Step-by-step explanation:
Step 1: Write the equation using point-slope form
Point-Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-0=m(x-3)[/tex]
[tex]y = m(x-3)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-2-0}{-2-(-3)}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Step 3: Combine them together
[tex]y = m(x - 3)[/tex]
y = -2(x - 3)
IF NEEDED: Completely factor
[tex]y = (-2 * x) + (-2 * -3)[/tex]
y = -2x + 6
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Answer:
usual number of yellow eggs = 12
Usual maximum = 21
Usual minimum = 3
Step-by-step explanation:
To solve this, we will use the expected value of a binomial probability.
The formula is;
E(X) = np
Where;
n is sample size
p is probability of success.
We are given;
n = 58
p = 21%
Thus;
usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12
From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.
Thus;
USL = n(p + 3√(p(1 - p)/n)
USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)
USL = 21.48 ≈ 21
LSL = n(p - 3√(p(1 - p)/n)
LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)
LSL = 2.87 ≈ 3
please help solve this (geometry)
Answer:
∠ 3 = 140°
Step-by-step explanation:
∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then
∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°
Help me plz I need help
Answer:
x = 14°
Step-by-step explanation:
x + 76° = 90°
or, x = 90° - 76°
so, x = 14°
A is 2 times older than B. Identify the appropriate expression.
Answer:
C. 2x
Step-by-step explanation:
Let
B's age = x years
A's age = 2 times older than B
= 2 * x
= 2x years
A's age = 2x years
For instance, if B's age is 17 years
Then,
A's age = 2x
= 2(17)
= 34 years old
the volume of metal in a scale model of a metal high tension tower is 54 cm cubed. The scale used was 1:50. it required 50 mm of paint to give the model one coat. what volume of metal would be required to build the high tension Tower
Answer:
6,750,000 cm³ = 6.75 m³
Step-by-step explanation:
a scale version means that the ratio of every dimension of scale vs. real object is 1/50.
volume is created by multiplying 3 dimensions.
so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000
so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.
or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)
that would be 6.75 m³ of metal.
solution region of inequalities x≥ 0 and y≤0 lies in which quadrant?
9514 1404 393
Answer:
IV
Step-by-step explanation:
x > 0 in quadrants I and IV.
y > 0 in quadrants I and II.
The quadrant in which x > 0 and y < 0 is quadrant IV.
_____
The axes, x=0 or y=0, are in no particular quadrant. They are the boundaries between quadrants.
How bad is my friend’s handwriting
Rate from 1-10
Answer:
6
Step-by-step explanation:
Not bad, i can read it. Mines worse xd
the line I is a tangent to the circle x^2+y^2=50 at the point A. A is the point (1,7). the line crosses the x axis at the point p. work out the area of triangle oap 
Answer:
what do you need help with
Step-by-step explanation:
Please help me with this
Answer:
A
Step-by-step explanation:
first answer gets marked brainliest!!!
Answer:
in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s
hope that helps ❤
Please hurry I will mark you brainliest
The lines in which pair are parallel?
Answer:
C.
Step-by-step explanation:
Neither equation has a different slope, so they are parallel.
Find the value of the polynomial:
Answer:
107
Step-by-step explanation:
5x⁶-3x²+7-2x⁶-3x⁶+4x²
= x²+7 (terms with x⁶ cancels out)
= (-10)²+7
= 100+7
= 107
18. The graph of f(x) = ax2 opens
upward and is narrower than the
graph of g(x) = x2. Which of the
following could be the value of a?
Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?
James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?
Last year He was 7 years old.
His father is 4 times the age 7 x 4 = 28
Last year his dad was 28, so this year he is 29.
Combined age this year = 29 + 8 = 37
51 - 37 = 14 years
14/ 2 people = 7 years
8 + 7 = 15
29 + 7 = 36
15 + 36 = 51
It will take 7 years.
What is the area of the figure below?
Answer:
25
Step-by-step explanation:
HELP!!!!!
If anyone knows the answer please tell me as soon as possible PLEASE!!!!
Answer:
Trapezium (An acute trapezium to be exact)
Step-by-step explanation:
Draw all four co-ordinates on a cartesian plane. We know these co-coordinates are the vertices (corners), so draw a line connecting all four points and observe what shape you have.
Your reasoning for why it is a trapezium can include the following points.
Trapeziums are a flat, closed shape, having 4 straight sides, with one pair of parallel sides.
We can say its an acute trapezium since the bottom two angles are unequal and both measure less than 90 degrees
What is the slope of a line that runs through the points (-4, 2) and (-7,9)
Answer:
... i dont know what that means... i would comment this but i dont know how to.... so yeah
Step-by-step explanation:
9 Josie parents opened a college
savings account that pays yearly
simple interest of 5.5%. They opened
the account with $500 and adds $50
each month to her account. How
much money is in her account at the
end of 4 years?
Record your answer and fill in the
bubbles on your answer document.
Be sure to use the correct place
value.
Answer:
$1,281.00
Step-by-step explanation:
We start by calculating the value $50 added each month after the first month
= $50 × 11
= $550
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
P = Principal = 500 + 550
= $1050
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Solving our equation:
A = 1050(1 + (0.055 × 4)) = 1281
A = $1,281.00
Therefore, there would be $1,281.00 after 4 years.
Please hurry I will mark you brainliest
Grandpa khan’s age is 8 years is more than five times his grandson's age. The sum of their ages is 88 years. How old are they? Write an equation and “let statements”
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
see this attachment
Step-by-step explanation:
age of grandpa=72
age of grandson =16
eric has a summer lawn mowing buisness. based on experience eric knows that p= -3x^2 + 150x -1200 models his profit, p, in dollars, where x is the amount he charges per lawn. how much does he need to charge if he wants to break even? show your work
Answer:
Eric can either charge $10 or $40 in order to break even.
Step-by-step explanation:
Eric has a summer lawn mowing business and the equation:
[tex]p=-3x^2+150x-1200[/tex]
Models his total profit p by charging x dollars per lawn.
We want to determine what price Eric needs to charge in order to break even.
The price Eric charges to break even means that his total profit will be zero. Hence, we can let p = 0 and solve for x. Thu:
[tex]0=-3x^2+150x-1200[/tex]
We can divide both sides by -3:
[tex]0=x^2-50x+400[/tex]
Factor:
[tex]0=(x-10)(x-40)[/tex]
Zero Product Property:
[tex]x-10=0\text{ or } x-40=0[/tex]
Solve for each case. Hence:
[tex]x=10\text{ or } x=40[/tex]
Therefore, Eric can either charge $10 or $40 in order to break even.
Help plz ...............
Answer:
<RQP
Step-by-step explanation:
The vertex must either be the name of the angle or in the middle of the letters
<PQR or <RQP
We can also just call it <Q since there is only one angle
Solve the inequality 4 is greater than n over -4
Answer:
4 > [tex]-\frac{n}{4}[/tex]
-16 > n
Step-by-step explanation:
Greater than would mean that the "arrow" is not facing the number. It would mean it is larger than the other number. Also, you have to construct the other part of the inequality which would be [tex]-\frac{n}{4}[/tex].
4×4 > [tex]-\frac{n}{4}[/tex]×4
16 > -n
-16 > n
which of the following integers cannot be written as the sum of four consecutive odd integers. (A) 16 (B) 40 (C) 72 (D) 100 (E) 200
Answer:
(D) 100
Step-by-step explanation:
(A) 16 = 1+3+5+7
(B) 40 =7+9+11+13
(C) 72=15+17+19+21
(D) 100
(E) 200=47+49+51+53
Help me plz!!!.......
Answer:
[tex]AB^{2} =AD^{2} +BD^{2}[/tex]
[tex]AB^{2} =(7.5)^{2} +(4.9)^{2}[/tex]
[tex]AB=\sqrt{80.26}[/tex]
[tex]=8.96[/tex]
ΔABC tan C=AB/BC
⇒ tan 55.8= 8.96/BC ⇒BC= 8.96/tan 55.8
BC=x= 6.09
--------------------------
Hope it helps...
Have a great day!!
Calculate the mean of the data set {62, 75, 85, 63,69, 72, 76, 84, 87,88} round to the nearest tenth ?
Answer:
62+75+85+63+69+72+76+84+87+88 = 761
total scores is 10 then divde 761 by the total number of scores which is 10
761÷10 = 76.1
The measure of two supplementary angles are A=(4a+7)° and B=(a-2)° find the measure of the two angles
Answer:
147˚, 33˚
Step-by-step explanation:
supplementary angles means those angles add up to 180˚
so A+B = 180
substitute A and B with the values given.
(4a+7) + (a-2) = 180
combine like terms
5a + 5 = 180
5a = 175
a = 35
Now that we have a, substitute in the actual value of a into the expressions for each angle.
for <A: 4(35) + 7 = 147˚
for <B: 35 - 2 = 33˚
Answer:
<A =147
<B = 33
Step-by-step explanation:
Supplementary angles add to 180
4a+7 + a-2 = 180
5a+5 = 180
5a+5-5 = 180-5
5a = 175
Divide by 5
5a/5 = 175/5
a = 35
<A = 4a+7 = 4*35 +7 = 140+7=147
<B = a-2 = 35-2 = 33
HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!
How to find the area of this figure pls?
There are 50pupils in a class .Out of this number 1/10 speak French only and 4/5 of the reminder speak both French and English.lf the rest speak English only,find the number of student who speak
a.both French are English
b.only English
Answer:
40 pupils speak French and English
5 pupils speak only English
Step-by-step explanation:
**The grammar has some errors, but I hope I understood it correctly to answer your question correctly!**
Here's what we know about the question:
- 1/10 of the 50 pupils speak only FRENCH
- 4/5 of the 50 pupils speak FRENCH and ENGLISH
- rest of the pupils speak only ENGLISH
Here's what we're trying to find:
- # of pupils that speaks FRENCH and ENGLISH
- # of pupils that speak only ENGLISH
Let's start of with find how many pupils speak French:
1/10 of the 50 pupils speak French. To find the # of pupils, divide 50 by 10:
50/10 = 5
5 pupils speak only French
Now let's find out how many pupils speak French and English:
4/5 of the 50 pupils speak French and English. We are going to divide 50 by 5 and then multiply the result by 4:
50/5 = 10
10 * 4 = 40
40 pupils speak French and English
Finally, let's find the number of pupils that speak only English:
The question only says that the rest of the 50 pupils speak only English.
We are going to add the other pupils who don't speak only English, then subtract that value from 50:
40 + 5 = 45
50 - 45 = 5
5 pupils speak only English
Hope that helps (●'◡'●)
