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2 years ago

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If 1/6 of the books in the library are cookbooks and 2/5 of the cookbooks are vegetarian cookbooks what fraction of the books in

the library are vegetarian cookbooks
A. 1/30 B. 1/15 C. 1/2 D. 3/10

2 answers:

Serga [27]2 years ago

8 0

Answer:

A. 1/30 of the cookbook

STALIN [3.7K]2 years ago

6 0

Answer:

1/15

Step-by-step explanation:

Took the quiz

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Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same

Zolol [24]

Answer: The students can be divided into 7 groups.

Each group will have 3 boys and 8 girls.

Step-by-step explanation:

There are 21 boys and 56 girls.

To divide them so that each group has the same number of both boys and girls.

We find GCD(21,56).

21 = 3 x 7

56 = 2 x 2 x 2 x 7

GCD (21,56) = 7

So, the students can be divided into 7 groups.

Number of girls in each group = $\dfrac{56}{7}=8$

Number of boys in each group = $\dfrac{21}{7}=3$

So, each group will have 3 boys and 8 girls.

5 0

2 years ago

A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is n

pantera1 [17]

Answer:

p=0.063

Step-by-step explanation:

Let X be number of the certain brand of jelly beans that are made so that each package contains about the same number of beans.

X is N(375, 8)

YOu are collecting a sample size of

n = 8

Findings from the sample

$\bar x =370\\$

$H_0: \bar x =375\\H_a: \bar x$

(Left tailed test at 5% level)

Since sample size is small though sigma is known we use Z test, since norm

Mean difference = -5

Std error = $\frac{8}{\sqrt{8} } =2.828$

Test statistic t = mean diference / std error = $\frac{-5}{2.828} \\=-1.768$

df = n-1 =5

p value = 0.063

7 0

2 years ago

The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour

ikadub [295]

Mean = 12000
Standard Deviation = 2000

We have to find how many standard deviations is 14,500 away from the mean.
This can be achieved by calculating the z-score

Z-score tells us how many standard deviations above or below is a sample value from the mean. A positive z value shows, sample value is above the mean.

z score can be calculated as = (Sample Value - Mean )/Standard Deviation)
So,
Z-score = $\frac{14500-12000}{2000} =1.25$

This means, 14,500 is 1.25 standard deviations above the mean value 12,000.

4 0

2 years ago

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8% of the employees at a shop work part time. If there are 4 part time employees at the shop, how many employees are there in to

Murljashka [212]

Answer:

50 employees

Step-by-step explanation:

We can set up a proportion which would be

4/x = 8/100

This shows 4 out of x people is the same as 8% of 100.

We divide 100 by 8, and then multiply by 4 to get 50.

We can check this by plugging 50 into the proportion.

4/50 = 0.08

8/100= 0.08

There are 50 total employees at the shop.

4 0

2 years ago

If CX = 5 units, then DZ = ___ units

gulaghasi [49]

Answer:

$DZ=4\ units$

Step-by-step explanation:

we know that

If CD is parallel to XZ

then

Triangle XYZ is similar to Triangle YCD

therefore

The ratio of their corresponding sides are equal

$\frac{XY}{CY}=\frac{ZY}{YD}$

we have

CX=5\ units, CY=25\ units, YD=20\ units,

$XY=CX+CY$

$XY=5+25=30\ units$

$ZY=YD+DZ$

$ZY=20+DZ$

substitute the values

$\frac{30}{25}=\frac{20+DZ}{20}$

$20\frac{30}{25}={20+DZ}$

$24={20+DZ}$

$DZ=4\ units$

5 0

2 years ago

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