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laila [671]
2 years ago
5

Manny says that the diagram shows a centroid. Is he correct? Why or why not? no, because the centroid is where the altitudes mee

t no, because the centroid is where the medians meet yes, because the centroid is where the altitudes meet yes, because the centroid is where the medians meet
Mathematics
2 answers:
timama [110]2 years ago
8 0
Manny is a incorrect his logic doesn't not provide any specific evidence to support his theory
sergey [27]2 years ago
8 0

Answer:

The answer is B

Step-by-step explanation:


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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure.
Alona [7]

Answer:

Step-by-step explanation:

Hello!

The monitoring system warn the driver when the tire pressure of the vehicle is 28% below target pressure.

Be X: target tire pressure of a certain car (pounds per square inch)

a)

X= 28 psi

If the monitoring system will warn the driver when the pressure is 28% below the target pressure: X-0.28X

First step, you have to calculate the 28% of 28psi

28*0.28= 7.84

Second step, is to subtract the calculated 28% to the target pressure:

28 - 7.84= 20.16

The TPMS will trigger a warning at 20.16 psi.

b)

If X~N(μ;σ²)

μ= 28psi (since the average is on target, then the target pressure for the car will be the average value of the distribution)

σ= 3psi

P(X≤20.16)

The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.

So to calculate each of the asked probabilities, you have to first, "transform" the value of the variable to a value of the standard normal distribution Z, then you use the standard normal tables to reach the corresponding probability.

Z= (X-μ)/σ= (20.16-28)/3= -2.61

Now you have to look for the corresponding value of probability using the Z-table. Since the value is negative you have to the use the left entry of the Z-table, in the first column you'll find the integer and first decimal of the value -2.6- and in the first row you'll find the second decimal value -.-1

The value of probability that corresponds to -2.61 is:

P(Z≤-2.61)= 0.005

c)

You have to calculate the probability of inspecting a tire at random and it being inflated within recommended range, symbolically this is:

P(30≤X≤26)= P(X≤30)-P(X≤26)

Calculate both Z values:

Z= (30-28)/3= 0.67

Z= (26-28)/3= -0.67

P(Z≤0.67)-P(Z≤-0.67)= 0.749 - 0.251= 0.498

The probability of the tire being inflated within recommended inflation range is 0.498.

I hope this helps!

5 0
2 years ago
Your new flashlight uses a parabolic mirror which can be modeled by the equation (x – 2)² = 5(y + 1), where x and y are measured
Ksju [112]
The given equation is
(x - 2)² = 5(y + 1).

The given equation for the parabola is in the standard form
(x - h)² = 4p(y - k)
where
h = 2
4p = 5,    so that  p = 5/4
k = -1

The vertex is at 
(h,k) or (2, -1)

The focus is located at
(h, k + p) or (2, -1 + 5/4) = (2, 1/4)

We should place the bulb at p = 5/4 from the vertex.

Answer: 1 1/4 or 1.25 cm
 

6 0
2 years ago
Read 2 more answers
Sandra enters a pumpkin growing contest each year. Currently, her pumpkin measures 36 inches in circumference. Using data from p
Arturiano [62]
Hi there.

Using process of elimination & some logic, I believe the answer is:

C) starting size of the pumpkin

I hope this turned out right!

~
5 0
2 years ago
Read 2 more answers
Joanne has a goal of buying a townhome and saved for 5 years. She expected to have the down payment of $15,000 saved by now but
serg [7]

Answer:


Step-by-step explanation:

Average amount saved per year = \frac{15,000}{5}

                                                      =$3000

So on average Joanne has saved $3000 per year. She only needs $2000 more which will not even take a year to save.

How many months it will take to save $2000:

\frac{12}{3000} \times2000

= 8 Months.

It will only take Joanne 8 moths to save $2000.

If she really wants to buy the home now she can always go for a home loan scheme for $2000. Any interest rate less than 50% per year is fine as she can save $3000 per year.


6 0
2 years ago
Read 2 more answers
P(n,6)=3p(n,5) what is the value of n.​
Leokris [45]

Answer:

n = 10

Step-by-step explanation:

3n1!/(n-4)! = (n-1)!/( n-1-5)

3n(n-1)(n-2)(n-3)(n-4) / N-4 -------- case1 ( cancel ( n-4) from top and bottom)

= (n-1)(n-2)(n-3)(n-4)(n-5)(n-6) / n-6 --------- case 2 ( Cancel n-6 from top and

                                                                                 bottom and also cancel n-1,

                                                                                  n-2, n-3 with case 1)

3n = ( n-4)(n-5)

3n = n² - 5n - 4n + 20

3n =  n² - 9n + 20

0 = n² - 9n - 3n + 20

0 = n² - 12n + 20

0 = (n-2)(n-10)

n = 2  ( not valid)       n = 10

Therefore n = 10

6 0
2 years ago
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