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2 years ago

Please helpp!!! Im putting 50

Mathematics

2 answers:

omeli [17]2 years ago

5 0

Answer:

a) $985

b) 89

Step-by-step explanation:

C(117) = 400 + 5(117)

= 985

845 = 400 + 5n

5n = 445

n = 89

aniked [119]2 years ago

4 0

Answer:

I believe the answer to a) is $985

I think the answer for b) is 89 people

Step-by-step explanation:

You plug in the numbers for either n or c

You might want a second opinion though.

I hope this helped!! :)

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Original cost at $9.99 at discount at 15% with a sales tax 5%

enyata [817]

Hope this helps but I think the answer is $8.91.

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2 years ago

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On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1)

drek231 [11]

Answer:

B and E

Step-by-step explanation:

<u>Given</u>

ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)
ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)

<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>

x → x + 3, y → y - 5

It means the ΔABC has been translated 3 units right and 5 units down

Correct answer choices are B and E

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2 years ago

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4b+5a+3 what is this

mojhsa [17]

Answer:

Simplify:

Reorder 4b and 5a.

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2 years ago

How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

$E=\frac{s\times z}{\sqrt{n}}$

Substitute the value in the formula,

$3=\frac{12\times 1.96}{\sqrt{n}}$

$3=\frac{23.52}{\sqrt{n}}$

$\sqrt{n}=\frac{23.52}{3}$

$\sqrt{n}=7.84$

Squaring both side,

$n=61.4656$

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

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2 years ago

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Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

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3 years ago