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Alex777 [14]
3 years ago
10

0.234 is bigger or less than 0.76​

Mathematics
2 answers:
Katarina [22]3 years ago
8 0

Answer: 0.234 is less than 0.76

Step-by-step explanation:

0.234 can be rounded out to 0

0.76 can be rounded out to 1

Ilia_Sergeevich [38]3 years ago
3 0
Answer:
0.234 is smaller than 0.76

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Given that a cubit is equivalent to 17.7 in., find the volume of the ark in cubic feet.
Daniel [21]

Since an ark is 2.5 cubits in length and 1.5 cubits in width and height.

It is given that a cubit is equivalent to 17.7 in.

We have to determine the volume of the ark in cubic feet.

Since 1 feet = 12 inches.

Since, length = 2.5 cubits

= 2.5 \times 17.7 inches

= 44.25 inches

= \frac{44.25}{12}

= 3.7 feet

Now, width = 1.5 cubits

= 1.5 \times 17.7 inches

= 26.55 inches

= \frac{26.55}{12}

= 2.2 feet

Now, height = 1.5 cubits

= 1.5 \times 17.7 inches

= 26.55 inches

= \frac{26.55}{12}

= 2.2 feet

SO, Volume of rectangular prism = length \times width \times height

So, Volume of ark= 3.7 \times 2.2 \times 2.2

= 17.9

= 18 cubic feet.

Therefore, the volume of an ark is 18 cubic feet.

8 0
3 years ago
The cost of a Kit-Kat is $0.04 more than the cost of a Snickers. If you buy 4 Kit-Kats and 8 Snickers, the total cost is $12.76.
vivado [14]

Answer:

Step-by-step explanation:

go to the back of the book

4 0
3 years ago
A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,
slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is \frac{1}{2}, in the second is \frac{1}{4}, in the third is \frac{1}{8} and so on. Then, P(C) is given by the next sum:

P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1

This is a geometric series with factor \frac{1}{2}. Then is convergent to \frac{1}{1-\frac{1}{2}}-1=1.. With this we have proved that P(C)=1.

Now, observe that

P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.

Then

P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}

P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}

P(C1\cap C2)=P(TTTTH)=\frac{1}{32}

and

P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}

5 0
3 years ago
Keith decided to look for at new and used trucks. Keith found a truck for 45000 dollars. Typically a used truck goes for 40% of
Bond [772]

Answer:

A Used Truck Would Go For Around $18,000

Step-by-step explanation:

A used truck would go for around $18,000.

    The reason a used truck would go for around $18,000 dollars is because if a new truck costed $45,000, and a used truck usually goes for around 40% of that, all you have to do is multiply 45,000 by .40 to get 40% of 45,000.

    So, in conclusion, a used truck would cost about $18,000 because 40% of $45,000 is $18,000.

7 0
3 years ago
The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

6 0
2 years ago
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