pls answer quickly will give brainlyist

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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Answer:

32/105 or 0.3048

Step-by-step explanation:

convert 2 1/5 to improper fraction then u solve the multiplication aspect first according to BODMAS then subtract 3/7 from ur answer.

Answer: 7 1/2 pounds

Step-by-step explanation:

Answer:

5 root 3

Step-by-step explanation:

5/n = n/15

Cross Multiply

n^2 = 75

Take the square root of both sides.

n = sq root  75

Simplify the radical. The square root of 75 is the square root of 25 * square root of 3. Your answer is 5 root 3

The option a. 13,000,090,416 is correct standard form.

Firstly, separating the numbers and finding the number of zeroes each unit will have. As per the known fact, the number in billion contains nine zeroes. The number ninety thousand will contain four zeroes. The number four hundred will contain two zeroes.

In the given options, every 13 is succeed by nine zeroes. So, checking the number of values after digit nine. Option a has four digits, option b has seven digits, option c has 5 digits and option d has three digits. So, option a will be correct. The number 416 will be at end, and it correct in each option.

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Answer:

hope that helps :))

Step-by-step explanation:

Step 1: Subtract 12c from both sides.

12c+12−12c=12c+9−12c

12=9

Step 2: Subtract 12 from both sides.

12−12=9−12

0=−3

3 students play all three sports.The number of students who play both baseball and tennis is 8, the number of students who play both tennis and football is 5, and the number of students who play both baseball and football is 10. Find the number of students who play all three sports.

Given:Conard High School has 5050 students who play on the baseball, football, and tennis teams. Some students play more than one sport. If 1515 play tennis, 2525 play baseball, 3030 play football, 88 play tennis and baseball, 55 play tennis and football, and 1010 play baseball and football.Find:How many students play all three sports?Solution:We can use the formula for three sets to solve the given problem.N(A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C)Where, A, B, and C are the sets of the students who play tennis, baseball, and football respectively.n(A) = 15, n(B) = 25, and n(C) = 30n(A ∩ B) = 8, n(A ∩ C) = 5, and n(B ∩ C) = 10We have to find n(A ∩ B ∩ C)Using the formula we get:n(A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C)50 = 15 + 25 + 30 - 8 - 10 - 5 + n(A ∩ B ∩ C)50 = 47 + n(A ∩ B ∩ C)n(A ∩ B ∩ C) = 50 - 47n(A ∩ B ∩ C) = 3 studentsSo, 3 students play all three sports.

Conard High School has 50 students who play more than one sport, and the number of students who play tennis, baseball, and football is 15, 25, and 30, respectively. We are given that 8 students play both tennis and baseball, 5 students play both tennis and football, and 10 students play both baseball and football. We are to find how many students play all three sports.We can use the formula for three sets to solve the given problem.N(A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C)Where A, B, and C are the sets of the students who play tennis, baseball, and football, respectively. The formula is based on the fact that the number of students who play any two sports is counted twice and hence needs to be subtracted once.To use this formula, we need to determine the number of students who play tennis only, baseball only, and football only. We can do this by subtracting the number of students who play two sports from the total number of students who play each sport. Then, we can substitute these values in the formula.n(A) = 15 - (8 + 5) = 2n(B) = 25 - (8 + 10) = 7n(C) = 30 - (5 + 10) = 15n(A U B U C) = 2 + 7 + 15 - 8 - 10 - 5 + n(A ∩ B ∩ C)50 = 47 + n(A ∩ B ∩ C)n(A ∩ B ∩ C) = 50 - 47n(A ∩ B ∩ C) = 3Therefore, 3 students play all three sports.

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Since we have that the sale price is $511, then this represents the 100-27%=73% of the total price. Then, using a rule of three we have:

therefore, the original price of the sofa was $700

In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:

Now, let's calculate the values of y for each value of x:

Therefore the solutions are (1, 7) and (5/2, 10).

Correct option: second one.

Answer:

your correct answer is 3 no first ,

Answer:

She will donate P-50/3 each time

Step-by-step explanation:

Now assuming total donation needed to be in the silver category Is P

We can assume also the three additional and equal donations be Q

So

Then 50 + 3Q = P

So we still don't know P

We can get Q by saying

3Q= P - 50

Q = (P - 50) /3

The probability is again extremely low, approximately \(8.6 x (10)^{-14}\)

The probability that less than 200 drivers in the sample wear a seatbelt can be calculated using the binomial distribution formula:

\(P(X < 200) = Σi=0 to 199 (500 choose i)  (0.4)^i (0.6)^{(500-i)}\)

Using a calculator or software, we can find that this probability is extremely low, approximately 2.6 x 10^-33. Therefore, it is highly unlikely that less than 200 drivers in the sample wear a seatbelt.

Alternatively, we can use the normal approximation to the binomial distribution if certain conditions are met. For large enough n (in this case, n = 500) and a probability of success p (in this case, p = 0.4), the binomial distribution can be approximated by a normal distribution with mean μ = np and standard deviation \(σ= \sqrt{np(1-p)}\).

Using this approximation, we can standardize the random variable X (number of drivers in the sample who wear a seatbelt) using the z-score formula:

\(z=\frac{(X-u)}{σ}\)

Then, we can use a standard normal distribution table or calculator to find the probability that X is less than 200, which corresponds to a z-score of approximately -7.36.

The probability is again extremely low, approximately \(8.6 x (10)^{-14}\). Therefore, we can conclude that it is highly unlikely that less than 200 drivers in the sample wear a seatbelt.

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Answer: Reject \(H_0\) if the confidence interval does not contain the value of the hypothesized mean \(\mu_0\).

Step-by-step explanation:

In the case of Confidence Intervals and Two-Tailed Hypothesis Tests,

Null hypothesis : \(H_0:\mu=\mu_0\)  [There is no change in mean.]

Alternative hypothesis: \(H_a:\mu\neq\mu_0\)  [There is some difference.]

Since confidence intervals contain the true population parameter ( mean).

So, Decision rule states that

0.0254km

Answer:

Solution given:

The distance between two points is

=2.54 * 10 m.

=25.4m

To express in km we need to divide metre by 1000.

so

=25.4/1000

=0.0254 km

The distance in km in standard form is 0.0254km

The residual for this case is approximately -0.4.

The predicted response for the given case can be obtained by substituting the values of X1, X2, X3, and X4 into the regression equation:

Y = 45.32 - 6.556X1 + 1.697X2 + 1.404X3 + 0.426X4

Substituting X1 = 10, X2 = 8, X3 = 6, and X4 = 48:

Y = 45.32 - 6.556(10) + 1.697(8) + 1.404(6) + 0.426(48)

Y ≈ 24.4

The predicted response for this case is approximately 24.4.

The residual is calculated by subtracting the predicted response from the actual response:

Residual = Actual response - Predicted response

Residual = 24 - 24.4

Residual ≈ -0.4

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Answer:

Step-by-step explanation:

2p - q + 4 - ( p - q )

2p - q + 4 - p + q

By rearranging the terms

2p - p + 4

( you might think where -q and +q went ???

They are cancelled because they have opposite signs )

∴The answer is p + 4

Hope it helps

plz mark as brainliest!!!!!!!

Answer:

\(\boxed{p+4}\)

Step-by-step explanation:

It will be like

=> (2p - q + 4) - (p-q)

=> 2p-q+4-p+q

Combining like terms

=> 2p-p-q+q+4

=> p+4

Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.

Let's first find the dimensions of the printable region of the poster.

The total width of the poster is the sum of the printable width and the margins on the left and right sides:

Total width = Printable width + Left margin + Right margin

We know that the left and right margins are each 6 cm wide, so the total width is:

Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm

Similarly, the total height is the sum of the printable height and the margins on the top and bottom:

Total height = Printable height + Top margin + Bottom margin

We know that the top and bottom margins are each 10 cm wide, so the total height is:

Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm

The area of the printable region is:

Printable area = Printable width × Printable height

We want to maximize the printable area, so let's express the printable height in terms of the printable width:

Printable height = Total height - Top margin - Bottom margin

Printable height = (Printable width + 12 cm) - 10 cm - 10 cm

Printable height = Printable width - 8 cm

Substituting into the equation for printable area, we get:

Printable area = Printable width × (Printable width - 8 cm)

Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:

d(Printable area)/d(Printable width) = 2Printable width - 8 cm

2Printable width - 8 cm = 0

Printable width = 4 cm

So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.

Printable width = -b/2a

where a = 1 and b = -8

Printable width = -(-8)/(2×1) = 4

Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:

Printable area = Printable width × Printable height

Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)

Printable area = 4 cm × 2156 cm

Printable area = 8624 cm

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Answer:

Well, we know that the interior angles of any triangle add up to 180. We also know that a pair of supplementary angles adds up to 180. Furthermore we know that the figure in an iscoceles triangle. We know this since the 2 lines of the triangle are marked with a bisecting arc indidcating that they are equal in length. Therefore the 2 base angles are equal by the rules of an isosceles triangle. Let M and N represent the 2 base angles:

by using the rule that the interior angles add up to 180 we see that 56 +m +n=180

M and n are the same values since this is an isosceles triangle.

56 +m +n=180

m+n=124

Since m and n are the same values we just divide 124 by2

m, n=62

Therefore by using the rules of supplementary angles if the base angles equal 62 then the m<1 and 62 should add up to  180 since suplementary angles add up to 180. 180-62=118

m<1=118

Step-by-step explanation:

Answer:

1: 6

2: 21 1/3 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the unit rate of the data in the table:

The equation is:

Compare this with the others:

Find. rate

Only first one and 4the one have lower unit rate

Applying the HL congruence theorem, both triangles are congruent as shown in the proof given below.

If one pair of corresponding sides and one pair of hypotenuses of two right triangles are congruent, then both right triangles are congruent to each other based on the HL congruence theorem.

Using the HL congruence theorem, the two-column proof that explains why triangles BAD and CAD are congruent is stated below.

Statement                                 Reasons                                            

1. AD ⊥ BC                                 1. Given

2. AB ≅ AC                                2. Given

3. ∠BDA and ∠CDA are           3. Definition of perpendicular

right angles

4. AD ≅ AD                               4. Reflexive property

5. ΔBAD ≅  ΔCAD                    5. HL congruence theorem

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Answer:

13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

 im always here to help...

Because an acre is 10 times the size of a football pitch and is often used area as a unit of measurement for broad regions, answer option (D) is a plausible estimate.

The size of a surface area can be expressed as an area. The surface area is the area of an open surface or the boundary of a three-dimensional object, whereas the area of a planar region or planar region refers to the area of a shape or flat layer. The area of an object is the entire amount of space occupied by a planar (2-D) surface or shape. Make a square with a pencil on a piece of paper. A two-dimensional character. On paper, the area of a shape is the amount of space it takes up. Assume the square is made up of smaller unit squares.

(D) 4 104 sq ft is the right answer.

Considering that an acre of land has an area of exactly 43,560 square feet, answer selections (A) and (C) are both too tiny, as they are both less than 1% of the size of an acre. Answer option (B) is 100 times the size of an acre and hence far too huge.

Because an acre is 10 times the size of a football pitch and is often used as a unit of measurement for broad regions, answer option (D) is a plausible estimate.

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A vertical translation (5 units up) is applied on quadratic function f(x) = x².

In this problem we find the representation of quadratic function and its image on Cartesian plane. The image is the consequence of using a vertical translation, whose definition is now introduced:

g(x) = f(x) + k

Where k is the y-coordinate of the quadratic function.

If we know that f(x) = x² and k = 5, then the image of the function is:

g(x) = x² + 5

The image is the result of a vertical translation (5 units up).

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Using 500ml of squash, the water that Ben will need is 2000ml.

If he halved the amount of squash, the water that he would need is 1000ml.

The people who use public transport are 18.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, the instructions on the bottle state that the squash should be mixed with water in a 1:4 ratio. The water needed will be:

= 4 × 500ml

= 2000ml

If he halved the amount of squash, this will be:

= 1/2 × 2000

= 1000ml

Those who use public transport will be:

= 2/3 × 27

= 18

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An expression equivalent to (a - b)³ is a³ - 3a²b + 3ab² - b³.

The fractions 4/10, 6/15, 8/20, etc. are identical to 2/5. In the reduced form, equivalent fractions have the same value. Explanation: When writing equivalent fractions, the numerator and denominator should be multiplied or divided by the same number.

One way to expand (a - b)³ is to use the binomial formula:

(a - b)³ = C(3,0) * a³ * (-b)^0 + C(3,1) * a² * (-b) + C(3,2) * a * (-b)² + C(3,3) * a * (-b)³

where C(n,k) denotes the number of ways there are to select k objects from a set of n objects, and "n choose k" is the binomial coefficient.

Simplifying the above expression, we get:

(a-b)³ = a³-3a²b+3ab²-b³.

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Answer:

The answer would be A

Step-by-step explanation:

For (f-9)(x), there seems to be a typo in the question as there is no value 9 involved in the problem.

To find (f+g)(x), we simply add f(x) and g(x):
(f+g)(x) = √(3x - 2) + 1/x
The domain of (f+g)(x) is all real numbers except x = 0 and x < 2/3.

To find (f-g)(x), we subtract g(x) from f(x):
(f-g)(x) = √(3x - 2) - 1/x
The domain of (f-g)(x) is all real numbers except x = 0 and x < 2/3.

To find (fg)(x), we multiply f(x) and g(x):
(fg)(x) = √(3x - 2)/x
The domain of (fg)(x) is all real numbers except x = 0 and x < 2/3.

To find (f/g)(x), we divide f(x) by g(x):
(f/g)(x) = (√(3x - 2))/(1/x) = √(3x - 2) * x
The domain of (f/g)(x) is all real numbers except x = 0 and x < 2/3.

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The given statement " the p-value for a Coefficient helps determine if it is statistically significant" is true. In statistical analysis, p-values are used to test the null hypothesis, which typically states that there is no significant relationship between the variables being analyzed.

A low p-value (usually below a predetermined significance level, such as 0.05) suggests that the null hypothesis can be rejected, indicating that there is a statistically significant relationship between the variables.

In the context of regression analysis, the p-value for a coefficient represents the probability of observing the obtained coefficient, or a more extreme one, under the assumption that the null hypothesis is true. If the p-value for a coefficient is low, it suggests that the corresponding independent variable is significantly related to the dependent variable. This means that the variable has an impact on the outcome and is not due to random chance.

To summarize, the p-value for a coefficient helps determine if it is statistically significant. A low p-value indicates that the null hypothesis can be rejected, suggesting a significant relationship between the variables. In regression analysis, a low p-value for a coefficient implies that the corresponding independent variable has a significant impact on the dependent variable.

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