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2 years ago

A cereal company puts toys into 40% of its cereal

Mathematics

1 answer:

nalin [4]2 years ago

7 0

Answer:

I'd say D

Step-by-step explanation:

Because it makes the most sense and it is the most notable one.

Correct me if I'm wrong.

Hope this helps :).

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June made a design with 6 equal tiles.One tile is yellow 2 tiles are blue and 3 tiles are purple. what fraction of the tiles are

lana66690 [7]

we know that

The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.

Let

N----------> total number of tiles

Y---------> number of yellow tiles

B--------> number of blue tiles

P--------> number of purple tiles

we have

$N=6\\ Y=1\\ B=2\\ P=3$

1) Find the fraction of yellow tiles

we know that

the fraction of yellow tiles is equal to

$Y/N$

substitute the values

$1/6$

2) Find the fraction of purple tiles

we know that

the fraction of purple tiles is equal to

$P/N$

substitute the values

$3/6$

3) Find the fraction of yellow tiles or purple tiles

we know that

the fraction of yellow tiles or purple tiles is equal to

$(Y/N)+(P/N)=(1/6)+(3/6)=4/6=2/3$

therefore

the answer is

$2/3$

3 0

2 years ago

Read 2 more answers

The Magazine Mass Marketing Company has received 14 entries in its latest sweepstakes. They know that the probability of receivi

pav-90 [236]

Answer:

0.8759 is the probability that no less than 4 of the entry forms will include an order.

Step-by-step explanation:

We are given the following information:

We treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 14

We have to evaluate:

$P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(x = 2) - P(x = 3) \\= 1 - (\binom{14}{0}(0.4)^0(1-0.4)^{14} + \binom{14}{1}(0.4)^1(1-0.4)^{13} + \binom{14}{2}(0.4)^2(1-0.4)^{12} + \binom{14}{3}(0.4)^3(1-0.4)^{11})\\=1-(0.0007+0.0074+0.0317+0.0846)\\= 0.8756$

0.8759 is the probability that no less than 4 of the entry forms will include an order.

6 0

2 years ago

Carly, sandi, cyrus and pedro have multiple pets. carly and sandi have dogs, while the other two have cats. sandi and pedro have

Stolb23 [73]

We use the Venn Diagram in order to answer this question. From the given in this item, we will be able to enumerate the pets each of them have.

Carly: dog
Sandi: dog, chicken, and rabbit
Pedro: cat, chicken, and rabbit
Cyrus: cat and rabbit

From the enumeration above, the answer to this item is Cyrus.

7 0

2 years ago

Jon and Jim are cutting a log Jon cut 1/5 of the log on one end while Jim cut 2/9 of the log on the other side.How much of the l

Nuetrik [128]

There is 26/45 of the log left.

5 0

2 years ago

Read 2 more answers

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

4 0

2 years ago