)\div 4) \div ( - 2)] \:is\:not\:equal\:to\:( - 16) \div [4 \div( - 2) ] }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex][( - 16 )\div 4) \div ( - 2)] = ( - 16) \div [4 \div( - 2) ][/tex]
Let us first solve for L. H. S.
[tex] = [( - 16 )\div 4) \div ( - 2)][/tex]
[tex] = [ (\frac{ - 16}{4} )\div ( - 2)][/tex]
[tex] = \frac{( - 4)}{( - 2)} [/tex]
[tex] = 2[/tex]
Now, R. H S.
[tex]( - 16) \div [4 \div ( - 2)][/tex]
[tex] = \frac{ - 16}{ - 2} [/tex]
[tex] = 8[/tex]
[tex]\sf\purple{L. H. S.\: ≠ \:R. H. S. }[/tex]
Hence, [tex][( - 16) \div 4) \div( - 2)] ≠(-16)\div [4 \div( - 2) ][/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Two angles are complementary. One angle measures 60 degrees. What is the measure of the other angle?
I'm not sure if its A.
Answer:
30
Step-by-step explanation:
Complementary angles add to 90
x+60 = 90
x+60-60 = 90-60
x = 30
Answer: A
Step-by-step explanation:
Complementary angles sum up to 90 degrees. Thus, we can write that:
90=angle1+angle2
90-angle1=angle2
90-60=angle2
angle2=30
Which polygon has
an interior angle sum of
1080°?
Answer:
OctagonStep-by-step explanation:
An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.
Because the octagon is regular, all of its sides and angles are congruent
Answer:
It's an octagon. So should be the first one with 8 points.
Step-by-step explanation:
In a math class, there are 6 students with brown hair, 8 students with black hair, and 9 students with blonde hair? One student is selected at random. What is the sample space? *
Brown, black .
Black, blonde.
Brown, black, blonde.
Brown, blonde.
Explanation:
The sample space is simply the list of possible outcomes. We list all the hair colors possible in this class.
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 34 hours and the median is 30.2 hours. Twenty-four of the families in the sample turned on the television for 19 hours or less for the week. The 8th percentile of the data is 19 hours. Step 4 of 5 : What is the value of the 50th percentile
Answer: The value of the 50th percentile is 30.2 hours.
Step-by-step explanation:
We are given:
Mean of the data watching television by 24 families = 34 hours
Median of the data watching television by 24 families = 30.2 hours
8th percentile of the data = 19 hours
The median of data is the value that divides the data into two equal halves.
This means that the median will represent the 50th percentile of data.
Thus, the value of the 50th percentile is 30.2 hours.
Angle x is conterminal with angle y. If the measure of angle x is greater than the measure of angle y, which statement is true regarding the values of x and y?
x = y - 180n, for any positive integer n
x = y - 360n, for any integer n
x = y + 360n, for any positive integer n
x = y + 180n, for any integer n
9514 1404 393
Answer:
x = y + 360n, for any positive integer n
Step-by-step explanation:
Since x is greater than y, something must be added to y to get x. Angles have the same co-terminal ray at multiples of 360°. Then the amount added to y must be some multiple of 360°:
x = y + 360n . . . . . for positive integer n
The table represents the equation y= 8x what y= value is missing from the table?
Answer:
24
Step-by-step explanation:
y=8(3)= twenty four
you just fill in the x
This are 3 different questions please help me
Does this graph show a function? Explain how you know.
PLZ HELP ASAPPP
Answer:
the correct answer is b
Step-by-step explanation:
a function can not have 2 of the same x values for a line on a graph as shown in the picture drawn that i have attached if you need a further explanation let me know
A tepee is designed to have a diameter of 10 ft and a volume of 393 ft. At
what height, h, should the support poles cross to assemble the tepee
correctly? Use 3.14 for 1 and round your answer to the nearest foot.
Answer:
15 ft.
Step-by-step explanation:
The tepee is a cone and its volume
= 1/3 pi r^2 h where r = radius and h = height.
The radius r = 1/2 * 10 = 5 ft.
So we have the equation:
393 = 1/3*3.14* 5^2 * h
h = 393 / (1/3*3.14*25)
= 15.02 ft.
Which of the following represents the factorization of the trinomial below?
X2 - 2x - 48
ANSWER
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x + 6)(x - 8)}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {x}^{2} - 2x - 48[/tex]
[tex] = {x}^{2} - 8x + 6x - 48[/tex]
Taking [tex]x[/tex] as common from first two terms and 6 from last two terms, we have
[tex] =x \: ( \: x - 8 \: ) + 6 \: ( \: x - 8 \: )[/tex]
Taking the factor [tex](x-8)[/tex] as common,
[tex] = (x + 6)(x - 8)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
(X+6)(x-8)
Step-by-step explanation:
Find the slope of a line that is PRRPENDICULAR to the line that goes between (3,-8) and (5,2).
5
1/5
-5
-1/5
3
-3
1/3
-1/3
Answer:
-1/5
Step-by-step explanation:
Slope of the line = (y2-y1)/(x2-x1)
(2-(-8)/(5-3)
10/2 = 5
Perpendicular line = the slope is opposite of the reciprocal
-1/5
4.000.000 x 4.000.000 = ?????
Helpp
I think the answer is 16 but I'm not 100% sure
If you become a. . what Will you do
Answer:
if you becomes a.. what is this mean
Answer:
i have no idea
Step-by-step explanation:
i dont think turning into a virtual period will let me do anything. If you can clarify please let us know!
Please help so urgent
Answer:
Option E. None of the above.
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = (x – 5)/(2x + 3)
Inverse of f(x) => f¯¹(x) =?
Recall:
When a function f(x) is multiplied by it's inverse f¯¹(x), the result is equal to 1 i.e
f(x) × f¯¹(x) = 1
With the above information, we can determine the inverse of function given above as follow:
f(x) = (x – 5)/(2x + 3)
Inverse of f(x) => f¯¹(x) =?
f(x) × f¯¹(x) = 1
(x – 5)/(2x + 3) × f¯¹(x) = 1
f¯¹(x)(x – 5) / (2x + 3) = 1
Cross multiply
f¯¹(x)(x – 5) = (2x + 3)
Divide both side by (x – 5)
f¯¹(x) = (2x + 3) / (x – 5)
Thus, the inverse of the function is (2x + 3) / (x – 5).
Option E gives the correct answer to the question.
a line through (4,2) with slope 1/2
Answer:
Step-by-step explanation:
Use the formula P=MX+B
if a line intersect x axis at a point (6,0) and y axis at a point (0,-8). then what is equation of a line?
Answer: y = 4/3x -8
Step-by-step explanation:
(6,0) (0,-8)
0-(-8)/6-0 = 8/6 = 4/3
y intercept is given already
Given the triangle below, answer the following:
Answer:
Step-by-step explanation:
question no . 5
ratio of angle L
take angle as reference angle
using cos rule
cos L = base / hypotenuse
= 4/5
ratio of angle N
take angle N as reference angle
using sin rule
sin N = opposite / hypotenuse
= 4/5
for measure of angle L
cos L = 4/5
cos L = 0.8
L = [tex]cos^{-1}(0.8)[/tex]
L = 36.9
for meanure of angle N
sin N = 4/5
sin N = 0.8
N = [tex]sin^{-1}(0.8)[/tex]
N = 53.1
Nia had a 20 inch by 30 inch enlargement made of a photograph. She wanted to have it framed. How many inches of frame would it take to enclose the photo?
Answer: 100 inches
Step-by-step explanation:
From the question, we are given the information that Nia had a 20 inch by 30 inch enlargement made of a photograph and that she wanted to have it framed.
The number of inches of frame that she would use to enclose the photo will be gotten by calculating the perimeter of the shape and this will be:
= 2(length + width)
= 2(30 + 20)
= 2(50 inches)
= 100 inches
To enclose the photo, 100 inches of frame is needed.
What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?
Answer:
Y=x+3
Step-by-step explanation:
we have :
x1= -7
y1= -4
m=1
as we know Y-y1=m(X-x1)
Y+4=(X+7)
Y+4=X+7
Y=X+7-4
Y=X+3
Find the equation of the line that has a slope of 7 and a y intercept of -10. Write you answer in the form of y = mx + b
Answer:
Step-by-step explanation:
y = mx + b is the slope-intercept form of a line where m is the number value of the slope and b is the number value of the y-intercept. Our slope is given as 7, therefore, m = 7 in our equation. Our y-intercept is given as -10; thus, b = -10. Filling that in gives us y = 7x - 10
I would appreciate if someone could answer this :)
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
If the coordinates of a point p(m-3, -6) = p(-7, -6), then find the value of m
Answer:
[tex]m =-4[/tex]
Step-by-step explanation:
Given
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
Required
Find m
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
By comparison:
[tex]m-3 = -7[/tex]
Add 3 to both sides
[tex]m = -7+3[/tex]
[tex]m =-4[/tex]
Value of 140 degree in diagrams
Answer:
There are 360º in a circle. 140º has been allocated to one angle.
There are 360-140 = 220º left in the circle.
Step-by-step explanation:
What is the sum of the interior
angle measures of a polygon
that has 20 sides?
Sum = [?]"
Hint: Sum = (n-2)180
Step-by-step explanation:
if N= given Side then,
(20-2)180
18×180
3240° Answer
Answer:
n=20 side
sum=(n-2)180
=(20-2)180
=(18)180
=3240
Pleeeeeeeese help me I will mark you as brainliest
[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]
FIND THE NUMBER THAT MAKE EQUIVALENT FRACTION.
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex] \red{solved} \\ \frac{4}{ \cancel{5}} = \frac{x}{ \cancel{40}^{ \: \: \: \tiny{8}} } \\ 8 \times 4 = x \\ 32 = x[/tex]
[tex] \blue{Part - 1} \\ \frac{4}{ \cancel{6}} = \frac{x}{ \cancel{24}^{ \: \: \: \tiny{4}} } \\ 4\times 4 = x \\ 16 = x[/tex]
[tex] \green{Part - 2} \\ \frac{1}{ 2} = \frac{6}{ x } \\ 6 \times 2 = x \\ 12 = x[/tex]
SOLVE LIKE THIS FOR ALL
PART - 3 --> 12
PART - 4--> 40
PART - 5 --> 6
PART - 6--> 4
PART - 7 --> 54
PART - 8 --> 12
PART - 9--> 36
PART - 10 --> 28
PART - 11--> 20
PART - 12 --> 28
PART - 13 --> 16
PART - 14 --> 20
PART - 15 --> 12
PART - 16 --> 6
PART - 17 --> 32
PART - 18--> 30
PART - 19 --> 27
PART - 20 --> 36
32
The angles shown are supplementary. What is the value of x? 0
(2 Points)
(5x5°
95°
O 180 degree
• 17 degree
O 22 degree
45 degree
HELPP I NEED THIS ASAP ITS FOR MY FINALSS
Answer:
17degrees
Step-by-step explanation:
The sum of two supplementary angles is equation 180degrees. Hence:
5x+95 = 180
5x = 180-95
5x = 85
x = 85/5
x = 17
Hence the value of x is 17
Two towers A and B are 45m and 30m high. Tower A lies to the west and B to the east of a man 1.5m tall. From the mans eye level, the angle of elevation of the top of A and B are 66° and 28° respectively. Calculate correct to three signigicant fugures the distance between A and B.
Answer:
73.0m
Step-by-step explanation:
see the attachment. Hope it helps.
The answer I got for this problem was 10.8 (multiplied 18 and 60 then divided by 100) however, it stated that my answer is incorrect. Did I not round correctly or is my entire answer wrong?
9514 1404 393
Answer:
30 mL
Step-by-step explanation:
The meaning of 60% solution is ...
alcohol/(total volume) = 0.60
You are told the amount of alcohol is 18 mL, so you have ...
(18 mL)/(total volume) = 0.60
Multiplying by total volume gives ...
18 mL = 0.60 × (total volume)
Then dividing by 0.60, you have ...
(18 mL)/0.60 = total volume = 30 mL
_____
Additional comment
You need to apply what you know about the real world to consider whether your answer makes any sense. If alcohol is a little more than half of the volume, and the amount of alcohol is 18 mL, then the total volume cannot be less than 18 mL. In fact, you expect it to be not quite double 18 mL.
An answer of 10.8 mL makes no sense in this context. You cannot have less total solution than you have of something that makes up a part of the total solution.
