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3 years ago

6

Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b. (Remember that

all the way around a circle is 360°. Start by finding the measure of angle a in the figure on the left.)

1 answer:

cricket20 [7]3 years ago

6 0

Answer:

hope it helps

Step-by-step explanation:

have a great day

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The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale. Grade 7 Grade 8 20 21 15

Naddika [18.5K]

Answer:

1. The interquartile range for the grade 7 data is 6.

2. The interquartile range for the grade 8 data is 6.

3. The difference of the medians of the two data sets is 2.

4. The difference is about 1/3 times the interquartile range of either data set.

Step-by-step explanation:

The hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale is given by the following table.

Grade 7 Grade 8

20 21

15 29

30 14

24 19

18 24

21 25

The data set for grade 7 is

20, 15, 30, 24, 18, 21

Arrange the data in ascending order.

15, 18, 20, 21, 24, 30

Divide the data in four equal parts.

(15), 18, (20), (21), 24,( 30)

$Q_1=18, Median=\frac{20+21}{2}=20.5, Q_3=24$

The interquartile range for the grade 7 data is

$IQR=Q_3-Q_1=24-18=6$

Therefore the interquartile range for the grade 7 data is 6.

The data set for grade 8 is

21, 29, 14, 19, 24, 25

Arrange the data in ascending order.

14, 19, 21, 24, 25, 29

Divide the data in four equal parts.

(14), 19, (21), (24), 25, (29)

$Q_1=19, Median=\frac{21+24}{2}=22.5, Q_3=25$

The interquartile range for the grade 8 data is

$IQR=Q_3-Q_1=25-19=6$

Therefore the interquartile range for the grade 8 data is 6.

The difference of the medians of the two data sets is

$D=22.5-20.5=2$

Therefore the difference of the medians of the two data sets is 2.

Let the difference is about x times the interquartile range of either data set.

The IQR of each data is 6.

$D=x(IQR)$

$2=x(6)$

$\frac{2}{6}=x$

$\frac{1}{3}=x$

Therefore the difference is about 1/3 times the interquartile range of either data set.

8 0

3 years ago

Four graphs are shown below:

Rama09 [41]

I’m pretty sure the answer is D

4 0

3 years ago

Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no

Fofino [41]

Answer:

A unique triangle

Step-by-step explanation:

12+7 > 14

12 + 14 > 7

7 + 14 > 12

By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)

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4 years ago

A recipe uses 1 cup of sugar to make 6 cookies. If you want to make 30 cookies, how much sugar will you need? Use cups as your l

sergij07 [2.7K]

Answer:

the answer is 5 cups

Step-by-step explanation:

let x rep a cup of sugar

and y rep a cookie

and k be constant

x/kx=6y/30y

k=5

8 0

3 years ago

Will give Brainliest! Just correct answers with a full explanation. A Simple way to solve <img src="https://tex.z-dn.net/?f=4%5E

Amiraneli [1.4K]

$4^x-2\cdot5^{2x}-10^x>0$

$\implies 2^{2x}-2\cdot5^{2x}-(2^x)(5^x)>0$

let $2^x=a$ and $5^x=b$

So, $a^2-2b^2-ab>0$

divide by $b^2$, ($b^2>0$)

$\implies \left(\frac ab\right)^2-\left(\frac ab\right) -2>0$

this is a quadratic, in $\left(\frac ab\right)$, let it be $x$

So, $x^2-x-2>0$

Can you simplify it now?

8 0

4 years ago