The following set of coordinates represents what figure?<br><br> (5,5), (7,3), (3,0), (1,2)

A worker at a mill is loading 5-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 8 bags of flour. If

Kitty [74]

10 bags of flour on fulfill

5 0

3 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".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

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

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

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

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

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

$np=100*0.2=20 \geq 10$

$n(1-p)=20*(1-0.2)=16 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

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

$E(X)=np=100*0.2=20$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4$

So we can approximate the random variable X like this:

$X\sim N(\mu =20, \sigma=4)$

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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:

$p_v = P(Z$

5 0

3 years ago

HELP FAST PLEASE! FOR BRAINLIEST!!

Gekata [30.6K]

Answer:

1. C-surface area

2. The formula V = B x h is not suitable, because the surface area of wrapping paper needed to be calculated, not the volume.

V = Ph + 2B = 15x(5+6+9) + 2x 9x3/2 = 327

3. B: Base area

H: Height of solid

4. She said V =220, while V_real = 7x6x4 =168

=> She is wrong

5. Check the Pythagorean theorem 3^2+4^2 =9+16 =25 =5^2

=> Right triangle.

=> Area = 3x4/2 =6

4 0

3 years ago

Can somebody who is good at Math help me with this question please?...

Rus_ich [418]

By HA (hypotenuse is the same and angles are equal)

3 0

3 years ago

Express 19.79 as a mixed number.

sergey [27]

Write the decimal number as a fraction
(over 1)
19.79 = 19.79 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator = 19.79 × 10 × 10 = 1979

Denominator = 1 × 10 × 10 = 100

Numerator / Denominator = 1979 / 100

Simplifying our fraction

= 1979/100

= 1979/100

= 19 79/100

6 0

3 years ago

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The following set of coordinates represents what figure? (5,5), (7,3), (3,0), (1,2)