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choli [55]
3 years ago
15

Last year, Eric grew 48 tomatoes in his garden. This year, he grew 7/8 of that number of tomatoes in his garden. Which statement

is true?
A. Eric grew 7 times the number of tomatoes this year that he grew last year
B. Eric grew slightly fewer tomatoes this year than he did last year
C. Eric grew 8 times the number of tomatoes this year that he grew last year
D. Eric grew half as many tomatoes this year as he grew last year
Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
The answer is B because he grows less, not more, and 7/8 is greater than 1/2
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Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event
enot [183]

Answer:

P(x < 3) = 25\%

E(x) = 3

Step-by-step explanation:

The given parameters can be represented as:

\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}

Solving (a): P(x < 3)

This is calculated as:

P(x < 3) = P(x = 0) + P(x = 1) + P(x =2) ----- i.e. all probabilities less than 3

So, we have:

P(x < 3) = 5\% + 5\% + 15\%

P(x < 3) = 25\%

Solving (b): Expected number of events

This is calculated as:

E(x) = \sum x * P(x)

So, we have:

E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%

E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%

E(x) = 340\%

Express as decimal

E(x) = 3.40

Approximate to the nearest integer

E(x) = 3

3 0
3 years ago
Use the ruler to measure the length of Line segment R S to the nearest centimeter.
Over [174]

Answer:

Length of the line segment RS is, 18 cm.

Step-by-step explanation:

Two points are drawn on a ruler. Point R is located at 8 cm and Point S is located at 26 cm.

So, length of the line segment RS is,

(26 - 8) cm\

= 18 cm

We know that on a ruler if two points A and B are at a cm and b cm respectively, then, length of AB

= AB = \mid b - a \mid cm .

5 0
3 years ago
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notsponge [240]

Answer:

157.08

Step-by-step explanation:

Use the formula for volume of a cone: V = \pi r^{2} \frac{h}{3}

6 0
3 years ago
Write an equation of a line with the given slope and y-intercept (8,1)m=-1/2
Ganezh [65]
Slope intercept form is y=mx+b 
first plug in m
y=-1/2X + b 
 now plug in the point (8,1) for the x and the y
1=-1/2(8) + b

now you need to solve for b
simplify
1=-4+ b
add 4
5=b

now that you know b
you can plug it into the equation along with the m

so the answer is 
y=-1/2X + 5

5 0
3 years ago
A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 5
Strike441 [17]

Answer:

the water level increases at a rate of 1.718 m/min when the depth is 4 m

Step-by-step explanation:

the volume of the pyramid is

V = (1/3)(height)(area of base) = 1/3 H*L²

For the diagonal in the pyramid

tg Ф = Side Length/ Height = L / H = x / h

where h= depth of water , x= side of the corresponding cross section

therefore x= L *h/H

the volume of the water is

v= 1/3 h*x² = 1/3 (L/H)² h³

in terms of time

v = Q*t

then

Q*t = 1/3 (L/H)² h³

h³ = 3*(H/L)² *Q *t

h = ∛(3*(H/L)² *Q *t) = ∛(3*(H/L)² *Q) *∛t = k* ∛t , where k=∛(3*(H/L)² *Q)

h = k* ∛t

then the rate of increase in depth is dh/dt

dh/dt = 1/3*k* t^(-2/3)

since

t = (h/k)³

dh/dt = 1/3*k* t^(-2/3) = 1/3*k* (h/k)³ ^(-2/3)  = 1/3*k* (h/k)^(-2) = 1/3 k³ / h²

=  1/3 (3*(H/L)²*Q) / h²  = (H/L)²*Q /h²

dh/dt= [H/(h*L)]²*Q

replacing values, when h=4m

dh/dt= [H/(h*L)]²*Q  = [5m/(4m*2m)]² * (3m³/min)= 1.718 m/min

8 0
3 years ago
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