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4 years ago

5

Given that the measurement of angle ABC≠0, which of the following could potentially describe the supplement angle ABC? Select al

l that apply.
A. Acute
B. Reflex
C. Right
D. Obtuse
E. Straight

1 answer:

Firlakuza [10]4 years ago

3 0

Answer:

Acute

Step-by-step explanation:

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How to calculate Relative frequency

Andreyy89

To find the relative frequency, divide the frequency by the total number of data values. To find the cumulative relative frequency, add all of the previous relative frequencies to the relative frequency for the current row.

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3 years ago

Read 2 more answers

A container contains 1212 diesel engines. The company chooses 88 engines at random, and will not ship the container if any of t

bija089 [108]

Answer:

The probability that a container will be shipped even though it contains 2 defectives if the sample size is 88, will be $P(S)=85.99\%$

Step-by-step explanation:

The first step is to count the number of total possible random sets of taking a sample size of 88 engines over 1212 engines of the population, so $\left[\begin{array}{ccc}1212\\88\end{array}\right] =1212C88=4.7205x10^{135}$

The second step is to count the number of total possible random sets of taking a sample size of 88 engines over 1210 engines (discounting the 2 defective engines) as the possible ways to succeed, so $\left[\begin{array}{ccc}1210\\88\end{array}\right] =1212C88=4.0596x10^{135}$

Finally we need to compute $\frac{\# ways\ to\ succeed}{\# random\ sets\ of \ 88} =\frac{4.0596x10^{135}}{4.7205x10^{135}}=0.8599=P(S)$ , therefore the probability that a container will be shipped is $P(S)=85.99\%$

7 0

3 years ago

Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?

yulyashka [42]

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Step-by-step explanation:

lol it’s on wassa name ;) mark me brainliest? Btw

Here you go, your equation should look a lot like this:

x²-16 -----> (x+4)(x-4).

8 0

3 years ago

Which exponential function goes through the points (1, 16) and (4, 128)?

djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are $f(x)=8(2)^{x}$

Step-by-step explanation:

We know that a general exponential function is like, $y=a(b)^{x}$

We can find the answer by hit and trial method by plugging the values of $(x,y)$ coordinates.

Here we are going to solve this with the above general formula.

So as the points are $(1,16)$ then for $x=1,\ y=16$

Can be arranged in terms of the general equation.

$ab^1=16$ ...equation(1) and $ab^4=128$ ...equation(2)

$a\times b=16, then\ a=\frac{16}{a}$

Plugging the values in equation 2.

We have

$\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2$

Plugging $b=2$ in equation 1.

We have $a=\frac{16}{b} =\frac{16}{2} =8$

Comparing with the general equation of exponential $a=8$ and $b=2$

So the function which depicts the above points = $y=8(2)^x$

From theoption we have B as the correct answer.

7 0

4 years ago

In Euclidean geometry, the sum of the lengths of 2 sides of a triangle is greater than the length of the third side. The lengths

bearhunter [10]

Answer: $x \in (\frac{5}{3},\frac{19}{3})$

Step-by-step explanation:

Given

length of three sides are

$3x, 7\ and\ 12$

according to Euclidean geometry

$7+12>3x$

$19>3x$

$\frac{19}{3}>x$

also

$3x+7>12$

$3x>5$

$x>\frac{5}{3}$

therefore value of $x \in (\frac{5}{3},\frac{19}{3})$

If x is an integer then x can be $2,3,4,5,6$

7 0

4 years ago