85! = 85 × 84 × 83 × … × 43 × 42 × 41 × … × 3 × 2 × 1
Dividing 85! by 42 removes the factor of 42 in the middle:
85!/42 = 85 × 84 × 83 × … × 43 × 41 × … × 3 × 2 × 1
and the remaining divisor on the right consists of 84 integers whose product is
6,707,390,748,525,119,707,022,570,100,620,503,797,144,205,579,299,385,866,788,140,779,822,857,765,709,426,986,929,530,629,817,641,048,054,169,600,000,000,000,000,000,000
b) In a sunny day, the length of the shadow of a pole 30m long is equal to the
of the pole. After a while, it is found to be 51.96m long, find the altitude of the sun in both cases.
The ratio of berries to oranges is 10:1 if there are 25 oranges how many berries are there
Answer:
250 berries
Step-by-step explanation:
We know that the ratio of berries to oranges is 10:1. This ratio tells us, for every one orange, there should be ten berries. But, now we have 25 oranges:
For every orange there are ten berries, and since we have 25 oranges, we can write an expression:
25 oranges * 10 = 250 berries
There are 250 berries.
I hope this helps! Please let me know if you have any further questions :)
1 is ____% of 60
put random things at the end because it needs 20 characters
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population. Construct a 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet.
Answer:
The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
64 + 16 = 80 children, of which 80 are girls. So
[tex]n = 80, p = \frac{64}{80} = 0.8[/tex]
92% confidence level
So [tex]\alpha = 0.08[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.08}{2} = 0.96[/tex], so [tex]Z = 1.75[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.722[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.878[/tex]
The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).
x varies directly with y. if y = -57 when x = 9, find x when y = 27.
Answer:
x = -81 / 19
Step-by-step explanation:
y = kx
-57 = 9k
k = -57/9 or -19/3
27 = [tex]\frac{-19x}{3}[/tex]
-19x = 81
x = -81 / 19
[tex]\\ \rm\bull\longmapsto x\propto y[/tex]
[tex]\\ \rm\bull\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \rm\bull\longmapsto x_2=x_1y_2\div y_1[/tex]
[tex]\\ \rm\bull\longmapsto x_2=\dfrac{9(27)}{-57}[/tex]
[tex]\\ \rm\bull\longmapsto x_2=\dfrac{243}{57}[/tex]
[tex]\\ \rm\bull\longmapsto x_2=-4.26[/tex]
[tex]\\ \rm\bull\longmapsto x_2\approx 4[/tex]
How many bags of each cookie did Stephanie sell? How many total bags of cookies did she sell
In which relationship is the constant of proportionality 1/3?
Answer:
C
Step-by-step explanation:
y is proportional to x, and constant of proportionality is ⅓:
y = ⅓x
This rectangle has 9 straight Lines and 14 squares.
Can you find them?
Answer:two dimensional shapes
Step-by-step explanation:
What is 13 x 7? Show your work!
Answer:
91
Step-by-step explanation:
This is the answer, I took a pic of the work
Answer:
91
Step-by-step explanation:
2
13x
7
-------
9 1
7 X 3 = 21
7×1 =7
7+2 =8
8+1 = 9
WORTH 15 POINTS 15) The Feldmans bought their first house for $20,000. Over the years they moved three times into bigger and bigger houses. Now, 37 years later, they are ready to retire and want a smaller house like the first one they bought. If inflation in property values has averaged 3.7% per year during that time, how much will such a house cost them now? (Round your answer to the nearest dollar.) Show your work!!
!!!Need an answer ASAP!!! A right triangle has a hypotenuse of 16 and a leg of 9. find the length of the other leg.
Answer:1
Step-by-step explanation:√16 - √9=x
4-3=1
√1=1
solve for x x/12−1=−6
x=
Answer:
x=-5
Step-by-step explanation:
x/12-1=-6
12-1
x/11=-6
-11 -11
========
x=-5
Hope that helps
The odds in favor of an event are 2:9. What are the odds against the event?
Answer:
The odds against the event are 9:11.
Step-by-step explanation:
The odds being in favor and against an event are complemmentary, that is, their sum is 100% = 1.
The odds in favor of an event are 2:9.
So for each 2 times the event will happen, it wont happen 9 times, in a total of 2 + 9 = 11
So the odds against the event are 9:11.
Find the weight of one square in hanger a and the weight of a pentagon in hanger b
Answer:
the first and second M is undefined because we have no information to make an equation
hi what is the circumstances 3rd to be
Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 16 blue and 4 green beads. Based on these results, what is most likely the number of blue beads in the bag?
Answer:
The answer is 40 because you have a ratio of 4:1 (16:4). If you multiply by ten, it becomes 40:10.
Step-by-step explanation:
Answer:
30 red and 20 yellow as 9 bead and 6 bead is the ratio of 3:2 50 in the ratio of 3:2 is 30=red and 20=yellow
Step-by-step explanation:
d varies jointly as h and g. if d=15 when h= 14 and g=5, find g when h=21 and d=8
Answer:
g = 1.78
Step-by-step explanation:
Given that,
d varies jointly as h and g.
[tex]d=khg[/tex] .....(1)
Where
k is constant of proportionality.
Put d=15, h= 14 and g=5 in equation (1) to find k.
[tex]k=\dfrac{d}{hg}\\\\k=\dfrac{15}{14\times 5}\\\\k=\dfrac{3}{14}[/tex]
Now, put k = 3/14, h = 21 and d = 8 in equation (1) to find g.
[tex]g=\dfrac{d}{kh}\\\\g=\dfrac{8}{\dfrac{3}{14}\times 21}\\\\g=1.78[/tex]
So, the required value of g is 1.78.
melissa purchased a car at the price of 20,540 with a down payment of 3,900 and financed the rest paying 8.6% interest compounded monthly over a payment period of 5 years she also had to pay 8.25% sales tax a $955 registration fee and $57 documentation fee what is her monthly payment
Answer:
$478.06
Step-by-step explanation:
let's first start out by figuring out the present value of the loan
((20540*1.0825)+955+57)-3900
Which gives me a value of 23246.55
I'm then going to assume that the 8.6% is a nominal interest rate meaning that the effectively monthly rate is equal to .086/12=.0072
Which means we have
23246.55=X(a angle 60 at .0072) (i'm using annuities to solve this if you don't know what this is just ask)
Solve this and get $478.06
How much water do you add to make 12% sugar syrup using 5g sugar.
Answer:
You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then
5 g - 12%,
x+5 g - 100%.
mathematically you can write a proportion;
5/x+5=12/100
=>500=12(x+5)
,500=12x+60
,12x=400,
x=440/12
=110/3
=36 2/3g of water36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
5/5+x=12/100
Apply cross multiplication
5×100=12(5+x)
500=60+12x
Subtract 60 from both sides
440=12x
Divide both sides by 12
x=36.66
Hence, 36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ2
is square root of three a transcendental number
Answer:
no its an irrational number
Step-by-step explanation:
hope it helps im not 100%
b. A window in the room has an actual width of 2.5 feet.
Find the width of the window in the blueprint.
Answer:
Blueprint width of window = 1.5 in
Step-by-step explanation:
Missing;
Ratio model
3 in : 5 ft
Given:
Actual width of window = 2.5 feet
Find:
Blueprint width of window
Computation:
Blueprint width of window = Actual width of window x (3 in / 5 ft)
Blueprint width of window = 2.5 ft x (3 in / 5 ft)
Blueprint width of window = 1.5 in
Please help me ill mark brainless!! Have a great day :)
12)
If a roll of painter's tape contains 14 feet of tape, what is the maximum
number of 1.75-foot pieces that can be cut from the roll?
A)
6
B)
7
8
D)
10
Answer:
8
Step-by-step explanation:
on usatestprep 2021
7/8 as a division expression
Answer:
0.875
Step-by-step explanation:
Answer:
7/8 is 7 ÷8 =0.875
7=0.875/8
Or
8=o.875/7
y+7x+4(2x-6)+3y PLEASE ANSWER ASAP with work I would love if it was written in paper if not that's ok
Find the value of x, given that the triangles are similar. x = ?
Answer:
x = 15 over4 , y≈ 9.8 units
Step-by-step explanation:
Since triangles ABC and DEF are similar, their corresponding sides are in the same ratio.
hope this helps!
4y to the 7th power Over 28y to the 3rd power
Answer:
y^4 /7
Step-by-step explanation:
divide coefficients, subtract exponents
4y^7 ÷ 28y^3
4/28 = 1/7
y^7 / y^3 = y^4
1/7 · y^4 = y^4 / 7
Plz hurry it’s urgent Thank you
Answer:
C. There are no factors of 3 that add up to -15
Step-by-step explanation:
N/A
i have to find the missing, x/y values.
y=-2x-1
(4,y)
(x,1)
Answer:
x=1 y=-9
Step-by-step explanation:
plug the given x and y values into the equation
y=-2(4)-1
y=-8-1
y=-9
1=-2x-1
+1 +1
2=-2x
/2 /2
1=x
HELP ME PLSSSS I NEED HELP PLSSSS
Answer:
8.9 units
Step-by-step explanation:
Distance between (3, -2) and (7, 6) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].
Let,
[tex] (3, -2) = (x_1, y_1) [/tex]
[tex] (7, 6) = (x_2, y_2) [/tex]
Plug in the values
[tex] d = \sqrt{(7 - 3)^2 + (6 - (-2))^2} [/tex]
[tex] d = \sqrt{(4)^2 + (8)^2} [/tex]
[tex] d = \sqrt{16+ 64} [/tex]
[tex] d = \sqrt{80} = 8.9 [/tex] (nearest tenth)
Answer:
8 point 9
i know
