Part C
How many combined bits of storage are there on the two tablets?

Part D
Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether? Type your answer in scientific notation.

Part E
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage? Type your answer in scientific notation.

Bianca runs approximately 146.4 yards across the diagonal of the soccer field.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, the soccer field at Bianca’s school has a length of 120 yards and a width of 85 yards.

Using the Pythagorean theorem, we can find the length of the diagonal of the soccer field:

diagonal = √(120² + 85²)

diagonal ≈ 146.4 yards

Therefore, Bianca runs approximately 146.4 yards across the diagonal of the soccer field.

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Answer:

273

Step-by-step explanation:

Elizabeth keeps 273 masks on her wall

The number of True statements is 3 and the number of False statements is 2.

a- The signal X(t) is said an even signal if it satisfied the condition True,

A signal X(t) is said to be an even signal if it satisfies the condition of

X(t) = X(-t).

b- Dirac delta function also known as unit step.

False, The Dirac delta function is not the same as the unit step function.

The unit step function has a constant value, whereas the Dirac delta function has an infinitely large value at zero and is zero everywhere else.

c- A signal s(t) is a Random signal if s(t) = s(t+nT0)

False, A signal s(t) is a periodic signal if s(t)=s(t+nT0) and Random signal is a type of signal that cannot be predicted precisely.

d- Energy signal has infinite energy, while power is zero.

False, The Energy signal has finite energy, while Power signal has non-zero power and The average power of an energy signal is zero.

e- A discrete-time signal is often identified as a Sequence of numbers, denoted by {s(n)}

True, A discrete-time signal is often identified as a Sequence of numbers, denoted by {s(n)}.

So, the number of True statements is 3 and the number of False statements is 2.

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ok

Area = area of the rectangle + area of the semicircle

= (22 x 10) + 3.14*5^2/2

= 220 + 39.25

= 259.25 units^2

Perimeter = perimeter of the rectangle + perimeter of the semicircle

= 22 x2 + 10 x 2 + 3.14*5

= 44 + 20 + 15.7

= 79.7 units

Answer:

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97

Step-by-step explanation:

Let the first integer: \(x\)

As we are looking for a consecutive integer, so

The second integer would be: \(x+1\)

We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.

\(x+\left(x+1\right)=-97\)

\(x+x+1=-97\)

\(2x+1=-97\)

\(2x=-98\)

Divide both sides by 2

\(\frac{2x}{2}=\frac{-98}{2}\)

\(x=-49\)

Therefore,

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

i think it is c but i don't know

Step-by-step explanation:

give me a brainiest

Answer:

r = 9

Step-by-step explanation:

cross multiply

9 * r = 81

9r = 81

divide both sides by 9

r= 81/9

r = 9

Answer:

the distance is 12 units

Step-by-step explanation:

5 and 5 are the same so we don't use those digits,

-6 and 6 are different so we use them

since - 6 and 6 are both in different quadrants we take the absolute value of both of them and add,

|-6| + |6| = |6| + |6| = 12,

therefore the distance between C: (5,-6) and D: (5,6) is 12 units. hope i helped you (and could i have brainliest if possible?)

===========================================================

Explanation:

The x coordinates are the same (both are 5), so we just focus on the y coordinates.

The y coordinates are y = -6 and y = 6. Subtract the two values and apply absolute value to find the distance. Let's say A = -6 and B = 6.

|A-B| = |-6-6| = |-12| = 12

or we could say

|B-A| = |6-(-6)| = |6+6| = |12| = 12

Either way, we get the same answer. The order of subtraction doesn't matter if we apply absolute value.

On a graph, plotting the two points (5,-6) and (5,6) will show that there's 12 units of space between them.

--------------

If you wanted, you could apply the distance formula like so:

(x1,y1) = (5,-6)

(x2,y2) = (5,6)

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(5-5)^2 + (-6-6)^2}\\\\d = \sqrt{(0)^2 + (-12)^2}\\\\d = \sqrt{0 + 144}\\\\d = \sqrt{144}\\\\d = 12\\\\\)

Though in my opinion, I think the distance formula is overkill for this situation.

A ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

In mathematics, a ratio shows how frequently one number appears in another.

For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.

Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.

So, e are informed that the volume is halved, and the pressure increases by a factor of 2.5.

We shall therefore have:

PVγ = 2.5P(0.5V)γ

We'll condense this to:

(1/0.5)γ = 2.5

γ = In2.5/In2

γ = 1.32

The volume temperature relation is written as follows if the volume expands in an adiabatic process:

T1V1∧γ-1 = T2V2∧γ-1

T1V1∧1.32-1 = T2(0.5V1)∧1.32-1

Condensing this results in:

T₁ = 1.24T₂

Therefore, a ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

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29. The two equivalent expressions for the models are: 3x - 6 and 3(x - 2).

30. 2x + 2 and 2(x + 1).

31. 36x.

32. Another expression for the total cost is: 4(5.25).

Expressions are said to be equivalent expressions when both of them have identical terms, or both gives the same value if the values of the variables in both expressions are plugged in.

29. In the model, we have 3 x's, which is: x + x + x = 3x.

We also have 6 "-1". Which is: 6 × -1 = -6.

An expression for the model would be: 3x - 6

It can also be rewritten as: 3(x - 2).

The two equivalent expressions are: 3x - 6 and 3(x - 2).

30. We have, 2x - 4 + 6 = 2x + 2

It can be rewritten as 2(x + 1).

The two equivalent expressions are: 2x + 2 and 2(x + 1).

31. Let each of the shapes be represented as x. They are 36 in number. Therefore, an expression for the model would be 36x.

32. Another expression that can be used to determine the total cost is: 4(5.25).

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Answer:

(b) added

Explanation

Sales tax is added to the pre-tax value (price) to calculate the total cost. Mathematically, we can say that;

Sales tax + Pre-tax value (price) = Total cost

Answer:

78/100

Step-by-step explanation:

Since .78 is in the hundredths place just move the decimal two places to the right then put it over 100. But idk if you mistyped this because .78 is not a repeating decimal

Answer:

6/9

Step-by-step explanation:

Change 0.7878 to a fraction.

Let n = 0.7878... Multiply both sides by 100 (by 100 when there are two repeating decimal digits)

100n = 78.7878... Subtract n from 100n.

99n = 78 Divide both sides by 99

n = 78/99 but n is 0.7878..., so

0.7878... = 78/99

Similarly with 0.66...

Let n = 0.66... Multiply both sides by 10 (by 10 when there is only one repeating digit)

10n = 6.66... Subtract n from 10n.

9n = 6 Divide both sides by 9.

n = 6/9 but n is 0.66..., so

0.66... = 6/9

======================================================

Explanation:

The notation <-5,2> is the same as writing the translation rule \((x,y) \to (x-5,y+2)\)

It says: move 5 units to the left and 2 units up

The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).

---------

Or you could write out the steps like so

\((x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\\)

We see that (6,2) moves to (1, 4)

A person heart beats is 4.2 x 10∧7

there are 7,600,000,000= 7.6 x 10∧9

the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9

choosing like terms

4.2 ×7.6×10∧7×10∧9

31.92x10∧(7+9)

31.92×10∧16

a=31.92

b=16

Answer:

\(3.192*10^1^7\)

Step-by-step explanation:

To find this value, multiply the two values given:

4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000

42000000 x 7600000000 = 319200000000000000

Then convert 319200000000000000 into scientific notation:

319200000000000000 = 3.19200000000000000

Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:

\(3.192*10^1^7\)

We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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Answer:

Madison

Step-by-step explanation:

Madison is the better free throw shooter. We can tell this because her free throw percentage of 78% is higher than Lara's free throw ratio of 24, which is the number of successful free throws out of 100 attempted shots. Hope this helps!

The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.

It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.

Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.

It follows that all sides of the room are equal and the length of each side can be determined as;

s = √Area; since Area = s².

s = √775

s = 27.839 ft.

Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.

However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;

= 27.839 - 3 -3 = 21.839 ft on all sides.

Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.

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Answer: 51.54 ft

Step-by-step explanation:

The ladder should be 1 feet away from the wall by each 4-feet that the wall rises, so if we have a 50 ft wall, the distance between the bottom of the ladder and the wall must be:

50ft/4 = 12.5ft.

Now we know the cathetus of our ladder, 12.5ft and 50ft, let's find the hypotenuse, that is:

H = √(12.5^2 + 50^2) = 51.54 feet.

Which is also the lenght of our ladder, so the shortest ladder to climb safely a 50 ft wall is 51.54 ft long.

Answer:

Area = 245m^2

Step-by-step explanation:

We can split this figure into 2 parts, a rectangle and a trapezoid.

Rectangle Sides = 10m and 20m

Area = 10m x 20m = 200m

Trapezoid formula = a+b/2(h)

a and b are the 2 bases and h is the height

Using a little deductive reasoning we get the following, 5+10/2(6)

This simplifies to 15/2(6) -->

7.5(6) = 45

Thus, our area is 200 + 45, or 245m^2

Answer:

C

Step-by-step explanation:

I’m pretty sure

The line whose slope will be same as that of the graph given, will be the line parallel to the given line.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is a graph of a line.

For a given line to be parallel to the given line, its slope should be same as that of the line plotted. Since the graph is not given, we can make an estimate for the equation of the line parallel to the given line. The four equations given will have their slopes as mentioned -

[A] -   4x + 5y = - 10       [m] = -4/5

[B] -   4x - 5y = 0           [m] = 4/5

[C] -   5x + 4y = 24        [m] = -5/4

[D] -   5x - 4y = -8          [m] = 5/4

Now, the line whose slope will be same as that of the graph given, will be the line parallel to the given line.

Therefore, the line whose slope will be same as that of the graph given, will be the line parallel to the given line.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Lambda cap is an unbiased estimator of lambda.

Lambda cap = (1/n) * Σ^n_i=1 X_i is an efficient estimator for lambda

To show that lambda cap = (1/n) * Σ^n_i=1 X_i is an efficient estimator for lambda, we need to demonstrate that it is unbiased and achieves the minimum variance among all unbiased estimators.

Unbiasedness:

To show that lambda cap is unbiased, we need to show that its expected value is equal to lambda.

E(lambda cap) = E((1/n) * Σ^n_i=1 X_i)

= (1/n) * Σ^n_i=1 E(X_i) [since expectation is a linear operator]

= (1/n) * Σ^n_i=1 lambda [since E(X_i) for a Poisson distribution with parameter lambda is lambda]

= lambda.

Minimum Variance:

To show that lambda cap achieves the minimum variance, we can calculate its variance and compare it with the variances of other unbiased estimators of lambda.

Var(lambda cap) = Var((1/n) * Σ^n_i=1 X_i)

= (1/n^2) * Σ^n_i=1 Var(X_i) [since variance of a sum is the sum of variances for independent random variables]

= (1/n^2) * Σ^n_i=1 lambda [since Var(X_i) for a Poisson distribution with parameter lambda is lambda]

= lambda/n.

The Cramer-Rao lower bound states that the variance of any unbiased estimator of a parameter must be greater than or equal to the reciprocal of the Fisher information. In the case of the Poisson distribution, the Fisher information for the parameter lambda is equal to lambda.

Since Var(lambda cap) = lambda/n, which is equal to the reciprocal of the Fisher information, lambda cap achieves the minimum variance among all unbiased estimators of lambda.

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.

The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Step-by-step explanation:

It's answer is x_> -27 by using inequality rule

Answer:

3/20

Step-by-step explanation:

Total number of students = 15 + 10 = 25

Number of girls = 10

Number of ways to select 2 students =

Number of ways to select 2 girls =

Compute the probability of selecting two girls as follows:

Thus, the probability that both students are girls is 0.15.

0.15 simplified in fraction from: 3/20

Answer:

A

Step-by-step explanation:

By triangle inequality,

L < 15+6

15 < L+6

6 < L+15

Solving these, we get 9 < L < 21.

Only 10 falls within the range.

The answer is therefore 10cm i.e. A.

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

What is mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given that,
Sample size, n=24

5 4 5 4 4 3 6 4 3 3 5 6 3 3 2 7 4 5 2 2 2 3 5 2

Sample mean is defined as:
¯x=∑xin

Excel function for the sample mean:

=AVERAGE(5,4,5,4,4,3,6,4,3,3,5,6,3,3,2,7,4,5,2,2,2,3,5,2)

¯x = 3.83

Sample standard deviation is defined as:

s = ∑ ( x i − ¯ x ) 2 n − 1

Excel function for the sample standard deviation:

=STDEV(5,4,5,4,4,3,6,4,3,3,5,6,3,3,2,7,4,5,2,2,2,3,5,2)

s = 1.435 The null hypothesis is, H 0:μ =3.18

The alternative hypothesis is, H a : μ ≠ 3.18

t-test statistic is defiend as: t =
¯ x − μ s / √ n t = 3.83 − 3.18 1.435 / √ 24 t = 2.219

Excel function for the P-value:

=TDIST(2.219,23,2)

P-value = 0.0366

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

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========================================================

Explanation:

The sides shown by the single tickmark are the same length. That's one "S" of "SSS".

The sides shown with double tickmarks are the same length. This is another "S" of "SSS".

Lastly, the third unmarked sides of each triangle overlap together perfectly. We consider this a shared side. They are the same length due to the reflexive property. This is the third "S" of "SSS".

The order of the "S" terms mentioned above doesn't matter. All that matters is that we have three pairs of congruent sides. This is enough to use the SSS congruence theorem to prove the two triangles are congruent.

--------------

Extra info:

We don't have any information about the angles, so we cannot use ASA, SAS, or AAS.

We can't use HL because that only applies to right triangles.