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Nikitich [7]
2 years ago
14

A child sitting on the edge of a merry go round travels 22m in one full turn, What is the diameter of the merry-go-round?​

Mathematics
1 answer:
lakkis [162]2 years ago
4 0

Answer:

Diamter=7 meter

Step-by-step explanation:

One full turn means we have 360° of theta which equals 2pi in radinas

And arc length is 22 so using the equation theta= L/r = 2pi=22/r so r= 3.50 and diameter= 2r =7 m

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Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh
a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let \overline{x} and \overline{y} be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume \overline{x} having with mean \mu_{1} and \overline{y} having mean \mu_{2}

Also we have given the variance is constant

A)

We can test hypothesis as

H0: \mu_{1} =  \mu_{2}H1: \mu_{1} > \mu_{2}

For this problem

Test statistic is

T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}

Where

s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0
3 years ago
How many pounds does 64 ounces weigh?
wel

Answer:

4 lbs

Step-by-step explanation:

There are 16 ounces in a pound, so divide 64 by 16 to get the number of pounds.  64 ÷ 16 = 4 lbs

8 0
3 years ago
Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a
Marysya12 [62]

Answer:

$1.07 for the late fees.

Step-by-step explanation:

You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).

35.62*.03

1.0686

Round up because you cannot have part of a cent.

$1.07 for the late fees.

4 0
2 years ago
Determine the range of the following graph:
sergeinik [125]

Answer:

-7 < y < 2 (Line under <) is the answer

6 0
2 years ago
A new energy drink advertises 120 calories for 5 oz. How many calories are in 15 oz of drink
Alex777 [14]

A new energy drink advertises 120 calories for 5 oz.

How many calories are in 15 oz?

We can set up a proportion to solve this problem

\frac{120}{5}=\frac{x}{15}

Where x is the number of calories in 15 oz

Let us solve the above equation for x

\begin{gathered} \frac{120}{5}=\frac{x}{15} \\ \frac{x}{15}=\frac{120}{5} \\ x=\frac{120}{5}\cdot15 \\ x=120\cdot3 \\ x=360 \end{gathered}

Therefore, there are 360 calories in 15 oz of drink.

4 0
1 year ago
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