A positive number is called $n$-primable if it is divisible by $n$ and each of its digits is a one-digit prime number. How many 3-primable positive integers are there that are less than 1000

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

Answer:

261 seconds

Step-by-step explanation:

78.2 · 1000 = 78,200

78,200/300 ≈ 261

The one year savings of Mr. Nadir is $. 34, 425

Given:

Mr. Nadir Monthly salary = $6723.50

His monthly Expenditure = $3854.75

Now we have to find the savings amount of each month.

For that, first we have to calculate the remaining amount he has after spending the expenditure.

To calculate the remaining amount we have to subtract the expenditure from the total amount that's is his salary.

So,

Remaining amount = Salary - Expenditure

Remaining amount = 6723.50 - 3854.75

=> 2868.75

So, for one year he must save the amount

=> 2868.75 x 12 = 34425

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The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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In a study conducted by the Centers for Disease Control and Prevention (CDC) during the early 1990s, the homicide rate for children (under the age of 15) in the United States was found to be higher compared to 25 other high income countries.

This study aimed to analyze and compare the rates of child homicides across different nations.

The findings of the study indicated that the United States had a disproportionately higher rate of child homicides when compared to its economic peers.

The specific numerical value for the homicide rate in the United States during this period was not provided in the information provided. However, the study established that the United States ranked among the highest in child homicide rates among the countries examined.

It is important to note that this information is based on a study conducted during the early 1990s, and the specific numbers and rankings may have changed since then.

To obtain the most up-to-date and accurate information on the current homicide rates for children in the United States, it is advisable to consult the latest reports and studies published by reputable sources such as the CDC or other relevant research institutions.

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The probable question may be:

In a study of 26 high-income countries during the early 1990s, the Centers for Disease Control and Prevention found that the homicide rate for children (under age 15) in the U.S. was the highest among the countries surveyed.

2 kilograms (kg) is a unit of mass that is commonly used to measure weight or the amount of matter in an object. It is equal to approximately 4.40924 pounds (lb).

The kilogram is the base unit of mass in the International System of Units (SI) and is defined as the mass of a specific cylinder of platinum-iridium alloy kept at the International Bureau of Weights and Measures. To convert kilograms to pounds, you multiply the number of kilograms by 2.20462.

It's important to note that while kilograms and pounds are both units of measurement for weight, they are not interchangeable and are used in different parts of the world. Pounds are widely used in the United States, United Kingdom and other countries who have adopted imperial measurement system.

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QUESTION A

Player E has 3.1 free throw attempts and 10.4 points.

This is represented by the point labelled D in the image.

QUESTION B

The point (2.1, 18.6) can be compared to the table.

When we do so, we can see that player B has the same values for free throw attempts and points.

Thus, that point represents the data for player B.

QUESTION C

Player O scored 14.3 points and 4.8 free throw attempts. This can be shown in the

The correct option is B, the displacement is 1.5 meters.

Displacement is defined as the difference between the final position and the initial position.

Here we can see a graph that gives the velocity as a function of time.

The velocity at t = 7s is 0m/s

The velocity at t = 8s is  3m/s

Then the acceleration in that interval is:

A = (3m/s - 0m/s)/(8s - 7s) = 3m/s²

And the position will be:

P = (1/2)*3m/s²*(t - 7s)²

Now take the differenve between the positions at t = 8s and t = 7s, we will get:

displacement =  (1/2)*3m/s²*(8s - 7s)² -  (1/2)*3m/s²*(7s - 7s)² = 1.5m

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The general equation of a circle with centre (h, k) express as;

The given circle given as;

with centre define as; (-4, 2) and one passing point (x, y) = (-2, 2)

Substitute the center as h = -4 and k = 2 and one passing point as x = -2 and y = 2in the general equation of circle;

Now substitute the center (-4, 2) and radius r =2 in the general equation of circle and simplify;

On comparing the above equation with the given expression we get;

Answer : a = 8

.....

Answer:

\(g(t) + h(t) \\ (2t -2 ) + (2t - 5) \\ (4t - 7)\)

(4t-7) is the right answer.

Step-by-step explanation:

g(t) = 2t - 2

h(t) = 2t - 5

g(t) + h(t)

(2t - 2) + (2t - 5)

2t - 2 + 2t - 5

(4t - 7) ✓✓✓✓

Answer:

0.9432

Step-by-step explanation:

Given that

\(\\Mean (\mu)= 45\)

\(Standard\;Deviation (\sigma)= 5\)

Based on this, the proportion of the shirt price between the given range is

As we know that

For 37 dollars

\(z_{ score } = \frac{x-\mu}{\sigma}\)

\(z = \frac{37.0-45.0}{5.0}\)

\(z_1 = -1.6\)

For 59.35 dollars

\(\\ z = \frac{59.35-45.0}{5.0} \\\)

\(z_2 = 2.87\)

This results into

= P(37.0 < x < 59.35)

= P(-1.6 < z < 2.87)

= P(Z < 2.87) - P(Z < -1.6)

So,

= P(37.0 < x < 59.35)

= 0.9979 - 0.0547

= 0.9432

Refer to Z score table

The value of perimeter of figure is,

⇒ 40 units

And, Area of figure is,

⇒ A = 75 units²

We have to given that,

The given coordinates pairs are,

⇒ A (7,-5), B (-5, 4), C (-8, 0) , D(4, -9)

Now, We know that,

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

AB = √(- 5 - 7)² + (- 5 - 4)²

AB = √ 144 + 81

AB = √225

AB = 15

BC = √(- 8 + 5)² + (0 - 4)²

BC = √9 + 16

BC = √25

BC = 5

CD = √(4 + 8)² + (- 9 - 0)²

CD = √144 + 81

CD = √225

CD = 15

DA = √(4 - 7)² + (- 9 + 5)²

DA = √9 + 16

DA = √25

DA = 5

Hence, The value of perimeter of figure is,

⇒ 15 + 5 + 15 + 5

⇒ 40 units

And, Area of figure is,

A = Lenght x Width

A = 15 x 5

A = 75 units²

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Answer:

hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may  be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.

Answer:

It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.

Step-by-step explanation:

Answer:

Step-by-step explanation:

exact=7.3333..

approximate= 7.3

The cost of rent from 8:00 AM to 2:00 PM is $21 and for 2:15 PM is $22.5

A unit rate means a rate for one of something.

Given is a graph showing the cost of renting snowshoes for corresponding hours,

From 8:00 AM to 2:00 PM = 6 hours

According to graph,

The rent for 6 hours is $21

In an hour, the rent is $6

So, for 15 minutes = $1.5

Therefore, 8:00 AM to 2:15 PM = 6 hours + 15 minutes

Cost = 21+1.5

Cost = $22.5

Hence, The cost of rent from 8:00 AM to 2:00 PM is $21 and for 2:15 PM is $22.5

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The integral test is used to find whether the given series is converged or not. The convergence of series is more significant in many situations when the integral function has the sum of a series of functions.

∫1+∞f(x)dx exists finite ⇒ ∑+∞ (n=1) an coverges.

we know ∫1+∞ 1/x^5dx= (-1/4x^4)1+∞ = 1/4, which is finite, so the series converges.

(If this is wrong you have every right to report me)

I hoped this helped <3333

Answer:

it increases by 1.2

Step-by-step explanation:

all them added together is 90 and 90 divided by 5 is 18, 96 divided by 5 is 19.2

Answer:

Decrease by 2

Step-by-step explanation:

Triangles can be inscribed in and circumscribed around circles, and circles can be inscribed in and circumscribed around triangles.

There are several relationships between triangles and circles, including:

Incenter: The incenter of a triangle is the center of the circle that is tangent to all three sides of the triangle.

Circumcenter: The circumcenter of a triangle is the center of the circle that passes through all three vertices of the triangle.

Orthocenter: The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The circumcircle of a triangle passes through the orthocenter.

Inscribed angle: An inscribed angle of a circle is an angle whose vertex lies on the circle, and whose sides are chords of the circle. The measure of an inscribed angle is half the measure of the intercepted arc.

Tangent: A tangent to a circle is a line that intersects the circle at exactly one point. If a line is tangent to a circle at a point, then it is perpendicular to the radius at that point.

Similarity: If two triangles are inscribed in the same circle and share a common chord as a side, then they are similar.

These relationships have important applications in geometry and trigonometry, and can be used to solve problems involving triangles and circles.

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The two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The vertex of a parabola in standard form, f(x) = a(x - h)² + k, is at the point (h, k).

We can rewrite the given equation, f(x) = x² - 2x - 8, in standard form by completing the square:

f(x) = x² - 2x - 8

= (x² - 2x + 1) - 1 - 8

= (x - 1)² - 9

So the vertex of the parabola is at the point (1, -9), where h = 1 is the x-coordinate of the vertex, and k = -9 is the y-coordinate of the vertex.

To verify that points (2, -8) and (0, -8) are symmetric about the vertex, we can calculate the axis of symmetry, which is x = h, or x = 1 in this case.

The distance between the vertex (1, -9) and the point (2, -8) is the same as the distance between the vertex and the point (0, -8), since these points have the same y-coordinate:

d((1, -9), (2, -8)) = d((1, -9), (0, -8))

Using the distance formula, we can calculate the left-hand side:

d((1, -9), (2, -8)) = √((2 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Using the distance formula again, we can calculate the right-hand side:

d((1, -9), (0, -8)) = √((0 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Hence, the two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

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Answer:

Let's call the length of the base "b".

Since the height is 12 cm longer than the base, we can write that the height is equal to "b + 12".

We know the area of the triangle, so we can use the formula for the area of a triangle:

Area = (1/2)bh

Substituting the expressions we have for the base and the height:

270 = (1/2)(b)(b + 12)

Expanding the right side of the equation:

270 = (1/2)b^2 + (1/2)(12b)

Multiplying both sides of the equation by 2:

540 = b^2 + 12b

Combining the terms on the right side of the equation:

540 = b^2 + 12b

Subtracting 12b from both sides of the equation:

540 - 12b = b^2

Isolating b^2 on one side of the equation:

b^2 = 540 - 12b

Moving all the terms to the left side of the equation:

b^2 - 12b + 540 = 0

We can now use the quadratic formula to solve for b:

b = (-(-12) ± √((-12)^2 - 4(1)(540))) / 2(1)

Simplifying:

b = (12 ± √(144 + 2160)) / 2

b = (12 ± √(2304)) / 2

b = (12 ± 48) / 2

The two possible values of b are:

b = (12 + 48) / 2 = 30

b = (12 - 48) / 2 = -18

Since the length of the base cannot be negative, the only possible value for b is 30.

The height of the triangle can be found by using the expression "b + 12":

h = b + 12 = 30 + 12 = 42

So the base of the triangle is 30 cm and the height is 42 cm.

Answer:

option c is correct

hope it helps

Answer:

Step-by-step explanation:

Given three elements A, B and C related together according to the expression A(B+C), according to distributive property, the element A will be distributed to the rest of the element as shown;

A(B+C) = A(B)+A(C)

A(B+C) = AB + AC (Law of distributivity)

Given the expression according to the question (1−2g+4h)⋅5, in order to use the distributive law to find the equivalent expression, we will use the concept above as shown;

= (1−2g+4h)⋅5

= 5.(1−2g+4h)

= 5(1)-5(2g)+5(4h)

= 5 - 10g + 20h

Hence the equivalent expression using the distributive property is 5 - 10g + 20h

Answer:

5 - 10g + 20h

The value of x is 4 and the value of y is 13 in the parallelogram.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

According to the properties of a parallelogram the opposing sides are equal and parallel.

AB = CD

So, the equation will be -

10 = y - 3

y = 10 + 3

y = 13

Now, another property of a parallelogram suggests that adjacent angles of a parallelogram equals 180°.

∠B + ∠C = 180°

So, the equation will be -

112° + ∠C = 180°

∠C = 180° - 112°

∠C = 68°

The opposite angles of a parallelogram are equal -

∠C = ∠A

So, the equation will be -

68° = 17x°

x = 68/17

x = 4

Therefore, the values of x and y are 13 and 4 respectively.

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The exact length of the curve represented by x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, can be found by evaluating the integral ∫[0,3] 6t√(1 + t^2) dt.

To find the exact length of the curve represented by the parametric equations x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, we will use the arc length formula. The length of the curve is the integral of the square root of the sum of the squares of the derivatives of x and y with respect to t.

We start by finding the derivatives of x and y with respect to t:

dx/dt = 6t

dy/dt = 6t^2

Next, we calculate the integrand for the arc length formula:

√[(dx/dt)^2 + (dy/dt)^2] = √[(6t)^2 + (6t^2)^2] = √(36t^2 + 36t^4) = 6t√(1 + t^2)

Now, we can set up the integral to find the length of the curve:

Length = ∫[0,3] 6t√(1 + t^2) dt

To evaluate this integral, we can use a suitable technique such as substitution or integration by parts. After evaluating the integral, we will have the exact length of the curve between t = 0 and t = 3.

In conclusion, the exact length of the curve represented by x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, can be found by evaluating the integral ∫[0,3] 6t√(1 + t^2) dt.

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Answer:

1/4

Step-by-step explanation:

0 - 2 = -2

-16 - -8 = -8

-2/-8 = 1/4

The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

hey! id love to help but its not loading. do you have a link by any chance?

Step-by-step explanation: