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3 years ago

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On school days, Rosalie bikes 5 miles. On Saturdays, she bikes 15 miles. Last month there were 21 school days and 4 Saturdays. W

hat steps might you take to find how many miles Rosalie biked last month? Select all that apply.

1 answer:

marusya05 [52]3 years ago

3 0

multiply 5 times 21 then 4 times 15 and then add them together

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A quality control inspector has determined that 0.25% of all parts manufactured by a particular machine are defective. If 50 par

Arlecino [84]

Answer:

9.941*10^-6

Step-by-step explanation:

Probability of at most 1 means not more than 1 defective= probability of 1 or probability of 0

Probability of 1 = 50C1(0.25)(0.75)^49

Probability= 50(0.25)*7.55*10^-7

Probability= 9.375*10^-6

Probability of 0

= 50C0(0.25)^0(0.75)^50

= 1(1)(0.566*10^-6)

= 0.566*10^-6

Total probability

= 9.375*10^-6+ 0.566*10^-6

= 9.941*10^-6

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3 years ago

Drag the tiles to the correct boxes to complete the pairs.

Julli [10]

Answer:

1 = A

2 = D

3 = B

4 = C

Step-by-step explanation:

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3 years ago

If sin theta = sqrt(2/2), which could not be the value of theta?

Nataliya [291]

The solution would be like this for this specific problem:

sin(θ°) = √(2)/2

θ° = 360°n + sin⁻¹(√(2)/2) and θ° = 360°n + 180° − sin⁻¹(√(2)/2)
θ° = 360°n + 45° and θ° = 360°n + 135° where n∈ℤ

360°*0 + 45° = 45°
360°*0 + 135° = 135°
360°*1 + 45° = 405°

<span>sin(225°) = -√(2)/2

</span>225 has an angle where sin theta= -(sqrt2)/2 therefore, the value of theta cannot be 225 degrees.

4 0

3 years ago

Read 2 more answers

You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much

ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: $x+y=660$ ...(1)

Alcohol equation : $0.35x+0.95y=0.40(660)\Rightarrow 0.35x+0.95y=264$ ...(2)

On solving (1) and (2), we get

$0.35(660-y)+0.95y=264$

$231-0.35y+0.95y=264$

$0.6y=264-231$

$y=\dfrac{33}{0.6}$

$y=55$

Now, substitute y=55 in (1).

$x+55=660$

$x=660-55$

$x=605$

Therefore, we need 605 mL of the 35% solution and 55 mL of the 95% solution.

4 0

3 years ago

For f(x) = 4x+1 and g(x) = x2 - 5, find (f - g)(x).

Lostsunrise [7]

Answer:

C

Step-by-step explanation:

Simply substitute the equations f(x) and g(x) for f and g.

(4x+1)-( $x^{2}$ -5)

4x+1- $x^{2}$ +5

Do some rearranging and:

$-x^{2}$ +4x+6

Hope this helped!

3 0

3 years ago