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Arisa [49]
1 year ago
6

Consider the following equivalent expressions: 38÷1312 and 38⋅ab. What are the values of a and b? Give the value of a followed b

y the value of b, separated by a comma. The value of a and the value of b should be the smallest possible non-negative whole number for each. nothing
Mathematics
1 answer:
yKpoI14uk [10]1 year ago
7 0

Answer:

The values of a and b are {12,13}

Step-by-step explanation:

As,

\frac{\frac{3}{8}}{\frac{13}{12}}=\frac{3}{8}\frac{a}{b}

We convert the division into a multiplication by inverting the denominator

\frac{3}{8}}\frac{12}{13}=\frac{3}{8}\frac{a}{b}

Therefore, the smallest possible non-negative whole numbers for a and b could be are 12 and 13, respectively.

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
ZanzabumX [31]

Answer:

a) 22.94 psi

b) 5.93\times10^{-5}

Step-by-step explanation:

a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}

where x = 22.94, \mu = 31, \sigma = 2

f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}

f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}

6 0
2 years ago
Classify the solution set of each equation below as one of the following types of surfaces: A. parabolic cylinder, B. ellipsoid,
taurus [48]

Answer:

the complete question is found in the attachment

1) D. hyperbolic paraboloid

2)C. elliptic paraboloid

3)E. cone

4)F. hyperboloid.

Step-by-step explanation:

The complete explanation is found in the attachment

3 0
1 year ago
Ms. Hamby gave a quiz. Two students’ work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form.
Luden [163]

Answer:

Student A and Student B both answered 2 questions correctly.

See explanation below

Step-by-step explanation:

Note: that answers in the form:

\frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}

ARE ALL EQUIVALENT.

First of all, 4/5 is equivalent to 0.8 if we do long division.

and 19/20 is 0.95 if we do long division.

Now, <u>Student A:</u>

Both of the fractions are correct and the negative sign is equivalent and makes the answer correct, so both are correct.

For <u>Student B:</u>

Similarly, both answers are correct for this student as well, looking at the equivalence we showed first.

Also, "-" (negative) in front of the parenthesis and inside parenthesis here doesn't matter.

Hence,

Student A and Student B both answered 2 questions correctly.

5 0
2 years ago
A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty
Shtirlitz [24]

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

  2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

6 0
2 years ago
Suzie is going on vacation and will need to rent a car. She has narrowed it down to two choices. Miller Car Rental charges a $99
Kay [80]

Answer: she would have to drive the quick cars car 160 miles (Fee is included) for it to add up to the Miller car rental car.

Step-by-step explanation:

4 0
2 years ago
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