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Salsk061 [2.6K]
4 years ago
8

At the market 2.4 pounds of carrots cost $1.68 and 1.8 pounds of broccoli cost $1.53 how much more does 1 pound of broccoli cost

than 1 pound of carrots
Mathematics
1 answer:
Cerrena [4.2K]4 years ago
5 0
Divided 1.68 by 2.4 = 0.7
1.53 divided by 1.8 = 0.85
0.85-0.7 = 0.15
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You factor by grouping and the answer is (3x-2)(x+1).
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Write the equation of the line shown in the graph in slope intercept form
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y= 4x +3

Step-by-step explanation:

slope= rise over run

y-intercept = where the line hits the y axis

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The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of
seropon [69]

Answer:

3125 cm

Step-by-step explanation:

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.

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5 0
3 years ago
David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.
Natalija [7]

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

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We are told that Frances gets $80 more than David. So we can write this information in an equation as:

9x=2x+80

Now let us solve for x.

9x-2x=80

7x=80

x=\frac{80}{7}

Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).

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Upon cancelling out 7 from numerator and denominator we will get,

\text{ Amount of money that Egil will get}=80  

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6 0
4 years ago
A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s
Cloud [144]

Answer:

z=\frac{13-20}{4}=-1.75

Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

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X \sim Binom(n=100, p=0.2)

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

P(X)=(nCx)(p)^x (1-p)^{n-x}

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We need to check the conditions in order to use the normal approximation.

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If we appply the approximation the new mean and standard deviation are:

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So we can approximate the random variable X like this:

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The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

If we replace we got:

z=\frac{13-20}{4}=-1.75

Let's assume that we conduct the following test:

H0: \mu \geq 20

H1: \mu

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

p_v = P(Z

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