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vitfil [10]
3 years ago
14

There are fewer than 30 students in the A-level mathematics class. One half of them

Mathematics
1 answer:
masya89 [10]3 years ago
7 0

The number of students that play hockey is 7

The proportion is given as:

Piano =\frac 12

Hockey =\frac 14

School\ Play =\frac 17

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

Hockey =\frac 14 \times 28\\

Multiply

Hockey =7

Hence, 7 students play hockey

Read more about common multiples at:

brainly.com/question/290451

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lfador produces gear for a racquetball league. It costs him S0.005 per square centimeter to racquetballs for the league. In the
kotegsom [21]

Answer:

out estimation is underestimate when we increase the cost.

Step-by-step explanation:

Given diameter of the racquetballs (x)= 4 cm

New diameter = 4.05 cm

Therefore, change in diameter ( Δ x) = 0.05.

Cost Function of x diameter of 30,000 racquetballs at the rate 0.005 per square centimeter

C(x) = 30000 × 0.005 × S/4

C(x) = 150 × S/4 = 37.5 × S.

We are given S = π r^2

Therefore,

C(x)= 37.5 π r^2.

C(4) = 37.5 *π*(4)^2 = 37.5 π*16

C (4+0.05) = 37.5 *π*(4.05)^2 = 37.5 * π * 16.4025.

Finding first derivative of cost function, we get

C'(x) = 2 * 37.5 * π r = 75 π r

C(4) = 75 * π * 4 = 300 π

We know,

Δ C(x)/ Δ x = C'(x).

Plugging value of Δ x and x

Δ C(4) = Δ x * C '(4) = 0.05 * 300 π = 15 π = 15 * 3.141 = 47.12.

We also know

Δ C(x) = C(x+Δx) - C(x) = (37.5 * π * 16.4025) - (37.5 π*16) = 37.5 π (16.4025 -16)

                            = 37.5 π(0.4025)

                            = 37.5 * 3.14 * 0.4025

                            = 47.42.

We can see that 47.42 is greater than 47.12.

Therefore, out estimation is underestimate when we increase the cost.

4 0
4 years ago
Which of these is a two-step equation?<br> A.X+ 9 = 21<br> B.x= 11+2<br> C.2x + 9 = 21<br> D.x/3 = 9
inysia [295]
The answer would be C
2x + 9 = 21
1. 2x = 12
2. x = 6
4 0
3 years ago
Read 2 more answers
A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underw
zepelin [54]

Answer:

(1)0.0138

(2)A. If the depth of the dive is increased by one meter, it adds 0.0138 minutes to the time spent under water.

Nos 3-12: See Explanation

Step-by-step explanation:

Given the regression equation for the relation of dive duration (DD) to depth (D).

DD = 2.69 + 0.0138D\\$Where: Duration DD is measured in minutes\\epth D is in meters.

(1)The slope of the regression lie =0.0138

(2)

When D=1, DD = 2.69 + 0.0138(1)=2.7038

When D=2, DD = 2.69 + 0.0138(2)=2.7176

2.7176-2.7038=0.0138

Therefore, If the depth of the dive is increased by one meter, it adds 0.0138 minutes to the time spent under water.

(3) When depth, D =200 meters

DD = 2.69 + 0.0138(200)=5.45 Minutes

(4) When depth, D =210 meters

DD = 2.69 + 0.0138(210)=5.588 Minutes

(5) When depth, D =220 meters

DD = 2.69 + 0.0138(220)=5.726 Minutes

(6) When depth, D =230 meters

DD = 2.69 + 0.0138(230)=5.864 Minutes

(7) When depth, D =240 meters

DD = 2.69 + 0.0138(240)=6.002 Minutes

(8) When depth, D =150 meters

DD = 2.69 + 0.0138(150)=4.76 Minutes

(9) When depth, D =160 meters

DD = 2.69 + 0.0138(160)=4.898 Minutes

(10) When depth, D =170 meters

DD = 2.69 + 0.0138(170)=5.036 Minutes

(11) When depth, D =180 meters

DD = 2.69 + 0.0138(180)=5.174 Minutes

(12) When depth, D =190 meters

DD = 2.69 + 0.0138(190)=5.312 Minutes

7 0
3 years ago
Could someone explain this problem to me? ​
Leviafan [203]
Substitute x with the values given. In this case, 3 and -7.
4 0
3 years ago
Read 2 more answers
Answer plz very easy ​
lisabon 2012 [21]

Answer:

-12

Step-by-step explanation:

-3 plus -3 plus -3 plus -3 equals -12

8 0
4 years ago
Read 2 more answers
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