Miguel owns 4 types of sport socks and 2 pairs of running shoes , how many combinations of socks and shoes does he have ?

A.)12 <br> B.) 25<br> C.)51<br> D.) 77

givi [52]

Answer:

4x+3=2x+27

4x-2x=27-3

2x=24

x=24/2

x=12

3 0

2 years ago

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3) The table below shows the number of cups of ginger

JulijaS [17]

So column A needs to all be the same multiples of 4 so 4•3 is 12 and so other multiples need to be placed

3 0

3 years ago

The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they

sukhopar [10]

Answer:

From the result of the one-tailed z-test, we can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Step-by-step explanation:

Sample size = 50

Mean waiting time = 13 minutes

Standard deviation = 11 minutes

We need to perform one hypothesis test that the actual mean waiting time turned out to be significantly less than the 15-minute claim made by the taxpayer advocate.

The null hypothesis would be that there is no significant difference.

H₀: μ₀ = 15 minutes

The alternative hypothesis would be that the mean waiting time is indeed significantly less than the 15-minute claim by the taxpayer advocate.

Hₐ: μ₀ < 15 minutes.

This is evidently a one tail hypothesis test (we're investigating only in one direction; less than the claim). Hence, we can use the z-test

z = (x - μ)/σₓ

σₓ = (σ/√n) = (11/√50) = 1.556

z = (13 - 15)/1.556 = - 1.29

Using the z-table at significance level of 0.05.

p-value = 1 - 0.9115 (from the z-tables)

p-value = 0.0885

Since the p-value is more than the significance level (0.0885 > 0.05), we do not reject the null hypothesis.

Hence, we accept the null hypothesis and can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Hope this Helps!!!

4 0

3 years ago

How do I write 974 in expanded form

igor_vitrenko [27]

Here is 974 in expanded form
900+70+4 =974

8 0

3 years ago

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Prove that if two lines intersect each other then the vertically opposite angles are equal.

Svetradugi [14.3K]

If two lines intersect each other then the vertically opposite angles are equal.

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

To prove, two lines intersect each other then the vertically opposite angles are equal.

Suppose there are two lines AB and CD intersecting at a point O.

So, the angles a and c ; b and d are vertically opposite.

Now taking line AB,

Since sum of angles made on a straight line is 180°.

Thus ∠a + ∠b = 180° ...(i)

Similarly taking line CD,

∠b + ∠c = 180° ....(ii)

Comparing eq (i) and (ii) we get,

∠a + ∠b = ∠b + ∠c

Therefore, we get

∠a = ∠c

which are vertically opposite angles.

Taking line CD,

Since sum of angles made on a straight line is 180°.

Thus ∠c + ∠b = 180° ...(iii)

Similarly taking line CD,

∠c + ∠d = 180° ....(iv)

Comparing eq (iii) and (iv) we get,

∠c + ∠b = ∠c + ∠d

Therefore, we get

∠b = ∠d

which are vertically opposite angles.

Thus, if two lines intersect each other then the vertically opposite angles are equal.

To learn more about angles:

brainly.com/question/11337367

#SPJ4

7 0

2 years ago