What is the valué of the digit 3 in 23.9

Answer:

8

Step-by-step explanation:

Answer:

Greater Than -8

Step-by-step explanation:

The open circle means that it is not equal to (where a closed would be)

And the arrow is pointing to numbers that are higher than -8 :)

Answer:

Greater than of equal to -8.

So the last one.

I hope this helps :)

Answer:

0.9

Step-by-step explanation:

it's 90 percent and 0.9 in decimals

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

12

Step-by-step explanation:

first, find the unit rate. to get the unit rate, we would figure out how many miles he can ride in 1 hour. to get this, divide by 3, to get hours to 1 instead. now divide miles by 3 to get 3 mph. multiply by 4, and you have your answer.

Answer:

110

Step-by-step explanation:

5.5 x 20 = 110

Answer:

He would get there at 1:15 (I did this in my head, may be wrong)

Step by step solution:

We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.

Answer:

When we divide powers of the same base, this means that we have to do is subtract the exponents. ... In other words, all we would need is to divide two powers that have the same exponent then the subtraction would lead to zero

Answer:

A or C

Step-by-step explanation:

well, two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. The linear pair postulate states that two angles that form a linear pair are supplementary

Hope this helps

Linear pair example below:

Answer:

(i) sixteen, six, twenty-three, seven hundred and eight

(ii) fourteen, twenty-three, eight, nigh hundred fifteen

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Given the points:

(x1, y1) ==> (1, 1)

(x2, y2) ==> (3, 7)

To find an equation of the line that goes through the points, first find the slope using the slope formula below:

Substitue values into the formula and solve for the slope, m:

The slope of the line, m is = 3.

Now, use the point slope form:

(y - y1) = m(x - x1)

Substitute 1 for y1, 1 for x1, and 3 for m:

(y - 1) = 3(x - 1)

Let's rewrite the equation to slope intercept form: y = mx + b

Where m is the slope and b is the y-intercept

y - 1 = 3(x) + 3(-1)

y - 1 = 3x - 3

Add 1 to both sides:

y - 1 + 1 = 3x - 3 + 1

y + 0 = 3x - 2

y = 3x - 2

Therefore, the equation of the line in slope intercept form is:

y = 3x - 2

ANSWER:

y = 3x - 2

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

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Answer:

a) The p-value of the test is 0.2076 > 0.05, which means that the sample indicates that the resistors are conforming.

b) The 95% confidence interval for the average resistance is (0.147, 0.153). 0.152 is part of the confidence interval, which means that as the test statistic in item a), it indicates that the resistors are conforming.

Step-by-step explanation:

Question a:

The resistors produced by a manufacturer are required to have an average resistance of 0.150 ohms.

At the null hypothesis, we test if this is the average resistance, that is:

\(H_0: \mu = 0.15\)

We are interested in testing the hypothesis that the resistors conform to the specifications.

At the alternative hypothesis, we test if it is not conforming, that is, the mean is different of 0.15, so:

\(H_1: \mu \neq 0.15\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.15 is tested at the null hypothesis:

This means that \(\mu = 0.15\)

Sample mean of 0.152, sample of 10, population standard deviation of 0.005.

This means that \(X = 0.152, n = 10, \sigma = 0.005\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.152 - 0.15}{\frac{0.005}{\sqrt{10}}}\)

\(z = 1.26\)

P-value of the test and decision:

The p-value of the test is the probability of the sample mean differing from 0.15 by at least 0.152 - 0.15 = 0.002, which is P(|z| > 1.26), given by two multiplied by the p-value of z = -1.26.

Looking at the z-table, z = -1.26 has a p-value of 0.1038.

2*0.1038 = 0.2076

The p-value of the test is 0.2076 > 0.05, which means that the sample indicates that the resistors are conforming.

Question b:

We have to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a p-value of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 1.96\frac{0.005}{\sqrt{10}} = 0.003\)

The lower end of the interval is the sample mean subtracted by M. So it is 0.15 - 0.003 = 0.147.

The upper end of the interval is the sample mean added to M. So it is 0.15 + 0.003 = 0.153.

The 95% confidence interval for the average resistance is (0.147, 0.153). 0.152 is part of the confidence interval, which means that as the test statistic in item a), it indicates that the resistors are conforming.

Answer:

2

Step-by-step explanation:

Degree of the monomial is the highest power in the monomial.

Highest power in the monomial - 1.57k^2 is 2.

So, the degree of the monomial - 1.57k^2 is 2.

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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The annual growth rate in the price of the apple will be 7.83%.

The growth rate is defined as the increment of any quantity over a period of time.

Given that:-

The growth rate will be calculated as::-

Growth rate =  Cost in 2017  /  Cost in 2015

Growth rate =  1.55  /  1.34  =  1.15

The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be

15.67 / 2 = 7.8%

Therefore the annual growth rate in the price of the apple will be 7.83%.

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Answer:

........

Step-by-step explanation:

...

....

.....

......

.......

Answer:

m = \(\frac{2}{3}\)

Step-by-step explanation:

m = slope

m = \(\frac{y^2-y^1}{x^2-x^1}\)            

m = \(\frac{-2-4}{-5-4}\)

m = \(\frac{-6}{-9}\)

m = \(\frac{6}{9}\)

m = \(\frac{2}{3}\)

Answer:

Taylor sold 42 pizzas

Step-by-step explanation:

Make a system of equations where t represents the number of pizzas Taylor sold and j represents the number that Jeff sold:

t + j = 126

j = 2t

We can solve this system by substitution, since we can substitute 2t as j.

t + j = 126

t + 2t = 126

3t = 126

t = 42

Taylor sold 42 pizzas.

Answer:

Step-by-step explanation:

Let x represent the number of pizzas that Tailor sold.

Let y represent the number of pizzas that Jeff sold.

Together they have sold a total of 126 pizzas. This means that

x + y = 126- - - - - - - - -1

Taylor has sold half as many

pizzas as Jeff. This means that

x = 1/2 × y = y/2

Substituting x = y/2 into equation 1, it becomes

y/2 + y = 126

Multiplying both sides of the equation by 2, it becomes

y + 2y = 252

3y = 252

y = 252/3

y = 84

x = y/2 = 84/2

x = 42

Taylor sold 42 pizzas

Answer:

✓ What is pi?

Answer:

d) 1/12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Therefore, the painting should be placed 5/4 feet on each side of the wall.

In the given problem, a 5-foot wide painting should be centered on a 15-foot wide wall. We can determine the length of each side of the painting by subtracting x from each side of the wall.

Therefore, the left side of the equation can be written as:

\(15 - x - 5 - x\)

The physical situation given is that the painting is to be centered on the wall. This means that each side of the wall will have the same amount of space as the painting.

Therefore, the length of each side of the painting can be determined by subtracting x from each side of the wall. The total width of the wall is 15 feet, and the painting is 5 feet wide.

Therefore, the total length of the space on each side of the painting is 5 + x.To find the value of x, we can equate the length of each side of the painting. Therefore, the equation can be written as:

\(15 -x - 5 - x = 5 + x + x\)

Simplifying the equation, we get:

\(10 - 2x = 2x + 5\)

Solving for x, we get:

\(4x = 5x = \frac{5}{4}\)

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Question:

Approximately 30% of the calls to an airline reservation phone line result in a reservation being made.  Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?

Answer:

\(Probability = 0.028\)

Step-by-step explanation:

Given

Represent probability of reservation with p and Number of calls  with n

\(n= 10\)

\(p = 30\%\)

First, we need to convert p to decimal

\(p = \frac{30}{100}\)

\(p = 0.30\)

In probability; opposite probability add up to 1;

In other words,

\(p + q = 1\)

Where q represents probability of no reservation

Substitute 0.30 for p

\(0.30 + q = 1\)

\(q = 1 - 0.30\)

\(q = 0.70\)

The probability that out of the 10 calls, no reservation is made is calculated as;

\(Probability = q^n\)

\(Probability = 0.70^{10}\)

\(Probability = 0.0282475249\)

\(Probability = 0.028\)  (Approximated)