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3 years ago

Mrs. Wingate has 10 students in her math class. The line plot shows the number of hours students spent doing homework last week.

Mathematics

1 answer:

klio [65]3 years ago

8 0

A. 35 because of you look at the line plot it explains how long student are in there for and how many times a day. So you just need to figure out how many students do hw for how long and then multiply that by 10.

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Seven less than the product of three and a number c. Write as an expression

kobusy [5.1K]

(3*c)-7
The product of 3 and c means they would be multiplied and since it’s 7 less than you would subtract 7 from the product

6 0

3 years ago

Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly sele

Serhud [2]

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

$P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}$

$=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022$

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

3 0

3 years ago

A(t)=934(1/2)t/30 for 20 years and 100 years

vichka [17]

$\bf A(t)=934\left( \frac{1}{2} \right)^{\frac{t}{30}}\qquad \qquad \stackrel{t=20}{A(t)=934\left( \frac{1}{2} \right)^{\frac{20}{30}}\implies A(t)=934\left( \frac{1}{2} \right)^{\frac{2}{3}}}
\\\\\\
\stackrel{t=100}{A(t)=934\left( \frac{1}{2} \right)^{\frac{100}{30}}\implies A(t)=934\left( \frac{1}{2} \right)^{\frac{10}{3}}}$

nothing to it, t = year, and you can just plug that in your calculator.

3 0

3 years ago

alekssr [168]

The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.