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REY [17]
3 years ago
12

If 42.8 kg is divided in the ratio 7:2, what is the smaller share?

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0
<span>The smaller share is equal to 9.51 rounded to 2 decimal places. 
</span>
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What will it cost to carpet a rectangular floor measuring 9 feet by 21 feet if the carpet costs $30.82 per square yard?
Gre4nikov [31]

answer is $5,824.98

Step-by-step explanation:

I am 90% sure

6 0
3 years ago
A survey of 500 likely voters showed that 385 felt that the economy was the most important national issue. Find a point estimate
Dovator [93]

Answer:

Option B

Step-by-step explanation:

Given that a survey of 500 likely voters showed that 385 felt that the economy was the most important national issue.

Sample size n = 500

favor who feel the ecomomy is the most important national issue x= 385

Sample proportion = \frac{x}{n} \\=0.77

Sample proportion would be the point estimate for population proportion of voters who feel the ecomomy is the most important national issue.

Hence the point estimate (p-hat0 for p, the population proportion of voters who feel the ecomomy is the most important national issue

is 0.77

(option B)

4 0
3 years ago
What is the volume of a sphere with a diameter of 43.5 cm, rounded to the nearest tenth of a cubic centimeter?
Akimi4 [234]

Answer

= 43098.92

Step-by-step explanation:

Good luck

i solved and got that

7 0
4 years ago
What is the probability of drawing a 3 or a 4 or a heart from a deck of cards?
Effectus [21]
\Omega=\{2\spadesuit;\ 3\spadesuit;...;A\spadesuit;2\heartsuit ;\ 3\heartsuit;...;A\heartsuit;\ 2\diamondsuit;\ 3\diamondsuit;...;A\diamondsuit;\ 2\clubsuit;\ 3\clubsuit;...;A\clubsuit\}\\\\|\Omega|=52\\\\A=\{3\spadesuit;\ 4\spadesuit;\ 3\diamondsuit;\ 4\diamondsuit;\ 3\clubsuit;\ 4\clubsuit;\ 2\heartsuit;\ 3\heartsuit;\ 4\heartsuit;...;A\heartsuit\}\\\\|A|=2+2+2+13=19\\\\P(A)=\dfrac{|A|}{|\Omega|}\to P(A)=\dfrac{19}{52}

Answer:\ \dfrac{19}{52}
5 0
4 years ago
Please help asap!!!
sp2606 [1]

Answer:

y=\frac{1}{6} (x+5)^2-4.5

y=\frac{-1}{20} (x-10)^2+1

Step-by-step explanation:

focus at (-5, -3), and directrix y = -6

Directrix y=-6 so its  a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

(h,k) is the center

P is the distance between focus and vertex

distance between focus and directrix = 2p

distance between -3  and y=-6 is 3

2p = 3

p = 3/2 or p = 1.5

Focus is (h, k+p)

given focus is (-5, -3) so h= -5  and k+p = -3

k+p=-3, plug in 1.5 for p

k + 1.5 = -3

subtract 1.5 on both sides

k = -4.5

(x-h)^2 = 4p(y-k)

(x+5)^2= 4(1.5) (y+4.5)

(x+5)^2= 6(y+4.5)

divide by 6 on both sides

then subtract 4.5 on both sides

y=\frac{1}{6} (x+5)^2-4.5

focus at (10, -4), and directrix y = 6.

Directrix y=6 so its  a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

distance between focus and directrix = 2p

distance between -4  and y=6 is -4-6=-10

2p = -10

p = -5

Focus is (h, k+p)

given focus is (10, -4) so h= 10  and k+p = -4

k+p=-4, plug in 5 for p

k - 5 = -4

add 5 on both sides

k = 1

(x-h)^2 = 4p(y-k)

(x-10)^2= 4(-5) (y-1)

(x-10)^2= -20(y-1)

divide by -20 on both sides and add 1 on both sides

y=\frac{-1}{20} (x-10)^2+1


8 0
3 years ago
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