Ask question

Ask question

All categories

2 years ago

11

Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric, plus 20% extra fabric. Dere

k bought 3 yards of fabric, plus 25% extra. Who bought more fabric? How much more?

2 answers:

Lyrx [107]2 years ago

5 0

20% = 0.2
(5 * 0.2) + 5
5 * 0.2 = 1
5 + 1 = 6

25% = 0.25
(3 * 0.25) + 3
3 * 0.25 = 0.75
3 + 0.75 = 3.75

6 - 3.75 = 2.25

Jessica bought 2.25 yards more material than Derek.

Ilya [14]2 years ago

4 0

Jessica, 1yard, 2feet, and 6inches

You might be interested in

Nadya [2.5K]

Draw the DE ray away from the BAC angle is the next step to copy the BAC angle

<h3>Further explanation </h3>

Angles can be formed from two ray lines that have the same starting point

Commonly used terms include foot angle, corner point, and angle size

The magnitude of the angle is usually expressed in degrees

Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters

There are several steps used to copy the BAC angle:

1. Draw the DE line

2. Draw a circle using the circle tool with center A. The circle will intersect the lines BA and BC at points F and G

3. Use the segment tool to create a segment from the circle radius that has been created
4. Use the Compass tool and select the segment from the AG radius
5. Make a circle with center point D, with the same radius as AG

6. Mark the intersection of the circle with the intersection of the DE as H

7. Create the FG segment, and use the compass tool to select the FG segment

8. Create a circle with center H, which will intersect the circle with center D earlier at the point I

9. Draw the DI line

Then the BAC is congruent to the HDI

<h3>Learn more</h3>

circumference of the circle

brainly.com/question/8929610

chord, diameter

brainly.com/question/9969022

the steps for constructing a copy of an angle

brainly.com/question/4292471

Keywords: circle, copy of an angle, segment tool, compass tool, radius

8 0

2 years ago

Read 2 more answers

There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7.5 and the standard de

kirill [66]

0.17 sense you have to round it to the nearest hundreth

5 0

2 years ago

Read 2 more answers

A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture chromium sh

denpristay [2]

Answer:

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.

This means that $\mu = 118, \sigma = 8$

Sample of 16 shells

This means that $n = 16, s = \frac{8}{\sqrt{16}} = 2$

What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"

This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.

X = 120

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{120 - 118}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.841

X = 116

$Z = \frac{X - \mu}{s}$

$Z = \frac{116 - 118}{2}$

$Z = -1$

$Z = -1$ has a pvalue of 0.159

0.841 - 0.159 = 0.682

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

3 0

2 years ago

Shalise competed in a jigsaw puzzle competition where participants are timed on how long they take to complete puzzles of variou

Sholpan [36]

Answer:

16% on the small puzzle and 84% on the large puzzle.

Step-by-step explanation:

3 0

2 years ago

Draw the graphs of the functions y=1.2x+.9 and y=−1.3x+4.4. Using the graph, locate the points of intersection of the two graphs

jasenka [17]

To draw a graph of any linear function you need two points only. We usually use x and y intercepts because these are easiest to work with.
To find x-intercept we set y to be 0. This is also called zero of a function. Let us find x-intercepts for those two functions:
$y=1.2x+0.9$
$y=-1.3x+4.4$
Now we simply set y=0 and solve for x:
$0=1.2x+0.9$
$0=-1.3x+4.4$

$1.2x=-0.9$
$1.3x=4.4$

$x=-0.75$
$x=3.4$
Now we need to find y-intercepts. To do this we simply set x to be zero.
$y=1.2x+0.9$
$y=-1.3x+4.4$

$y=0.9$
$y=4.4$
Graphs of our functions are not defined by these two points.
$y=1.2x+0.9; (0,-0.75),(0.9,0)$
$y=-1.3x+4.4; (0,3.4),(4.4,0)$
To draw a graph you simply draw a line through these two points.
To find intersection we can use a fact that at the point of intersection both functions have the same value. We can write that down mathematically this way:
-1.3x+4.4=1.2x+0.9
Now we need to solve for x. This will give us an x coordinate of the intersection point.
$2.5x=3.5$
$x=1.4$
Now we simply plug in these value of x in any function to obtain y coordinate of the interception point.
$y=1.2x+0.9$
$y=1.2(1.4)+0.9$
$y=2.6$
Our intersection point the following coordinates (1.4,2.6).
I have attached the graph with all the points that we calculated highlighted.

7 0

2 years ago