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lakkis [162]
3 years ago
13

lign="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
olga_2 [115]3 years ago
8 0

Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

Rufina [12.5K]3 years ago
3 0

\huge\textsf{Hey there!}

\large\textsf{(x - 7) (x - 5)}

\large\text{DISTRIBUTE each of the numbers}

\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}

\large\textsf{x(x) =  \bf x}\bf ^2

\large\textsf{x(-5) = \bf -5x}

\large\textsf{-7(x) = \bf -7x}

\large\textsf{(-7)(-5) = \bf 35}

\mathsf{x^2 - 5x -7x + 35}

\large\text{COMBINE the LIKE TERMS}

\mathsf{x^2 -(5x - 7x) + 35}

\mathsf{-5x -7x = \bf -12x}

\mathsf{x^2 - 12x + 35}

\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark

\large\text{Good luck on  your assignment and enjoy your day!}

~\frak{Amphitirite1040:)}

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Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam
Vlad [161]

Answer

P(A) = 0.30

P(B) = 0.77

P(A\ n\ B) = 0.22

P(A\ u\ B) = 0.85

Explanation:

Given

See attachment for proper data presentation

n = 100 --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

Yes = 22 and No = 8

n(A) = Yes + No

n(A) = 22 + 8

n(A) = 30

P(A) is then calculated as:

P(A) = \frac{n(A)}{Sample}

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Solving (b): P(B)

We only consider data in the Yes column.

Here:

(1) = 22    (2) = 25 and (3) = 30

n(B) = (1) + (2) + (3)

n(B) = 22 + 25 + 30

n(B) = 77

P(B) is then calculated as:

P(B) = \frac{n(B)}{Sample}

P(B) = \frac{77}{100}

P(B) = 0.77

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

n(A\ n\ B) = 22

The probability is then calculated as:

P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}

P(A\ n\ B) = \frac{22}{100}

P(A\ n\ B) = 0.22

Solving (d): P(A u B)

This is calculated as:

P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)

This gives:

P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}

Take LCM

P(A\ u\ B) = \frac{30+77-22}{100}

P(A\ u\ B) = \frac{85}{100}

P(A\ u\ B) = 0.85

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3 years ago
What is 1 and 3/4 as an improper fraction
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\huge\boxed{\frac{7}{4}}

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Now, just add the numerators.

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W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt

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