Which of the given formulas for the general term of the sequence 8, 5, 2, –1, –4, ...

is correct?
a. tn = −3n + 11
b. tn = 3n + 11
c. tn = 3n + 8
d. tn = 3n − 8

Answer:

4/3 or 1.333333

Step-by-step explanation:

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

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

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 solution to 4 divided by 3.48 is 0.87

Division in mathematics is the method of dividing large numbers into smaller numbers or par

Step 1: Rewrite the question in mathematical terms then

[tex]\frac{3.48}{4}[/tex]= 0.87

Therefore, answer to the division  is 0.87

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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.

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:

7:43 or [tex]\frac{7}{43}[/tex]

Step-by-step explanation:

The total is 43     7 + 36

Answer:

7:43

Step-by-step explanation:

36+7 = 43

43 is the total amount of people that were polled

those who don't like shopping are 7, as stated in the question

the ratio is 7:43

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:

10 and 11

or

-11 and -10

Step-by-step explanation:

Based on the Federal Housing Administration's (FHA) total fixed payments-to-income ratio, Roberto would not qualify for the mortgage loan.

The Federal Housing Administration (FHA) allows 31% of a person's income to settle housing costs (as the front-end ratio) and 43% (as the back-end ratio) towards housing expenses and other long-term debt.

Monthly gross income = $3,500

Monthly payments for Housing:

Monthly mortgage = $1,000

Property taxes = $150

Homeowners insurance premium = $75

Mortgage insurance premium = $75

Total monthly housing costs = $1,300

Other monthly debts per month = $500

Total monthly payments = $1,800

Minimum front-end ratio = 31% = $1,085 ($3,500 x 31%)

Maximum back-end ratio = 43% = $1,505 ($3,500 x 43%)

Thus, using the FHA fixed payments-to-income ratio, Roberto would not qualify.

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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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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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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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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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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.

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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Answer:

Step-by-step explanation:

The given steps describe constructing a parallel line using a compass and straightedge given line  and a point E that is not on line .

Step 1: Draw a line through point E that intersects line , and label the point of intersection, C.

Step 2: Place the point of the compass on C and draw an arc that crosses both lines.

Step 3: Without adjusting the compass width, move the compass to point E and draw an arc that has a similar orientation to the first arc drawn.

Step 4: Set the compass width to where the lower arc crosses the two lines.

Step 5: Move the compass point to the upper arc on the intersection of the arc and line .

Step 6: Draw an arc so it intersects the bottom of the arc. Label the intersection D.

Step 7: Use a straightedge to connect points E and D to form the parallel line .

so the answer is Place the point of the compass on C and draw an arc that crosses both lines

Answer: $110 but that may be wrong

Step-by-step explanation:

Answer:

[tex] {2}^{ - 5} [/tex]

Step-by-step explanation:

Please see picture on how to do it

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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The p-value of this sample proportion is equal to 0.0360.

At the 0.01 (1%) significance level, there isn't enough evidence to conclude that freshmen students study less than 2.5 hours per day, on an average.

For this statistical study, we would use a t-test statistic and the null and alternative hypotheses would be given by:

H₀: p ≥ 150 minutes

H₁: p < 150 minutes

Mathematically, the t-test statistic can be calculated by using this formula:

[tex]t=\frac{x\;-\;\mu}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

Substituting the given parameters into the formula, we have;

t-test, t = (135 - 150)/(44/√30)

t-test, t = (-15)/8.0333

t-test, t = -1.8672

From the t distribution table, the p-value is given by:

p-value = P(t < -1.8672)

p-value = 0.0360

Since the p-value (0.0360) is greater than the significance level (0.01), we fail to reject the null hypothesis because there is insufficient evidence to claim that the mean time of the freshman students is less than 2.5 hours per day.

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The number of revolutions = Total distance divided by its circumference

The radius of the tire is 1.167 yards.

A circle is a two-dimensional figure with a radius and circumference of
2πr.

The area of a circle is given as πr².

We have,

The number of revolutions = Total distance divided by its circumference

Total distance = 200 yards

Revolutions = 27.28

A tire is in the form of a circle.

So,

The circumference of the tire.

= 2πr

Now,

27.28 = 200 yards / 2πr

2πr = 200 yards / 27.28

r = 200/(27.28 x 2 x 3.14)

r = 200 / 171.32

r = 1.167 yards.

The radius of the tire is 1.167 yards.

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Answer: (0,0)   (12,0)

Step-by-step explanation:

y=4x³-96x²+576x

Let y=0

Hence,

4x³-96x²+576x=0

Divide both parts of the equation by 4:

x³-24x²+144x=0

x(x²-24x+144x)=0

x=0

Thus, (0,0)

x²-24x+144=0

x²-2(x)(12)+12(12)=0

x²-2(x)(12)+12²=0

(x-12)²=0

x-12=0

x=12

Thus, (12,0)

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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