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3 years ago

What is the value of x in the figure below?

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

5 0

39 is the correct answer :)

dybincka [34]3 years ago

3 0

I believe the answer is 39<span />

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An ant travels at a constant rate of 30 cm every 2 minutes at what pace does the ant travel per centimeter

Rama09 [41]

Answer:

Answer: 15 cm in one minute. Step-by-step explanation: If the ant travels at 30 cm every two minutes, then divide both numbers by two to get the unit rate, which is 15 I'm per minute

6 0

3 years ago

B. Solve the following Polynomials:<br>1. u³ + 64

Art [367]

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

3 0

3 years ago

A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of

notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.01 = 0.99$ , so Z = 2.327.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031$

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.0001 = 2.327\frac{0.0003}{\sqrt{n}}$

$0.0001\sqrt{n} = 2.327*0.0003$

$\sqrt{n} = \frac{2.327*0.0003}{0.0001}$

$(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2$

$n = 48.73$

Rounding up

49 measurements are needed.

7 0

3 years ago

Matt can buy an 8-ounce jar of salsa $2.79 or a 15-ounce jar of salsa for $5.54. Which jar has the best unit rate

Talja [164]

8 ounce jar of salsa that's my thought

5 0

3 years ago

Read 2 more answers

49÷369 explain answer

Afina-wow [57]

49 divided by 369 is 0.13279133 and 369 divided by 49 is 7.53061224

5 0

3 years ago