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zaharov [31]
3 years ago
5

Simplify and Explain. 5! / 2!

Mathematics
1 answer:
mezya [45]3 years ago
5 0
Given that 5! Is 5x4x3x2x1, and 2! Is 2x1, when dividing 5! By 2!, it remains 5x4x3=60 when simplifying 2x1 in both numerator and denominator
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Consider the following hypothesis test:H0: 20Ha: < 20A sample of 60 provided a sample mean of 19.6. The population standard d
elixir [45]

Answer:

a: z = -1.936

b: 0.0265

d: z < -1.645

Reject H0 if z < -1.645

Step-by-step explanation:

We are given:

H0:  µ = 20

HA:  µ < 20

n = 60, sample mean: 19.6, σ = 1.6

Since the alternate hypothesis has a < sign in it, it is a left tailed test.  The < or > sign in the alternate hypothesis points towards the rejection region.

For a:  We need to calculate the test statistic for our situation.  This is done with a z-score formula for samples.  

For b:  we need to use the z-score table to look up the p-value for the score we calculate in part a.  The p-value is 0.0265.  This means that there is only about a 2.65% chance that the sample values were a result of random chance.

For d:  Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645.  This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis

See attached photo for all the calculations!

4 0
3 years ago
Help please<br>working too please!!!!.?​
Alenkinab [10]

Step-by-step explanation:

(1) 4mn × 6mp × 3mnp

= 4 × 6 × 3 ( mn × mp × mnp)

= 72 × (m³n²p²)

72m³n²p²

sorry, I'm busy, won't be able to complete it

3 0
3 years ago
The ratio of a rectangle's length to its width is 2:1. if the length is 14cm long what is the width
Anna11 [10]
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7

The width is 7 cm
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erica [24]
Each shirt cost $18.75
4 0
3 years ago
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t
vlabodo [156]

Answer:

300 Backpacks each week]

Step-by-step explanation:

dont have an explanation srry but the answer is totally 300 backpacks a week

4 0
3 years ago
Read 2 more answers
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