find the missing value of "?"​

Answer:

10,000-500=9,500 is  what it is worth

Step-by-step explanation:

Answer:

I believe it is D.

Step-by-step explanation:

Answer:

D)  y = -2x - 6

Step-by-step explanation:

Given:

\(\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0--12}{-3-3}=-2}\)

Using the point-slope form of a linear equation: \(\mathsf{y-y_1=m(x-x_1)}\)

\(\implies \mathsf{y-(-12)=-2(x-3)}\)

\(\implies \mathsf{y=-2x-6}\)

The size of the largest 10%( 10th percentile) of bladder volumes among men ≈ 416.8 ml.

To find the size of the largest 10% of bladder volumes among men, we need to calculate the corresponding z-score and then use it to find the corresponding value from the standard normal distribution.

Mean bladder volume for men is 550 ml and the standard deviation is 100 ml, we can calculate the z-score using the formula:

z = (x - μ) / σ

where x is the desired value, μ is the mean, and σ is the standard deviation.

To find the z-score for the 10th percentile (largest 10%), we can use the inverse standard normal distribution function (also known as the quantile function or the percent-point function).

This function gives us the z-score corresponding to a given percentile.

Using a statistical software or calculator, we can find the z-score corresponding to the 10th percentile (0.10).

Let's assume the z-score is denoted as z10.

We can calculate the corresponding value in milliliters (x10) using the formula:

x = μ + z * σ

Substituting the values for men:

μ = 550 ml

σ = 100 ml

percentile = 0.10

Using the software or calculator, we find that the z-score corresponding to the 10th percentile (largest 10%) is approximately -1.282.

Now, we can calculate the size of the largest 10% of bladder volumes among men (x10):

x10 = μ + z10 * σ

x10 = 550 + (-1.282) * 100

x10 ≈ 416.8 ml

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The quadratic equation y = x² - 2x - 3 have ordered points at (0, -3), (2, -3), (-2, 5) and (4, 5)

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Quadratic equation is a polynomial that have a degree of 2. The degree of a polynomial is the highest exponent of the variables.

Given that:

y = x² - 2x - 3

When x = 0; y = (0)² - 2(0) - 3 = -3

When x = 2; y = (2)² - 2(2) - 3 = -3

When x = -2; y = (-2)² - 2(-2) - 3 = 5

When x = 4; y = (4)² - 2(4) - 3 = 5

The equation y = x² - 2x - 3 is a quadratic equation.

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Answer:

Here :)

Step-by-step explanation:

The solution of the equations are as follows:

A. x = 11

B. No solution

C. Many solution

D. x = 0

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

The solution of the following variables can be found as follows:

A variable is a number represented with letter in an equation. Hence, let's find the variables of the equations.

x - 4 = 1 / 2 (x + 3)

x - 4 = 1 / 2 x + 3 / 2

x - 1 / 2x = 3 / 2 + 4

1 / 2 x = 11 / 2

cross multiply

2x = 22

x = 22 / 2

x = 11

-4x = 1 / 2 (-8x + 2)

-4x = -4x + 1

-4x + 4x = 1

0 = 1

No solution

3 - 2(-3x + 1) = 6x + 1

3 + 6x - 2 = 6x + 1

1 + 6x = 6x = 1

1 - 1 = 6x - 6x

0 = 0

Many solutions

0.5(x + 3) = -3(x - 0.5)

0.5x + 1.5 = -3x + 1.5

0.5x + 3x = 1.5 - 1.5

3.5x = 0

x = 0

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Deejilani, this is the solution:

Jim conclusion that on the next roll a 3 is more likely to occur is not true.

Actually, a 3 has the same probability to occur that the other five numbers:

The probabilities are:

P(1) = 1/6

P(2) = 1/6

P(3) = 1/6

P(4) = 1/6

P(5) = 1/6

P(6) = 1/6

As you can see, the probabilities are exactly the same because the die is fair.

The equation of the line passing through the points (-4, 5) and (2, -4) is  \(y - 5 = -\frac{3}{2}(x + 4)\).

The point-slope form is expressed as:

( y - y₁ ) = m( x - x₁ )

Given that, the line passes through the points (-4, 5) and (2,-4).

First, determine the slope m:

\(m = \frac{y_2-y_1}{x_2-x_1}\\ \\m = \frac{-4 - 5}{2 - (-4)} \\\\m = \frac{-4 - 5}{2 + 4}\\\\m = \frac{-9}{6} \\\\m = -\frac{3}{2}\)

Now, plug the a point (-4,5) and the slope into the point slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = -\frac{3}{2}(x - (-4))\\\\y - 5 = -\frac{3}{2}(x + 4)\)

Therefore, the equation of the line is  \(y - 5 = -\frac{3}{2}(x + 4)\).

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Step-by-step explanation:

four million seven hundred thousand can be written by

4,700,000

In the equation y = mx + b, m is the slope of the line and b is the intercept.

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Answer:

105cm & 245cm

Step-by-step explanation:

\(3x+7x=350\\10x=350\\x=35\\\\\\3(35)=105\\7(35)=245\)

The sequence of the original DNA molecule, read 5' to 3', is 3' CTGTCCTAG 5'.

The Sanger sequencing method is a technique used to determine the nucleotide sequence of DNA. In this method, the DNA molecule is fragmented into different lengths and each fragment is then replicated using DNA polymerase and a mixture of regular nucleotides and dideoxynucleotides (ddNTPs). The ddNTPs lack a 3' hydroxyl group, preventing further DNA chain elongation after their incorporation.

In the given chromatogram, the sequence trace reads 5' GTCACGGATC 3'. The sequence is read in the 5' to 3' direction, which means that the first nucleotide in the sequence corresponds to the 5' end of the original DNA molecule.

To determine the original DNA sequence, we need to complement and reverse the given sequence. The complementary base pairing rules state that adenine (A) pairs with thymine (T) and cytosine (C) pairs with guanine (G). Complementing the sequence gives us 3' CAGTGCCGTA 5'. Reversing this sequence yields the final result of 3' CTGTCCTAG 5', which represents the original DNA sequence read from 5' to 3'.

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Answer:

4.57

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

2x+1+4x+19=8x-10

2x+4x-8x=-10-19-1

6x-8x=-30

-2x=-30

\(2x = 30\)

x=15

A set of equations is the basis for this query. The number of bracelets and necklaces manufactured are calculated using the equations x + y = 13 and 8x + 24y = 168, respectively.

⇒ x + y = 13

⇒ 8x + 24y = 168

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The system of equations that is  used to determine the number of bracelets made and the number of necklaces made is  x + y = 21 and  21x + 16y = 130

The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. The jeweler made a total of 21bracelets and necklaces using 130 grams of gold.

According to the question,

Let x represent the number of bracelets  and  y represent the number of necklaces that the jeweler made.

The jeweler made a total of 21 bracelets. This means that

⇒ x + y = 21

It is given that, the amount of gold in each bracelet is 21 grams and  in each necklace is 16 grams. The jeweler made a total of 21 bracelets and necklaces using 130 grams of gold. This means that,

⇒ 21x + 16y = 130

Therefore, the system of equations that is  used to determine the number of bracelets made and the number of necklaces made is  x + y = 21   and  8x + 16y = 168.

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Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

Answer:

4 is a factor. Also, (3n - 5) is a factor.

The factored form of 12n - 20 is:

4(3n - 5)

Step-by-step explanation:

We're looking for the biggest number (sometimes its a variable with the biggest exponent, but not this time)

that goes into 12n and also goes into 20. 4 is the biggest number that goes into both 12n and 20. So we factor it out...this is like "un-distributive property" (if you have been studying distributive property, this is like reversing it)

12n - 20

= 4(3n - 5)

Answer:

160 girls

Step-by-step explanation:

2/5 = girls

3/5 = boys

3/5 = 240

to find 1

240/3

80

2/5 = 160

Answer:

This is my answer is

Force=mass × acceleration.

120=mass × 2.

120=2m.

mass=60kg

The person will gain Rs. 5,500 after 3 years by lending the whole amount to a shopkeeper at the same rate of compound Interest for the same time.

Given, Principal amount (P) = Rs. 16,000

Rate of Interest (R) = 12.5%

Time (T) = 3 years(a)

The amount to be paid to the bank as simple interest can be calculated as follows:

Simple Interest (SI) = (P × R × T) / 100= (16000 × 12.5 × 3) / 100= Rs. 6,000Therefore, the amount to be paid to the bank as simple interest is Rs. 6,000.

(b) The amount to be received by the person from the shopkeeper as compound interest can be calculated as follows: Compound Interest (CI) = P × [1 + (R/100)]T – P= 16000 × [1 + (12.5/100)]3 – 16000= Rs. 21,500

Therefore, the amount to be received by the person from the shopkeeper as compound interest is Rs. 21,500.(c) Gain = CI - P= 21500 - 16000= Rs. 5,500

Therefore, the person will gain Rs. 5,500 after 3 years by lending the whole amount to a shopkeeper at the same rate of compound interest for the same time.

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Answer:

The bells ring again together at 6:30

Step-by-step explanation:

10 minute bell

6  6:10   6:20    6:30  6:40  6:50

15 minute bell

6  6:15   6:30

The bells ring again together at 6:30

The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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Step-by-step explanation:

are if triangle equal 1/2 multiplied to height to base

so 1*10*13/2

so it will be 65

Answer:  The correct answer is x = 19 / 5

Step-by-step explanation:

Solve the equation

5x + 3 = 22

Subtract 3 from both sides

5x + 3 − 3 = 22 − 3

5x = 19

Divide both sides by 5

5x/5 = 19/5

x = 19 / 5

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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