Convert 890 / 110 into a mixed number

The system of equations  [20 x+5 y=145 30 x-5 y=125]  has a unique solution: x = 5.4 and y = 7.4.

To determine whether the system of equations has a unique solution, we can solve it using the method of elimination. Let's begin:

Equation 1: 20x + 5y = 145

Equation 2: 30x - 5y = 125

If we add Equation 1 and Equation 2, we can eliminate the variable y:

(20x + 5y) + (30x - 5y) = 145 + 125

50x = 270

Dividing both sides of the equation by 50, we get:

x = 270 / 50

x = 5.4

Now that we have the value of x, we can substitute it back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:

20(5.4) + 5y = 145

108 + 5y = 145

5y = 145 - 108

5y = 37

Dividing both sides of the equation by 5, we get:

y = 37 / 5

y = 7.4

Therefore, the system of equations has a unique solution:

x = 5.4 and y = 7.4.

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Answer:

0.04 < 0.1 < 1/6

Step-by-step explanation:

The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is  D. all of the above

The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.

When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.

For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.

The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.

Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.

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The most appropriate choice for volume of cuboid and cylinder will be given by-

Total mass of sculpture is 10.0464 tonnes

What is volume of cuboid and cylinder?

Cuboid is a three dimensional figure that has 6 faces, 12 edges and 8 vertices.

Volume of cuboid is given by the formula length \(\times\) breadth \(\times\) height

Cylinder is a three dimensional round figure that has two circular bases at the end

If r is the radius of the cylinder and h is the height of the cylinder, volume of the cylinder is given by the formula

V = \(\pi \times r^2 \times h\)

Here,

Radius of cylinder = 40 cm

Height of cylinder = 70 cm

Volume of cylinder = \(\pi \times r^2 \times h\)

                                = \(\frac{22}{7} \times (40)^2 \times 70\\\)

                                = 352000 \(cm^3\)

Length of cuboid = 80 cm

Breadth of cuboid = 80 cm

Height of cuboid = 140 m

Volume of cuboid = \(80 \times 80 \times 140\)

                              = 896000 \(cm^3\)

Total volume of sculpture = (352000 + 896000) \(cm^3\)

                                           = 1248000 \(cm^3\)

Density of sculpture = 8.05 \(g / cm^3\)

Mass of sculpture  = \(1248000 \times 8.05\)

                               = 10046400 g

                               = 10046.4 kg

                                = 10.0464 tonnes

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Answer:

The area of the figure is 286 cm^2

Area of upper triangle = (1/2) base X height

= (1/2) 12 X 10

= 60

The middle portion is square so

area = l^2

= 100

the base of bottom triangle = 4 + 10 + 4 = 18

height of bottom triangle = 14

so area = (1/2) base X height

= 126

total area = area of upper triangle + area of square +area of bottom triangle

= 60 + 100 + 126

= 286 cm^2

Answer:

1) 15:26 PM

2) 15:26 PM

3) 11:05 AM

4) 9:35 AM

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

We can find our answer by getting x alone.

1/7 * x = 1

Multiply 1/7 to x.

x/7 = 1

Multiply 7 to both sides to isolate x.

x = 7

The original price of the sofa was $740. To find the original price of the sofa, we need to determine the price before the 70% reduction.

Let's assume the original price is represented by "x."

Since the reduction is 70%, it means that after the reduction, the price is equal to 30% of the original price (100% - 70% = 30%). We can express this mathematically as:

0.3x = $222

To solve for x, we divide both sides of the equation by 0.3:

x = $222 / 0.3

Performing the calculation, we get:

x ≈ $740

Therefore, the original price of the sofa was approximately $740.

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In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, The percentage of the data would be between 17.9 and 26.1 a) 95% based on the Empirical Rule.

1. Identify the mean and standard deviation: Mean (µ) = 22, Standard Deviation (σ) = 4.1
2. Calculate the range's distance from the mean: 22 - 17.9 = 4.1 and 26.1 - 22 = 4.1
3. Observe that both ranges are exactly 1 standard deviation (4.1) away from the mean.
4. Apply the Empirical Rule for normally distributed data sets:
  - 68% of the data falls within 1 standard deviation (µ ± σ)
  - 95% of the data falls within 2 standard deviations (µ ± 2σ)
  - 99.7% of the data falls within 3 standard deviations (µ ± 3σ)
5. In this case, the range is within 1 standard deviation (µ ± σ), so 95% of the data falls between 17.9 and 26.1.

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Answer:

okay i will gladly

The best interpretation of the mean in this case is:

v. For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

The mean of a binomial distribution represents the average or expected value of the random variable. In this context, the random variable G represents the number of shipments with undamaged bowls in 25 randomly selected shipments. The mean of 23.75 suggests that, on average, out of all possible shipments of size 25, the company can expect to have approximately 23.75 shipments with undamaged bowls.

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Answer:

x=6

Step-by-step explanation:

3x-6=12

   +6 +6

3x=18

3x/3= 18/3

x=6

Hope this helps!

Answer:

x=6

Steps

3x - 6 = 12

add 6 to both sides

3x - 6 + 6 = 12 + 6

simplify

3x = 18

Divide both sides by 3

3x/3 = 18/3

simplify

x=6

Answer: -30

Step-by-step explanation:

multiplicación simple 10(-3) = -30

Answer:

Alex: 46.065

Step-by-step explanation:

58.483 - 12.418 = 46.065

Answer: D

Step-by-step explanation:

Answer:

x = 2878

Step-by-step explanation:

x + 2255 = 5133

x = 5133 - 2255

x = 2878

Answer:

49

Step-by-step explanation

5v + w

5(5) + 24

25 + 24

49

First you have to substitute the variables with numbers given (v=5 ; w=24)

Start with multiplying 5*5 which equals 25, then finish off with adding the two numbers.

Answer:

5v+w = 5(5)+24 = 49

Step-by-step explanation:

As you can see we have two variables

v & w

And we have no coefficient to w but we do to v which is...

5

So... we must replace the variables (v & w) replacing them with the numbers you gave us, 5 for v and 24 for w.

The sentence is

5v+w= ?

If you replace v with 5 it becomes...

5(5)+w

When seeing a number & a variable or numerous variables that placed right next to each other, it means that the number and the variable(s) are to be multiplied together.

So now we have 5(5)+w meaning 5 times 5 plus the variable w

The second value you gave us is 24 which is supposed to be subbed in for w.

So... when we replace w with 24 we get...

5(5)+24

Now we evaluate the expression.

According to PEMDAS... since we have no parenthesis or exponents we do m, multiplication first. 5*5=25

We are now left with...

25+24

25 + 24 = 49.

So...

5v+w is now 5(5)+24 which is equal to...

49

Hopefully this helped you!

Have a good day!

If an indifference curve is straight, the marginal rate of substitution (MRS) is indeed constant.

The MRS represents the rate at which a consumer is willing to exchange one good for another while maintaining the same level of satisfaction. A straight indifference curve means that the consumer is indifferent between two goods, regardless of the quantity of each good they have. Therefore, the MRS between these goods remains constant, regardless of the quantity of each good consumed. On the other hand, if an indifference curve is bowed inward, the MRS is not constant and changes as the consumer moves along the curve. Yes, if an indifference curve is straight and does not bow inward, it implies that the marginal rate of substitution (MRS) is constant. In this case, the consumer is willing to substitute one good for another at a fixed rate, regardless of the quantity of goods consumed. This constant MRS reflects the consumer's equal preference for both goods, and thus, the indifference curve remains linear.

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The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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The reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x).

What is slope?

To find the equation of a line given two points, we use the formula-

\(y- y_{1} = \frac{y_{2 - y_{1} } }{x_{2} - x_{1} } (x - x_{1} )\)

y = mx + c; where m is the slope of the line and c is the intercept on the y axis

For the function f(x), we have to select two points, let us select (-6, 9) and (0, 27)

Hence the equation of the line f(x) is-

\(y - 9 = \frac{27 - 9}{0 - (-6)} ( x - (-6))\)

\(y - 9 = \frac{18}{6} (x + 6 )\)

\(y - 9 = 3 (x +6)\)

\(y - 9 = 3x + 18\)

\(y = 3x + 27\)

Comparing y = 3x + 27 with y = mx + c, we can see that the slope (m) = 3 and the y intercept is 27

For the inverse function f⁻¹(x), let us use the points (-3, -10) and (0, 9)

Hence the equation of the line f⁻¹((x) is-

\(y - (-10) = \frac{-9 - (-10)}{0 - (-3)} (x - (-3))\)

\(y + 10 = \frac{1}{3} (x + 3)\)

\(y + 10 = \frac{1}{3} x + 1\)

\(y = \frac{1}{3} x - 9\)

To find the x intercept put y = 0

0 = (1/3)x - 9

(1/3)x = 9

x = 27

Comparing y = (1/3)x - 9 with y = mx + c, we can see that the slope (m) = 1/3 and the y intercept is -9.

Therefore, the reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x) (i.e reciprocal of 3 = 1/3).

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Answer:

x=1/2,-2/3

Step-by-step explanation:

Answer:

- 1/2 I would show my work but its too long sry

Step-by-step explanation:

Step-by-step explanation:

We know that

\(\boxed{\sf 1kg=1000g}\)

\( \rm \mapsto \: 6kg=6000g\)

\( \rm \mapsto \: number \: of \: bags = \frac{6000}{475} \\ \rm \mapsto \: 12.63 \\ \rm \mapsto \: 13bags(approx)\)

The number of empty bags filled by Memona is 13 approximately.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The weight of sack is 6 kg.

The rice filled in empty bags is 475 g.

Since 1000 g  = 1 kg, 475 g = 0.475 kg.

Now, the number of bags can be determined by dividing the weight of sack by that of each bag as,

Number of bags = 6/0.475

                         = 12.63\

Which can be taken as 13 approximately.

Hence, the number of bags Memona can completely fill with rice is 13 approximately.

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Answer:

Answer is C, has infinitely many solutions

Step-by-step explanation:

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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The value of t(-u + 2v) is 5/6.

To find the value of t(-u + 2v), we can use the linearity property of linear transformations.

We know that t(u) = 1/2 and t(v) = 2/3.

Let's break down the expression t(-u + 2v):

t(-u + 2v) = t(-1u + 2v)

Since t is a linear transformation, we can distribute the transformation across the addition and scalar multiplication:

t(-u + 2v) = t(-1u) + t(2v)

Using the linearity property, we can factor out the scalars:

t(-u + 2v) = -1t(u) + 2t(v)

Now substitute the given values of t(u) and t(v):

t(-u + 2v) = -1×(1/2) + 2×(2/3)

Simplifying the expression:

t(-u + 2v) = -1/2 + 4/3

To add these fractions, we need a common denominator:

t(-u + 2v) = -3/6 + 8/6

Combining the fractions:

t(-u + 2v) = 5/6

Therefore, t(-u + 2v) equals 5/6.

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The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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According to the question the product of 7 x 5 will be greater than 7 from multiplication.

Multiplication in mathematics is the addition of equal groups. As we proliferate, the quantity of items in the group increases. The product as well as the two elements are part of a multiplication issue. 6 and 9 are factors in the multiplication equation 6 9 = 54, and 54 is the result.

The product of 7 x 5 by multiplying with each other we can get 35

The number being multiplied with 7 is greater than 1 so the product will also be greater than 7.

The product of 7 x 5 will be greater than 7 because we are multiplying 7 by a number greater than 1.

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7-(-4) is 4 units from 7 in the negative direction. See the explanation and the linear scale attached.

The direction being referred to is the direction of the number on a numerical scale or Linear Scale.

In the attached linear scale, we can see that the arrow stops at 11. This is arrived at by expanding the bracket:

7 - (-4)

the subtraction signs cancel out each other creating a positive sign. Hence we have:

7 + 4

= 11.

Hence, 11 is 4 units away from 7 in the negative direction. That is going toward zero is negative or a reduction hence, to get to 7 you need to go toward the negative section of the scale.

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Answer:

b) 1990659

Step-by-step explanation:

b) 9*9*9*9=6561, 12*12*12=1728, 8*8*8*8=4096 / 12*12=729, 2*2*2*2*2=32. 6561*1728*4096/729*32=1990656

To calculate the angle's size, use the interactive protractor. The angle JHG will be measured at 115°. Option D is correct.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

The  angle ∠JHG is found as;

∠JHG = 180°-65°

∠JHG = 115°

The measure of the angle ∠JHG will be 115°.

Hence, option D is correct.

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Answer: 110

Step-by-step explanation: i put 115 and it was wrong , it turned out to be 110