Answer:
40° and 140° (with x = -10)
Step-by-step explanation:
Since the angles are supplementary (when added, equal 180°), you can add the two angles together to get (-18x)°. 180/-18 = -10 for x. Fill in -10 for x in both expressions. (-14 • -10)= 140° and (-4 • -10)- 40°. 140+40=180
Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)
ii) Then p=(2/3) as n=8
iii) 0.06828
Step-by-step explanation:
Use binomial distribution:
Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.
Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.
So for 3 out of 8, it means x=3 and n=8.
Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828
6.625 Gallons, 26.5 Quarts, or 53 Pints this is the answer
Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.
![\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Ctextit%7Bhyperbolas%2C%20horizontal%20traverse%20axis%20%7D%20%5C%5C%5C%5C%20%5Ccfrac%7B%28x-%20h%29%5E2%7D%7B%20a%5E2%7D-%5Ccfrac%7B%28y-%20k%29%5E2%7D%7B%20b%5E2%7D%3D1%20%5Cqquad%20%5Cbegin%7Bcases%7D%20center%5C%20%28%20h%2C%20k%29%5C%5C%20vertices%5C%20%28%20h%5Cpm%20a%2C%20k%29%5C%5C%20c%3D%5Ctextit%7Bdistance%20from%7D%5C%5C%20%5Cqquad%20%5Ctextit%7Bcenter%20to%20foci%7D%5C%5C%20%5Cqquad%20%5Csqrt%7B%20a%20%5E2%20%2B%20b%20%5E2%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
Answer:
4 gallons of paint
Step-by-step explanation:
We solve using the formula for surface area of rectangular prism.
A=2(wl+hl+hw)
Where:
w = Width
h = Height
l = Length
The pool is 4 feet deep, 18 feet long, and 12 feet wide.
Hence,
=2 × (12 × 18 + 4 × 18 + 4 ×12)
=672 square feet
One gallon of paint covers 155 square feet.
Hence,
155 square feet = 1 gallon of paint
672 square feet = x
Cross Multiply
155 square feet × x = 672 square feet × 1 gallon of paint
x = 672 square feet × 1 gallon of paint/ 155 square feet
x = 4.335483871 gallons of paint
Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint
