A pediatrician tested the cholesterol levels of several young patients. The following relative-thequency histogram shows the readings for some patients who had high cholesterol levels. 200 245 25 Use

Based on the given sample, the number of voters vote for the incumbent are 1,200,000.

Based on the sample, it can be estimated that approximately 1,200,000 of the 2,000,000 voters will vote for the incumbent.

This can be calculated by taking the sample size of 10 and multiplying it by the proportion of votes that the incumbent received (6/10).

This gives a result of 6/10 x 2,000,000 = 1,200,000.

However, it is important to note that this is just an estimate and the actual number of votes for the incumbent could be higher or lower than 1,200,000.

Therefore, based on the given sample, the number of voters vote for the incumbent are 1,200,000.

Learn more about the random sample here:

https://brainly.com/question/12719656.

#SPJ1

Answer:

98.9 times

Step-by-step explanation:

Answer:

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

Let  the number of green files be x.

Tan had 40 more yellow files than green files, which means he had x + 40 yellow files.

After selling 20 yellow and green files, Tan had x - 20 green files and (x + 40) - 20 yellow files.

We also know that after selling 20 files, there were twice as many yellow files as green files left.

So we can set up the equation:

Simplifying this equation:

Answer:

125, 27

Step-by-step explanation:

5×5×5

=125

3×3×3

=27

Answer:

Arithmetic sequence:  \(a_{n}=a_{1}+(n-1)d\)

Geometric sequence: \(a_{n}=a_{1}(r)^{n-1}\)

Step-by-step explanation:

The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.

Examples:

The explicit formula for the nth term of the arithmetic sequence is:

The geometric sequence: is the sequence whos consecutive terms have a constant ratio

Examples:

The explicit formula for the nth term of the geometric sequence is:

* Arithmetic sequence          →→→→→→   Geometric sequence

 Has a constant difference    →→→→→→    Has a constant ratio

 \(a_{n}=a_{1}+(n-1)d\)                  →→→→→→    \(a_{n}=a_{1}(r)^{n-1}\)

 \(d=a_{n}-a_{n-1}\)                          →→→→→→    \(r=\frac{a_{n}}{a_{n-1} }\)

The value of 1 cm : 1 km is 6.66666667e-7

The ratio expression is given as:

1 cm : 15 km

Convert km to cm

So, we have

1 cm : 1 km = 1 cm : 1500000 cm

Express as quotient

1 cm : 1 km = 1 cm/1500000 cm

Evaluate the quotient

1 cm : 1 km = 6.66666667e-7

Hence, the value of 1 cm : 1 km is 6.66666667e-7

Read more about ratios at:

https://brainly.com/question/2328454

#SPJ1

Answer: A) 4.8 CM

Step-by-step explanation:

im stuck on the same problem

The measure of QR, from the triangle TRQ is 16 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle PML is similar to triangle TRQ.

From the given triangles.

ML/QR =PM/TR

(7x-9)/(2x+2) = 35/14

(7x-9)/(2x+2) = 5/2

2(7x-9)=5(2x+2)

14x-18=10x+10

4x=28

x=7

Then, QR=2x+2=16 units

Therefore, the measure of QR is 16 units.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ2

Answer:

the answwr is C. the sum is zero

Answer:

the anwser is c plz give brainlist

Using the equation of lines with the slopes and the properties of the rectangle, The coordinates of D are (7,2).

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides. The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A is at (0, 0) and B is at (4, 6), the slope of the line is  (6 - 0) / (4 - 0) = 3/2.

Since the line that connects C and D is perpendicular to the line connecting A and B, the slope of the line connecting C and D is also -2/3.

The y-coordinate of C is 4, we can write the equation of this line as y = -2/3x + 4. We know that the x-coordinate of D is 7, so we can substitute this value into the equation to find the y-coordinate of D.

This gives us y = -2/3(7) + 4 = -14/3 + 4 = -10/3 + 12 = 2.

Thus, the coordinates of D are (7, 2).

To learn more about rectangles visit:

https://brainly.com/question/29123947

#SPJ4

The angle whose vertex is on the circle and the sides of the angle are the chords is called an Inscribed Angle .

What is an Inscribed Angle ?

An inscribed angle in the circle is formed by the two chords which have a common end point on circle and this common end point is called the vertex of inscribed angle.

The arc formed by the inscribed angle in the circle is called as the intercepted arc .

also the Inscribed Angle Theorem states that inscribed angle on the circle is half the measure of central angle that subtends the same arc .

Learn more about Inscribed Angle here

https://brainly.com/question/2555017

#SPJ4

Answer:

D.) 4

Step-by-step explanation:

the equation simplified is 4y and the coefficient of that is 4

Answer:

the answer is 4

Step-by-step explanation:

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

Answer:

Step-by-step explanation:

To calculate the probability that the number of heads is odd when flipping the coin 10 times, we can use the binomial probability formula.

The probability of getting exactly k successes (in this case, heads) in n trials (flips) is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

C(n, k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials and can be calculated as n! / (k! * (n - k)!)

p is the probability of success (getting a head on a single flip)

n is the number of trials (number of coin flips)

k is the number of successes (number of heads)

In this case, the probability of getting a head on a single flip is 0.1, and we want to calculate the probability of getting an odd number of heads in 10 flips.

Let's calculate the probability:

P(odd number of heads) = P(X = 1) + P(X = 3) + P(X = 5) + P(X = 7) + P(X = 9)

= C(10, 1) * 0.1^1 * (1 - 0.1)^(10 - 1) + C(10, 3) * 0.1^3 * (1 - 0.1)^(10 - 3) + C(10, 5) * 0.1^5 * (1 - 0.1)^(10 - 5) + C(10, 7) * 0.1^7 * (1 - 0.1)^(10 - 7) + C(10, 9) * 0.1^9 * (1 - 0.1)^(10 - 9)

Calculating the values:

P(odd number of heads) = 0.1 * 0.9^9 + 0.1176 * 0.1^3 * 0.9^7 + 0.136 * 0.1^5 * 0.9^5 + 0.1715 * 0.1^7 * 0.9^3 + 0.3874 * 0.1^9 * 0.9

P(odd number of heads) ≈ 0.056

Therefore, the probability of getting an odd number of heads when flipping the coin 10 times is approximately 0.056, rounded to three decimal places.

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

Answer:

-1/10

Step-by-step explanation:

after (.) we put zero in the denominator according to how many numbers are after .

-0.1= -1/10

hope this will help you

plz mark me as braniliest

1. The test statistic falls outside the critical t-values therefore we reject the null hypothesis

2. The confidence interval is constructed as CI = x ± (t_(α/2, df) * (σ / √n))

3. The conclusion is there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm

1. Hypothesis Testing:

Null hypothesis (H₀): The mean inside bearing diameter is 8.25 cm.

Alternative hypothesis (H₁): The mean inside bearing diameter is not equal to 8.25 cm.

We will conduct a two-sided hypothesis test using a significance level (alpha) of 0.05.

Given:

Sample size (n) = 15

Sample mean (x) = 8.2535 cm

Standard deviation (σ) = 0.002 cm

To test the hypothesis, we will use a t-test since the population standard deviation is unknown and the sample size is small.

Calculate the test statistic (t-value):

t = (x - μ) / (σ / √n)

where μ is the hypothesized mean under the null hypothesis.

t = (8.2535 - 8.25) / (0.002 / √15)

t = 6.77

Calculate the critical t-values for a two-sided test at a 95% confidence level (alpha = 0.05):

Since the sample size is small (n = 15), we will use the t-distribution and degrees of freedom (df = n - 1 = 14) to find the critical t-values.

t_critical = ± t_(α/2, df)

If you look up the critical t-value for alpha/2 = 0.025 and df = 14 in the t-table or use a statistical calculator, we have 2.51

t_critical = 2.51

Compare the test statistic to the critical t-values:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis.

2. Confidence Interval:

To construct a 95% confidence interval, we will use the formula:

CI = x ± (t_(α/2, df) * (σ / √n))

3. Conclusion:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm.

Learn more about hypothesis testing here:

https://brainly.com/question/15980493

#SPJ1

Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

Learn more about  synthetic division here: brainly.com/question/29809954

#SPJ11

20 centimeters is approximately equal to 7.87402 inches.

This is because inches and centimeters are both units of length, but they are based on different systems of measurement.

Here we have to convert from metric units of distance to standard units of distance

The inch is a unit of length commonly used in the United States and the United Kingdom, and is defined as exactly 2.54 centimeters. Therefore, to convert centimeters to inches, you need to divide the number of centimeters by 2.54.

The conversion factor = 2.54

The length in inches = Length in centimeter / Conversion factor

= 20 / 2.54

= 7.87402 inches.

Therefore, 20 centimeter is 7.87402 inches.

Learn more about conversion factor here

brainly.com/question/23718955

#SPJ4

Step-by-step explanation:

The values of x for which f(x) and g(x) are equal are given by

f(x)=g(x)

⟹2x

2

−1=1−3x

2x

2

+3x−2=0

(x+2)(2x−1)=0

x=−2,1/2.

Thus, f(x) and g(x) are equal on the set {-2, 1/2}.

Answer:

Your answer would be -2, 1/2

Step-by-step explanation:

Mark the dude above brainliest! :]

The number of adult tickets that were sold would be = 435 tickets.

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

Learn more about tickets here:

https://brainly.com/question/25333829

#SPJ1

The slope of the line described by the equation y = 10x + 2 is 10 (option b).

The given equation is in slope-intercept form, y = mx + b, where m represents the slope of the line. In this case, the coefficient of x is 10, so the slope is 10.

To find the slope, we can compare the given equation with the slope-intercept form.

The coefficient of x in the equation represents the slope. In this case, the coefficient is 10, indicating that the slope is 10.

Therefore, the slope of the line described by the equation y = 10x + 2 is 10, which means that for every unit increase in x, the y-coordinate increases by 10 units.

This indicates a steep positive slope where the line rises at a constant rate of 10 units for every unit increase in the x-coordinate. Thus, the correct option is b.

For more such questions on equation, click on:

https://brainly.com/question/17145398

#SPJ8

The solution to the given Inequality |2x − 3| ≥ 7 is; x ≤ −2 or x ≥ 5

An absolute value inequality is defined as an expression with absolute functions as well as inequality signs. For example, the expression |x + 4| > 2 is an absolute value inequality containing a greater than symbol.

The absolute value inequality we want to solve is;

|2x − 3| ≥ 7

What this means is;

2x - 3 ≥ -7   or 2x - 3 ≥ 7

Thus;

2x - 3 ≥ -7

Add 3 to both sides to get;

2x ≥ -4

Divide both sides by 2 to get;

x ≤ -2

For 2x - 3 ≥ 7

Add 3 to both sides to get;

2x ≥ 10

Divide both sides by 2 to get;

x ≥ 5

Read more about Absolute Value Inequality at; https://brainly.com/question/13282457

#SPJ1

Answer:

Option D: x ≤ −2 or x ≥ 5

Step-by-step explanation:

i took the test xx

Answer:

179.8 m²/ bolt × 4 bolts = 719.2 m²

719.2 m² ÷ 32.2 m²/chair = 22 chairs

The statement that would be true of the reflection of the existing fountain across the y - axis is B. There are two sets of parallel lines: T'V' || R'U' and T'R' ||  V'U'

A reflection of a shape would lead to a congruent shape in another part of the graph. This means that the new shape would have the same set of parallel lines as the original.

The quadrilateral TRUV had parallel line sets of TV || RU and TR || VU so the reflected figure would have congruent parallel lines at T'V' || R'U' and T'R' ||  V'U'.

Find out more on reflection at https://brainly.com/question/29788009

#SPJ1

The options for the question are:

There are two sets of parallel lines: TV VU and TR || R'U

There are two sets of parallel lines: T'V' || R'U' and T'R' ||  V'U'

The points T. R, U, and V have these coordinates: (-2,-7),(6,7),(-2,-4)

.and (-6,-4).

The points T. R. U, and V have these coordinates: (2,-7), (6,7),(2,-4) and (6,-4)

Answer:

Shawty had rn- nonno

Step-by-step explanation:

Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico Avocados from mexico

avocados from me   avocados from me   avocados from me  

avocados from me   avocados from me   avocados from me

avocados from me   avocados from me   avocados from me

avocados from me   avocados from me   avocados from me

Answer:

Step-by-step explanation:

I'm still not exactly sure what the question really is, but the level suggests that it is

y = (6/7)x + 5

Any line that is parallel to this line has a slope of 6/7

Any line that is perpendicular to this line is a little more complicated.

slope of given line * slope of perpendicular line = - 1

6/7 * perpendicular slope = - 1  

Multiply by 7

6*perpendicular slope = - 7

Divide by 6

perpendicular slope = - 7/6

The smallest number of eggs that could have been in the basket = 301

Given that the basket is filled with an unknown number of eggs.

Let N be the smallest number of eggs in the basket.

When eggs are removed 2, 3, 4, 5, or 6 at a time, one egg is left over at the end which means (N-1) is divisible by 2, 3, 4, 5, or 6, i.e. (N-1) is the least common multiple of 2, 3, 4, 5, and 6.  

Since LCM (2, 3, 4, 5, 6) = 60

So, (N-1) should be a multiple of 60, then only (N-1) will be divisible by 2, 3, 4, 5, and 6. Therefore N is of the form 60k+1 (where k is an integer).

Since no egg is left over when they are removed 7 at a time, N should be a multiple of 7. Smallest multiple of 7 that is of the form 60k+1 (where k is an integer) is 301.

Hence the smallest number of eggs that could have been in the basket = 301.

To learn more about LCM visit : https://brainly.com/question/16054958

#SPJ11

Answer:

B: 3/4a + 1/2b - 3

Step-by-step explanation: