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erma4kov [3.2K]
3 years ago
8

The Gateway Arch in St. Louis can be modeled by y=-2/315(x+315) (x-315) where x and y are measured in feet. The x-axis represent

s the ground. A. Find the width of the arch at ground level. B. How tall is the arch?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer:

USE SOCRACTIC IT WOULD REALLY HELP

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The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard de
Arisa [49]

Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, \overline x = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = \overline x

The alternative hypothesis; Hₐ μ ≠ \overline x

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}

Therefore, we have;

t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

4 0
2 years ago
Only 18 people are allowed on a ride at the same time. There are 157 people waiting in line. How many groups of riders will ther
IrinaK [193]

Answer:

Step-by-step explanation:

Divide 157 by 8 to see how many groups there are.

157/18=8r13. So you can round up to 9 groups of riders as there is a max of 18 at a time.

7 0
2 years ago
What is the vertex of y=-3x^2+6x+15? Help is much appreciated.
DENIUS [597]

Answer:

<u>(1, 18)</u>

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

5 0
3 years ago
3.Solve the system of equations: X-4y=-22 x+4y=10​
laila [671]

Answer:

-0.5

Step-by-step explanation:

Use the simultaneous equations method:

x - 4y = 6

3x + 4y = 10

Add these two equations together to cancel out 'y':

4x = 16

Divide both sides by 4:

x = 4

substitute this value into one of the equations:

(4) - 4y = 6

Subtract 4 from both sides:

- 4y = 2

Divide both sides by -4:

y = -0.5

goodluck!

6 0
2 years ago
The students who travels to 5 states visited 5 new states during a vaction.Does increasing the 5 to 10 change the median?
AnnZ [28]

Answer:

No because you can multiply 5 by 5

8 0
3 years ago
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