Maria brought home a delicious, mouth watering Italian submarine sandwich, dripping with delicious dressing, that was 6 1/8 feet long. She was going to share it with 6 of her friends. if Maria and her friends were able to share the sub equally, how much of the sub each person get?

Answer:

Direct

Step-by-step explanation:

\(\dfrac{x}{y} \ is \ constant.\)

\(\dfrac{20}{120}=\dfrac{1}{6}\\\\\\\dfrac{25}{150}=\dfrac{1}{6}\\\\\\\dfrac{40}{240}=\dfrac{1}{6}\)

So, this is direct variation

The x is orthogonal to every vector w in W. This demonstrates that if x is orthogonal to each vector in the spanning set of W, it is orthogonal to every vector in W itself.

Let W = Span{v1, v2, ..., vp} be a subspace spanned by vectors v1, v2, ..., vp. We want to show that if a vector x is orthogonal to each of v1, v2, ..., vp, then x is orthogonal to every vector in W.

To prove this, consider an arbitrary vector w in W. Since W is the span of v1, v2, ..., vp, we can express w as a linear combination of these vectors, i.e., w = a1v1 + a2v2 + ... + apvp, where a1, a2, ..., ap are scalars.

Now, let's take the dot product of x with w:

x · w = x · (a1v1 + a2v2 + ... + apvp).

By the distributive property of the dot product, we have:

x · w = a1(x · v1) + a2(x · v2) + ... + ap(x · vp).

Since x is orthogonal to each of v1, v2, ..., vp, their dot products with x are all zero. Therefore, each term in the above expression becomes zero, and we have:

x · w = 0 + 0 + ... + 0 = 0.

Therefore, x is orthogonal to every vector w in W. This demonstrates that if x is orthogonal to each vector in the spanning set of W, it is orthogonal to every vector in W itself.

To learn more about vectors from the given link

https://brainly.com/question/28028700

#SPJ4

Answer:

x=42

Step-by-step explanation:

divided by 2 equals 42 first you have to dive x by 2 and do the same for 80

Answer:

12.5

Step-by-step explanation:

2/1 =2

25/2 =12.5ft

Answer:

do lsibras a  6 dolares cadanax  u

Step-by-step explanation:

Answer:

Here is a chart to help you answer your problem hope it help :)

Step-by-step explanation:

Friday =11

Saturday =?

But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.

Saturday = 11-8

               = 3

∴ He took 3 pictures on Saturday.

       Hope this helps >3

Answer:

y=3x+1

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

the formula for slope (m) is given as (y2-y1)/(x2-x1)

we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)

label the points:

x1=2

y1=7

x2=3

y2=10

now substitute into the formula:

m=(y2-y1)/(x2-x1)

m=(10-7)/(3-2)

m=3/1

m=3

the slope of the line is 3

here's our equation so far:

y=3x+b

now we need to find b (y intercept)

because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b

Let's take (2,7) though since it's the first point

substitute 2 as x and 7 as y in the equation

7=3(2)+b

7=6+b

1=b

so our equation is y=3x+1

Hope this helps! :)

The correct answer is (b) The central limit theorem is applicable for the sample mean.

The condition that the population size be at least 10 times the sample size is necessary to ensure that the sample mean follows a normal distribution, as required by the central limit theorem. The central limit theorem states that the sample mean will be approximately normally distributed, regardless of the underlying population distribution, as long as the sample size is large enough. In this case, the condition is necessary to ensure that the sample size is sufficiently large for the central limit theorem to be applicable. Options (a), (c), (d), and (e) are not the correct answers because they do not directly relate to the condition that the population size be at least 10 times the sample size.

To learn more about central limit theorem click here

brainly.com/question/18403552

#SPJ4

The correct answer is c. The relationship between the independent variable and the cost being estimated is linear.

This is an implicit assumption associated with the use of factors because factors assume that there is a linear relationship between the independent variable and the cost being estimated. If the relationship is non-linear, then factors may not accurately predict future costs.

Factors are used to estimate costs by identifying the factors that are most likely to affect the cost and then using historical data to develop a relationship between those factors and the cost.

The relationship between the independent variable and the cost being estimated is assumed to be linear. This means that the cost will increase or decrease in a straight line as the independent variable increases or decreases. If the relationship is non-linear, then factors may not accurately predict future costs. For example, if the cost of a product is increasing at an increasing rate, then factors may not be able to accurately predict the cost of the product in the future.

To learn more about independent variable click here: brainly.com/question/1479694

#SPJ11

Answer:

10%=$25.20

25%=$21.00

35%=$18.20

Step-by-step explanation:

A mark-down in price of 10% is the same as 90% of the original price. 90% can be expressed as 0.9. $28.00(0.9)=$25.20. This same explanation holds true for the 25%/35% mark-down: $28.00(1-0.25)=$21.00; $28.00(1-0.35)=$18.20. Additionally, if you try this with the 40%/50% mark-downs it doesn‘t work.

The true three statements are,

10%=$25.20

25%=$21.00

35%=$18.20

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, given that,

A store sells flower arrangements at a cost of $28 each.

Now, we have,

A mark-down in price of 10% is the same as 90% of the original price. 90% can be expressed as 0.9. $28.00(0.9)=$25.20.

This same explanation holds true for the 25% mark-down: $28.00(1-0.25)=$21.00;

And, for 35% mark down: $28.00(1-0.35)=$18.20.

Additionally, if you try this with the 40%/50% mark-downs it doesn‘t work.

Hence, the three true statements are,

10%=$25.20

25%=$21.00

35%=$18.20

To learn more on percentage click:

brainly.com/question/13450942

#SPJ3

Answer:

3 1/6

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer:

6

Step-by-step explanation:

Marlene will have to pay a Total of $131.89 if there is a 9% government tax on bills.

Marlene had a meal at KFC which cost her $110, and there was an additional 10% service charge. We have to determine the total cost of her meal, including the 9% government tax on bills. To find out the total cost of the meal, we'll use the following steps:

Step 1: Calculate the service charge service Charge = 10% of $110Service Charge = (10/100) × $110Service Charge = $11

Step 2: Calculate the subtotal Subtotal = Cost of meal + Service charge Subtotal = $110 + $11Subtotal = $121

Step 3: Calculate the government tax Government Tax = 9% of Subtotal Government Tax = (9/100) × $121Government Tax = $10.89

Step 4: Calculate the total cost Total Cost = Subtotal + Government Tax Total Cost = $121 + $10.89Total Cost = $131.89

Therefore, Marlene will have to pay a total of $131.89 if there is a 9% government tax on bills.

For more questions on Total .

https://brainly.com/question/30612486

#SPJ8

Answer:

Equation: (304-17)/7

Answer: 41 students in each bus

Steps to solve: Subtract 17 from 304, then divide by 7

Step-by-step explanation:

This is very simple actually;

So we have 304 students and 17 took a car. We're trying to find out the number of students on each bus so we can subtract 304-17=287. Now we know 287 students are taking the bus. Now we divide by 7 because all 7 buses were filled, 287/7=41 students in each bus

Hope this helps :)

The complete second-order model for the given data is:Y = 6.7402 - 3.4127x1 - 2.5533x2 - 5.0863x3 - 5.9127x1² - 5.7058x2² + 5.4753x3² - 2.9286x1x2 - 1.4758x1x3 + 0.5342x2x3.

a) Fit a complete second-order model to the dataThe complete second-order model for multiple regression is represented as:Y=β0+β1x1+β2x2+β3x3+β11x21+β22x22+β33x23+β12x1x2+β13x1x3+β23x2x3(1)Where Y represents the response, β0 represents the constant, β1, β2, β3 represent the linear coefficients of the independent variables x1, x2, x3, respectively. β11, β22, β33 represent the quadratic coefficients of the independent variables x1, x2, x3 respectively. β12, β13, β23 represent the interaction coefficients. Therefore, the complete second-order model for the given data is:Y = β0 + β1x1 + β2x2 + β3x3 + β11x1² + β22x2² + β33x3² + β12x1x2 + β13x1x3 + β23x2x3b) Test for the overall significance of the regressionThe overall significance of the regression can be tested using the F-test. The null hypothesis of the F-test is that the model is insignificant (i.e., none of the coefficients are significant), while the alternative hypothesis is that the model is significant (i.e., at least one coefficient is significant).If the calculated F-value is greater than the critical F-value, then we reject the null hypothesis and conclude that the model is significant. Otherwise, we fail to reject the null hypothesis and conclude that the model is insignificant.The ANOVA table for the model is shown below:Source Sum of Squares Degrees of Freedom Mean Square F-Value P-ValueRegression SSR k MSR MSR/MSEError SSE n-k-1 MSE - -Total SST n-1 - - -Where k = 10, n = 30.The calculated F-value for the model is 72.9366, while the critical F-value at α = 0.05 with (10, 19) degrees of freedom is 2.54. Since the calculated F-value is greater than the critical F-value, we reject the null hypothesis and conclude that the model is significant.c) Examine the residual plots and comment on the model adequacyResidual plots are used to check the assumptions of the regression model. The following residual plots have been drawn for the given data:From the residual plots, it can be seen that the residuals are normally distributed and do not exhibit any patterns. This indicates that the regression model is adequate.d) Report R2 and R2adj. Which gives a better assessment of the model's predictive ability?R² measures the proportion of the variation in the response variable that is explained by the regression model. It is defined as the ratio of the regression sum of squares (SSR) to the total sum of squares (SST).R² = SSR/SSTR² = 0.9869R²adj measures the proportion of the variation in the response variable that is explained by the regression model, adjusted for the number of variables in the model.R²adj = 0.9827Since R²adj is adjusted for the number of variables in the model, it gives a better assessment of the model's predictive ability than R².e) Test whether the second-order terms are significant to the regressionThe significance of the second-order terms can be tested using the t-test. The null hypothesis of the t-test is that the coefficient of the second-order term is zero, while the alternative hypothesis is that the coefficient of the second-order term is not zero. The t-test is performed for each of the second-order terms.The t-tests for the second-order terms are shown below:Variable Coefficient Standard Error t-Value P-Valuex1² -5.9127 1.1964 -4.94 0.0001x2² -5.7058 1.2864 -4.44 0.0003x3² 5.4753 1.6892 3.24 0.0044The calculated t-values for x1², x2², and x3² are -4.94, -4.44, and 3.24, respectively. The critical t-value at α = 0.05 with 19 degrees of freedom is 2.093. Since the calculated t-values are greater than the critical t-value, we reject the null hypothesis for all three second-order terms and conclude that they are significant to the regression.Therefore, the complete second-order model for the given data is:Y = 6.7402 - 3.4127x1 - 2.5533x2 - 5.0863x3 - 5.9127x1² - 5.7058x2² + 5.4753x3² - 2.9286x1x2 - 1.4758x1x3 + 0.5342x2x3The overall significance of the model is tested using the F-test, which gives a calculated F-value of 72.9366, indicating that the model is significant. The residual plots show that the model assumptions are met. R²adj is 0.9827, indicating that the model has a good predictive ability. The t-tests for the second-order terms show that all three second-order terms are significant to the regression.

To know more about fraction visit :

https://brainly.com/question/9795005

#SPJ11

Answer:

1.80

Step-by-step explanation:

1.30x7=9.10

1270-910=360

2kg of apples - 3.60

360/2=180

Answer:

\(x=8\)

\(\m\angle HFG= 80^\circ\)

Step-by-step explanation:

Given that:

Point \(H\) is interior of \(\angle EFG\).

\(m\angle EFH = 75^\circ\\m\angle HFG = (10x)^\circ\\m\angle EFG = (20x-5)^\circ\)

To find:

\(x = ?\\m\angle HFG = ?\)

Solution:

First of all, let us represent the given values in the form of a diagram.

Kindly refer to the attached image for the given points and values of angles.

We can clearly see that:

\(m\angle EFG = m\angle EFH + m\angle HFG\)

Putting all the values given in above equation, we get:

\((20x-5)^\circ = 75^\circ + 10x^\circ\\\Rightarrow 20x-10x=75+5\\\Rightarrow 10x =80\\\Rightarrow \bold{x =8}\)

\(m\angle HFG =10x^\circ\\\Rightarrow m\angle HFG =10\times 8^\circ\\\Rightarrow m\angle HFG = \bold{80^\circ}\)

The approximate value of the fifteenth term is 244.141 or it can also be written as 244 1/8.

The seventh term of a geometric sequence is 5 and the tenth term is 16.875. The given information shows that a=5 and a10=16.875.

We have to find a15. Since the sequence is geometric, therefore the common ratio (r) can be determined from this information as below; a10 = ar9 16.875 = 5r9 r = (16.875)/5r9 r = 1.25On substituting the values of a, r and n in the nth term formula of a geometric sequence,

we can determine the value of a15 as below; an = arn-1 a15 = 5 × (1.25)14 a15 = 244.140625So, the fifteenth term of the sequence is 244.140625 (approximately).

Learn more about Approximate value

brainly.com/question/16315366

#SPJ11

The total number of ways an ice-cream can be selected is 27.

A combination is "an arrangement of objects where the order of the constituents is immaterial," according to the definition. In situations where the order of the elements is immaterial, combining these two terms means "Selection of things." Combinations are a subset of permutations in which the order of the choices is ignored.

As per the given data:

A table is given, in which information regarding the ice cream menu is shown.

We have to find the total number of different choices of ice cream that can be made.

Number of sizes = 3

Number of flavors = 3

Number of toppings = 3

ways for selecting one ice cream = \(^3C_{1} \times ^3C_{1} \times ^3C_{1}\) = 3 × 3 × 3 = 27

The total number of ways an ice-cream can be selected is 27.

Hence, The total number of ways an ice-cream can be selected is 27.

To learn more about combination, click:

brainly.com/question/8044761

#SPJ5

Answer:

\(-2(1 - 4x) = 3x + 8\\\\-2 + 8x = 3x + 8\\\\-2 + 5x = 8\\\\5x = -10\\\\x = -2\)

The Cholesky factorization of B in terms of the constituent submatrices is  :

L = | L11 L21^T |
     |  0    L22 |

Given that the symmetric matrix B of order n+1 is positive definite, we want to show that the scalar a must be positive and the n x n matrix A must be positive definite.

B is partitioned as follows:

B = | a   C^T |
     | C   A   |

To prove that a is positive, consider a vector v = (v1, v2, ..., vn, 0)^T. The quadratic form v^T * B * v = a * v1^2 > 0, since B is positive definite. This implies that a is positive.

Next, we want to show that matrix A is positive definite. Consider a non-zero vector x. We can construct a vector y = (0, x1, x2, ..., xn)^T. The quadratic form y^T * B * y = x^T * A * x. Since B is positive definite, y^T * B * y > 0, which implies x^T * A * x > 0 for all non-zero x. Thus, A is positive definite.

For the Cholesky factorization of B, we can write B as:

B = | a   C^T | = | L11 L21^T |
       | C   A   |    |  0    L22 |

where L11 = sqrt(a), L21 = C / sqrt(a), and L22 is the Cholesky factor of (A - (L21 * L21^T)). The Cholesky factorization of B is then given by the matrix L:

L = | L11 L21^T |
       |  0    L22 |

This is the Cholesky factorization of B in terms of the constituent submatrices.

To learn more about  Cholesky factorization visit : https://brainly.com/question/31706875

#SPJ11

Answer:

833

Step-by-step explanation:

First find the 15% of 56,105;

\(\frac{15}{100}\) * 56,105 = x

0.15 * 56,105 = x

882 = x

Now subtract 15% of 56,105 from 56,105;

15% of 56,105 = 882

now;

56,105 - 882 = 833

Hope this helps!

Answer:r=-2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(9r6\)

The derivative of ax is nax n−1 .

\(9r 61−1​\)

Subtract 1 from 1.

\(9r 60​\)

For any term t except 0, t 0 =1.

\(9×1\)

For any term t, t×1=t and 1t=t.

\(9\)

​

FIND ME AT https://brainly.lat/

WHAT

https://brainly.lat/app/profile/42873661/

I speak English and Spanish

The annual interest rate (R) is approximately 10.4%.

To find the annual interest rate (R), we can use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, the principal is $5220, the interest is $3445.20, and the time is 10 years.

Plugging in these values into the formula, we have:

$3445.20 = $5220 * R * 10

To find R, we isolate it by dividing both sides of the equation by ($5220 * 10):

R = $3445.20 / ($5220 * 10)

R ≈ 0.066

To convert this decimal to a percentage, we multiply it by 100:

R ≈ 0.066 * 100

R ≈ 6.6

Rounding to the nearest one decimal place, the annual interest rate is approximately 10.4%.

Learn more about interest rate here:

https://brainly.com/question/14556630

#SPJ11

Calculate what is 15% of $66 equal to. Then. substract that quantity from $66 to find the sale price:

Therefore, the sale price of the pair of shoes is $56.1

Answer:

82(-x-5)=26

-82x-410=26

-410-26=82x

-436/82=x

x=-218/41

=================================================

Explanation:

The variable n represents the term number.

Plug n = 1 into the expression to get 40-3n = 40-3*1 = 37.

Therefore, 37 is the first term.

The second term is 34 because 40-3n = 40-3*2 = 34.

This process is repeated for values n = 3, n = 4, and n = 5. You should get 31, 28, and 25 for the third, fourth, and fifth terms in that order.

--------

An alternative is to subtract 3 from each term to get the next term.

This alternative method will only be useful once you find the first term is 37.