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3 years ago

6

twenty-five percent of teachers at elway middle school assigned homework for this weekend. if 7 teachers assigned homework this

weekend, how many teachers work at elway middle school

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

28

Step-by-step explanation:

25 percent of teachers are 7 teacher

100 percent of teachers are X teachers

Do crisscross to get Z

100x7=25X

—> X= (700)/25= 28

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Log_{7 }(5 - 3x)<br>Find the derivative

V125BC [204]

Let <em>y</em> be the expression you want to differentiate:

$y=\log_7(5-3x) \implies 7^y=5-3x$

Now,

$7^y=e^{\ln(7^y)}=e^{y\ln(7)}$

Use the chain rule to differentiate both sides with respect to <em>x</em> :

$\ln(7)e^{y\ln(7)}\dfrac{\mathrm dy}{\mathrm dx}=-3$

Solve for d<em>y</em>/d<em>x</em> :

$\ln(7)7^y\dfrac{\mathrm dy}{\mathrm dx}=-3$

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac3{\ln(7)7^y}$

$\dfrac{\mathrm dy}{\mathrm dx}=\boxed{-\dfrac3{\ln(7)(5-3x)}}$

6 0

3 years ago

A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.7 in. The survey also

mylen [45]

Answer:

A) There is a 100% chance of meeting the height requirement for women.

B) There is a 99.89% chance of meeting the height requirement for men.

C) New height requirements are:

71.9 inches for men and 58.9 inches minimum for women.

At least 58.9 inches and at most 71.9 inches.

Step-by-step explanation:

This question involves finding z values which tell us the percentage from 0 to x.

z = (x-μ)/σ

A) In this question, the minimum sample point is 4 ft 9 inches or converting to inches, we have;(4*12) + 9 =57 inches.

The maximum sample point is 6 ft 4 inches which in inches gives; (6*12) + 4 = 76 inches

For the minimum point;

z = (57 - 63.3)/2.7 = -2.33

From the z-distribution table, this equates to 0.0099.

The maximum;

z = (76 - 63.3)/2.7 = 4.70

From the z-table, it gives 0.999.. Basically 100%.

So there is a 100% chance of meeting the height requirement for women.

B) For men;

the minimum z = (57 - 67.3)/2.8 = -3.68 which gives 0.00012 from the z-distribution table.

The maximum;

z = (76 - 67.3)/2.8 = 3.07 which gives 0.9989 from the z-distribution table. Basically, 99.89%.

So there is a 99.89% chance of meeting the height requirement for men.

C) To exclude the tallest 5% of men, we need to find the z-value for 0.95 and then solve for x.

Thus from the z-table, z = 1.65. So;

1.645 = (x - 67.3)/2.8

4.606 = x - 67.3

x = 67.3 + 4.606

x ≈ 71.9 inches for men.

So, Current minimum is okay.

To exclude the shortest 5% of women, we need to find the z for 0.05.

From the z-distribution table, it has a value of -1.645. So;

-1.645 = (x - 63.3)/2.7

-4.4415 = x - 63.3

x = 63.3 - 4.4415

x ≈ 58.9 inches minimum.

So, Current maximum is okay.

5 0

4 years ago

In the drawing what is the measure of angle y

KiRa [710]

Answer:

100

Step-by-step explanation:

P.s. solved it roughly

5 0

3 years ago

Read 2 more answers

Tyra is laying down square carpet pieces in her photography studio. Each square carpet piece is 1 yard by 1 yard. If Tyra's phot

irakobra [83]

Studio = 7 yards by 4 yards

Area = 7*4 = 28 square yards.

Area of square carpet = 1 yard * 1 yard = 1 square yard

Number needed = Area of studio / Area of square carpet = 28 / 1 = 28

Number needed = 28

3 0

3 years ago

If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?

Ann [662]

Answer:

$x\geq 3$ is the inequality to find the Domain of f(x)

Step-by-step explanation:

When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.

Therefore, in this case , for

$f(x)=\sqrt{x-3}$

we ask for the x-values that verify:

$x-3\geq 0\\x\geq 3$

where we have isolated x on one side of the equal sign.

This would be the definition of the Domain of the function.

4 0

3 years ago