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3 years ago

During the 2005 football season, Team Tackle beat Team Sack by

Mathematics

1 answer:

liraira [26]3 years ago

5 0

T=s+14
T+s=82
(s+14)+s=82
2s+14=82
s=34
t+48

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The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assu

m_a_m_a [10]

Answer: 0.0170

Step-by-step explanation:

Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.

i.e. $\mu=23.50$

$\sigma=5$

We assume the distribution of amounts purchased follows the normal distribution.

Sample size : n=50

Let $\overline{x}$ be the sample mean.

Formula : $z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

Then, the probability that the sample mean is at least $25.00 will be :-

$P(\overline{x}\geq\25.00)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\geq\dfrac{25-23.50}{\dfrac{5}{\sqrt{50}}})\\\\=P(z\geq2.12)\\\\=1-P(z$

Hence, the likelihood the sample mean is at least $25.00= 0.0170

5 0

3 years ago

This is a double question. Part 1: 5(2x - 4) = 30. Solve for x Part 2: 5x + 3 - x + 2 = 41. Solve for x. I will mark Brainliest

Ainat [17]

Answer:

see below

Step-by-step explanation:

Part 1: 5(2x - 4) = 30.

Distribute

10x -20 = 30

Add 20 to each side

10x-20+20 =30+20

10x = 50

Divide by 10

10x/10 = 50/10

x =5

Part 2: 5x + 3 - x + 2 = 41

Combine like terms

4x +5 = 41

Subtract 5 from each side

4x+5-5 = 41-5

4x = 36

Divide by 4

4x/4 = 36/4

x = 9

3 0

3 years ago

Read 2 more answers

Solve this inequality and show the result on a number line.

MariettaO [177]

$\\ \bull\tt\longmapsto 5(x-2)\geqslant 4(x-2)$

$\\ \bull\tt\longmapsto 5x-10\geqslant 4x-8$

$\\ \bull\tt\longmapsto 5x-4x\geqslant -8+10$

$\\ \bull\tt\longmapsto x\geqslant 2$

x is either 2 or greater than 2.

8 0

2 years ago

Read 2 more answers

What is the domain and range for the following function and its inverse?

Basile [38]

Answer:

"f(x)

domain: all real numbers, range: all real numbers

f–1(x)

domain: all real numbers, range: all real numbers"

Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function, domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

4 0

3 years ago

If you flip three fair coins, what is the probability that you’ll get two tails and one head in any order?

siniylev [52]

Step-by-step explanation:

1/ 3 is the probability of getting one head

3 0

3 years ago

During the 2005 football​ season, Team Tackle beat Team Sack by

During the 2005 football season, Team Tackle beat Team Sack by