what is the probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5

Answer:

x = -6; y = 4

Step-by-step explanation:

I don't know how to use elimination but I think substitution is highly similar.

x=-6y+18

2(-6y+18)-3y=-24

-15y+36=-24

-15y=-60

y=4

x+6(4)=18

x+24=18

x=-6

I can check these answers by uzing x and y in the equations:

2(-6)-3(4)=-24

-12-12=-24

-24=-24

-6+24=18

18=18

Answer:

its y=2

Step-by-step explanation:

The residual value for x = 1 is 0. To find the residual value for x = 1, we need to plug in x = 1 into the equation for the least squares regression line (lsrl) that we have been given. The equation for the lsrl is ŷ = 5.5x + 18.5.

So, when x = 1, we have:
ŷ = 5.5(1) + 18.5
ŷ = 24
This means that the predicted value of y for x = 1 is 24.
To find the residual value, we need to subtract the predicted value of y from the actual value of y for x = 1.
The actual value of y for x = 1 is 24 (according to the data given).
So, the residual value for x = 1 is:
residual = actual value of y - predicted value of y
residual = 24 - 24
residual = 0
Therefore, the residual value for x = 1 is 0.

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The average rate of change of the quadratic function f(x) on the interval [0, 15] is equal to 23.

In Mathematics, the average rate of change of a function f(x) on a closed interval [a, b] can be determined by using this mathematical equation (formula):

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function f(x) over the interval [0, 15]:

a = 0; f(a) = -x² + 8x + 20

f(0) = -0² + 8(0) + 20

f(0) = 20

b = 9; f(b) = 365

f(15) = -15² + 8(15) + 20

f(15) = 365

By substituting the parameters into the average rate of change formula, we have the following;

Average rate of change = (365 - 20)/(15 - 0)

Average rate of change = 345/15

Average rate of change = 23.

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Reported to the proper number of significant figures, is 551.56 which has five significant figures.

The given expression is:(2115 - 2101) × (5.11 × 7.72)

Now let's evaluate the given expression to solve for the unknown. For that, we have to perform the mathematical operations in the following order according to the proper order of operations or the PEMDAS rule:

Parentheses or Brackets Exponents or Powers Multiplication or Division (from left to right) Addition or Subtraction (from left to right). So, let's solve the given expression by using the above rule.

(2115 - 2101) × (5.11 × 7.72)= 14 × (5.11 × 7.72)= 14 × 39.3972= 551.5608 ≈ 551.56

The answer, reported to the proper number of significant figures, is 551.56 which has five significant figures.

The first significant figure is 5 (it comes before decimal point), and the next four significant figures are 5, 1, 5, and 6 (they come after decimal point). The final answer should have no more than five significant figures because the least precise number given in the expression (2101) has four significant figures.

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If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.

This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.

If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.

Then, we have:

0 ≤ Sn ≤ M1 for all n (Sn is bounded)

0 ≤ Tn ≤ M2 for all n (Tn is bounded)

Now, let's consider the partial sums of the series ∑an∑bn:

Pn = a1(T1) + a2(T2) + ... + an(Tn)

Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.

Using the properties of the partial sums, we have:

0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)

Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.

Therefore, the given statement is True.

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Above estimated regression equation is based on 30 observations

.SST = 1,803

SSR = 1,762

To calculate:  Compute R² (to 3 decimal places)

Formula: The coefficient of determination (R²) can be calculated by using the following formula:

\(R^2 = \frac{SSR}{SST}\)

where,SSR = Sum of squared regression

SST = Total sum of squares

Calculation: SSR = 1,762

SST = 1,803

R² = SSR/SST

= 1,762/1,803

≈ 0.977

Therefore, the value of R² is 0.977 (approx) which means 97.7% of the variability in the response variable is explained by the regression model.

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Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Multiply 2/3 and 18. Since it a whole number, convert it to a fraction by putting it over a denominator of 1. When multiplying fractions, calculate numerator times numerator, then denominator times denominator. Multiply 2/3 x 18/1 to get 36/3.

Simplify the resulting fraction as needed by dividing it by the common denominator. The common denominator of 36 and 3 is 3. Diving 36 and 3 by 3 gives you a fraction of 12/1, which is the same as 12. Thus, two-thirds of 18 is 12.

\(\frac{2}{3}*\frac{18}{1}\)

\(=\frac{36}{3}\)

\(=\frac{12}{1}\)

\(=12\)

[RevyBreeze]

Answer:

Step-by-step explanation:

(2x + 5)(x + 5) = 0

2x + 5 = 0

2x = - 5

x = -5/2

x + 5 = 0

x = -5

Answer:

8/10 is larger

Step-by-step explanation:

8/10 can be also written as  80/100

So comparing 80/100 and 73/100

80/100 is larger thus 8/10 is larger

Hope this helps!

Answer:

8/10

Step-by-step explanation:

Step 1: Convert to Common Denominator (100)

8/10 = 80/100

Step 3: Which is bigger???

80/100 (8/10) is bigger than 73/100

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

Marina should have reversed the inequality in her final answer, reflecting the correct relationship between the magnitudes or absolute values of -2/3 and -5/8.

When comparing the absolute values of two numbers, the comparison is based on their magnitude or distance from zero, regardless of their sign.

In this case, Marina compared the decimal equivalents of -2/3 and -5/8, which are -0.666666... and -0.625, respectively. By calculating the decimal values, Marina attempted to compare the magnitudes of the numbers.

Marina correctly observed that |-0.666666...| = 0.666666... and |-0.625| = 0.625. However, she made an error in comparing the values by stating |-0.666666...| > |-0.625|.

To understand why the inequality needs to be reversed in her final answer (-2/3 < -5/8), let's examine the decimal values more closely.

When we write -0.666666... as a fraction, we have -2/3, and when we write -0.625 as a fraction, we have -5/8.

Now, when comparing fractions, a larger magnitude corresponds to a smaller value. In other words, the fraction with the smaller numerator or the larger denominator has a smaller value.

In this case, we can observe that -2/3 has a smaller numerator compared to -5/8, indicating a larger magnitude. Thus, -2/3 is actually greater than -5/8 in terms of their magnitudes or absolute values.

To correctly represent this comparison, the inequality should be reversed, resulting in the correct statement: -2/3 > -5/8.

Therefore, Marina should have reversed the inequality in her final answer, reflecting the correct relationship between the magnitudes or absolute values of -2/3 and -5/8.

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Answer:

x = 5, y = 1

Step-by-step explanation:

2x - y = 9

2x + y = 11         subtract equation 2 from equation 1

0 - 2y = -2

y = -2/-2 = 1       substitute into equation 1 or 2 to solve for x

2x - 1 = 9

2x = 10

x = 10/2 = 5

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

The approximate value of the integral is -9.0167.

To approximate the value of the given integral using the trapezoidal rule with n = 10, we divide the interval [5, 9] into 10 subintervals and apply the formula for the trapezoidal rule.

The trapezoidal rule states that the integral of a function f(x) over an interval [a, b] can be approximated as follows:

∫[a to b] f(x) dx ≈ (b - a) * [f(a) + f(b)] / 2

In this case, the integral we need to approximate is:

∫[5 to 9] (2x + x²) dx

We divide the interval [5, 9] into 10 subintervals of equal width:

Subinterval 1: [5, 5.4]

Subinterval 2: [5.4, 5.8]

...

Subinterval 10: [8.6, 9]

The width of each subinterval is h = (9 - 5) / 10 = 0.4

Now we calculate the approximation using the trapezoidal rule:

Approximation = h * [f(a) + 2(f(x1) + f(x2) + ... + f(xn-1)) + f(b)]

For each subinterval, we evaluate the function at both endpoints and sum the values.

Finally, we sum the approximations for each subinterval to obtain the approximate value of the integral. In this case, the approximate value is -9.0167 (rounded to four decimal places).

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The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

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The denominator is the bottom part of a fraction or ratio. It represents the total number or quantity that the numerator is being divided by or compared to. It provides context and scale for the value being expressed.

To find out how much stock is drilled to pierce both pieces, you need to add the thickness of the truck frame and the crossmember. Then, you can use that sum to determine how much stock needs to be drilled to pierce both pieces.

The thickness of the truck frame is given as 3/16 inch and the thickness of the crossmember is given as 13/64 inch. To add these fractions, you need to first find a common denominator, which in this case is 64.

So, 3/16 can be converted to 24/64 and 13/64 is already in the correct format. Adding these fractions gives:

24/64 + 13/64 = 37/64

Therefore, the combined thickness of the truck frame and crossmember is 37/64 inch. This is how much stock needs to be drilled to pierce both pieces.

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0.6. This is the probability that the student takes either chemistry or Spanish or both. Option C. is the answer

Probability is a measure of the likelihood of a particular event or outcome occurring.

Given the: Venn diagram where P(A) = 0.2 and P(B) = 0.3 and P(A∩B) = 0.1

Since A = student takes chemistry and B = student takes Spanish

P(A∪B) defines the set of students that take either A or B or both

Thus, P(A∪B) will the addition of P(A), P(B) and P(A∩B). That is:

P(A∪B) = P(A) + P(B) + P(A∩B)

P(A∪B) = 0.2 + 0.3 + 0.1 = 0.6

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The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

the answer is c.

Step-by-step explanation:

The probability that one microprocessor works is 0.8 and the probability that at least one microprocessor works is 0.99968.

a. The probability that one microprocessor works is 0.8, since 20% are defective. Assuming independence, the probability that all five work is:

P(all work) = (0.8)^5 = 0.32768

Therefore, the probability that all five microprocessors work is 0.32768.

b. The probability that at least one microprocessor works is equivalent to the complement of the probability that none of the microprocessors work. The probability that one microprocessor does not work is 0.2, and assuming independence, the probability that none of the five work is:

P(none work) = (0.2)^5 = 0.00032

Therefore, the probability that at least one microprocessor works is:

P(at least one works) = 1 - P(none work) = 1 - 0.00032 = 0.99968

Therefore, the probability that at least one microprocessor works is 0.99968.

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\(\\ \sf\bull\longmapsto f(x)=4x+10\)

\(\\ \sf\bull\longmapsto f(3)\)

\(\\ \sf\bull\longmapsto 4(3)+10\)

\(\\ \sf\bull\longmapsto 12+10\)

\(\\ \sf\bull\longmapsto 22\)

Answer:

f(3) = 22

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 4(3) + 10 = 12 + 10 = 22

Answer:

   3 tons

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

c

you neeed to do the INVERSE  option

* is into /

+ is into -

- is into +

/ is into*

If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

By employing the criteria that certain events have occurred, the Bayes Theorem allows us to determine the posterior probability. 

Given that,

E: Purchaser has extended Warranty.

A: He chooses a basic model.

B: He chooses a deluxe model.

P(A) = 0.42

P(B) = 0.58

P(E/A) = 0.44

P(E/B) = 0.49

The probability that a randomly selected customer has an extended warranty is given by:

P(E)= P(E/A)*P(A)+P(E/B)*P(B) = 0.44*0.42 + 0.49*0.58= 0.469

If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is given by:

P(A/E)= P(E/A)*P(A)/P(E) = 0.44*0.42/0.469 = 0.3940

Thus, If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

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Answer: m=6

Step-by-step explanation:

\(9+12m=6+15\left(m-1\right)\)

\(6+15\left(m-1\right)=15m-9\)

\(9+12m=15m-9\)

subtract 9 on both sides

\(9+12m-9=15m-9-9\)

\(12m=15m-18\)

subtract 15m on both sides

\(12m-15m=15m-18-15m\)

\(-3m=-18\)

divide by -3 on both sides

\(\frac{-3m}{-3}=\frac{-18}{-3}\)

since \(\frac{-a}{-b}=\frac{a}{b}\)

\(\frac{-18}{-3}=6\)

\(m=6\)

The rate of change in altitude of the plane during the time is 625 ft/min.

Given the Parameters:

Altitude at 2.40 pm = 30000 feets

Altitude at 2.48 pm = 25000 feets

Rate of change = change in altitude/change in time

change in time = 2.48 - 2.40 = 8 minutes

change in altitude = 30000 - 25000 = 5000 feets

Rate of change = 5000/8 = 625 feets per minute

Therefore, the rate of change in altitude of the plane is 625 ft/min.

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Answer:

57

Step-by-step explanation:

morning bestie hgcj hcvjhcv jdvzdh

Answer:

9 square megameters

Explanation:

Given:

We want to find out how many square megameters are in 9,000,000 square kilometers.

Multiply both sides of the equation by 9,000,000.

There are 9 square megameters in 9,000,000 square kilometers.