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2 years ago

One state leads the country in tart cherry production, producing 74 out of every 100 tart cherries each year.

1 answer:

3 0

A. The percent of cherries that are produced in the state is calculated by dividing the number of cherries produced in the state by the total number of cherries and multiplying the quotient by 100%.
r = (74 / 100) x 100% = 74%

B. The percent of cherries not produced in the state is equal to difference of the 100 and the answer in letter A. This is shown below.
s = 100% - 74%
s = 26%.

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Last year Boris paid £256 for his car insurance.

jenyasd209 [6]

Answer:

The percentage increase in the cost of Boris car insurance cost is 249%

Step-by-step explanation:

In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris

Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.

Mathematically, the percentage increase would be;

{(new value paid-old value paid)/old value paid} * 100%

From the question, we can identify that the old value paid is £256 while the new value paid is £894

Thus, the percentage increase would be ;

(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage

6 0

2 years ago

The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally

Alex Ar [27]

Answer:

(a) The distribution of X is N (9.8, 0.8²).

(b) The probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

Step-by-step explanation:

The random variable X is defined as the amount of sodium consumed.

The random variable X has an average value of, μ = 9.8 grams.

The standard deviation of X is, σ = 0.8 grams.

(a)

It is provided that the sodium consumption of American men is normally distributed.

The random variable X follows a normal distribution with parameters μ = 9.8 grams and σ = 0.8 grams.

Thus, the distribution of X is N (9.8, 0.8²).

(b)

If X ~ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z ~ N (0, 1).

To compute the probability of Normal distribution it is better to first convert the raw score (X) to z-scores.

Compute the probability that an American consumes between 8.8 and 9.9 grams of sodium per day as follows:

$P(8.8$

$=P(-1.25$

Thus, the probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c)

The probability representing the middle 30% of American men consuming sodium between two weights is:

$P(x_{1}$

Compute the value of z as follows:

$P(-z$

The value of z for P (Z < z) = 0.65 is 0.39.

Compute the value of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8-(0.39\times 0.8)\\x_{1}=9.488\\x_{1}\approx9.5$ $z=\frac{x_{2}-\mu}{\sigma}\\0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8+(0.39\times 0.8)\\x_{1}=10.112\\x_{1}\approx10.1$

Thus, the middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

4 0

1 year ago

If h(x)=3x-5 and g(x) =2x^2-7x, find (g•h)(x)

Murrr4er [49]

Answer:

The answer is 25.67and then you multiply by8 and get you 205.36

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

2 years ago

Which diagram represents a fraction equivalent to 75%?

Lapatulllka [165]

Answer:

Honestly i think i know which diagrams your talking about but if it there is an option that has 20 squares and only 15 are shaded then thats the one u choose I'm thinking that option is c

I hope this helps please mark me brainliest

7 0

2 years ago