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seropon [69]
2 years ago
7

72 + 24 (distributive property)

Mathematics
1 answer:
Dmitrij [34]2 years ago
8 0
The answers is 96
Dont u just add?
You might be interested in
A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
Find the quadratic function that has roots of -9 and 3 and a vertex of (-3,-36)
natita [175]
Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99
6 0
3 years ago
Round these numbers to the nearest (I) 10 (ii) 100 (iii) 1000 (a) 948 (b) 1855 (c) 199 (d) 645 (e) 19897
makkiz [27]
A) 950, 900, 1000
b) 1860, 1900, 2000
c) 200, 200, 0
d) 650, 600, 1000
e) 19900, 19900, 20000
5 0
3 years ago
Which values have exactly 2 significant figures? Check all that apply.
JulijaS [17]

ANSWER

Options B, C and D have exactly 2 significant figures.


<u>EXPLANATION</u>

To see whether the numbers have exactly 2 significant figures, round all to 2 significant figures. The ones that remains the same have exactly 2 significant figures.


302\approx 300yards to 2.s.f

980\approx 980gallons to 2.s.f

1200\approx 1200feet to 2.s.f

84\approx 84litters to 2.s.f\

6,040\approx 6,000meters to 2.s.f







8 0
3 years ago
Read 2 more answers
Which one should I choose?
Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

m\angle 1=90^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

90^\circ+65^\circ+m\angle 2=180^\circ

155^\circ+m\angle 2=180^\circ

m\angle 2=180^\circ-155^\circ

m\angle 2=25^\circ

Therefore, the correct option is C.

7 0
3 years ago
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