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lara31 [8.8K]
3 years ago
12

A spinner has 3 sections colored red, yellow, and blue. The probabilities of the spinner landing on red and yellow or 0.25 and 0

.5. Predict the number of times the spinner will land on blue after 150 spins.
Mathematics
1 answer:
JulijaS [17]3 years ago
5 0
It would be 37.5 times, which rounded up would be about 38 because blue would be .25 of the spinner, so you would expect it to land on blue 25% of the time. Hope this helps!!
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Does anyone know how to do this?
sineoko [7]

Answer:

\boxed{\tt x=\sqrt{85} }

Step-by-step explanation:

When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"

To find the distance we can use the Pythagorean theorem.

\boxed{{\tt a^2+b^2=c^2}}

→ \tt a=9

→ \tt b=2

→ \tt c=x

<u>Let's Plug in the side lengths:</u>

  • \tt 9^2+2^2=x^2

<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>

  • \tt 81+4=x^2

<u>Now, add 81+4= 85</u>

  • \tt 85=x^2

<u>Take the square root of both sides:</u>

  • \tt x=\sqrt{85}

_____________________________

5 0
3 years ago
1.
Reil [10]

Answer:

150

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360.  Let x be the unknown angle

30+70+110+x = 360

Combine like terms

210 +x = 360

Subtract 210 from each side

210+x-210 = 360-210

x = 150

6 0
2 years ago
Read 2 more answers
Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c
Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount  she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

A=P+SI

SI=\frac{P\times r\times t}{100}

Plugging the values we get:

SI=\frac{2000\times 4\times 7}{100}=560.00

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

\$2000.00+\$560.00=\$2,560.00

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

6 0
3 years ago
Of the sundaes recently sold at Ice Cream Haven, 4 had nuts and 20 did not. Considering this
Svetlanka [38]
4/24= 1/6
(1/6)*84= 14 had nuts

20/24= 5/6
(5/6)* 84 = 70 no nuts
4 0
3 years ago
What are the possible numbers of positive, negative, and complex zeros of f(x) = 3x4 − 5x3 − x2 − 8x + 4?
Scorpion4ik [409]

Answer:

Two positive zeros, no negative zeros, two complex roots.

Step-by-step explanation:

The given function is f(x)=3x^4-5x^3-x^2-8x+4

According to the fundamental theorem of algebra, the function will have 4 roots.

The graph of the function intersects the positive axis at two points.

Hence the function has two positive zeros and no negative zeros.

The two remaining roots are imaginary. The function has two complex zeros.

See graph in attachment

3 0
3 years ago
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