All categories

3 years ago

Solve by factoring: 5t=t ^2

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

7 0

Answer:

t=0 and t=5

Step-by-step explanation:

5t = t^2

Subtract 5t from each side

5t-5t = t^2 -5t

0= t^2 -5t

Factor out a t

0= t(t-5)

Using the zero product property

t=0 and t-5 =0

t=0 and t-5+5=0+5

t=0 and t=5

You might be interested in

Which line is perpendicular to the line 2x-3y=12

Alexxx [7]

i would need to know the answer choices

8 0

3 years ago

Read 2 more answers

5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a

SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

the defective probability is constant and independent.
the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

Sample size (amount of clips in the package): n=20
Probability of defective clips: p=0.01.
number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

$P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169$

6 0

3 years ago

The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with

UNO [17]

Customer price index is the price index which measures the weight average of price of basket of customers goods or services. The reasonable estimate of the current customer price index is 195. The option B is the correct option.

Given information-

The data table for the given problem is attached below.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services. It can be given as,

$CPI_t=\dfrac{C_t}{C_0} \times 100$

Here $C_t$ is the cost of market basket in current period and $C_0$ is the cost of market basket in the base period.

Cost of market basket in current period is.

$C_t=126.85+29.95+2.25+44.25\\C_t=203.3$

Cost of market basket in 1983 is,

$C_0=67.45+15.25+1.15+22.85\\C_0=106.7$

Put the value in the customer price index formula,

$CPI_t=\dfrac{203.3}{106.7} \times 100\\CPI_t=190.5$

Thus the value of current CPI is 190.5 which is near about the 195.

Hence the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

brainly.com/question/25495502

3 0

2 years ago

What is the third quartile of this data set ? 14,18,20,21,25,32,40,44,48

kotykmax [81]

Step-by-step explanation:

Step 1 :

Given data set - 14,18,20,21,25,32,40,44,48

We need to get the 3rd quartile

Step 2 :

To find the quartile's , we have to divide the data set into 4 equal quarters.

The 3rd cut will give the 3rd quartile

Step 3:

The median of this data set is at 25, there are 4 numbers below and above it.

Now we take the 2nd half of the set , after the median and take the median of it.

There are 4 numbers in the 2nd half 32,40,44,48. Cutting this into 2 , we have the cut to fall between 40 and 44. Hence taking the average of this will give the 3rd quartile.

The average of 40 and 44 is 42 .

Hence the 3rd quartile is 42.

7 0

3 years ago

9.647 • 10 to the 7 power

DIA [1.3K]

Answer:

96470000

Step-by-step explanation:

Exact Form:

9.647 ⋅ 10^7

6 0

3 years ago