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3 years ago

Please help me with this!

Mathematics

1 answer:

amm18123 years ago

7 0

Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle

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Please help! : What is the actual length of a window that is 1 1/4 inches long on a drawing with a scale of 1 inch= 6 feet? This

BabaBlast [244]

$\bf \begin{array}{ccllll}
model&actual\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&6\\
1\frac{1}{4}&x
\end{array}\implies \cfrac{1}{1\frac{1}{4}}=\cfrac{6}{x}
\\\\\\
1\frac{1}{4}\implies \cfrac{1\cdot 4+1}{4}\implies \cfrac{5}{4}\qquad thus
\\\\\\
$

$\bf \cfrac{1}{\frac{5}{4}}=\cfrac{6}{x}\implies \cfrac{\frac{1}{1}}{\frac{5}{4}}=\cfrac{6}{x}\implies \cfrac{1}{1}\cdot \cfrac{4}{5}=\cfrac{6}{x}\implies \cfrac{4}{5}=\cfrac{6}{x}
\\\\\\
x=\cfrac{5\cdot 6}{4}$

7 0

3 years ago

Rikki decided to collect data to determine if a runner's time and speed are correlated. She determined the data to have a correl

balandron [24]

The value of r indicates the negative correlation.

<h2>Given </h2>

Rikki decided to collect data to determine if a runner's time and speed are correlated.

She determined the data to have a correlation coefficient of -0. 5.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of the two variables.

She determined the data to have a correlation coefficient of -0. 5.

Here, the coefficient is negative which is -0.5.

This correlation coefficient indicates that there exists a weak negative correlation between the runner’s time and the speed.

This relation is negative because the correlation coefficient is negative.

Hence, The value of r indicates the negative correlation.

To know more about the Correlation coefficient click the link given below.

brainly.com/question/19043872

4 0

2 years ago

The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

7 0

3 years ago

To determine her power usage, Keri divides up her day into three parts: morning, afternoon, and evening. She then measures he

marusya05 [52]

Answer:

Stratified Sampling

Step-by-step explanation:

Since Keri divides the day into different strata and each unit is selected from each strata randomly. So, it is Stratified Sampling.

Further, In Stratified Sampling population is divided into several groups such that within the group it is homogeneous and between the group it is heterogeneous. And now a selection of each stratum and unit has an equal chance of selection.

3 0

3 years ago

PLEASE HELP!! I need this completed ASAP but I don't understand any of it!! It's due very soon!

lidiya [134]

Answer:

Step-by-step explanation:

a) you know interest is 22 and principal is 1000 and number of months is 1

b) I = rPm

r = I/Pm

c) r = 22 / 1000(1) = 0.022 /month or 2.2% per month

or 12(0.022) = 0.264 or 26.4 % per year.

d) interest is $15, loan period is 2 weeks which occurs once during the loan, interest rate is 10% per two weeks.

P = I/rm

e) P = 15 / 0.10 = $150

Notice that there are 52 weeks/yr / 2week loan period = 26 period in a year.

This means that the APR is 0.10(26) = 2.60 or 260% annual interest rate. Pretty good return on investment if you are the lender and can keep your money lent out. Not so good if you are the borrower.

6 0

2 years ago