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3 years ago

10

Matt pours 3 2/3 cups of orange juice into a measuring cup from a large container. then he pours 1 1/4cups back into the contain

er . How much orange juice remains in the measuring cup?

2 answers:

jonny [76]3 years ago

7 0

Convert to mixed fraction 3 2/3=11/3...then subtract 11/4 from 11/3=(44-33)/12=11/12

STALIN [3.7K]3 years ago

3 0

2 and 5/12 are left

convert yhe thirds and quarters to twelths

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A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is

IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

${w}^{2} + {42}^{2} = {62}^{2}$

${w}^{2} = {62}^{2} - {42}^{2}$

${w}^{2} = 2080$

${w} = \sqrt{2080}$

$w = 4 \sqrt{130}$

The width of the painting is 45.6cm to the nearest tenth.

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Marissa is walking along the beach and finds an unknown organism on the shore it has radical symmetry a nonporous surface and te

frozen [14]

This is not math ? it’s physics or chem or bio or something

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3 years ago

During the grand opening of the T-Shirt Shack at the Madera County Emu Farm, four of the emus broke through the fence and attack

Irina-Kira [14]

Given :

p = 0.68

margin of error, E = 0.1

99% confident interval

alpha, α = 1 - 0.99

= 0.01

$\frac{\alpha }{2}=\frac{0.01}{2} = 0.005$

∴ $z_{\alpha/2}=z_{0.005}=2.5758$ (z-critical value)

Sample size = $z_{\alpha/2} \times \frac{p(1-p)}{E^2}$

$=(2.5758)^2 \times 0.68 \times \frac{(1-0.68)}{0.1^2}$

$= 6.63475 \times 0.68 \times \frac{0.32}{0.01}$

= 144.37

= 145 (rounded off)

Therefore, there are 145 businesses does she need to sample to meet this criteria.

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3 years ago