-3 5/6 + 1 5/6

HELP PLEASE ASAP

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

A unit of comparison is a specific value or quantity that is used to compare other values or quantities. This is important because it provides a standard measurement that allows for meaningful comparisons to be made between different values or quantities.

For example, if you are comparing the size of two different objects, you could use a unit of comparison such as inches or centimeters to determine which object is larger. Without a unit of comparison, it would be difficult to make meaningful comparisons between different values or quantities.

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Based on the calculations,  it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

The proportion of dentists who recommend mintyfresh toothpaste is 7/8 = 0.875. The expected number of dentists who recommend mintyfresh toothpaste in a sample of 170 is 170 x 0.875 = 148.75. The standard deviation of the sampling distribution is √(np(1-p)) = √(170 x 0.875 x 0.125) = 4.71.

To find the probability of having more than 153 dentists recommend mintyfresh toothpaste, we calculate the z-score as (153 - 148.75) / 4.71 = 0.91. Using a standard normal distribution table, we find that the probability of having a z-score greater than 0.91 is approximately 0.1826, or 18.26%.

Therefore, it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

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Answer:

Q 7. First=33 Second=35 Third=37

Q 8. First=46 Second=48 Third=50

Step-by-step explanation:

Question 7. Find three consecutive odd integers whose sum if 105.

Let x=the first number (the smallest number）

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=105

x+x+2+x+4=105

3x+6=105

3x=99

x=33

First=33 Second=35 Third=37

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Question 8. The sum of three consecutive even integers is 144. Find the numbers (I think so since you didn't took the whole picture)

Let x=the first number (the smallest number)

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=144

x+x+2+x+4=144

3x+6=144

3x=138

x=46

First=46 Second=48 Third=50

Hope this helps!! :)

Please let me know if you have any question

Pounds of chocolate-covered almonds = 24

Pounds of chocolate-covered peanuts = 6

Given,

A candy store sells chocolate-covered almonds for $10.50 per pound and chocolate-covered peanuts for $8.00 per pound.

The manager decides to make a bridge mix that combines the almonds with the peanuts. She wants the bridge mix to sell for $10.00 per pound,

Let

x = Pounds of chocolate-covered almonds

y= Pounds of chocolate-covered peanuts

To create 30 pounds of bridge mix

x+y = 30... (1)

i.e

10.50x + 8.00y = 10(30) ... (2)

From

x+y = 30... (1)

y = 30 -x

i.e

Now

10.50x + 8.00y = 10(30) ... (2)

10.50x + 8y = 300

Substitute

y =30-x

10.50x + 8(30-x) = 300

10.50x + 240 8x - 300 |

10.50x 8x = 300 - 240

2.50x = 60

X = 60 2.50

X = 24

y = 30 - x

=30-24 = 6

x = Pounds of chocolate-covered almonds = 24

y= Pounds of chocolate-covered peanuts = 6

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\(\large\underline{\sf{Solution-}}\)

\(\sf \longmapsto x + y = 7 \: \: - - - (i)\)

\(\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)\)

By first equation,

\(\sf \longmapsto x + y = 7\)

\(\sf \longmapsto x = 7 - y\)

Now, we can find the original value of y.

\(\sf \longmapsto 3x - 2y = 11\)

\(\sf \longmapsto 3(7 - y) - 2y = 11\)

\(\sf \longmapsto 21 - 3y - 2y = 11\)

\(\sf \longmapsto 21 - 5y = 11\)

\(\sf \longmapsto - 5y = 11 - 21\)

\(\sf \longmapsto - 5y = - 10\)

\(\sf \longmapsto y = \dfrac{ - 10}{ - 5} \)

\(\sf \longmapsto y = 2\)

Now, we can find the original value of x.

\(\sf \longmapsto x + y = 7\)

\(\sf \longmapsto x + 2 = 7\)

\(\sf \longmapsto x = 7 - 2\)

\(\sf \longmapsto x = 5\)

Therefore, the values of x and y are 5 and 2 respectively.

In scientific notation, a number is written as the base number times ten raised to a power. The base number, known as the significand, is also referred to as the mantissa.

The term mantissa is used for the fractional part of a common logarithm as well.

The mantissa is the fractional part of a logarithm. In the context of scientific notation, the mantissa refers to the base number, which is multiplied by 10 raised to a certain power to represent a number.

In other words, the mantissa is the significant digits of a number, excluding the leading and trailing zeros, expressed as a decimal fraction between 1 and 10. For example, in the number 3.24 x 10^5, the mantissa is 3.24.

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Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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Answer: it should be D i hope this helped (if it did let me know)

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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Answer:

17

Step-by-step explanation:

if you need the direction it is downward on a graph or along the y-axis

hope this helps :)

Answer:

Send a pic of the problem.

Step-by-step explanation:

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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Answer:

d) (6, 0)

Step-by-step explanation:

y = -2/12 = -1/6x - 4 = y

New line = y = -1/6x + 6

Plug and test!

0 = -1/6(6) + 6

0 does indeed equal 0

Answer:

y= 3/2x - 8

Step-by-step explanation:

Hopes Helps

In conclusion we have found that the lengths of RS and TR are both √52, and the length of ST is √104.

How to solve?

To determine whether triangle RST is an isosceles triangle, we need to check whether any two sides of the triangle have the same length.

First, we need to find the lengths of the three sides of the triangle. We can use the distance formula to find the distance between any two points in the coordinate plane:

Distance between R and S:

d(RS) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-5 - 1)² + (0 - (-4))²]

= √[(-6)² + (4)²]

= √[36 + 16]

= √52

Distance between S and T:

d(ST) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(5 - (-5))² + (2 - 0)²]

= √[(5 + 5)² + 2²]

= √[10² + 2²]

= √104

Distance between T and R:

d(TR) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(1 - 5)² + (2 - (-4))²]

= √[(-4)² + (2 + 4)²]

= √[16 + 36]

= √52

So we have found that the lengths of RS and TR are both √52, and the length of ST is √104.

Since none of the sides of the triangle have the same length, we can conclude that triangle RST is not an isosceles triangle.

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To conduct a hypothesis test to compare the gestation periods of the two frog species, we can use a two-sample t-test assuming equal variances.

State the hypotheses:

The null hypothesis (H0) is that there is no difference in the mean gestation periods between species A and B.

H0: μA = μB

The alternative hypothesis (Ha) is that there is a difference in the mean gestation periods between species A and B.

Ha: μA ≠ μB

Set the significance level:

The significance level, denoted as α represents the probability of making a Type I error (rejecting the null hypothesis when it is actually true). In this case, the significance level is given as 0.05.

Calculate the test statistic:

We can use the two-sample t-test formula to calculate the t-statistic.

Where A and B are the sample means of gestation periods for species A and B, respectively, s is the pooled standard deviation and nA and nB are the sample sizes for species A and B, respectively.

The pooled standard deviation can be calculated as:

t = -6.28

Determine the critical value:

The critical value of t can be found using a t-distribution table with degrees of freedom (df) equal to nA + nB - 2.

At a significance level of 0.05 with df = 16 + 23 - 2 = 37 the critical values are -2.02 and 2.02 (two-tailed test).

Make a decision and interpret the results:

The absolute value of the calculated t-statistic (6.28) is greater than the critical value (2.02).

Indicating that we can reject the null hypothesis.

Thus, we can conclude that there is a statistically significant difference in the mean gestation periods between species A and B.

Calculate the p-value:

The p-value is the probability of obtaining a t-statistic as extreme as the one calculated or more extreme, assuming the null hypothesis is true.

We can use a t-distribution table or a statistical software package to find the p-value.

For this example,

The p-value is very small (p < 0.0001), indicating strong evidence against the null hypothesis.

Therefore, we can conclude that the average lengths of the gestational periods differ significantly between the two newly discovered frog species, with species B having a longer gestation period than species A.

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The employee's net take-home pay is $2597.

The gross salary is the total salary before any deductions are made.

In this case, the employee's bi-weekly gross salary is $3000.

Deductions are made from the gross salary to arrive at the net take-home pay.

The deductions include income tax, CPP, El, and union dues.

The total deductions can be calculated by adding the individual deductions:

Total deductions = Income tax + CPP + El + union dues

Total deductions = $218 + $99 + $36 + $50Total deductions = $403

The net take-home pay is the amount that the employee receives after all the deductions have been made.

It can be calculated by subtracting the total deductions from the gross salary:

Net take-home pay = Gross salary - Total deductions

Net take-home pay = $3000 - $403Net take-home pay = $2597

Therefore, the employee's net take-home pay is $2597.

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a. The mean is 11.00 (correct)

b. The mean is 14.70 (incorrect)

c. The median (the 50th percentile) is 7.00 (correct)

d. The median (the 50th percentile) is 10.75 (incorrect)

5, 6, 7, 15, 22

The mean is calculated by adding up all the numbers and dividing by the total count:

Mean = (5 + 6 + 7 + 15 + 22) / 5 = 11

So option a. The mean is 11.00 is correct.

The median (the 50th percentile) is the middle number when the dataset is arranged in ascending order. Since we have an odd number of values, the median is the middle value itself.

So option d. The median (the 50th percentile) is 10.75 is incorrect.

The median of the dataset is 7 since it is the middle number when the dataset is arranged in ascending order.

So option c. The median (the 50th percentile) is 7.00 is correct.

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Noah's score = 92

Noah's class mean = 81

Noah's class standard deviation = 5.1

Thus, his z-score his calculated as;

Thus, for Noahs', we have;

Also, similarly for Amelia, we have;

From the results above, Amelia's z-score is higher than that of Noah. Thus, Amelia relatively has the higher score.

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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For the polynomials: P1 = 1, P2 = x - 1, P3 = \((x - 1)^2\) to form a basis S of P2, the coordinate vector of v relative to the basis S is [4, -1, 2].

To find the coordinate vector of the vector v = 2\(x^2\) – 5x + 6 relative to the basis S = {P1, P2, P3}, we need to express v as a linear combination of the basis vectors.

The coordinate vector represents the coefficients of this linear combination.

The basis S = {P1, P2, P3} consists of three polynomials: P1 = 1, P2 = x - 1, P3 = \((x - 1)^2\).

To find the coordinate vector of v = 2\(x^2\) – 5x + 6 relative to this basis, we express v as a linear combination of P1, P2, and P3.

Let's assume the coordinate vector of v relative to the basis S is [a, b, c].

This means that v can be written as v = aP1 + bP2 + cP3.

We substitute the given values of v and the basis polynomials into the equation:

2\(x^2\) – 5x + 6 = a(1) + b(x - 1) + c\((x - 1)^2\).

Expanding the right side of the equation and collecting like terms, we obtain:

2\(x^2\) – 5x + 6 = (a + b + c) + (-b - 2c)x + c\(x^2\).

Comparing the coefficients of the corresponding powers of x on both sides, we get the following system of equations:

a + b + c = 6 (constant term)

-b - 2c = -5 (coefficient of x)

c = 2 (coefficient of \(x^2\))

Solving this system of equations, we find a = 4, b = -1, and c = 2.

Therefore, the coordinate vector of v relative to the basis S is [4, -1, 2].

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2.744

merry christler

Since, m and n are prime positive number. Therefore,

               m + n = 18 + 19 =037

The polynomial we are given is rather complicated, so we could use Rational Root Theorem to turn the given polynomial into a degree-2 polynomial. With Rational Root Theorem, x = 1, -1, 2, -2 are all possible rational roots. Upon plugging these roots into the polynomial, x = -2 and x = 1 make the polynomial equal 0 and thus, they are roots that we can factor out.

The polynomial becomes:

(x - 1)(x + 2)(x^2 + (2a - 1)x + 1)

Since we know 1 and -2 are real numbers, we only need to focus on the quadratic.

We should set the discriminant of the quadratic greater than or equal to 0.

(2a - 1)^2 - 4 ≥ 0.

This simplifies to:

a ≥ 3/2

or,

a ≤ - 1/2

This means that the interval (- 1/2 ,3/2) is the "bad" interval. The length of the interval where a can be chosen from is 38 units long, while the bad interval is 2 units long. Therefore, the "good" interval is 36 units long.

36/38 = 18/19

18+ 19 = 037

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Answer:

25÷2=12.5

Step-by-step explanation:

you put the 25 inn the division box and the 2 on the outside and 12.5 is your answer

Answer: 12.5

\(\frac{25}{2} =12.5\)

\(\frac{5^{2}}{2} = 12 \frac{1}{2} = 12.5\)

The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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