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4 years ago

Latasha went to the fabric store and bought 3 1/4 yards of red fabric and 3 1/2 yards of blue fabric. how many yards of fabric d

id latasha buy altogether? a student solved the problem this way:3 1/4 3 1/2 3 1/4 3 2/4=6 3/4 latasha bought yards of fabric. 6 3/4 use a similar strategy to solve this problem. casey went to the fabric store and bought 2 2/3 yards of yellow fabric,3 1/9 yards of purple fabric, and a pair of 5 1/5 inch scissors. how many yards of fabric did casey buy altogether?
a. yards
b. yards
c. yards
d. yards

Mathematics

1 answer:

Lynna [10]4 years ago

6 0

$2 \dfrac{2}{3} + 3 \dfrac{1}{9} = 2 \dfrac{6}{9} + 3 \dfrac{1}{9} = 5 \dfrac{7}{9}$

$\bf \text {Answer : } 5 \dfrac{7}{9} \text { yards of fabric}$

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What is the y-intercept?<br> y-3=1\2(x+2)

Margaret [11]

Y-3=1/2(x+2)

To find the y-intercept, we must first get the equation in slope intercept form. Start off by distributing 1/2 into the parentheses.

y-3= 1/2x+1
Add 3 to both sides

y= 1/2x+4

The slope is whatever is in front of x, in this case, 1/2. The y-intercept is the number after that which would be 4

6 0

3 years ago

A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067$

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is made

c) What is the probability that seven people make a purchase in the next four minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

$\mu = 4*5 = 20$

We have to find P(X = 7).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005$

0.05% probability that seven people make a purchase in the next four minutes

8 0

4 years ago

X²-7=0 extracting square roots

Irina-Kira [14]

Answer:

x = ± $\sqrt{7}$

Step-by-step explanation:

Given

x² - 7 = 0 ( add 7 to both sides )

x² = 7 ( take the square root of both sides )

x = ± $\sqrt{7}$

4 0

3 years ago

What is the equation of the line in standard form?

horsena [70]

First, figure out the slope of the line by solving for the slope between the two given coordinates.

Slope = y2 - y1 / x2 - x1

Substitute the coordinates.

Slope = 2 - (-4) / 2 - (-1)

Slope = 2 + 4 / 2 + 1

Slope = 6 / 3

Slope = 2

So, the slope of the equation here is 2.

Next, look for the y-intercept. You can find the y-intercept by looking on the graph. At what coordinate does the line intersect or cross the y-axis? By looking at the graph, you can see that the line intersects the y-axis at the coordinate point (0, -2). So, your y-interceot is -2.

Now, choose the equation that has a slope of 2 and a y-intercept of -2.

Remember that the standard form of any given linear equation should be in slope-intercept form.

y = mx + b

Substitute the slope and y-intercept

y = 2x - 2

By doing this, you can eliminate choices 1 and 4 because the equation should have 2x to represent the slope of 2.

The best choice is 2x - y = 2.

You have a slope of 2x and if the equation is put in standard form you would have a y-intercept of -2.

Solution: 2x - y = 2

4 0

4 years ago

Read 2 more answers

Find the measures of angles a=(2x+3) and b=(2x-3),if their sum is 120 degrees

Ira Lisetskai [31]

Answer:

angle A is 63 degrees,

angle B is 57 degrees

Step-by-step explanation:

first, let's create the equation. Pretty simple, because angles a and b become 120 degrees when added up, this this will become:

2x+3+2x-3=120

now, we make it simpler. In this case, just add up the numbers that we can add up. this eventually becomes:

4x=120

now, all we need to do is divide 120 by 4, which becomes 30. So, x=30.

substitute the 30 into the x in the original equation, and this becomes:

60+3+60-3=120

63+57=120

thus, angle A is 63 degrees, and angle b is 57 degrees.

8 0

2 years ago