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2 years ago

5

Mathematics

1 answer:

velikii [3]2 years ago

6 0

Answer:

5. 5 cm 6. 4 km

Step-by-step explanation:

4/5= $\frac{4}{5}$

1cm= $\frac{4}{5}$ km

4/5*5=4

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Using a 16-sided number cube, what is the probability that you will roll a multiple of 4 or an odd prime number? The number 1 is

iogann1982 [59]

<h3>Answer: 0.563 (choice C)</h3>

================================================

Explanation:

E = event space

E = set of outcomes we want to happen

E = rolling a multiple of 4 or rolling an odd prime number

E = {4,8,12,16 3,5,7,11,13}

n(E) = number of items in set E

n(E) = 9, (four multiples of 16+five ways to roll odd prime number)

-----

S = sample space

S = set of all possible outcomes (whether we want them to happen or not)

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}

n(S) = number of items in set S

n(S) = 16

-----

P(E) = probability of event space occurring

P(E) = probability of rolling a multiple of 4 or rolling an odd prime number

P(E) = n(E)/n(S)

P(E) = 9/16

P(E) = 0.5625

P(E) = 0.563

3 0

2 years ago

shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. she computed two of the residual v

Delvig [45]

<span>The question asks us to determine the values for a and b in the linear equation. Linear equation in the slope-intercept form is : y = a x + b. This equation is: y = 2.25 x - 3.15. The slope: a = 2.25 and the y-intercept is: b = -3.15. Answer: a = 2.25 and b = - 3.15.</span>

8 0

2 years ago

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The equation of a circle is (x + 12)2 + (y + 16)2 = (r1)2, and the circle passes through the origin. The equation of the circle

Furkat [3]

For an equation to pass through the origin, (0,0) must be a solution of the equation. So, for the first one,

$(x + 12)^{2} + (y + 16)^{2} = r_{1}^{2}$

(0, 0) must satisfy the equation and we can solve for the value of r₁ as shown below.

$(0 + 12)^{2} + (0 + 16)^{2} = r_{1}^{2}$
$12^{2} + 16^{2} = r_{1}^{2}$
$r_{1} = \sqrt{12^{2} + 16^{2}}$
$r_{1} = 20$

Since the second equation of the circle also passes through the origin, we use the same steps from the first one.

$(0 - 30)^{2} + (0 - 16)^{2} = r_{2}^{2}$
$r_{2} = \sqrt{30^{2} + 16^{2}}$
$r_{2} = 34$

Thus, we have the values for r₁ and r₂ as 20 and 34, respectively.

Answer: r₁ = 20 and r₂ = 34

7 0

2 years ago

During his science experiment, Yuri measured the temperature of a water sample as 24 degrees Celsius. To determine the temperatu

mr Goodwill [35]

Answer:

75.2 degrees Fahrenheit

Step-by-step explanation:

F = StartFraction 9 Over 5 EndFraction C + 32

Substitute 24 for C.

Multiply the value of C by StartFraction 9 Over 5 EndFraction before adding 32.

24 Degrees Celsius is 75.2 Degrees Fahrenheit.

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2 years ago

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The formula for determining the frequency, f, of a note on a piano is f=440(2)^h/12 where h is the number of half-steps from the

quester [9]

Answer:

i think it is c

Step-by-step explanation:

6 0

2 years ago

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