Answer:
2820.321
Here’s how the multiplication works:
Perform the multiplication just as you would for whole numbers.
When you’re done, count the number of digits to the right of the decimal point in each factor and add the results.
Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.
Step-by-step explanation:
Mark me brainliest!
You will have to use trig to solve this:
The side you have is adjacent to the known angle
The side you are looking for is opposite the known angle
^^^This means you need to use tan:
tan(24) = ![\frac{x}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D)
.445222 = ![\frac{x}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D)
^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x
5.3 ≈ x
Hope this helped!
The answer is the letter d the anwer is 30 I think it was just a guess and I'm bored dont throw no hate comment cuz I'm from Newark run my 30 just like the answer 30
Answer:
![{x}^{2} + 4x - 30 = - 3x \\{x}^{2} + 7x - 30 = 0 \\ {x}^{2} - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\ \boxed{x = 3} \\ \boxed{x = - 10}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%2030%20%3D%20%20-%203x%20%5C%5C%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20-%2030%20%3D%200%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%2010x%20-%2030%20%3D%200%20%5C%5C%20x%28x%20-%203%29%20%2B%2010%28x%20-%203%29%20%3D%200%20%5C%5C%20%28x%20-%203%29%28x%20%2B%2010%29%20%3D%200%20%5C%5C%20%20%5Cboxed%7Bx%20%3D%203%7D%20%5C%5C%20%20%5Cboxed%7Bx%20%3D%20%20-%2010%7D)
<h3>
<em><u>x=3 or x=-10</u></em> is the right answer.</h3>
Answer:
Confidence Interval = (23.776, 24.224)
Step-by-step explanation:
Restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average.
⇒ Mean = 24 ounces.
Standard Deviation = 0.8
Number of bottles used for sample = 49
⇒ n = 49
Confidence level = 95%
Corresponding z value with 95% confidence level = 1.96
Now, confidence interval is given by the following expression :
![Mean \pm z^*\times \frac{\sigma}{\sqrt{n}}\\\\=24\pm1.96\times \frac{0.8}{\sqrt{49}}\\\\=24\pm 0.224](https://tex.z-dn.net/?f=Mean%20%5Cpm%20z%5E%2A%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D24%5Cpm1.96%5Ctimes%20%5Cfrac%7B0.8%7D%7B%5Csqrt%7B49%7D%7D%5C%5C%5C%5C%3D24%5Cpm%200.224)
Hence, Confidence Interval = (23.776, 24.224)