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Vera_Pavlovna [14]
3 years ago
15

Make n the subject of the formulaa=mn    10

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0
A=mn

-Divide both sides by m

a/m=n
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The volume in cubic centimeters of a sphere whose diameter is 6 centimes is ?
aivan3 [116]

Answer:

<em>Volume</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>sphere</em><em> </em><em>is</em><em> </em><em>36</em><em>π</em><em> </em><em>(</em><em>or</em><em>)</em><em> </em><em>113</em><em>.</em><em>097</em><em> </em><em>cubic</em><em> </em><em>centimetre</em><em>. </em>

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}

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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 <em>propositional</em> logic, <em>quantifier</em> theory and definitions of <em>simple</em> and <em>composite</em> 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 <em>composite</em> proposition, that is, the union of <em>monary</em> and <em>binary</em> operators and <em>simple</em> propositions. According to <em>propositional</em> logic and <em>quantifier</em> 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
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