All categories

3 years ago

2. You spin a spinner that has eight equal-sized sections numbered one to eight. Which event is

Mathematics

1 answer:

hodyreva [135]3 years ago

6 0

Answer:

Getting a multiple of 5 is the least likely outcome.

Step-by-step explanation:

We spin a spinner that has 8 equal-sized sections numbered 1 - 8.

We have to find which is the least likely to occur.

The number is even when outcomes are 2,4,6 or 8.

Number of outcomes = 4

If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.

If the number is greater than 3 , number of possible outcomes is 5 which are 4,5,6,7 and 8.

If the number is a multiple of 5, only 1 outcome is there which is 5 itself.

Hence getting a multiple of 5 is the least likely outcome.

You might be interested in

Write the missing base, 64=x^2.

Alja [10]

The answer are 8
2
3/4
3
9

3 0

2 years ago

Max can type 160 words in 5 minutes. How long would it take him to type 400 words? * A. 12.50 minB. 13 minC. 10.50 minD. 12 min

blagie [28]

To find how long it would take him, one has to divide 400 by 160 and then multiply 5 by what that number is. You multiply 5 by the quotient because that is the number that would make it proportional. 400/160 x 5 is 12.5, meaning that the answer is 12.5 minutes, or A.

5 0

2 years ago

Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

8 0

3 years ago

Use the data in LAWSCH85 for this exercise. (i) Using the same model as in Problem 4 in Chapter 3, state and test the null hypot

natka813 [3]

Answer:

Step-by-step explanation:

In the model

Log (salary) = B0 + B1LSAT +B2GPA +B3log(libvol) +B4log(cost)+B5 rank+u

The hypothesis that rank has no effect on log (salary) is H0:B5 = 0. The estimated equation (now with standard errors) is

Log (salary) = 8.34 + .0047 LSAT + .248 GPA + .095 log(libvol)

(0.53) (.0040) (.090) (.033)

+ .038 log(cost) – .0033 rank

(.032) (.0003)

n = 136, R2 = .842.

The t statistic on rank is –11(i.e. 0.0033/0.0003), which is very significant. If rank decreases by 10 (which is a move up for a law school), median starting salary is predicted to increase by about 3.3%.

(ii) LSAT is not statistically significant (t statistic ≈1.18) but GPA is very significance (t statistic ≈2.76). The test for joint significance is moot given that GPA is so significant, but for completeness the F statistic is about 9.95 (with 2 and 130 df) and p-value ≈.0001.

6 0

3 years ago

9. A cup of tea costs x pence. Coffee costs 20 pence more. Hermes buys 2 cups of tea and one cup of coffee. In total Hermes pays

qaws [65]

Answer:

£1.20

Step-by-step explanation:

<u>Given:</u>

Tea = x
Coffee = x + 0.2

<u>Comparing the total cost, work out the value of x:</u>

2x + x + 0.2 = 3.80
3x = 3.60
x = 1.20

5 0

2 years ago