Make n the subject of the formula a=mn 10

The volume in cubic centimeters of a sphere whose diameter is 6 centimes is ?

aivan3 [116]

Answer:

Volume of the sphere is 36π (or) 113.097 cubic centimetre.

Step-by-step explanation:

$given \\ diameter \: of \: sphere = 6 \: cm \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{6}{2} \\ radius \: (r) = \: 3 \: cm \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = 3 \: cm \\ on \: substituting \: r \: = 3 \: \: in \: formula \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {3}^{3} \\ \: \: = \frac{4}{3} \pi \: 27 \\ \: = \: 4 \pi \times 9 \\ \: \: = 36\pi \\ \: \: = 113.097 \: {cm}^{3}$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

3 years ago

A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam

Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 65, \sigma = 8.2$

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

$Z = \frac{X - \mu}{\sigma}$

$-1.96 = \frac{X - 65}{8.2}$

$X - 65 = -1.96*8.2$

$X = 48.93$

The score that cuts off the bottom 2.5% is 48.93.

8 0

3 years ago

Read 2 more answers

Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2

lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93 (1)

2X + 4Y = 6.38 (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93) (1)

= 3 × (2X + 4Y = 6.38) (2)

= - (6X + 4Y = 9.86) (1)

= 6X + 12y = 19.14 (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

8 0

3 years ago

Find the negation of the proposition

murzikaleks [220]

In accordance with propositional logic, quantifier theory and definitions of simple and composite propositions, the negation of a implication has the following equivalence:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$ (Correct choice: iii)

<h3>How to find the equivalent form of a proposition</h3>

Herein we have a composite proposition, that is, the union of monary and binary operators and simple propositions. According to propositional logic and quantifier theory, the negation of an implication is equivalent to:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$

To learn more on propositions: brainly.com/question/14789062

#SPJ1

8 0

2 years ago

A turtle walks 12 feet in one hour. How many inches does the turtle walk in one hour?

blagie [28]

144 inches. 12 feet in one hour
12 inches per feet

12feet x 12 inches per foot= 144 inches

6 0

3 years ago

Make n the subject of the formulaa=mn 10