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2 years ago

11

Beth added 1 1/4 pounds of fruit to a fruit basket Her son took 2 3/8 pounds of fruit out of the basket What was the total chang

e in pounds of fruit in the fruit basket?

1 answer:

WARRIOR [948]2 years ago

7 0

In total 1.125 pounds were removed from the basket

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Harry worked 7 hours last week this is one third as many hours as Aiden work how many hours did Aiden work

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2 years ago

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2 years ago

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2 years ago

A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5. What is th

enot [183]

Answer:

The probability of selecting a sample mean of 13 or larger from this population is 0.0228

Step-by-step explanation:

A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5.

$n = 49$

$\mu = 12$

$\sigma = 3.5$

We are supposed to find the probability of selecting a sample mean of 13 or larger from this population i.e. $P(x\geq 13)$

$Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$Z=\frac{13-12}{\frac{3.5}{\sqrt{49}}}$

Z=2

Refer the z table

$P(Z$

$P(x\geq 13)=1-P(Z$

Hence the probability of selecting a sample mean of 13 or larger from this population is 0.0228

6 0

2 years ago

Find the solutions of 6(2-7x)+x(7x-2=0)

azamat

$6(2-7x)+x(7x-2)=0$

Use distributive property: a(b - c) = ab - ac

$(6)(2)-(6)(7x)+(x)(7x)-(x)(2)=0\\\\12-42x+7x^2-2x=0\\\\7x^2-44x+12=0\\\\7x^2-42x-2x+12=0\\\\7x(x-6)-2(x-6)=0\\\\(x-6)(7x-2)=0\iff x-6=0\ \vee\ 7x-2=0\\\\x-6=0\ \ \ |+6\\\\x=6\\\\7x-2=0\ \ \ |+2\\\\7x=2\ \ \ |:7\\\\x=\dfrac{2}{7}$

Answer:\ $x=6\ \vee\ x=\dfrac{2}{7}$

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2 years ago