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1 year ago

The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y).

2 answers:

8 0

Applying the rule for dilation, we will multiply the scale factor to its coordinates.
Having Q (0,2) and DO 0.5(x.y), the coordinates of Q' will be:

x = (.5)(0) = 0
y = (.5)(2) = 1

Therefore coordinates of Q' is (0,1)

*Having a scale factor of >1, the figure is said to be reduced.

pentagon [3]1 year ago

5 0

Answer:

(0,1)

Step-by-step explanation:

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Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is repres

Marina CMI [18]

<h3><u>Answer:</u></h3>

The function N(t) is given as:

$N(t)=3+(0.25t)^3-8(1.06)^t$

<h3><u>Step-by-step explanation:</u></h3>

Jenny studied the characteristics of two species of bacteria.

The number of bacteria of species A, A(t), after t hours is represented by the function:

$A(t) = 5+(0.25t)^3$

The number of bacteria of species B, B(t), after t hours is represented by the function:

$B(t) = 2 + 8(1.06)^t$

N(t) denotes the difference in the number of bacteria; hence N(t) is given by after t hours as:

N(t)=A(t)-B(t)

$N(t)= 5+(0.25t)^3-(2 + 8(1.06)^t)$

which on simplifying gives:

$N(t)=5+(0.25t)^3-2-8(1.06)^t\\\\N(t)=5-2+(0.25t)^3-8(1.06)^t\\\\N(t)=3+(0.25t)^3-8(1.06)^t$

Hence,

5 0

1 year ago

Read 2 more answers

In a survey of students, 80% were girls and 20% were boys. of the girls surveyed, 40% were wearing sneakers. if a surveyed stude

prisoha [69]

Answer:

$\frac{8}{25}$

Step-by-step explanation:

probability of selecting a girl from students is $\frac{4}{5}$

probability of girl wearing sneaker from girls is $\frac{4}{10}$ or $\frac{2}{5}$

hence, probability of selecting a girl wearing a sneaker will be,

⇒ probability = probability of delecting a girl from students × probability of girl wearing sneakers from girls

⇒ probability = $(\frac{4}{5})( \frac{2}{5})$

⇒ probability = $\frac{8}{25}$

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2 years ago

One box of crackers costs $1.75. The crackers are advertised as “3 boxes for $5.25.” Which proportion can be used to represent t

Daniel [21]

A. 1/1.75 = 3/5.25

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2 years ago

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Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t

Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.

The probability density function of <em>X</em> is:

$f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0$

The parameter of the exponential distribution is:

$\lambda=\frac{1}{\mu}=\frac{1}{4}=0.25$

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx$

$=0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821$

Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

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1 year ago

The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 inches. Heights of men are normally dist

Maksim231197 [3]

Answer:b)0.8577

Step-by-step explanation:

Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = heights of men

u = mean height

s = standard deviation

From the information given,

u = 69 inches

s = 2.8 inches

We want to find the probability that the mean height of the 100 men is less than 72 inches.. It is expressed as

P(x < 72)

For x = 72

z = (72 - 69)/2.8 = 1.07

Looking at the normal distribution table, the probability corresponding to the z score is 0.8577

P(x < 72) = 0.8577

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1 year ago