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3 years ago

Please help the image below with question!

Mathematics

1 answer:

Katena32 [7]3 years ago

4 0

Answer:

6π units

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Since we only require one half of the circumference, then

0.5C = πr

given diameter = 12 then r = 12 ÷ 2 = 6, then

arc length = π × 6 = 6π units

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mrs jones attended a southern living Home party she purchased a vase which cost $34.99 The shipping charge was three dollars and

zhannawk [14.2K]

The total amount paid for vase is $ 41

Solution:

Given that

Cost of vase = $ 34.99

Shipping charge = 3 dollars

Sales tax = 8.25 % was paid on the subtotal which included the shipping charge

To find: total amount paid for vase

total amount paid for vase = Cost of vase + Shipping charge + sales tax

Let us first find the sales tax

Given that 8.25 % was paid on the subtotal which included the shipping charge

Subtotal = 34.99 + 3 = 37.99

So 8.25 % of 37.99 was paid as sales tax

$\text{ sales tax } = \frac{8.25}{100} \times 37.99 = 3.1341$

Therefore sales tax amount paid = $ 3.1341

total amount paid for vase = Cost of vase + Shipping charge + sales tax

total amount paid for vase = 34.99 + 3 + 3.1341 = 41.1241 ≈ 41

Therefore total amount paid for vase is $ 41

8 0

4 years ago

Problem page scott has scored 28, 22, and 29 points in his three basketball games so far. how many points does he need to score

diamong [38]

28+22+29+ 21 (your answer) = 100 divided by 4 (the amount of numbers used) = 25 (average)

3 0

3 years ago

According to government data, 20% of employed women have never been married. If 10 employed women are selected at random, what i

Ierofanga [76]

Answer:

a) $P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

b) $P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

c) For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

And replacing we got:

$P(X\geq 8)=0.0000779$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Bin (n=10 ,p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable "number of women that have never been married" , on this case we now that the distribution of the random variable is:

$X \sim Binom(n=10, p=0.2)$

Part a

We want to find this probability:

$P(X=2)$

And using the probability mass function we got:

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

Part b

For this case we want this probability:

$P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

We can find the individual probabilities and we got:

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

Part c

For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

3 0

3 years ago

Raj had 12 gallon of orange juice. He used 89 of the juice to make punch.

Mila [183]

Answer:

4/9

Step-by-step explanation:

Finally, I can put my answer!

6 0

3 years ago

Human blood has an approximate pH of 7.3. Which substance is more basic than human blood?

ratelena [41]

so, 7 is neutral anything past 7 is considered basic.

answer: a water and ammonia solution with a pH of 11 (very basic).

any number under 7 is acidic and of course there are different degrees of acidic just like there are different degrees of basicity.

______________________________________________________________

- stomach's digestive juices, would be considered very acidic

-apple juice is also acidic but not as acidic like stomach juices.

- grape juice, is becoming less acidic.

________________________________________________________________

Hopefully this helped and good luck.

5 0

3 years ago