Faith makes beaded necklaces that she sells for $3 each. She manages to sell two necklaces every day for 7 days. If she wants to make $60, what equation shows the money ‘E' she still needs to make at the end of 7 days? A. 60 − (3×2×7) = E B. 60 − (3×2×7) = E C. 60 − (3×2×7) = E D. 60 − (3×2×7) = E

Answer:

Step-by-step explanation:

earns $6.25

A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.

What is regression ?

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).

Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, A regression model can only predict values that are lower or higher than the actual value.

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If we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.01, reject H₀ in favor of H₁. The correct answer is (a)

If the confidence interval for the population mean does not contain the hypothesized value in the null hypothesis, then we can reject the null hypothesis in favor of the alternative hypothesis.

In this case, the confidence interval is centered around 10.15, and it does not contain the hypothesized value of 16. Therefore, we can conclude that we have evidence to reject the null hypothesis at a significance level of 0.01 and accept the alternative hypothesis that the population mean is not equal to 16.

It is important to note that this decision is based on the confidence interval and significance level given in the question. If the confidence level or significance level were different, the decision might be different as well.

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Answer:

7

Step-by-step explanation:

Write the numbers lowest to greatest

16  18 20 21 25 42

range is  25- 18 = 7

The distance of plane from the starting point is 69.46 km.

Given that the plane first flies 35 km in the direction N30W and then 60 km in the direction N60E.

We have to find the distance of plane from starting point.

We have to use pythagoras theorem in this which says that the square of hypotenuse is equal to sum of squares of the base and perpendicular.

\(H^{2} =P^{2} +B^{2}\)

From the figure we can say that P=35 km .and B=60 km

In this we have to find the value of H when P=35 and B=60

\(H^{2} =35^{2} +60^{2}\)

\(H^{2}\)=1225+3600

\(H^{2}\)=6946

H=69.46

Hence the distance of plane from starting point is 69.46 km.

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Answer:

f(x)=3x−3

Step-by-step explanation:

hope this helps.

The diameter of a circle is 10 feet.

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

Given that, the circumference of a circle is 31.4 ft.

We know that, circumference of a circle is 2πr

Now, 2πr=31.4

2×3.14×r=31.4

6.28r=31.4

r=31.4/6.28

r=5 feet

Then, diameter=2×radius =10 feet

Therefore, the diameter is 10 feet.

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Answer:

7.99

Step-by-step explanation:

using the formula

\(v = \pi \: r ^{2} h \)

\(3014.4 = 22 \div 7 \times r ^{2} \times 15\)

\(21100.8 = 22 \times 15 \times r {}^{2} \)

\(21100.8 = 330 \times r {}^{2} \)

\(21100.8 \div 330 = r {}^{2} \)

\( \sqrt{63.94 }= r\)

\(r = 7.99ft \: answer\)

The final step of the given inequality is x < 3. Therefore, option C is the correct answer.

The given inequality is -2(5 - 4x) < 6x - 4.

We need to solve and write the final step of the given inequality.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The inequality -2(5 - 4x) < 6x - 4 can be solved as follows:

⇒ -10 + 8x < 6x - 4

⇒ -10 + 8x-8x < 6x - 4-8x (Subtract 8x on both the side of the inequality)

⇒ -10 < -4 -2x

⇒ -10+4 < -4 -2x+4 (Add 4 on both the side of the inequality)

⇒ -6 < -2x

⇒ -6 < -2x (Divide -2 on both the side of the inequality)

⇒ x < 3

The final step of the given inequality is x < 3. Therefore, option C is the correct answer.

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Answer:

2.5w + 7.5

Step-by-step explanation:

2.5(w+3)

2.5w+7.5

Answer:

1

Step-by-step explanation:

Using the sum to product formulae and the exact values

sin x + sin y = 2sin(\(\frac{x+y}{2}\) )cos(\(\frac{x-y}{2}\) )

cos x + cos y = 2cos(\(\frac{x+y}{2}\) )cos(\(\frac{x-y}{2}\) )

sin45° = cos45° = \(\frac{1}{\sqrt{2} }\) , cos30° = \(\frac{\sqrt{3} }{2}\)

Given

\(\frac{sin75+sin15}{cos75+cos15}\)

= \(\frac{2sin(\frac{75+15}{2})cos(\frac{75-15}{2}) }{2cos(\frac{75+15}{2})cos(\frac{75-15}{2}) }\)

= \(\frac{2si45cos30}{2cos45cos30}\)

= (2 × \(\frac{1}{\sqrt{2} }\) × \(\frac{\sqrt{3} }{2}\) ) ÷ (2 × \(\frac{1}{\sqrt{2} }\) × \(\frac{\sqrt{3} }{2}\) )

= 1

Answer:  1

Step-by-step explanation:

sin 75 = sin(30 + 45) = sin30 · cos45  + cos30 · sin45

                                 \(=\dfrac{1}{2}\cdot \dfrac{\sqrt2}{2}+\dfrac{\sqrt3}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt2+\sqrt6}{4}\)

sin 15 = sin(45 - 30) = sin45 · cos30  - cos45 · sin30

                                  \(=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}-\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}\)

cos 75 = cos(30 + 45) = cos30 · cos45  - sin30 · sin45

                                   \(=\dfrac{\sqrt3}{2}\cdot \dfrac{\sqrt2}{2}-\dfrac{1}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt6-\sqrt2}{4}\)

cos 15 = cos(45 - 30) = cos45 · cos30  + sin45 · sin30

                                   \(=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}+\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}\)

       \(\dfrac{\sin 75+\sin 15}{\cos 75+\cos 15}\)

   \(=\dfrac{\frac{\sqrt2+\sqrt6}{4}+\frac{\sqrt6-\sqrt2}{4}}{\frac{\sqrt6-\sqrt2}{4}+\frac{\sqrt6+\sqrt2}{4}}\\\\\\=\dfrac{\frac{\sqrt6}{2}}{\frac{\sqrt6}{2}}\\\\\\=1\)

-17 = x - 15

-17 = -2 - 15

Move the 15 over to the -17, the negative becomes a positive.

15-17 = -2

17 - 15 = 2 but since 17 is greater than 15, it's -2

-2 = -2

The values of h(1) = 2 ,h(3) = 4 ,h(-1) = -2 , h(-4) =13

What is a graph?

The graph of a function f in mathematics is the collection of ordered pairs where displaystyle f(x)=y. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).

From the graph we can get to know the values of

h(1) = 2

h(3)= 4

h(x)= 0

when x =-5,-2,0,2,4

h(-1)= -2

h(-4) =13

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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The correct option is conflict because the p-value is much smaller.

In statistics, the p-value represents the probability of getting the observed data or a more extreme value of the test statistic assuming the null hypothesis is true.

A p-value of 0.00056 is a strong indication that the observed data is highly unlikely to have occurred by chance. A p-value of this small magnitude is not common in practice.

Therefore, the null hypothesis, in this case, is rejected, and we accept the alternative hypothesis.

Hence, the first study conflicts with the new study because the results are different.

An effect size is a statistical measure that represents the strength of the relationship between two variables.

The effect size of -0.6342 indicates that there is a moderate negative relationship between the two variables in question.

The absolute value of the effect size shows the strength of the relationship. Hence, the effect size does not affect whether the new study confirms or conflicts with the first study.

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

a - 1/50 is the ans

1/5 divided by 10 = 0.02

1/50 is also 0.02

Expecting that you're alluding to a triangle ABC with a flat side AB, and a bat hitting the triangle at a few points D over side AB, here's a reply:

The whole of the points in a triangle is continuously 180 degrees. Let's call the third point in triangle ABC "C". At that point, we have:

point A + point B + point C = 180 degrees

Since we know that point A and point B are both less than 90 degrees (since they're portion of a right triangle with side AB as the hypotenuse), we know that point C must be more prominent than degrees and less than 90 degrees. Subsequently, the conceivable measures of point C are any esteem between and 90 degrees, comprehensive.

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This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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Answer:

It would be 28.69.

Explanation:

4.99 x \(5 \frac{3}{4}\) = 28.6925

Because of the kind of number (28.6925), you will have to round up.

To round up the number has to be a 5 or higher. Well, you have a 9 and then a 2. A 2 can't round up a 9, so you just end up discarding the 2 and the 5 at the end of the number.

Henceforth, you are left with 28.69.

-----------------------------------------------

Hope this makes sense and is correct!

God bless! :)

Answer:

  A = 95238 (only)

Step-by-step explanation:

The question is equivalent to asking what n-digit number consisting only of the digit n will be divisible by n+1. Of the numbers 1, 22, 333, 4444, ... 999999999, the only one is 666666, which is divisible by 7.

The 5-digit integer A is 666666/7 = 95,238. There is only one instance of A.

Answer:

(22,2) and (18,6)

Step-by-step explanation:

Heyyyy so the equation is y=24-x

So let's do 24-x to get y

24-18=6

Same thing

24-22=2

I also did this on Khan so yeah its right :D

Answer: 4.20 gigabyte

Step-by-step explanation:

Based on the information given in the question, the equation that can be used to determine the the number of gigabytes of data Peyton can use while staying within her budget will be:

48 + 3g = 60.60

3g = 60.60 - 48

3g = 12.60

g = 12.60/3

= 4.20

The number of gigabytes of data is 4.20g

Answer:

Equation: 3g+48=60.6

Answer: g=4.2

Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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The satellite should be insured for 98 months (rounded up to the nearest month) to be 96% confident that the microchip will last beyond the insurance date.

To answer this question, we need to find the number of months for which we can be 96% confident that the microchip will not malfunction. This means we want to find the value of x such that P(X > x) = 0.04, where X is the random variable representing the life expectancy of the microchip.

We know that X follows a normal distribution with mean μ = 92 months and standard deviation σ = 3.6 months. Therefore, we can standardize X to the standard normal distribution Z ~ N(0, 1) using the formula

Z = (X - μ) / σ

We can then rewrite the probability P(X > x) as

P(X > x) = P(Z > (x - μ) / σ)

1.75 = (x - 92) / 3.6

Solving for x, we get

x = 98 months

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The given question is incomplete, the complete question is:

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 92 months and a standard deviation of 3.6 months. when this computer-relay microchip malfunctions, the entire satellite is useless. a large london insurance company is going to insure the satellite for 50 million dollars. assume that the only part of the satellite in question is the microchip. all other components will work indefinitely. a button hyperlink to the salt program that reads: use salt.for how many months should the satellite be insured to be 96% confident that it will last beyond the insurance date?

Answer:

175 cm^3

Step-by-step explanation:

Placing the two objects into the beaker displaces 350 cm^3 into the graduated beaker .....so each object is   350 cm^3 /2 = 175 cm^3