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allochka39001 [22]

3 years ago

13

Using coupons you spell $91 grocery shopping this is 65% of the total retail price of groceries how much would you have spent if

you had not use the coupons

1 answer:

Andrews [41]3 years ago

3 0

$140 because

$91 divided by 65 is 1.4
1.4 times 100 is 140

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Which equation is the inverse of 5y+4 = (x+3)^2 + 1/2

Anna35 [415]

C. -5y -4 = -(x+3)^2 -1/2

Hope I am right.

3 0

3 years ago

Read 2 more answers

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

You are creating a decorative rope that is at least 20 feet long. You do not have enough 6 inch beads to make the rope, so you w

Inessa05 [86]

You can use at most 24 beads that are 10 inches long to decorate the rope.

Step-by-step explanation:

Given,

Length of rope = 120 feet

1 foot = 12 inches

20 foot = 20*12 = 240 inches

Length of bead = 10 inches

Let,

x represents the number of beads used on rope.

As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.

Length of each bead*Number of beads ≤ length of rope

$10*x\leq 240\\10x\leq 240$

Dividing both sides by 10

$\frac{10x}{10}\leq \frac{240}{10}\\x\leq 24$

You can use at most 24 beads that are 10 inches long to decorate the rope.

Keywords: inequality, division

Learn more about inequalities at:

#LearnwithBrainly

4 0

4 years ago

2) Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will res

Veronika [31]

Answer:

the answer should be c

Step-by-step explanation:

5 0

3 years ago

Lou Harris is guaranteed a minimum $275 weekly salary plus 5.25% of his total sales. What are his total sales for a week in whic

USPshnik [31]

Hope this is what you where looking for

3 0

4 years ago

Read 2 more answers