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3 years ago

An equivalent expression to a2/3

Mathematics

1 answer:

scoundrel [369]3 years ago

6 0

Answer:

4/6 6/9 8/12 10/15 and so on, just multiply both the numerator and denominator by the same number and get your answer.

Step-by-step explanation:

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Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh

a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let $\overline{x}$ and $\overline{y}$ be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume $\overline{x}$ having with mean $\mu_{1}$ and $\overline{y}$ having mean $\mu_{2}$

Also we have given the variance is constant

We can test hypothesis as

$H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}$

For this problem

Test statistic is

$T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}$

Where

$s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}$

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0

3 years ago

1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an exte

gregori [183]

Answer:

900 g

Step-by-step explanation:

let e be extension and w be weight

given e varies directly as w then the equation relating them is

e = kw ← k is the constant of variation

to find k use the condition w = 150 , e = 2.9 , then

2.9 = 150k ( divide both sides by 150 )

$\frac{2.9}{150}$ = k , that is

k = $\frac{29}{1500}$

e = $\frac{29}{1500}$ w ← equation of variation

when e = 17.4 , then

17.4 = $\frac{29}{1500}$ w ( multiply both sides by 1500 )

26100 = 29w ( divide both sides by 29 )

900 = w

3 0

2 years ago

Determine the value of x.<br> x feet<br> 14 feet<br> 48 feet

Citrus2011 [14]

Answer:50 feet

142+482=502

196+2304=2500

Step-by-step explanation:

6 0

2 years ago

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the

Roman55 [17]

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

$n = 9$ i.e. the length of each security numbers

$r = 2$ i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

$Total = 2^9$

$Total = 512$

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where $n>m$ , then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

$512 + 1 = 513$

8 0

3 years ago

The sum of Jessica and her father is 42. If her father is 5 times her age, find the age of Jessica

Nostrana [21]

Answer:

8 and a half

Step-by-step explanation:

you will divide 42 and the 5

8 0

2 years ago

Read 2 more answers