Enter the correct answer in the box. What are the solutions of this quadratic equation? X^2+164=16x Substitute the values of a and b to complete the solutions.

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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Answer:

1.7 = -0.7

1.1 = -2.1

1.4 = -1.4

Unsure about 0.7

0.8 = 1.7

1.9 (unsure about both)

1.1 = -0.9

Step-by-step explanation:

Hope this helps :)))

The regression line is not a good model because the residuals are not randomly distributed.

For a residual plot to represent a good model, the points on the residual plot must be randomly distributed across the coordinates.

From a regression, the residual is the difference between the observed values and the predicted values.  

Using the graph, we can see that the points that follow a pattern (or curve) regression line is not a good model because the residuals are not randomly distributed.

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Answer: 5/49

Step-by-step explanation:

Answer:

To get the Greates Common Factor (GCF) of 39375 and 779625 we need to factor each value first and then we choose all the copies of factors and multiply them:

39375:    3 3     5 5 5 5 7  

779625:    3 3 3 3 5 5 5   7 11

GCF:    3 3     5 5 5   7  

The Greates Common Factor (GCF) is:   3 x 3 x 5 x 5 x 5 x 7 = 7875

Step-by-step explanation:

Answer:

I think it's c. (76,108)

Step-by-step explanation:

because 76+108 = 184 - half of which is the mean

so c. is more likely

(76, 108) is the  range of possible values that best describes an estimate for the population mean.

The given sample mean is 92.

(80, 112)= 80+112/2

=96 which is not equal to 92.

(82, 114)=82+114/2

=98 which is not equal to 92.

(76, 108)= 76+108/2=92

The value 92 which is  equal to 92.

(78, 110)​ = 78+110/2

=94 which is not equal to 92.

(76, 108) is the  range of possible values that best describes an estimate for the population mean.

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We can use the general form of a quadratic model:

We can find the parameters a, b and c by taking some pair of values from the table, like this:

Let's take the pair (0,0), if we replace these values for y and x into the above model we get:

Now let's take the pair (1, 2.4), by replacing these values into the above model for x and y, we get:

From this equation, we can solve for a to get:

By taking the pair (2, 9.4) we get:

We can replace the expression that we got previously a = 2.4 - b into the above equation to get:

From this expression, we can solve for b like this:

Now we can replace it into the equation a = 2.4 - b, then we get:

a = 2.4 - 0.1 = 2.3

Then we get the expression:

Now we just have to evaluate 10 km into the equation, then we get:

Then, the best prediction of the time required for the oil spill to reach a diameter of 10 km is 233 days

Answer:

Step-by-step explanation:

there would be 18 muffins.

if you multiply each number by 3 then add them it will end up at 48.

6x3=18

10x3=30

30+18=48

30:18

Answer:

66 feet per second

990 feet

Step-by-step explanation:

Converting 45 miles to feet,

1 mile = 5280 feet,

45 mile = 45 × 5280 = 237600 feet

45 miles per hour = 237600÷ 3600(seconds)

                              = 66 feet per second

In 1-second car travels = 66 feet

In 15-second car travels = 66 × 15 = 990 feet

To convert hours to seconds,

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Answer:

No she dosen't deserve that because she will be late for her trian but i would of walked out anyways LOL.!!!

a) test stratic value =t = (x - μ) / SE

the p-value is approximately 0.0402.

a) SE = s / sqrt(n)

where s is the sample standard deviation and n is the sample size.

In this case, x = 103, s = 11.5, and n = 65.

SE = 11.5 / sqrt(65) ≈ 1.426

The test statistic (t-value) is calculated as the difference between the sample mean and the hypothesized population mean divided by the standard error of the mean:

t = (x - μ) / SE

where x is the sample mean and μ is the hypothesized population mean.

In this case, x = 103 and μ = 100.

t = (103 - 100) / 1.426 ≈ 2.103

To find the p-value, we need to determine the probability of observing a test statistic as extreme as the one calculated (2.103) or more extreme, assuming the null hypothesis is true. Since the alternative hypothesis is two-tailed (≠), we need to consider both tails of the distribution.

Using a t-distribution table or software, we can find the p-value associated with the test statistic. However, without specific degrees of freedom, it's not possible to provide an exact p-value. The degrees of freedom depend on the sample size, which in this case is 65.

Let's assume the degrees of freedom are 64. Using statistical software or a t-distribution table, we can find the p-value associated with a t-value of 2.103 and degrees of freedom of 64. The p-value is approximately 0.0402.

Therefore, the p-value is approximately 0.0402.

Since the p-value (0.0402) is less than the significance level (α = 0.05), we reject the null hypothesis. There is sufficient evidence to support the alternative hypothesis, which suggests that the population mean is not equal to 100.

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The measure of angle W in the kite WXYZ is 0 degrees.

To find the measure of angle W in the kite WXYZ, we can use the properties of kites. In a kite, the two opposite angles formed by the intersection of the diagonals are equal. Let's denote the measure of angle W as "x."

Step 1: Start with the given information that WXYZ is a kite.

Step 2: Recall that the diagonals of a kite intersect at right angles. Let's label the intersection point of the diagonals as point P.

Step 3: Draw the diagonals WX and YZ, which intersect at point P.

Step 4: Recognize that angles WXP and ZYP are congruent. Therefore, the measure of angle WXP is also x.

Step 5: Observe that the sum of the angles in a triangle is 180 degrees. Since triangle WXP is a triangle, we can write the equation: x + 90 + 90 = 180.

Step 6: Simplify the equation: x + 180 = 180.

Step 7: Subtract 180 from both sides: x = 0.

Step 8: Analyze the result. The measure of angle W, denoted by x, is equal to 0 degrees.

Therefore, the measure of angle W in the kite WXYZ is 0 degrees.

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Answer:

There are two possible solutions for angle Θ, as cosine is negative in the second and third quadrants.

Using the inverse cosine function on a calculator, we can find the two possible solutions for Θ:

Θ = 120° (in the second quadrant)

Θ = 240° (in the third quadrant)

Therefore, the possible angles for Θ are 120° and 240°.

The following are the possible improvements that can be made to the scatter graph: Draw lines between the points: This would improve the visual representation of the scatter graph by connecting the points, making it easier for the reader to follow the trend and patterns.

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To improve the scatter graph: units should be added to axis labels, the range of axes should be adjusted based on data points, and using multiple colors for data points should be avoided unless they represent different categories. Drawing lines between the points could be misleading in a scatter plot.

In order to improve the represented scatter graph of the 'Amount of petrol used by cars over different journeys,' here are some potential suggestions:

One potential misunderstanding to avoid is 'drawing lines between the points'. In scatter plots, points usually represent individual measurements, and drawing lines between them could be misleading unless there's a chronological order or clear progression involved.

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Answer:

5 blue tiles on each row

Step-by-step explanation:

Given

\(Tiles = 80\)

\(Rows= 8\)

\(Color = \{White, Blue\}\)

\(White = Blue\)

See comment for original question

Required

The number of blue in each row

First, we calculate the number of tiles in each row.

\(Unit = \frac{Tiles}{Rows}\)

\(Unit = \frac{80}{8}\)

\(Unit = 10\)

The distribution of tiles on each row is:

\(White + Blue = Unit\ Tiles\)

\(White + Blue = 10\)

On each row, we have: \(White = Blue\)

So, the equation becomes

\(Blue + Blue = 10\)

\(2\ Blue = 10\)

Divide both sides by 2

\(Blue = 5\)

The volume of the prism is determined as  1,416 m³ and the surface area of the prism is 664.8 m².

The volume of the prism is determined from the product of base area and slant height of the prism.

Base of the prism, A = ¹/₂bh = ¹/₂ x 12 x 20 = 120 m²

Volume = AL

where;

L² = (12/2)² + (20.3/2)²

L² = 6² + 10.15²

L² = 139.0225

L = 11.8 m

V = AL

V = 120 x 11.8 = 1,416 m³

A = bh + pL

A = (12 x 20) + 11.8(12 + 12 + 12)

A = 664.8 m²

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Rock weathering is a gradual process. The breaking up of the rocks into smaller bits is referred to as physical change in this process.

However, the majority of weathering is a gradual process that takes place over hundreds or millions of years. The sort of material being worn away determines how quickly weathering and erosion occur. Some rocks, such as granite, erode gradually, whereas softer rocks, such as limestone, do so considerably more quickly.

However, the surface of the Earth as a whole is changing gradually. Rock-based landforms may be weathered, or reduced to tiny rock fragments, through time and gradual changes.

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Answer:

2 : 3

Step-by-step explanation:

if x = 3, y = 2

The difference : x - y = 3 - 2 = 1

represents for "y":

\(\frac{1}{y}(100) =\frac{1}{2} (100)=50\)%

Hope this helps

Answer: I think the answer would be nine. Hear me out

Step-by-step explanation: The left triangle has the angles 5 and 4, so the right answer for the other side would be the angles 8 and x=9.

Answer:↓↓↓

Step-by-step explanation:

We are given that side AB is congruent to BD. We are also given that side AC is congruent to CD.

We know that side BC and side CB are congruent because of the Reflexive property.

Therefore, ΔABC and ΔDBC are congruent because of SSS Postulate.

Hope this helped!

Answer:

-2 < x < 3

Step-by-step explanation:

-14 < 7x < 21

Divide all three sides by 7 :

\(-14 < 7x < 21\)

\(\Longleftrightarrow \frac{-14}{7} < \frac{7x}{7} < \frac{21}{7}\)

\(\Longleftrightarrow -2 < x < 3\)

The solution in interval notation (-2 , 3)

Answer:

Step-by-step explanation:

bro this question is wrong needs more data

Answer:  (choice B) 12

Step-by-step explanation:

In an isosceles triangle, two sides are equal in length. From the information given, the triangle has sides with lengths \(10\), \(13\), and \(13\), with a base of \(x\). Since it's isosceles, the two equal sides are \(13\) each, and the base is \(10\).

To find the value of \(x\), you can use the Pythagorean theorem. Let \(x\) be the height of the triangle, and then we have:

\[ x^2 + \left(\frac{10}{2}\right)^2 = 13^2 \]

\[ x^2 + 25 = 169 \]

\[ x^2 = 144 \]

\[ x = 12 \]

So, the correct answer is \(x = 12\), which matches Choice B.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

$34.41

Step-by-step explanation:

rate = 0.93$/lb

amount = 37 lb

total = amount x rate

= 37 lb x 0.93$/lb

=34.41$

The residual for the observed value (5, 811) is -4. The correct answer is (a) -4.

To find the residual for an observed value, we need to compare the observed value with the predicted value based on the least squares regression line.

The least squares regression line is given by the equation ŷ = 800 + 3x, where ŷ represents the predicted value of the dependent variable y, and x represents the independent variable.

For the observed value (5, 811), the x-value is 5, and the y-value is 811. We can substitute the x-value into the equation of the regression line to find the predicted value:

ŷ = 800 + 3(5)

= 800 + 15

= 815

The predicted value for the observed value (5, 811) is 815.

The residual is calculated by subtracting the predicted value from the observed value:

Residual = Observed value - Predicted value

= 811 - 815

= -4

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Step 1: Calculate the percentage accuracy for both Round 1 and Round 2

For Round 1, the percentage accuracy will be

For round 1, the percentage accuracy is 75%

For Round 2,the percentage accuracy will be

For Round 2, the percentage accuracy is 80%

Therefore, with the calculation above we can conclude that on the comparison,

Sasha threw more accurately in Round 2 because she hit the target on a higher percentage of her throws.

Hence,

The correct answer is OPTION D

Answer:

Sasha threw more accurately in Round 2 because she hit the target on a higher percentage of her throws.

Step-by-step explanation:

"Purposive sampling" is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

Purposive sampling, also referred as judgmental, selecting, or subjective sampling, is a type of non-probability sampling wherein the researchers pick individuals from the public to take part in their surveys based on their own judgment.

Thus, Purposive sampling is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

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Answer:

the missing angle is 45

180-135=45

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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