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1 year ago

Three friends recorded, in different units, the lengths of the hopscotch paths they made.

Mathematics

1 answer:

ivann1987 [24]1 year ago

5 0

From the options given, Dustin's hopscotch path was the longest in comparison to the other two friends.

<h3>How to find out who had the longest path?</h3>

Make sure all distances use the same units.
If necessary convert the distances.
Compare the distances.

Based on this, let's make sure all distances are in feet.

Cassey: 94 feet

Jasmin: 1100 in or 91.66 feet
Each inch is equivalent to 0.0833

1100 x 0.0833 = 91.66

Dustin: 32 yards or 96 feet
1 yard = 3 feet
32 x 2 = 96 feet

Based on this, the person with the longest path is Dustin.

Learn more about distances in: brainly.com/question/15172156

#SPJ1

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Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional development for the

kykrilka [37]

Answer:

D. $53,650

Hope this helps, sorry if it's wrong :)

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3 years ago

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of

emmainna [20.7K]

Answer:

$z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108$

And we can use the normal standard distribution table or excel and with the complement ruler we got:

$P(z>-2.108) =1- P(z$

Step-by-step explanation:

We know the following info given:

$\mu = 997$ represent the true mean

$\sigma = \sqrt{3844}= 62$ represent the population deviation

$n = 73$ represent the sample size selected

Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

And for this case we want to find this probability:

$P(\bar X >981.7)$

And we can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108$

And we can use the normal standard distribution table or excel and with the complement ruler we got:

$P(z>-2.108) =1- P(z$

3 0

3 years ago

A dime has a radius of about 0.85 cm what is the closest circumfrence

Anuta_ua [19.1K]

5.34 cm. Hope I helped!

4 0

3 years ago

If you invested $250 at 16% interest, how much will you have after 18 years?

Whitepunk [10]

After 1st year: 250$:100%=x$:116%, 250$*116%=x$*100%, x=(250*116)/100=290$. After 1st year I will have 290$
After 2nd year: 290$:100%=x$:116%, x=(290*116)/100=336.4$. After 2nd year I will have 336.4$
After 3rd year I will have (336.4*116)/100=390.224$
After 4th yr: (390.224*116)/100=452.65984$
After 5th yr: (452.65984*116)/100=525.085$
After- 6th yr: 609.1$, 7th yr: 706.556$, 8th yr: 819.605$, 9th yr: 950.742$
10th yr: 1102.86$, 11th yr: 1279.32$, 12th yr: 1484.01$, 13th yr: 1721.45$,
14th yr: 1996.88$, 15th: 2316.38$, 16th yr: 2687$, 17th yr: 3116.92$
After 18 years I will have 3615.63$.

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4 years ago

Read 2 more answers

valkas [14]

Answer: $\boxed{y=\frac{4}{5}x-2}$

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

$y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}$

4 0

2 years ago