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damaskus [11]
3 years ago
14

Really struggling! Will give 20 points to answers correctly

Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0

Answer:

8,820

Step-by-step explanation:

One candle:

½ × 10 × 7 × 6

= 210 cm³

42 candles:

42 × 210

= 8,820 cm³

Stolb23 [73]3 years ago
8 0

Answer:

8820 cm^3

Step-by-step explanation:

Volume of one prism = A(base prism)*height(prism)

A(base prism)= A(triangle) = 1/2*(base triangle)*Height(triangle)= 1/2*10*7 = 35 cm^2

Volume of one prism(or one candle) = A(base prism)*height(prism)= 35*6=210 cm^3

Volume of 42 candles = 210*42= 8820 cm^3

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worty [1.4K]

if there are 300 raffle tickets and one raffle ticket is drawn, the proabability of drawing the next one is 1 in 299 because there is one less ticket from the previous win

7 0
3 years ago
How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0
3 years ago
Jasmine cell phone company charges her $35 a month for phone service plus $.50 for each text message how many text messages does
aksik [14]
She would be able to send 34 messages
7 0
3 years ago
Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
The slope of the line below is -3. Which of the following is the point-slope
Anna [14]

Given:

The slope of the line is -3.

The line passes through the point (2,-2).

To find:

The point-slope form of the line.

Solution:

Point slope form: If a line passes through the point (x_1,y_1) with slope m, then the point-slope form of the line is:

y-y_1=m(x-x_1)

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:

y-(-2)=-3(x-2)

y+2=-3(x-2)

Therefore, the required point slope form of the given line is y+2=-3(x-2).

5 0
3 years ago
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