A cell phone charges $50 for the phone plus a monthly service charge of $30. What would be the total cost after 3 months?

Answer:

-49,152

Step-by-step explanation:

if you multiply -0.75, times 4 it equals -3 so do that until you get the ninth term. (Multiply each term by 4).

Answer:

scale factor = \(\frac{1}{3}\)

Step-by-step explanation:

the scale factor is the ratio of corrresponding sides. image to original.

scale factor = \(\frac{D'B'}{DB}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)

Answer:

πr²

992.25

Step-by-step explanation:

Answer:

wiat

Step-by-step explanation:

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes

Step-by-step explanation:

The number of hours Angharad sleeps each night = 8 hours ± 10 minutes

The actual time Angharad sleeps each night = 8 hours ± 5 minutes

Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night

The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes

The number of days in the month of November = 30 nights

The maximum time in minutes Angharad sleeps in November, \(T_{max}\) = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes

The minimum time in minutes Angharad sleeps in November, \(T_{min}\) = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes

Therefore, we have, the limits between which T lies given as follows;

273.5 hours < T < 242.5 hours.

Answer:

235 ≤ T ≤ 245

Step-by-step explanation:

(8 hours per night x 30 nights) = 240 hours

The deviation from 8 hours per night is as much as 10 minutes per night.  

Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.

So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.

In inequality form,

235 ≤ T ≤ 245

Answer:

Step-by-step explanation:

it is 12.5

Answer: the answer is 12.5%

Answer:

YOOOO I LOVE YOUR PROFILE PICTURE. SILENT VOICE IS SO SAD BUT SO GOOD <3 :D

Answer:

C - Supplementary Angles

Step-by-step explanation:

Supplementary Angles are two angles whose measures equal 180°

Hope this helps :)

a) We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75

b) We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75.

The claim about the population mean under the one-tailed alternative hypothesis and two-tailed alternative hypothesis are tested by the z-test statistic. The critical value approach is used to identify the true statement under the null and the alternative hypothesis at the 5% level of significance.

Sample size , n = 20

Sample mean, x(bar) = 9.5

Population standard deviation, σ = 3.5

a) Null hypothesis: \(H_0:\)μ = 8.75

Alternative hypothesis: \(H_a\) μ \(\neq\) 8.75 Two tailed

Level of significance, α = 0.05

Excel function for the critical value:

=NORMINV(0.05/2,0,1)

\(Z_0_._0_5_/_2\) = ± 1.96

The Z-test statistic is defined as:

Z = x(bar) - μ /  σ / \(\sqrt{n}\)

Z = 9.5 - 8.75 / 3.5/\(\sqrt{20}\)

Z = 0.958

The test statistic value is less than the critical value at the 5% level of significance. We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75.

b)  Null hypothesis: \(H_0:\)μ = 8.75

Alternative hypothesis: \(H_a\) μ \(>\) 8.75 Right tailed

Level of significance, α = 0.05

Excel function for the critical value:

=NORMINV(0.05,0,1)

\(Z_0_._0_5_/_2\)  = + 1.645

The Z-test statistic is defined as:

Z = x(bar) - μ /  σ / \(\sqrt{n}\)

Z = 9.5 - 8.75 / 3.5/\(\sqrt{20}\)

The test statistic value is less than the critical value at the 5% level of significance. We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75.

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Answer:

(0, 1)

Step-by-step explanation:

right 2 units: add 2 to x

up 4 units: add 4 to y

Answer: (0, 1)

The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

Identify the sign bit. In this case, the number is positive, so the sign bit is 0.

Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.

Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0001 -> 1

0000 -> 0

0111 -> 7

1110 -> E

0 -> 0

So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

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The number of statistics professors selected for 95% confidence in IQ test is 216.

A 95% confidence interval indicates that if we compute a 95% confidence interval for each of 100 independent samples, then about 95 of the 100 confidence intervals will include the real mean value μ.

Formula for Sample Mean M is \(M=Z\times\frac{\sigma}{\sqrt{n}}\).

The alpha level is given by,

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

Now, finding the z value in the Z table as such z has a p value of 1-α.

So, z with a p value of 1-0.025=0.975, so

Z=1.96

Now, Using the formula of M, the value of \(\sigma\) is 15 and M=2,

\(M=Z\times\frac{\sigma}{\sqrt{n}}\\2=1.96\times\frac{15}{\sqrt{n}} \\\sqrt{n}=14.7\\n=14.7^2\\n=216.09\\n\approx216\)

Hence, the number of statistics professors will be 216.

Therefore, the number of statistics professors selected for 95% confidence in IQ test is 216.

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The given question is incomplete. Here is the complete question:
Assume that we want to estimate the mean iq score for the population of statistics professors. how many statistics professors must be randomly selected for iq tests if we want 95% confidence that the sample mean is within 2 iq points of the population mean? Assume that the standard deviation of the IQ of statistics professors is σ= 15.

Open questions:

Closed questions:

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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Answer:

Step-by-step explanation:

we have

Solve for y

That means-----> isolate the variable y

Subtract both sides -2

Divide by -5 both sides

Rewrite

Convert to function notation

Let

g(x)=y

Answer:5

Step-by-step explanation:

20/4=5

Answer:

the answer is 18.long

Step-by-step explanation:

Answer:

x > 2/3  or x < -10/3

Step-by-step explanation:

|3x + 4| > 6

To solve an absolute value inequality of the form |X| > b, where X is an expression, and b is a number, change the inequality into this compound inequality:

X > b or X < -b

Here, X is 3x + 4.

b is 6.

We get the compound inequality:

3x + 4 > 6 or 3x + 4 < -6

3x > 2  or 3x + 4 < -6

x > 2/3  or  3x < -10

x > 2/3  or x < -10/3

Answer:

\(\left(- \infty, -\dfrac{10}{3}\right) \cup \left(\dfrac{2}{3}, \infty\right)\)

Step-by-step explanation:

To solve an inequality containing an absolute value:

Given inequality:

\(|3x+4| > 6\)

Apply the absolute rule:

\(\textsf{If }\:|u| > a,\:a > 0\:\textsf{ then }\:u < -a \:\textsf{ or }\: u > a\)

Therefore:

\(\begin{aligned}\text{\underline{Case 1}} && \text{\underline{Case 2}}\\3x+4 & < -6 \quad & 3x+4 & > 6\\3x & < -10 \quad & 3x & > 2\\x & < -\dfrac{10}{3} \quad & x & > \dfrac{2}{3}\end{aligned}\)

So the solution to the inequality in interval notation is:

\(\left(- \infty, -\dfrac{10}{3}\right) \cup \left(\dfrac{2}{3}, \infty\right)\)

Answer: i think it is 11x+7x

Step-by-step explanation:

Answer:

(0,4)

Step-by-step explanation:

The line AD is a median, because D is the midpoint of BC.

The centroid is the point of intersection of three medians of triangle, we don't need to depict any another median, because we know that centroid divide each median in ratio 2:1 from the vertices of a triangle from which a median was depicted. That's obvious that the median AD was depicted from A. Let the point of centroid be M. AM:MD is 2:1. So we should find the coordinates of D

xD= (xa*1+xd*2)/ (2+1)= ((-4)*1+2*2)/3=0

yd= (ya*1+yd*2)/ (2+1)= (2*1+ 5*2)/3=12/3=4

(0,4)

Answer:

add the size plus

Step-by-step explanation:

Sunday if you add sox

Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiii

The density of the tank is  D. 0.37 goldfish per cubic foot.

To find the density of the tank, we need to divide the number of goldfish by the volume of the tank. In this case, we have 19 goldfish and a tank volume of 52 cubic feet. So, the density of the tank can be calculated as follows:

Density = Number of goldfish / Volume of tank

Density = 19 / 52

Density = 0.365

Therefore, the density of the tank is 0.37 goldfish per cubic foot, which is option d.

The density is a measure of the amount of matter (in this case, goldfish) that is present in a given volume (in this case, the tank). A higher density means that there are more goldfish per unit volume, while a lower density means that there are fewer goldfish per unit volume.

In this case, we can see that the density is relatively high, meaning that there are a significant number of goldfish in the tank. This could potentially be a problem, as overcrowding can lead to poor water quality and health problems for the fish. It's important to monitor the density of fish in a tank and ensure that it stays at a healthy level. Therefore the correct option is D.

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Answer:

3.2

Step-by-step explanation:

SO IN BETWEEN 3&4 BUT CLOSER TO 3

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%. Albinism and hemophilia are both recessive genetic conditions, meaning that both parents must have the recessive gene in order for a child to be born with either condition. Since neither Clara nor Charles have either condition, the probability that their first child will be a boy with both albinism and hemophilia is 0%.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

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Answer:

1520

Step-by-step explanation:

hope it is helpful

The solution are,

angle P = 130 degrees

arc SF = 50 degrees

Angle may be mentioned as a figure which can be defined as that is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram we get,

angle P = 130 degrees because it is alternate adjacent to 130 degrees.

now, we have,

130 = 1/2(210+SF)

130 = 105+1/2SF

1/2SF = 25

arc SF = 50 degrees

Hence, The solution are,

angle P = 130 degrees

arc SF = 50 degrees

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Answer:

1. 40

2. 52

Step-by-step explanation: 1. Subtract 16 from 36 then multiply by 2

2. Subtract 4 from 472 then divide by nine