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GarryVolchara [31]
3 years ago
11

A student calculates the density of an unknown solid. The mass is 10.04

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

Answer:

D=1.22g/cubic cm

Step-by-step explanation:

D=M/V

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Given the function rule f(x) = x2-5x+q what is the output of f (-3)
sammy [17]
F(x) = (-3)2 - 5(-3) + q
= -6 + 15 + q
= 9 + q
6 0
3 years ago
Which point is collinear with points E and Y?
kobusy [5.1K]

Answer:

G

Step-by-step explanation:

Co linear means that a point is on the same line as some given point.

AY forms a line segment and is part of EG which is a diagonal of the base..

Therefore AY and G are all colinear. The answer you want is G.

7 0
3 years ago
A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist
sattari [20]

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

4 0
3 years ago
The sum of the squares of two consecutive positive integers is 41. Find the two
Komok [63]

We have to present the number 41 as the sum of two squares of consecutive positive integers.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

16 + 25 = 41

<h3>Answer: 4 and 5</h3>

Other method:

n, n + 1 - two consecutive positive integers

The equation:

n² + (n + 1)² = 41     <em>use (a + b)² = a² + 2ab + b²</em>

n² + n² + 2(n)(1) + 1² = 41

2n² + 2n + 1 = 41     <em>subtract 41 from both sides</em>

2n² + 2n - 40 = 0     <em>divide both sides by 2</em>

n² + n - 20 = 0

n² + 5n - 4n - 20= 0

n(n + 5) - 4(n + 5) = 0

(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0

n = -5 < 0 ∨ n = 4 >0

n = 4

n + 1 = 4 + 1 = 5

<h3>Answer: 4 and 5.</h3>
7 0
3 years ago
The marked price of a tablet is €800. During a sale its sold at €640. This means one saves €160 during the sale
ArbitrLikvidat [17]

Answer:

c. $28.84

Step-by-step explanation:

C 28.84 just multiply 38.45 by .25 then you should get 9.6125 you subtract 38.45 by 9.6125 and get 28.84

3 0
2 years ago
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