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3 years ago

If an original price is 1,195 and increased to 2,075 what is the percent

1 answer:

3 0

$|1195 - 2075| = | - 880| = 880$
$1195 + 2075 = 3270 \div 2 = 1635$
$\frac{880}{1635} = 0.538226 \times 100$ = 53.8226% difference

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A local grocery store tested spinach samples for E coli bacteria using two different tests. The first test has a 94% probability

Afina-wow [57]

Answer: Probability that both tests detect the bacteria is 83.66%.

Step-by-step explanation:

Since we have given that

Probability of the first test giving accurate results = 84%

Probability of the second test is accurate = 89%

Probability of both tests detect the bacteria is given by

$\frac{94}{100}\times \frac{89}{100}\\\\=0.94\times 0.89\\\\=0.8366\\\\=83.66\%$

Hence, Probability that both tests detect the bacteria is 83.66%.

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3 years ago

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Arisa [49]

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3 years ago

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deff fn [24]

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Step-by-step explanation:

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3 years ago

Right triangles to find the exact length of:<br> T<br> 30°<br> 14 in<br> a) TI = in<br> 60°<br> R

ira [324]

<h3>Answer:</h3>

a) TI = 7√3 in

b) IR = 7 in

<h3>Explanation:</h3>

<u>Using cosine rule</u>:

$\sf cos(x) = \dfrac{adjacent}{hypotenuse}$

$\hookrightarrow \sf cos(30) = \dfrac{TI}{14}$

$\hookrightarrow \sf TI = 14cos(30)$

$\hookrightarrow \sf TI = 7\sqrt{3}$

<u>Using sine rule</u>:

$\sf sin(x) = \dfrac{opposite}{hypotenuse}$

$\hookrightarrow \sf sin(30) = \dfrac{IR}{14}$

$\hookrightarrow \sf IR = 14sin(30)$

$\hookrightarrow \sf IR = 7$

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2 years ago

What is 1/4 divided by 1/2, and create and solve a real-world word problem that uses the above division expression.

Gnoma [55]

Answer:

1/4 divided by 1/2 equals 1/2

Real-world problem:

A constructor official knows that he needs 1/2 sack of cement to produce 10 blocks of concrete for a wall. The official only has 1/4 of the sack left and want to know how many blocks he can produce with this material.

Step-by-step explanation:

Since you know that 1/2 of the sack is needed to make 10 blocks, you can use this information to find the number of blocks that 1/4 of a sack can make. The question you want to answer is:

if $\frac{1}{2}$ of a sack produces 10 blocks, how may blocks $\frac{1}{4}$ of a sack can produce?

Using the Rule of Three you can solve

$\frac{\frac{1}{4} }{\frac{1}{2}} =\frac{2}{4}=\frac{1}{2}$

Now you know that 1/4 of a sack can produce 1/2 the number of blocks that 1/2 of the sack can produces, this means that you can produce 5 blocks of concrete.

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3 years ago