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3 years ago

An event called __ if the probability it will occur equals 1, plz help im dying (it has 7 letters)

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:

"certain"

Step-by-step explanation:

by definition, any event with a probably of 1 is defined as certain (i.e certain to happen)

by contract any even with a probably of 0 is defined as impossible (i.e impossible to happen)

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A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure anti

Brums [2.3K]

$\bf \begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{antifreeze}&\stackrel{\textit{gallons of }}{antifreeze}\\ \cline{2-4}&\\ \textit{1st brand}&x&0.65&0.65x\\ \textit{2nd brand}&y&0.90&0.9y\\ \cline{2-4}&\\ mixture&40&0.8&32 \end{array}~\hfill \to \begin{cases} x+y&=40\\ \boxed{x}=40-y\\ \cline{1-2} 0.65x+0.9y&=32 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{substituting in the 2nd equation}}{0.65\left( \boxed{40-y} \right)+0.9y=32}\implies 26-0.65y+0.9y=32 \\\\\\ 26+0.25y=32\implies 0.25y=6\implies y=\cfrac{6}{0.25}\implies \blacktriangleright y=24 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=40-y\implies }x=40-24\implies \blacktriangleright x=16 \blacktriangleleft$

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3 years ago

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Find the slope and the y-intercept of the graph of y=11+1.5x.

Anni [7]

Honestly man i don’t know Im in 6th grade bro

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3 years ago

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A circle has a radius of length r. If you mark off the an arc on the circle of length 3r, what is the measurement of the angle t

prisoha [69]

Answer:

is 171.8 degrees

Step-by-step explanation:

Length of arc subtended by any angle $\alpha$ with a radius r is given by $\alpha *r$ .

For example

to calculate length of circumference

angle subtended by whole circle is 2 $\pi$

Therefore length of circumference is $2\pi *r$

Similarly we can see that for semicircle angle at center is $\pi$

hence length of arc is $\pi r$

____________________________________________

Given in the problem length of arc = 3r

radius= r

let the value of angle be $\alpha$

Plug in the value of length of arc in formula to calculate length of arc we have

3r = $\alpha* r$

$\alpha$ = 3r/r = 3

This value of angle subtended is in radian, we need to convert radian into degrees.

_____________________________________

We know that $\pi$ is equivalent to 180 degrees.

Also value of $\pi$ is 3.14

hence 3.14 radian= 180 degrees

=>3.14/3.14 = 180/3.14 ----degrees dividing both side with 3.14

=> 1 radian = 57.325 degrees

=> 1*3 radian = 57.325 * 3 degrees( multiplying both side with 3 as we need to find value of 3 radian into degrees

=> 3 radian = 171.8 degrees.

the measurement of the angle that subtended by the arc is 171.8 degrees or in radian 3 radian

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3 years ago

A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sam

bekas [8.4K]

Answer:

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

(48.937 , 50.863)

Step-by-step explanation:

Explanation:-

Given data random sample of 46 bins, the sample mean amount was 49.9 pounds and the sample standard deviation was 3.641

The sample size 'n' =46

mean of the sample x⁻ = 49.9

Standard deviation of the sample S = 3.641

Confidence intervals:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha } \frac{S}{\sqrt{n} })$

Degrees of freedom = n-1 = 46-1 =45

The tabulated value t₀.₉₆ = 1.794 ( from t-table)

$(49.9 - 1.794 \frac{3.641}{\sqrt{46} } ,49.9+ 1.794 \frac{3.641}{\sqrt{46} })$

(49.9 -0.9630 , 49.9+0.9630)

(48.937 , 50.863)

Conclusion:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

(48.937 , 50.863)

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3 years ago

What does 5x8x10xw Is the answer

Sedbober [7]

The answer is 400x because you multiply all the numerals and then add an x to the end.

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