Answer:
62 and 63
Step-by-step explanation:
125/2= 62.5 (Middle integer or mean of the 2 integers)
That means that the integers are 62 and 63
What is the input value for which g(x) = 3?
Answer:
x=9 when g(x) = 3
Step-by-step explanation:
We want to find the x values when the y value is 3
Following the line y =3 There is only one point on the blue graph where y is 3
That is when x=9
Answer:
x = 9
Step-by-step explanation:
We are asked to find for what input values does g(x) = 3.
What this question is really asking is for what value of x is the equation g(x) equal to 3. In other words, for what value of x does y = 3.
From looking at the graph, we can see that y = 3 when x = 9. Therefore, x = 9 is our answer.
I hope you find my answer and explanation to be helpful. Happy studying.
I do not need the answer for this question I simply need a calculator for these kind of questions. Does anyone have any suggestions. Will give Brainlyist answer btw
What is the surface area, in cm^2, of the figure shown above?
Answer:
188 cm^2.
Step-by-step explanation:
This consists of 3 pairs of rectangles
= 2 * 4*7 + 2 * 4*6 + 2 * 6*7
= 56 + 48 + 84
= 188.
A peach farmer has two different varieties (named Variety A and Variety B) of peach trees on her land. Thirty percent of her trees are Variety A peaches and the other 70% are Variety B peaches. The weights of Variety A peaches are normally distributed with a mean of 90 grams and a standard deviation of 8 grams. The weights of Variety B peaches are normally distributed with a mean of 107 grams and a standard deviation of 12 grams. a. What proportion of Variety A peaches weigh between 100 and 110 grams
Answer:
12.03%
Step-by-step explanation:
The z score i used to measure by how many standard deviations the raw score is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard \ deviation,x=raw\ score[/tex]
a) For variety A, the mean = μ = 90, standard deviation = σ = 8
For x = 100 grams:
[tex]z=\frac{x-\mu}{\sigma} =\frac{100-90}{9} =1.11[/tex]
For x = 110 grams:
[tex]z=\frac{x-\mu}{\sigma} =\frac{110-90}{9} =2.22[/tex]
From the normal distribution table, P(100 < X < 110) = P(1.11 < z < 2.22) = P(z < 2.22) - P(z < 1.11) = 0.9868 - 0.8665 = 0.1203 = 12.03%
Write the equation of the line MN, which is formed by the
points M-3, 5) and N(2, 0).
Step 1: Identify the slope. m =
Answer:
-1
Step-by-step explanation:
Took the assignment! :)
The equation of the line MN is y = -x + 2.
The slope is -1.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the slope of the line MN, we can use the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
where[tex](x_1, y_1) = (-3, 5)[/tex] is the coordinate of point M, and [tex](x_2, y_2) = (2, 0)[/tex] is the coordinate of point N.
Now,
m = (0 - 5) / (2 - (-3))
m = -5 / 5
m = -1
So the slope of the line MN is -1.
Now that we know the slope, we can use the point-slope form of the equation of a line:
[tex]y - y_1 = m(x - x_1)[/tex]
where m = -1 is the slope we just found and [tex](x_1, y_1) = (-3, 5)[/tex] is one of the points on the line.
Plugging in the values, we get:
y - 5 = -1(x - (-3))
y - 5 = -x - 3
y = -x + 2
Therefore,
The equation of the line MN is y = -x + 2.
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2
3
What is the product of - 7 and 7?
6
0-
6
49
o
49
В
Answer:
-49 is the product of -7 and 7
Answer:
-49
Step-by-step explanation:
-7 x 7 = -49
negative and negative = positive
negative and positive = negative
1. Government laws require that new showerhead flow rates be no more than 2.5 gallons per minute. If you take one 10-minute shower a day, the following measurement equalities apply:
Answer:
You use 25 gallons of water in a 10-minute shower.
Step-by-step explanation:
the statement describes the sequence -3,5 -7,9 -11 ____ check all that apply
Hope this helps 2,4,5
PLEASE HELP MATH 30+ points
Answer:
21
Step-by-step explanation:
You need to use the rule that they gave you (1.5t+3). Since t represents the time in weeks, replace t with 12. Now multiply. 1.5x12=18. 18+3=21
Answer:
the answer to this question is that 30 points is all that I need
What is the measure of the of the sector shaded above?
The area of the shaded sector is 64.1 centimetres squared.
How to find the area of a sector?The area of a sector can be represented as follows:
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore, the central angle is equals to the arc angle.
∅ = 150 degrees
r = 7 cm
area of the shaded sector = 150 / 360 × 3.14 × 7²
area of the shaded sector = 150 / 360 × 3.14 × 49
area of the shaded sector = 23079 / 360
area of the shaded sector = 64.1083333333
area of the shaded sector = 64.1 cm³
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The measure of the sector shaded is 64.1 cm²
How to find the measure of the sector shaded?The sector of a circle is the part enclosed by two radii and the included arc of a circle.
The area of a sector is given by the formula:
A = θ/360 * πr²
where r is the radius of the circle and θ is angle subtended by the sector
In this case, we have:
θ = 150° and r = 7 cm
A = θ/360 * πr²
A = 150/360 * 3.14 * 7²
A = 64.1 cm²
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can you help me with this please and thanks in advance
Answer: all are congruent, sorry, don't completely remember this but I tried
Step-by-step explanation:
Three less than 6 times a number
Answer:
6x-3
Step-by-step explanation:
The required number, which is 3 less than 6 time of number n is 6n-3.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
Let the number is n,
According to given conditions,
To determine the number, which is 6 times of the number and 3 less,
Use expression form,
The required number can be written as,
3n-6
The required number is 3n-6.
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Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5 of the respondents did not provide a response, said that their experience fell short of expectations, and of the respondents said that their experience met expectations. Round your answers to two decimal places. a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
This question is not complete, the complete question is;
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. Round your answers to two decimal places.
a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
b. If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?
Answer:
a) 0.04
b) 0.69
Step-by-step explanation:
Given that
P ( No response ) = 5% = 0.05
P ( Short of expectation ) = 26 = 0.26
P ( Met expectation ) = 65% = 0.65
a) the probability that the alumnus would say their experience surpassed expectations
P ( surpassed expectations) = 1 - (P(No resp )+P( Short of exp)+ P( Met exp))
= 1 - (0.05 + 0.26 + 0.65 )
= 1 - 0.96
= 0.04
b) the probability that the alumnus would say their experience met or surpassed expectations.
the probability that experience met or surpassed expectations is;
= P (met exp) + P ( surpassed exp)
= 0.65 + 0.04
= 0.69
The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest
rate compounded annually, how much total will they have paid after 30 years?
Answer:
$251550.02 total
Consider right triangle ABC below. Which expressions represent the length of side bc
Answer:
It's B and C
Step-by-step explanation:
I have this same question on Khan Academy, and it is B. 6⋅sin(35°) and C. 6⋅cos(55°)
The solution to the problem can be solved using trigonometric functions.
Trigonometric functions[tex]\rm{Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of BC = 6 Cos(55°) = 6 Sin(35°).
Given to usAC = 6 units∠A = 35°∠B = 90°∠C = 55°Solution1. For ∠CCosine Function
[tex]\rm{ Cos(\angle C) = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\rm{ Cos(55^o) = \dfrac{BC}{AC}[/tex]
[tex]\rm{ Cos(55^o) = \dfrac{BC}{6}[/tex]
[tex]{BC}={6}\ Cos(55^o)[/tex]
2. For ∠ASine Function
[tex]\rm{ Sin(\angle A) = \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\rm{ Sin(35^o) = \dfrac{BC}{AC}[/tex]
[tex]\rm{ Sin(35^o) = \dfrac{BC}{6}[/tex]
[tex]{BC}={6}\ Sin(35^o)[/tex]
Hence, the value of BC = 6 Cos(55°) = 6 Sin(35°).
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PLEASE HELP 20+ POINTS I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
The two interior angles on the left that are not connected to A add up to A.
80 + 60 = 140
The other way to do this is to realize that A and 40 are supplementary (they add up to 180).
40 + A = 180 Subtract 40 from both sides
A = 180 - 40
A = 140
What is the interest earned on $620 at a rate of 3% for one year. Please help!
Answer:
$18.6 interest
Step-by-step explanation:
3% of 620=
(3x620)/100=18.6
Answer:
$18.60
Step-by-step explanation:
3% = 0.03
$620 x 0.03 = $18.60Answer: $18.60
If requested total:
$620 x 1.03 = $638.6Answer: $638.6
Given f(x)= 10-2x, find f(7).
-4
3
7
56
Answer:
f/97)=10-2(7)=10-14=-4
Answer:
-4 !!!
Step-by-step explanation:
Can somebody explain slope to me with the formula and with the graph
Answer:
Step-by-step explanation:
The slope formula is M=y2-y1
______
X2-X1
Ex. (-1,1) and (1,-2)
x1,y1 x2,y2
-2+1 -3
_____= ____
1+(+1) 2
Graph:
Any linear function can be quickly graphed using the form: y=mx+b
X: independent variable
y: dependent variable
M: slope
b: y-intercept
(When you don't have a denominator for M put a 1 Ex. 4--> 4/1)
Ex. y=-1/2x + 4
M= 1/2
B: 4
Rise/Run = -1/2 "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).
can someone please show me the step-by-step explanation
Answer:
x = 4
EFH = 21°
EFG = 83°
Step-by-step explanation:
EFH + HFG = EFG
(5x + 1) + 62 = (18x + 11)
solve for x:
62 = (18x + 11) - (5x + 1)
62 = 13x + 10
62 - 10 = 13x
52 = 13x
x = 52/13 = 4
Find the percent decrease if a player's batting average dropped from 0.308 to 0.283 in one season. Round your answer to one decimal place.
Answer:
platform
Step-by-step explanation:
analysis by other states has shown the same name
Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make? Group of answer choices 1.Joan has too many squares for a 9-foot-by-9-foot quilt and not enough squares for a 10-footby-10-foot quilt. 2.Joan has too many squares for a 10-foot-by-10-foot quilt and not enough squares for an 11- foot-by-11-foot quilt. 3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt. 4.Joan has too many squares for a 12-foot-by-12-foot quilt and not enough squares for a 13-footby-13-foot quilt.
Answer:
Answer 3 I believe I'm not totally sure sorry but I'm 76% sure it is 3.
A boat traveled 150 feet in 9.7 seconds. How far would the boat travel in 1 minute?
Round to the nearest tenth.
Randy wants to attach a 21 foot string of lights to the top of the 18 foot mast of his sailboat. How far from the base of the mast should he attach the end of the light string?
Answer:
10.81665
Step-by-step explanation:
In order to solve this we can use pythagorean theorem, or [tex]a^{2} + b^{2} = c^{2}[/tex]
C represents the hypotenuse and a and b represent the two other sides.
We have the hypotenuse, 21 feet. We also have a side, 18 feet. We can plug these in and solve for a.
[tex]a^{2} + 18^{2} = 21^{2}[/tex]
[tex]a^{2} + 324 = 441[/tex]
Subtract 324 from both sides.
[tex]a^{2} =117[/tex]
Square root both side to remove the square.
[tex]\sqrt{a^{2} } =\sqrt{117}[/tex]
[tex]a=10.81665[/tex]
Hope this helps!
This question is based on the Pythagorean theorem. Therefore, 10.81665 feet far from the base of the mast should he attach the end of the light string.
Given:
Randy wants to attach a 21 foot string of lights to the top of the 18 foot mast of his sailboat.
We need to determined the base of the mast should he attach the end of the light string.
According to the question,
By using Pythagorean theorem,
[tex]a^2 + b^2 = c^2[/tex]
Here, it is given that, b = 18 and c = 21.
Putting this value in above formula.
We get,
[tex]a^2 + 18^2 = 21^2[/tex]
[tex]a^2 = 441 - 324\\\\a^2 = 117[/tex]
Square root both sides. We get,
[tex]\sqrt{a^2} = \sqrt{117}[/tex]
a = 10.81665.
Therefore, 10.81665 feet far from the base of the mast should he attach the end of the light string.
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18+4x3
simplify using order of operation
Answer:30
Step-by-step explanation:
PEMDAS (Parentheses, exponents, multiply or divide, add or subtract)
Multiply first. 4x3=12.
Then add. 18+12=30
Find the value of x in each case:
QUICKLY PLEASE
Answer:
for 2nd figure answer is 18
Step-by-step explanation:
4x+6x=180°(Being co-interior angle)
or,10x=180°
or,x=180°/10
or,x=18
Answer:
image 1 ---- x = 11
image 2 ---- x = 22.5
Step-by-step explanation:
Image 1finding the value at EFB
180 - 147 = 33 degrees
since DEBC is a "Z" angle means that the value at DEB and EBC is the same value of 4x.
therefore :
FEB = 180 - 4x
therefore to find x
NB : total value of triangle is 180 degrees
180 = 33 + (180-4x) +x
180 = 33 + 180 -4x + x
180 = 213 -3x
make x the subject of formula
180-213 = -3x
-33 = -3x
x = -33/-3
x = 11
Image 2DEA = BAE
therefore BAE = 2x
DEB = 180 - 4x
ABE = 180 - 6x
NB : total value of triangle is 180 degrees
180 = 2x + (180- 4x) + (180 - 6x)
180 = 2x + 180 - 4x +180 - 6x
180 = -8x + 360
-180 = -8x
x = 22.5
Solve for v
12v = 40 + 7v
Answer:
Pull out like factors
5v - 40 = 5 • (v - 8)
v-8 = 0
add 8 to both sides
v = 8
Step-by-step explanation:
What is the solution to the inequality in interval notation? 5k+28<−4(k+2) A. (−∞, −4] B(−∞, −4) C [4, ∞) D (−∞, 4)
Answer: (-∞,-4)
Step-by-step explanation: I had the same question on my test hope it helps!
can you guys please help with this question i need it asap, thank you very much.
Answer:
its C
Step-by-step explanation:
When two lines intersect, they intersect at a...
A) Ray
B
Point
Line
Plane
Answer:
point
Step-by-step explanation:
