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r-ruslan [8.4K]
3 years ago
14

A model of a car is built with a scale of 1 inch : 4 feet. If the length of the model car is 2.7 inches, then the length of the

actual car is how many inches?
Mathematics
1 answer:
timofeeve [1]3 years ago
8 0

Answer:

10.8

Step-by-step explanation:

Just do 4 x 2.7

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Solve the system by substitution.<br> y = 3x + 14<br> y = X
lys-0071 [83]

Answer:

\boxed{x = -7~~and~~ y =-7}

Step-by-step explanation:

y = 3x + 14

y = x

.

x = 3x + 14

3x - x = -14

2x = -14

x = \frac{-14}{2}

x = -7

.

y = x

y = -7

4 0
3 years ago
Read 2 more answers
work out the total area of triangle ABC. calculate the area of AC. sides are:8.2cm and 13.5cm and angle 81 degrees
umka2103 [35]

Answer:

54.67 cm²

Step-by-step explanation:

Given that the two sides of Δ ABC are 8.2 cm and 13.5 cm and the angle included by those sides is 81°.

Let, b = 8.2 cm and c = 13.5 cm and ∠ A = 81°

Hence, area of triangle ABC, Δ = \frac{1}{2} bc \sin A

⇒ Δ = \frac{1}{2} bc \sin 81

⇒ Δ = \frac{8.2 \times 13.5 \times \sin 81}{2}

⇒ Δ = 54.67 cm² (Answer)

7 0
3 years ago
In a population where 77% of voters prefer Candidate A, an organization conducts a poll of 19 voters. Find the probability that
Rus_ich [418]

Answer:

P(X=14)=(19C14)(0.77)^{14} (1-0.77)^{19-14}=0.1928

Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%

Step-by-step explanation:

We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:

X \sim Binom(n=19, p=0.77)

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

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!}

For this problem we want to find this probability:

P(X=14)

And usign the probability mass function defined before we got:

P(X=14)=(19C14)(0.77)^{14} (1-0.77)^{19-14}=0.1928

Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%

3 0
3 years ago
4. Find the volume of the prism.<br> 3 mm<br> 4 mm<br> 4 mm
Alina [70]

Answer:

48

Step-by-step explanation:

3 times 4 times 4 = 48

4 0
3 years ago
Read 2 more answers
*Help i will upvote*Translate the word phrase into a variable expression.
DiKsa [7]
I'd go with
<span>  \frac{x}{3} -8</span>
6 0
3 years ago
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