Let f(x-3) = x2- 2x+ 7, find f(-1)

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Answer: It could be (3, -3) (3,3) or (-3,-3)

Step-by-step explanation:

they are all 3 away.

Considering the uniform distribution, we have that:

a) The density curve is given by the image at the end of the answer.

b) The percentage of time in which an enemy will appear between 0.5 minutes and 2 minutes after the timer starts is of 60%.

c) The 20th percentile for the distribution is of 0.75 minutes.

The uniform probability distribution is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

In this problem, the bounds are given as follows:

a = 0.25, b = 2.75.

The height of the density curve is of:

f(x) = 1/(b - a).

Hence:

f(x) = 1/(2.75 - 0.25) = 0.4.

As shown by the image given at the end of the answer.

The probability that a measure is between two values is given by:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Hence, for item b:

P(0.5 < X < 2) = (2 - 0.5)/(2.75 - 0.25) = 0.6 = 60%.

The 20th percentile is the value of X for which:

X = a + 0.2(b - a).

Hence:

X = 0.25 + 0.2(2.75 - 0.25) = 0.75 minutes.

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As per the given cost of pounds of walnuts and chocolate chips , the cost of each pound of walnuts and chocolate chips is equal to $(13/4) and $(3/2) respectively.

As given in the question,

Let us consider the cost of each pound of walnuts is equal to $x.

And cost of each pound of chocolate chips is equal to $y.

Now as per the given condition system of equation is given by,

4x + 8y = 25  __(1)

2x + 3y = 11   __-(2)

Multiply (2) by 2 and subtract it from (1) we get,

4x + 8y = 25

4x + 6y = 22

0x + 2y = 3

⇒y = $(3/2)

Substitute value of y in (1) to get the value of x,

4x + 8(3/2) = 25

⇒4x = 25-12

⇒x = $(13/4)

Therefore, for the given cost of pounds of walnuts and chocolate chips , the cost of each pound of walnuts and chocolate chips is equal to $(13/4) and $(3/2) respectively.

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The Great Lakes are the world's largest group of freshwater lakes by total area and second-largest by total volume.

The Great Lakes, also known as the Great Lakes of North America or the Laurentian Great Lakes are a series of large interconnected freshwater lakes with sea-like characteristics in North America's mid-east region that connect to the Atlantic Ocean via the Saint Lawrence River.

Superior, Michigan, Huron, Erie, and Ontario are the names of five lakes that are located on or near the Canada-United States border. Lakes Michigan and Huron are joined hydrologically at the Straits of Mackinac. The Great Lakes Waterway allows for modern water travel.

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B.

The age of a person's systolic pressure is 130 mm Hg is 45.98 years.

P = 0.004[tex]y^{2}[/tex] - 0.01y + 122

substitute p = 130 mm

130 = 4/1000 [tex]y^{2}[/tex] - 1/100 y + 122

8 = 4[tex]y^{2}[/tex] - 10y / 1000

8000 = 4[tex]y^{2}[/tex] - 10 y

[tex]2y^{2} -5y -4000=0[/tex]

y = 45.98 years

Therefore the age of a person's systolic pressure is 130 mm Hg is 45.98 years.

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Answer: 2 real solutions

Step-by-step explanation:

The discriminant is [tex](-9)^2 -4(1)(3)=69[/tex].

Since the discriminant is positive, there are 2 real solutions.

Answer: $110 but that may be wrong

Step-by-step explanation:

The solutions of the inequality are given by:

x > -3

Here we have the following inequality:

-(4x - 5) + 16x > -31

To solve this, we need to isolate the variable x in one of the sides of the inequality, so let's do that.

-(4x - 5) + 16x > -31

-4x + 5 + 16x > -31

(-4 + 16)*x + 5 > -31

12x + 5 > -31

12x > -31 - 5

12x> -36

x > -36/12

x > -3

So all the values of x that are larger than -3 are solutions of the inequality.

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Answer: 2%

Step-by-step explanation:

First, we know that the experimental value is 13.3, and the true value 13.6. After plugging in, we get |13.3 - 13.6| = -0.3 which is just 0.3 as it is the absolute value. Then, we divide it by 13.6 which brings us the equation 0.3/1.36 which rounds to 0.022. Continuing, we multiply it by 100 which gets our answer of 2.2. The nearest percent is 2, so our answer is 2 percent.

The rate of the boat in still water is 45.5 km/hr and  the rate of the current is 100.5 km/hr.

A motorboat travels 74 km in 2 hours going upstream.

Rate = Distance/time

Rate = 74 /2

Rate = 36 km/hr

It travels 110 km going downstream

Rate = Distance/time = 110/2

Rate  = 55 km/hr

Equations:

Upstream: b-c = 36 km/hr

Downstrm: b+c = 55 km/hr

Add and solve for b

2b = 36 km/hr + 55 km/hr

2b = 91 km/hr

Divide both side by 2b

b = 91 km/hr /2

b = 45.5 km/hr (speed of the boat)

Solve for c

b+c = 55

45.5+ c = 55

c = 55 + 45.5

c = 100.5 km/hr (speed of the current)

Therefore  45.5 km/hr  and  100.5 km/hr are the speed.

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Answer:

10 and 11

or

-11 and -10

Step-by-step explanation:

The error interval for m is 6.58 ≤ m < 6.59

Truncation is a process of dropping all decimal places after a certain point without rounding the number.

Given that, the mass, m, of the lorry is 6.58 tonnes truncated to 2 decimal places.

Since the number is truncated to two decimal places, the error interval is,

6.58 ≤ m < 6.59

Hence, the error interval for m is 6.58 ≤ m < 6.59.

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The probability that a teenager selected at random is female and their favourite hobby is watching films is 1/4.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the information given, there is a total of 32 teenagers. Of those, 8 are female with a favorite hobby of watching films.

Therefore, the probability will be:

= Female who watch films / Total teenagers

= 8/32

= 1/4.

The probability is 1/4.

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Complete question

A group of teenagers is asked about their favorite hobbies. The results are shown in the following table: Sports Playing video games Watching films Total

Male 9 2 3 14

Female 7 3 8 18

Total 16 5 11 32

Q6a. In fractions, what is the probability that a teenager selected at random is female and their favourite hobby is watching films? You can simplify this fraction if you wish.

Answer:

10,172 women

Step-by-step explanation:

47093 / 50 = 941.86

So 941.86 lots of 50 women

941.86 x 10.8 = 10172.088 women

rounded to 10,172 women

( can't have part of a person

The finance charge on the average daily balance for , this 1 month period is $3.45  .

In the question ,

it is given that ,

the daily balance over the period of 1 month = $145

The APR rate of interest = 28.5%

the monthly APR rate of interest = (28.5%)/12 = 2.375%

the finance charge for the 1 month period can be calculated using the formula .

finance charge = (daily average balance)×(monthly rate of interest)

Substituting the values , we get

finance charge = 145 × 2.375%

= 145 × 0.02375

= 3.44375

≈ 3.45

Therefore , The finance charge on the average daily balance for , this 1 month period is $3.45  .

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Answer:

4/3 or 1.333333

Step-by-step explanation:

With a correlation coefficient of 0, A. I can’t be confident at all; this is about as close to a random guess as you can get.

A correlation coefficient measures the strength of the linear relationship between two variables.

Correlation coefficients usually range between -1 to 1, and they show how one variable moves in relation to another.

A positive correlation coefficient indicates that the two variables move uniformly in the same direction, while a negative correlation coefficient shows the opposite.

A zero correlation coefficient shows no linear relationship between the two variables.

Thus, if the correlation coefficient is 0, then Option A is correct.

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Mazda was traveling faster than Ford Explorer by 0.57 miles per hour.

We know that the relation between distance, speed, and time is given by:

distance = speed * time

speed = distance / time

We are given;

A Mazda traveled 326 miles in 7 hours.

A Ford Explorer traveled 230 miles in 5 hours.

Let us find the rate or speed one by one:

For Mazda;

Distance = 326 miles

Time = 7 hours

Rate = distance / time = 326 / 7 mile per hour = 46.57 mile per hour

For Ford Explorer;

Distance = 230 miles

Time = 5 hours

Rate = distance / time = 230 / 5 mile per hour = 46 mile per hour

We can analyze that Mazda was traveling faster than Ford Explorer.

Thus, Mazda was traveling faster than Ford Explorer by 0.57 miles per hour.

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Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{m-n}[/tex]

then

[tex]\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }[/tex]

= [tex]3^{\frac{4}{9}-\frac{2}{9} }[/tex] ← first expression

= [tex]3^{\frac{2}{9} }[/tex] ← third expression

Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.

Given that Jon jumped 1 inches below the qualifying height, but his friend Anthony

made it to 2 inches above the qualifying height.

In this case, the difference in the jump will be gotten by subtracting the values. This will be illustrated as:

= Anthony's jump - Jon's jump

= 2 - (-1)

= 2 + 1

= 3

Therefore, Jon was 3 inches lower.

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Answer:

0.075%

Step-by-step explanation:

Answer:

1.57500 US$

Step-by-step explanation:

You equation looked like this:

$1.50; + 5% so guugle thought something else it should be:

$1.50 + 5% without the " ; "

The ammount of 5% = 0.075

Since your adding the 5% or 0.075 it would be =

1.50 + 0.075 = 1.57500

y'all get it now?

Answer: They have to climb 11,535 ft.

Step-by-step explanation:

To solve this equation, we need to do this equation:

29,035 ft - 17,500 ft.

29,035 ft - 17,500 ft = 11,535 ft.

The fraction in lowest terms or a decimal rounded to the nearest tenth is 0.0096.

Given that,

A normal 52-card deck is used to randomly select three cards.

We have to find the probability that a spade, a black card, and a ten will be dealt as the first, second, and third cards, respectively.

Three cards are drawn with replacement from a standard deck so for the first one i.e heart , probability is (13/52)=0.25

for 2nd one i.e red it is (26/52)=0.5

for 3rd one i.e queen  it is (4/52)=0.0769

thus, the answer is 0.25*0.5*0.0769=0.0096

Therefore, The fraction in lowest terms or a decimal rounded to the nearest tenth is 0.0096.

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Answer:

[tex]1+\sqrt{1190}[/tex] and [tex]\sqrt{1190}-11[/tex]

Step-by-step explanation:

Let the length in meters be [tex]l[/tex]. Then, the width is [tex]l-12[/tex].

[tex]l(l-12)=1189 \\ \\ l^2-12l=1189 \\ \\ l^2-2l-1189=0 \\ \\ l=\frac{2 +\sqrt{(-2)^2-4(1)(-1189)}}{2(1)} \text{ } (l>0) \\ \\ l=1+\sqrt{1190} \\ \\ \implies l-12=\sqrt{1190}-11[/tex]

The binomial distribution is a parametric probability distribution with two parameters, X and B. For a large number of trials, n, binomial probability tends to follow a continuous normal probability distribution.

The binomial distribution is a type of probability distribution that models the likelihood of one of two outcomes given a set of parameters. It sums up the number of trials when each trial has the same chance of achieving a single outcome.

Therefore,

The following is the definition of the Binomial distribution's probability mass function:

P (X = x) = (n x)p x(1p)n x, where x = 0, 1, 2, 3,..., n

Given,

Probability of defective, p = 0.03

Number of bulbs, n = 144

(i) The required probability is P(X = 5).

P(X = 5) = (1445) 0.035(1 − 0.03)144 − 5

= 144151 × (144 − 5) 1 × 0.035(1 − 0.03)144 − 5 ≈ 0.169

Within a carton of 144 bulbs, there is a 0.169 percent chance that 5 of them will be defective.

(ii) The required probability is P(X>2).

P(X>2) = 1 − P(X≤2)

= 1 − P(X = 0) − P(X = 1) − P(X = 2)

= 1 − 144101 × (144 − 0)10.030

Then simplifying,

(1 − 0.03)144 − 0 − 14411 × (144 − 1) 10.031 (1 − 0.03)144 − 1 − 14412 × (144 − 2)10.032 (1 − 0.03)144 − 2

= 1 − 0.01245 − 0.0554 − 0.1226

= 0.810

There is a 0.810 percent chance that there will be more than two faulty bulbs in a carton of 144 bulbs.

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{(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

When one magnitude depends on another, the relationship between them is known as a mathematical function. So long as they are uniquely and solely connected.

Every mathematical function is the relationship between an element of group A and an element of group B. Consequently, the following algebraic expression can be used to represent this function:

Therefore, the {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.

The complete question is given below,

Which relation describes a function? What makes it a function?

A) {(-2,3),(-2,5),(-6,7)} Each member of the range is unique.

B) {(2,3),(3,3),(3,4)} Each member of the domain and range is positive.

C) {(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.

D) {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.

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