In a random sample of 175 community college students, the mean number of hours spent studying per week is 13.7 hours and the standard deviation is 4 hours.

Assuming the distribution of the number of hours community college students study per week is normally distributed, approximately how many of the students in the sample study between 9.7 and 17.7 hours per week?

Answer:

The choice b.

[tex] \sin \: A = \frac{4}{5} [/tex]

Step-by-step explanation:

sinA = opposite/hypotenuse

[tex]sinA = \frac{28}{35} = \frac{4}{5} [/tex]

Answer:

2

Step-by-step explanation:

Degree of the monomial is the highest power in the monomial.

Highest power in the monomial - 1.57k^2 is 2.

So, the degree of the monomial - 1.57k^2 is 2.

Step-by-step explanation:

f(x) = x² + 2ax + a² - a

g(x) = 4 - x²

f(x) = g(x)

x² + 2ax + a² - a = 4 - x²

2x²+2ax+a²-a -4 =0

the equation has two different solutions

=> (2a)² - 4(2)(a²-a-4) > 0

4a²-8a²+8a +32 >0

-4a²+8a+32 > 0

a²-2a-8 >0

(a-4)(a+2) < 0

the answer should be

-2 < a < 4

Answer:

A 5-pound roast would take about 187.5 minutes to cook.

Divide 150 minutes by 4 pounds and you get 37.5 minutes. This would be how long it takes to cook each pound. So, you multiply 5 pounds by 37.5 and you get 187.5 minutes for a 5-pound roast to cook.

Answer:

creo que la respuesta es 3,333.33 mph

Step-by-stepStep-by-step explanation:

Answer:

I believe your answer should be B.) I hope this helps! :D

Answer: An isosceles triangle has two sides of equal length. The length of one of the equal sides is two more than 3 times the length of the third side. If the perimeter is 46m, find the length of each side.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

The perimeter is equal to the lengths of all the sides.

Let x equal the two sides that are equal to each other.

Then the 3rd side is 2x - 1 which is 2 times the length of the equal side minus 1.

So the perimeter 23 = x + x + (2x-1)

Now solve for x

23 = x + x + 2x - 1

add 1 to both sides

24 = x + x + 2x

24 = 4x

x = 6

The two equal sides would be 6 feet each

The other side would be 2(6) - 1 = 11

The perimeter is 6 + 6 + 11 = 23

Answer:

$1715

Step-by-step explanation:

1/5 + 1/ 7 = 12/ 35

So, he is left with 23/35 of his salary

if 23/35 of his salary is 1127

his whole salary is 1715

[tex]\rm\purple{\overbrace{\underbrace{\tt\color{black}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

125/3

[tex]\large\red{ChaEunWoo2009}[/tex]

#CarryOnLearning

9514 1404 393

Answer:

  4

Step-by-step explanation:

The equation is in slope-intercept form:

  y = mx +b

where m is the slope (average rate of change).

In the given equation, m = 4.

The average rate of change is 4.

Rewrite f(x) as a nested exponential-logarithm expression :

[tex]\left(\ln(3x)\right)^{2x} = \exp\left(\ln\left(\ln(3x)\right)^{2x}\right)[/tex]

(where [tex]\exp(x) = e^x[/tex])

One of the properties of logarithms lets us drop the exponent as a coefficient:

[tex]\exp\left(\ln\left(\ln(3x)\right)^{2x}\right) = \exp\left(2x\ln\left(\ln(3x)\right)\right)[/tex]

Now, by the chain rule, we have

[tex]f(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \implies \\\\ f'(x) = \left(\exp\left(2x\ln\left(\ln(3x)\right)\right)\right)' \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2x\ln\left(\ln(3x)\right)\right)'[/tex]

By the product rule,

[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(   (2x)' \ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)'   \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(   2\ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)'   \right)[/tex]

By the chain rule again,

[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + 2x \cdot \dfrac1{\ln(3x)} \cdot \left(\ln(3x)\right)'  \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2x}{\ln(3x)} \cdot \dfrac1{3x} \cdot (3x)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{3\ln(3x)} \cdot 3 \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)[/tex]

Then simplify this to

[tex]f'(x) = \boxed{\left(\ln(3x)\right)^{2x} \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)}[/tex]

Answer:

farthur

Step-by-step explanation:

Answer:

6g = -86

Divide each term in 6 g = − 86 by 6 and simplify.

Exact Form: g = -43/3

Decimal Form: g = −14.¯3

Mixed Number Form:

g = −14 1/3

—————————————————————

g= -16

Vertical line at x = −16

9514 1404 393

Answer:

  1 ÷ 6

Step-by-step explanation:

1/6 is a division expression. It means "one divided by six."

The slash (/) can be replaced by the "divided by" symbol (÷), if you like.

  1/6 = 1 ÷ 6 . . . . means "one divided by six"

Answer:

75

Step-by-step explanation:

divide 4 by 300 and then you will get the answer of 75. I'm so sorry if this is wrong

Answer:

n = 16

Step-by-step explanation:

Given the proportion, n/28 = 4/7:

Cross multiply the two fractions:

7n = 28 × 4

7n = 112

Divide both sides by 7 to solve for n:

7n/7 = 112/7

n = 16

Therefore, the value of n = 16.

Please mark my answers as the Brainliest, if you find this helpful :)

1) 4m+3j, 2 terms.

2) -11x+6y+9, 2 terms

3) [tex]11g^5+6g^4-4gh\\[/tex], 2 terms

Answer: if the x is negative the answer will be positive but if -10 is the only negative it would be negative. The way I remember is if their is a even amount of negatives is will be positive if theirs a odd amount it would be negative . Hope this helps :)

Step-by-step explanation:

9514 1404 393

Answer:

  136

Step-by-step explanation:

15 seconds is 1/4 minute. We can find the number of copies by multiplying the rate by time:

  (32 copies/min)(4.25 min) = 136 copies

The machine can make 136 copies in 4 minutes 15 seconds.

Answer:

The rate of change is 1.

The equation of a line and y-intercept form is

y = mx + b, where m = the slope of the line.

and our given equation y = x - 2 the slope of the line is 1 in other words y = 1x - 2

Answer:

5

Step-by-step explanation:

Answer:

the answer F or D

Step-by-step explanation:

Answer:-18 mm sugar

Step-by-step explanation:

Thanks me later

A.

So it is less than 1

B.

We can change -3 to 3 or -2 to 2.

This will result in:

(a) The value of given expression "((1/4)⁻³)⁻²" is less than 1, and (b) To make value greater than 1, change second exponent to positive; to make it equal to 1, change first exponent to 0.

Part (a) : Starting from the innermost exponent, (1/4)⁻³ simplifies to 4³, which is 64.

So, ((1/4)⁻³)⁻² becomes (64)⁻², which is 1/4096. Since 1/4096 is less than 1, the value of the expression is less than 1.

Part (b) : To change the value to greater than 1:

Change the second exponent to a positive value, making it ((1/4)⁻³)²,

This simplifies to (4³)², which is 4096.

To change the value to equal 1:

Change the first exponent to 0, making it ((1/4)⁰)⁻². This simplifies to (1)⁻², which is 1.

Learn more about Expression here

https://brainly.com/question/10730206

#SPJ3

Answer:

10 and 1 fourth

Step-by-step explanation:

41 over 4 = 41/4 so you divide 41 by 4 which is 10 R1 so its 10 wholes, 1 and 4

...........................

Answer:

Step-by-step explanation: about a boy who fell for a girl that was twice his age and yeah something about that :)

Answer:

0

Step-by-step explanation: