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2 years ago

In AHIJ, the measure of ZJ=90°, the measure of ZH=57°, and IJ = 22 feet. Find the

Mathematics

1 answer:

kirill [66]2 years ago

3 0

Answer:

26.2

Step-by-step explanation:

From the given diagram;

Opposite side IJ = 22

Hypotenuse HI = x

Angle of elevation = 57degrees

Using the SOH CAH TOA;

sin theta = opposite/hypotenuse

sin theta = IJ/HI

sin57 = 22/x

x = 22/sin57

x = 22/0.8387

x = 26.2

Hence the legnth of HI is 26.2

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n a study of the accuracy of fast food drive-through orders, Restaurant A had 314 accurate orders and 61 that were not accurate

Varvara68 [4.7K]

Answer:

a. 0.1576<p<0.2310

b. The two restaurants likely have similar order rates which are inaccurate.

Step-by-step explanation:

a. We first calculate the proportion, $\hat p$ :

$\hat p=\frac{61}{314}\\\\=0.1943$

-We use the z-value alongside the proportion to calculate the margin of error:

$MOE=z\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=1.645\times \sqrt{\frac{0.1943(1-0.1943)}{314}}\\\\=0.0367$

The confidence interval at 90% is then calculated as:

$CI=\hat p\pm MOE\\\\=0.1943\pm 0.0367\\\\=[0.1576,0.2310]$

Hence, the confidence interval at 90% is [0.1576,0.2310]

b. From a above, the calculated confidence interval is 0.1576<p<0.2310

-We compare the calculated CI to the stated CI of 0.147<p<0.206

-The two confidence intervals overlap each other and have the same value for 0.1576<p<0.206

-Hence, we conclude that the two restaurants likely have similar order rates which are inaccurate.

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3 years ago

What is 6.33 percent as a decimal

Harrizon [31]

I'm pretty sure the answer is .0633 but I'm not sure

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3 years ago

Read 2 more answers

(8 x 104) (4.5x 10-1) =

Rashid [163]

$\tt{}(8 \times 104)(4.5 \times 10 - 1)$

$\tt{}(832)(45 - 1)$

$\tt{}(832)(44)$

$\tt{}832 \times 44$

$\tt{}36608$

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3 years ago

Value-Mart is advertising a Back-to-school sale on pencils. A pack of 30 sells for $7.97, whereas a 12-pack of the same brand co

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3 years ago

In 20 years Lillian will be three years older than twice her current age. Set up an equation that

AlladinOne [14]

Answer:

ok so x is her currect age y is her age in 20 years

2x+6=y

x+20=y

that means that both sides are equal

2x+6=x+20

-6

2x=x+14

-x

x=14

so her currect age is 14 and lets plug in

14+20=34

her currect age is 14 and her age in 20 years is 34

Hope This Helps!!!

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1 year ago