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4 years ago

Find the area of a triangle when a=78 degrees b=14 c=12

Mathematics

2 answers:

DanielleElmas [232]4 years ago

8 0

I hope this helps you

Area=1/2.b.c.sinA

Area=1/2.14.12.sin78

Area=84.0,97

Area=82,1

alexira [117]4 years ago

6 0

The formula to solve the area for all triangles is Area= Base x Height or A=BxH.

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Please help me! <br> please answer all questions

erastovalidia [21]

1) Distance = speed x time
time = distance/speed

time = 8054/715 = 11.26 hours or 11 h and 15 minutes (0.26 x 60 = 15.6)

2) The mode in a statistical series is the number that is repeated most or in short the highest frequency. In you example we notice that 12 is repeated twice, whereas the others are not repeated. Then the mode is 12.

3) The cost of each game = $17.99, so with his $65 he can buy:
65/17.99 = 3.61 . Obviously he can't buy 0.61 game, then he can buy
only 3 games (3 x 17.99 = $53.97) and keep in his pocket :
65 - 53.97 = $11.03

3 0

3 years ago

If the temperature after 4.4 degree drop was -2.5 degrees Celsius what was the temperature at noon

Lostsunrise [7]

Answer:

1.9°C

Step-by-step explanation:

Let X be the temperature at noon and -2.5°C be the current temperature after the drop.

-We calculate temperature at noon as:

$\bigtriangleup =t_o-t_n\\4.4=X--2.5\\\\X=4.4-2.5\\\\=1.5\textdegree C$

Hence, the temperature at noon was 1.9°C

5 0

3 years ago

3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa

Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 15000, p = 0.09$

$\mu = E(X) = np = 15000*0.09 = 1350$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05$

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

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

$Z = \frac{1499 - 1350}{35.05}$

$Z = 4.25$

$Z = 4.25$ has a pvalue of 1.

1 - 1 = 0

0% probability that at least 1,500 will agree to respond

6 0

4 years ago

PLEASE HELP WILL MARK BRAINLIEST..Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has th

Svetlanka [38]

A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14

<h3>What is a polynomial function?</h3>

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.

A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.

x= -2, x=7

Given,

P(x) = 0

This polynomial function has the roots,

x= -2, x=7

So,

(x+2)(x-7)

We have to multiply both of them we get,

P(x)=(x+2)(x-7)

0=x²-5x-14

x²-5x-14=0

Therefore, P(x)=x²-5x-14 is the polynomial function.

To know more about polynomial function, visit:

brainly.com/question/12976257

#SPJ1

6 0

1 year ago

You plan on buying new flooring for your bedroom. Your bedroom is a rectangle that is 12.7 ft. by 14.25 ft. How many square feet

joja [24]

Answer:

180.975 square feet

Step-by-step explanation:

est: 181 square feet

4 0

3 years ago