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3 years ago

Correct answers only please! I only have two attempts on this assignment.

Mathematics

1 answer:

MrRa [10]3 years ago

7 0

Hello!

Normally, the first thing to see here is the circumference of the tires. The circumference of the tire is the diameter * pi. Therefore, the circumference of the 25 inch diameter tire is 25pi, and 28pi for the other. However, in this case, this doesn't matter, as the ratio of 25pi : 28pi is the same as 25 : 28. Therefore, we can just work with the numbers 25 and 28.

Let's first calculate how many times his tire spun. If the odometer shows he traveled 1000 miles, this is how many times the tire spun based off of the tire with the circumference of 25 inches. To increase this, multiply 1000 by 28/25, as that is how much the wheels increased.

1000 * (28/25) = 1120

Therefore, your answer is 1,120 miles.

Hope this helps!

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2 years ago

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An account earns simple interest.

olasank [31]

Data:
P (Principal) = $1500
I (Simple Interest) = ?
t (time) = 5 years
r (percentage rate) = 4% = 0.04

Formula:
$I = P*r*t$

Solving (1) <span>Find the interest earned.</span>
$I = P*r*t$
$I = 1500*0.04*5$
$\boxed{\boxed{I = 300}}\end{array}}\qquad\quad\checkmark$

Solution (2) <span>Find the balance of the account.
</span>The future value, (Account), of a loan is given by the equation: A = P + I
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$A = 1500 + 300$
$\boxed{\boxed{A = 1800}}\end{array}}\qquad\quad\checkmark$

3 0

3 years ago

Given that segment AB is tangent to the circle shown in the diagram centered at point C, determine the value of x

Ulleksa [173]

Answer:

Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

$hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}$

Substituting our given data and solving for hpy we have

$hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37$

hence x= 37

5 0

3 years ago

Fifty draws are made at random with replacement from the box [ 0 0 1 1 1]. There are 33 ticket 1’s among the draws. The expected

Aleks04 [339]

Answer:

- The Expected value for the sum is 30.

- The Observed sum of 50 draws is 33.

- The Chance Error on the 50 draws is 3.

- The Standard Error on 50 draws is 2.191.

Step-by-step explanation:

The box contains [0, 0, 1, 1, 1]

Using probability to predict the expected outcome.

On one draw, the probability of drawing a 0 is (2/5).

And the probability of drawing a 1 is (3/5).

Probability mass function would look like

X | P(X)

0 | 0.40

1 | 0.60

So, expected value on one draw would be

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (0×0.40) + (1×0.60) = 0.60.

Standard error on one draw = √[Σ(xᵢ - μ)²/N]

μ = E(X) = 0.60

Σ(xᵢ - μ)² = (0 - 0.60)² + (0 - 0.60)² + (1 - 0.6)² + (1 - 0.6)² + (1 - 0.6)² = 1.20

SE = √(1.2/5) = 0.490

So, for 50 draws (with replacement),

E(50X) = 50E(X) = 50 × 0.60 = 30.

For 50 draws, standard error = √50 × 0.490 = 2.191

The expected value for the sum = 30

The observed valued for the sum = (33×1) + (17×0) = 33

Chance Error = (Observed Outcome) - (Expected Outcome) = 33 - 30 = 3

Standard error gives an idea of how large the chance error would be.

Standard error on 50 draws = 2.191

Hope this Helps!!!

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3 years ago

Solve the equation.<br> -2/3 (x + 3/5) = 1/2<br><br><br><br> x=

Rom4ik [11]

−
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20

6 0

3 years ago