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3 years ago

X 6.4.5-T

Mathematics

1 answer:

butalik [34]3 years ago

8 0

Same strategy as before: transform X ∼ Normal(76.0, 12.5) to Z ∼ Normal(0, 1) via

Z = (X - µ) / σ ↔ X = µ + σ Z

where µ is the mean and σ is the standard deviation of X.

P(X < 79) = P((X - 76.0) / 12.5 < (79 - 76.0) / 12.5)

… = P(Z < 0.24)

… ≈ 0.5948

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Find the vertex of the parabola y= x^2-2x-1 vertex (?,?)

SpyIntel [72]

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$y=x^2-2x-1\\\\a=1;\ b=-2;\ c=-1\\\\x_v=\frac{-(-2)}{2\cdot1}=\frac{2}{2}=1\\\\y_v=1^2-2\cdot1-1=1-2-1=-2\\\\Answer:(1;-2)$

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3 years ago

Read 2 more answers

X^2+y^2=169, 3x+2y=39 please answer using substitution and each step

Oksanka [162]

Answer:

x=13,y=0

Step-by-step explanation:

We are given a system of equations

${x}^{2} + {y}^{2} = 169 - - eqn \: 1 \\ 3x + 2y = 39 - - eqn \: 2$

For equation 1,square all terms to reduce it

√x²+√y²=169

x+y=13

Make x the subject as required by the question to use substitution method

x=13-y

Plug x=13-y into eqn 2

3(13-y)+2y=39

39-3y+2y=39

39-y=39

y=39-39=0

Plug y=0 into equation 1

x+0=13

x=0

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2 years ago

Please help me with this homework question. No silly answers please and no bots, links, etc! I will mark brainliest to whoever g

Andre45 [30]

Answer:

T = (m × 20) + 25

(2.5 × 20) + 25 = 75

75 minutes

110 - 25 = 85

85 ÷ 20 = 4.25

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3 years ago

Can u guys help me please ?‍♀️

Over [174]

Answer:

r = 8 ft

Step-by-step explanation:

The formula for circumference of a circle is

C = 2 * pi *r

We know the circumference is 16 pi

16 pi = 2 pi r

Divide each side by 2pi

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3 years ago

Kimi and Jordan are each working during the summer to earn money in addition to

cluponka [151]

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hour
Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

$y =9x + 8$

Jordan

Earnings = $7 per hour
Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

$y = 7x + 16$

Equate both equations

$7x + 16 = 9x + 8$

Collect like terms

$9x - 7x = 16 - 8$

$2x =8$

Divide both sides by 2

$x =4$

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

brainly.com/question/13729904

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2 years ago