<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%204" id="TexFormula1" title="4 \times 4" alt="4 \times 4" align="absmiddle" class

Please help can give brainliest

DIA [1.3K]

Answer:

you have to add them together

4 0

3 years ago

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The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes.

Mazyrski [523]

There are 3 girls & 4 boys.

Each student makes 8 paper airplanes.

Amount of paper airplanes created by girls: 3 x 8 = 24

Amount of paper airplanes created by boys: 4 x 8 = 32

Amount of paper airplanes created in all: 3(8) + 4(8) = 24 + 32 = 56

~

3 0

3 years ago

Diameter Radius Area Circumference of= 132

AveGali [126]

Answer:

$lets \: \: find \: \: \: the \: \: \: radius \\ 2\pi \: r = 132 \\ \frac{2\pi \: r}{2\pi} = \frac{132}{2\pi} \\ r = 21.01$

$lets \: \: \: find \: \: \: the \:area \: now \\ = \pi {r}^{2} \\ = \pi \times {21.01}^{2} \\ = 1,386.76$

$lets \: fin d\: \: \: the \: \: diameter \\ = d = 2r \\ = d = 2 \times 21.01 \\ = d = 42.02$

7 0

3 years ago

Y=x+2 2x-y=-4 Solve the systems of equations

larisa86 [58]

Answer:

Step-by-step explanation:

Given that,

y=x+2 equation 1

2x-y=-4 equation 2

This is a simultaneous equation.

Substitute equation 1 into equation 2

2x-y=-4. Since y=x+2

2x-(x+2) = -4

2x-x-2 = -4

x-2 = -4

x = -4+2

x = -2

Also from equation 1

y=x+2

Since x=-2

y=-2+2

y=0

Then, solution (x, y) = (-2,0)

4 0

3 years ago

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