QUESTION Use the given data to find the best predicted value of the response variable.
Eight pairs of data yierld r = 0.708 and the regression equation y = 55.8 + 2.79x also y 71. 125 what's the best predicted value of y for x = 9.9 ?
a. 71.13
b. 83.42
c. 57.80
d. 555.21

Answer:

I think it's d

Step-by-step explanation:

Nit 100% sure but if nit its b

The number sentence that matches the given word problem is:

A. 7-6 = 1

The word problem asks how much more weight the large crane can lift than the small crane. To find the difference, we subtract the weight capacity of the small crane (6 tons) from the weight capacity of the large crane (7 tons).

Therefore, 7 - 6 = 1, which means the large crane can lift 1 ton more than the small crane.

Answer:

The value of 12^2 would be=144

Explanation:

According to the given data we have the following expression:

To calculate 12^2 we would have to make the following calculation:

12^2=12*12

Hence, if 12*12=144,

Therefore, the value of 12^2 would be=144

Answer:

2

Step-by-step explanation:

The equation 3y = 6x + 9 is set up in slope-intercept form, which is y = mx + b. In y = mx + b, m equals slope. To find the slope of 3y = 6x + 9, you would have to get y by itself by dividing the entire equation by 3.

3y = 6x + 9 ÷ 3

y = 2x + 9

The slope equals two.

Parallel lines have the same slope because they must have the same angle. Therefore, the slope of line “t” must also be 2.

Answer:

1144

Step-by-step explanation:

100 + 98 + 96 +.... + 78+76 =

(12-0)/2 (176)  

(6.5) (176) = 1144

The sum of the series will be 1068.

We have the following expression -

\(\sum_{i=0}^{12} 100 - 2i\)

We have to rewrite the series as the sum.

A series in mathematics is the sum of a list of numbers that are generated according to some pattern.

We have the following expression -

\(\sum_{i=0}^{12} 100 - 2i\)

The terms of this series can be calculated by calculating the value of the function at different values of i.

The series is as follows -

100 + 98 + 96 +.... + 78+76

This is an arithmetic progression with a = 100 and d = - 2 and n = 12. The sum of this series is -

\(S = \frac{n}{2} \times {2a + (n-1)d}\)

S = \(\frac{12}{2} [{2 \times 100 + (12 -1)(-2)] = 6[200+ 11 \times -2] = 6[200 -22]\)

S = 6 x 178 = 1068

The sum of the series will be 1068.

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The measure of angle t is 50°. therefore option are not related to answer.

An angle is defined as the intersection of two non-collinear rays with a common endpoint or the intersection of two

sides of a plane figure, sharing a common endpoint.

The given angle is coterminal with -710°. Coterminal angles have the same initial and terminal sides, i.e., the same initial

point and the same terminal point.

In order to find the measure of angle t, we must first find the equivalent angle between 0 and 360°.710° is equal to:

710° - 360° = 350°

Thus, the angle t's measure is equal to 350°.

Now, we must find the equivalent angle between 0 and 360°.350° is equal to:350° - 360° = -10° (not between 0 and 360)

Therefore, to find the equivalent angle between 0 and 360, we must add 360° to the angle that is negative.

Thus: -10° + 360° = 350°.So, the measure of angle t is 50°.Answer: 50°.

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The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

4 over 1

4:1

4/1

Step-by-step explanation:

divide 16 by 4, which gets you 4.

and also divide 4 and 1, which gets you 1

Answer:

Answer: C) diameter is twice the radius

Step-by-step explanation:

edge2021

Answer:

Bottom answer

Step-by-step explanation:

Although I cannot see the answer labels, the answer is the very bottom graph.  The way you can find a functional graph is if you add vertical lines going down and that there is only one point that crosses it, not two.  It is kind of difficult for me to explain, so if you need help, I suggest you look up how to know when a graph is a function or not.

The two non negative real numbers with a sum of 40 have the largest possible product are 20 and 20.

Steps to find Maximum of a function f(x).

Step 1 : Differentiate the function F(x)

Step 2 : Equate f'(x) to zero to find the critical points .

Step 3 : Substitute the critical points in f''(x) , if

f''(x)< 0 them maximum value will be at the critical point.

in the given function

the sum of two non negative real numbers is 40.

Let the numbers be x and y .

So , x+y=40

y=40-x     ....(1)

We need to maximize the product i.e. x.y

Substituting the value of y from equation (1) we get

\(f(x)=x.y\\ \\ f(x)=x.(40-x)\\ \\ f(x)=40x-x^{2}\)

Step (i) differentiating with respect to x we get

\(f'(x)=40-2x\)

Step (ii) Equating f'(x) to 0

\(40-2x=0\\ \\ x=20\)

x=20 will be the critical point .

Step (iii) Substituting the critical point in f''(x)

again differentiating with respect to x we get

\(f''(x)=-2\\ \\ f''(20)=-2\)

Since -2<0. therefore , x=20 is the point where f(x) is maximum.

Substituting the value of x=20 in equation (1) we get

y=40-x

y=40-20

y=20.

Therefore , the two non negative real numbers with a sum of 40 have the largest possible product are 20 and 20.

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The statement "It is rigid because all side lengths and angles are congruent" is true.

In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.

Answer: A. it is rigid because all side lengths and angles are congruent.

Step-by-step explanation: RIGHT ON EDGE 2023

Answer:

i think it A

Step-by-step explanation:

Answer:thank u

Step-by-step explanation:

A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.

let the cost price be 50x

→he sells 30kg of fruits on it's CP of 35 kg

→CP of 30kg fruits = 30x

→SP of 35kg fruits = 35x

→remaing fruits are 20kg

→he sells 20kg of fruits on CP of 16kg

→CP of 20kg fruits = 20x

→SP of 20kg fruits = 16x

→total CP is = 50x

→total SP is = (35 + 16) = 51x

→SP > CP (it means profit)

→profit = SP-CP

→ 51-50

→ 1

→ Profit% = gain/CP × 100

→ Profit% = 1/50 × 100

→ 2%

Hence the fruit seller had a profit% of 2%.

Answer:

i think 90

Step-by-step explanation:

No of boys = 40%

let total no. of children be as "x"

now, 40% of x= 2x/5.

and since boys differ girls by 18.

no. of girl would be x-2x/5=3x/5.

now No. of boys= 2x/5

and no. of girls= 3x/5

no. of total children would then be as = 3x/5 - 2x/5= 18

The value of "X" would then be as = 90

To find no. of boys we would do 2x/5 X 90= 36

and no. of girls = 3x/5 X 90= 54.

to prove my answer 54-36= 18

Hope it helps C":

Suppose there are X children at the childcare.

Thus :

boys + girls = X

__________________________

40% of the children are boys .

Thus :

There are 40/100 × X boys .

So : boys = 0.4X (( Ω ))

__________________________

There are 18 more girls than boys

Thus :

girls - boys = 18

girls - ( 40/100 X ) = 18

girls - 0.4X = 18

Add sides 0.4X

girls - 0.4X + 0.4X = 18 + 0.4X

girls = 18 + 0.4X (( μ ))

__________________________

Now It's time to put (( μ ))

and (( Ω )) in the above equation.

boys + girls = X

0.4X + 18 + 0.4X = X

0.8X + 18 = X

Subtract sides 0.8X

- 0.8X + 0.8X + 18 = 1X - 0.8X

18 = 0.2X

0.2X = 18

Divided sides by 0.2 (( 2/10 ))

2/10 ÷ 2/10 × X = 18 ÷ 2/10

X = 18 × 10/2

X = 18 × 5

X = 90

Thus there are 90 children at the childcare.

Done.....♥️♥️♥️♥️♥️

Answer:

8.21%

Step-by-step explanation:

r = (1/t)(A/P - 1)

t = 13

A = 6200

P = 3000

        1          6200

r = (-------) ((------------) - 1))

       13         3000

        1          31

r = (-------) ( ------ - 1)

       13         15

        1          16

r = (-------) ( ------ )

       13         15

       16

r = --------  =  0.0820512

       195

r = 0.0820512 x 100 = 8.20512

r ≈ 8.21%

I hope this helps!

Answer:

Step-by-step explanation:

Compounded Monthly:

Use A=P(1+r/n)^nt

A=6200

P=3000

t=13

n=12

​

Plug in and simplify:

1. Multiply 12 times 13

2. Divide out the 3000

3. Raise both sides to the 1/156 power to cancel out the exponent

4. Subtract 1 from both sides

5. Multiply by 12 on both sides

R should equal 0.0559716

That is about 5.60%

5.60%

Answer:

C it does make sense and looks like right answer

With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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To find the limit of the given expression as x approaches 0, we can apply l'Hôpital's Rule, which states that if we have an indeterminate form of the type "0/0" or "∞/∞", we can take the derivative of the numerator and denominator until we obtain a determinate form.

Let's apply l'Hôpital's Rule to the given limit:

lim (5e^x - 5 - 5x) / (9x^2) as x approaches 0

Taking the derivative of the numerator and denominator:

lim (5e^x - 5) / (18x)

Now we can directly evaluate the limit by substituting x = 0 into the expression:

(5e^0 - 5) / (18(0))

(5 - 5) / (0)

0/0

We still have an indeterminate form of "0/0". Therefore, we can apply l'Hôpital's Rule again by taking the derivative of the numerator and denominator:

lim (5e^x - 5) / (18x)

lim (5e^x) / 18

Now we can evaluate the limit as x approaches 0:

(5e^0) / 18

(5) / 18

Therefore, the limit of the given expression as x approaches 0 is 5/18.

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Answer:

Depending on what type of math class you are in, or how your teacher taught it, it could be either 12 R:4 or 12 + 1/370.

Step-by-step explanation:

Remainders can be written in two ways, R: [remainder] or the whole number quotient + [remainder number]/[dividend]. For this problem you would have to simplify 4/1480 to 1/370 because 1480/4 equals 370. So, your final answer would be 12 + 1/370 or 12 R:4.

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

Answer: A: the number of boards in one kit

Step-by-step explanation:

i passed linear algebra with 98%, trust me

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Step 4: Find w

Answer:

3 - x/12

Step-by-step explanation:

follow the steps in the sentence

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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well, let's recall what a radius is, is simply the distance from the center of a  circle to a point on that circle, so the distance between those two points is the radius

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{9}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{ radius }{r}=\sqrt{(~~7 - 9~~)^2 + (~~4 - 10~~)^2} \implies r=\sqrt{( -2 )^2 + ( -6 )^2} \\\\\\ r=\sqrt{ 4 + 36 } \implies r=\sqrt{ 40 }\implies r\approx 6.32\)

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\) = 0.97

sin(∠C) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\) = 0.26

tan(∠C) = \(\frac{\text{Adjacent side}}{\text{Adjacent side}}\) = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

             = sin(∠C)

             = 0.26

sin(∠A) = sin(90 - ∠A)

            = cos(∠A)

            = 0.97

tan(∠A) = \(\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}\)

            = 3.73

Angle        \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)                 \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)                    \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

  A                    0.26                       0.97                             3.73

The population proportions are different from the hypothesized values.

To test the hypotheses, we can use the chi-square goodness-of-fit test.

The null hypothesis (H0) is that the population proportions are pA = 0.40, pB = 0.40, and pC = 0.20. The alternative hypothesis (Ha) is that the population proportions are not pA = 0.40, pB = 0.40, and pC = 0.20.

We can calculate the expected frequencies for each category under the null hypothesis as follows:

Expected frequency for category A = 0.40 x 200 = 80

Expected frequency for category B = 0.40 x 200 = 80

Expected frequency for category C = 0.20 x 200 = 40

We can then calculate the chi-square statistic as:

χ2 = ∑(O-E)2 / E

where O is the observed frequency and E is the expected frequency.

Using the values from the sample, we get:

χ2 = [(160-80)2/80] + [(20-80)2/80] + [(20-40)2/40]

= 120 + 900 + 100

= 1120

The degrees of freedom for this test is df = k - 1 = 3 - 1 = 2, where k is the number of categories.

Using a chi-square distribution table with df = 2 and a significance level of α = 0.01, we find the critical value to be 9.210.

Since the calculated chi-square statistic (1120) is greater than the critical value (9.210), we reject the null hypothesis and conclude that the population proportions are not pA = 0.40, pB = 0.40, and pC = 0.20.

Therefore, there is sufficient evidence to suggest that the population proportions are different from the hypothesized values.

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Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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