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3 years ago

What is the vertex of this equation?

Mathematics

1 answer:

AfilCa [17]3 years ago

7 0

Answer:

(5, 4)

Step-by-step explanation:

The equation can be written in vertex form by adding and subtracting 25:

y = -(x^2 -10x +25) -21 +25

y = -(x -5)^2 +4

Then the vertex can be identified as (5, 4).

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Find endpoint with given endpoint and midpoint

TEA [102]

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

3 0

3 years ago

What interest rate would produce an interest amount of $450 if you invest $4800 for 5.5 years?

V125BC [204]

Answer:

Im in 7th grade and I need some help on a math problem. can I post it?

3 0

3 years ago

Miguel is 8 years older than half of Chen's age. If Chen is 20 years old, how can Miguel's age be

EleoNora [17]

Answer:

A) Divide 20 by 2 and then add 8 to the result

Step-by-step explanation:

$\frac{20}{2}+8=10+8=18$

8 0

3 years ago

In the figure below, EH GJ and FI intersects EH at G as shown below.

Pachacha [2.7K]

Answer:

D. 15°

Step-by-step explanation:

EGF and HGF are equal and 75°

since JGH is 90° we can say JGI is 90 - 75 = 15°

5 0

3 years ago

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

5 0

3 years ago