What is the y-intercept for this line?

-4/3 x + (-1) = y

Zaire has a total of 7 holes * 4 points/hole = 28 points from scores of 4 from last week.To reach 60 points, he needs to score 4 on 60 - 28 = 32 more holes today. So, Zaire needs to score a 4 on 32 holes today.

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Answer:

1

Step-by-step explanation:

48 / 48 = 1

Answer:

\(t=\frac{19.9-19}{\frac{4.5}{\sqrt{45}}}=1.342\)  

The degrees of freedom are given by:

\( df=n-1= 45-1=44\)

And the p value would be;

\(p_v =P(t_{44}>1.342)=0.0932\)  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 19 mph

Step-by-step explanation:

Information given

\(\bar X=19.9\) represent the sample mean

\(s=4.5\) represent the sample standard deviation

\(n=45\) sample size  

\(\mu_o =19\) represent the value to verify

\(\alpha=0.01\) represent the significance level for the hypothesis test.  

t would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to verify if the true mean is higher than 19, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 19\)  

Alternative hypothesis:\(\mu > 19\)  

The statistic would be given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)  

Replacing the info given we got:

\(t=\frac{19.9-19}{\frac{4.5}{\sqrt{45}}}=1.342\)  

The degrees of freedom are given by:

\( df=n-1= 45-1=44\)

And the p value would be;

\(p_v =P(t_{44}>1.342)=0.0932\)  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 19 mph

The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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Answer:

Step-by-step explanation:

2.5

We can see here that the correct option will likely be option D.

None of the statements provided by Shelby, Tatyana, and Mauricio correctly describe the steps to simplifying the expression 17.62+(24-12). The correct steps would be:

Subtract 12 from 24 to get 12

Add 12 to 17.62 to get 29.62

Simplify the expression to 29.62

Simplification is the process of making an expression simpler, without changing its value. This can involve combining like terms, removing unnecessary operations or terms, and applying the order of operations. The goal of simplification is to make an expression easier to understand, read, and work with.

We see that the above steps given tells us how to simplify the given expression.

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Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that \(\mu = 5.11, \sigma = 0.07\)

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.34 = \frac{X - 5.11}{0.07}\)

\(X - 5.11 = -1.34*0.07\)

\(X = 5.02\)

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.34 = \frac{X - 5.11}{0.07}\)

\(X - 5.11 = 1.34*0.07\)

\(X = 5.2\)

The diameter that separates the top 9% is 5.2 millimeters.

Using synthetic division, the solution to the polynomial fraction expression is; 2x² - 10 + 12/(x - 4)

We are given the polynomial fraction as;

(2x³ - 10x + 2)/(x- 4)

This means that we want to divide the polynomial (2x³ - 10x + 2) by (x - 4) using synthetic division.

For the divisor, we have x - 4, and that means x - 4 = 0, x = 4

So, we'll be using 4 for the synthetic division and we have;

-1  |   2     0    -10   2

     ×       0     0    10        

   -------------------------

     2      0    -10   12

Now we will form the expression in the form of fraction again;

2x² - 10 + (12/(x - 4))

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Answer:

C. y - 3 = -2(x - 4)

Step-by-step explanation:

The equation of the line can be written in point-slope form as y - b = m(x - a),

Where,

m = slope

(a, b) = coordinates of a point on the line.

Find slope (m) using the points (4, 3) and (5, 1)

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{5 - 4} = \frac{-2}{1} = -2 \)

m = -2.

Substitute a = 4, b = 3, and m = -2, into y - b = m(x - a), the equation that best fits the graph would be:

✔️y - 3 = -2(x - 4)

Answer:

W= 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A. 1/2

Step-by-step explanation:

In this uniform distribution (from 6 to 12 pounds), the probability of any given range (from 'a' to 'b' pounds) is determined by:

\(P = \frac{b-a}{12 - 6}\)

For a = 8 pounds and b = 11 pounds, the probability is:

\(P=\frac{11-8}{12-6}\\P=\frac{3}{6}=\frac{1}{2}\)

The probability of the range of pounds lost being between 8 pounds and 11 pounds is 1/2.

Answer:

Step-by-step explanation:

Answer:

the answer is get noob..........

Step-by-step explanation:

So bassically, when they say the word "to" in a ratio it means something to something right? So bassically, if it is boys to girls, we clearly know that there are 40 boys and 16 girls. So 40 boys to 16 girls, it would look like this

40:16. But thats not all! We can simplify this ratio. Think of it as a fraction that you are reducing to the minimum amount. The answers would be

40:16

20:8

10:4

5:2

*cannot be simplified any further*

Cheers!

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

Step-by-step explanation:

∠1+∠2=90

50+∠2=90

∠2=90-50

∠2=40°

Answer:

OC. Eat less meat

Step-by-step explanation:

Not really sure how this is math, but meat comes from butchered animals.  Buying less meat means fewer animals are killed.

The calculated vertex of the point C is (b) (-7, 3.5)

From the question, we have the following parameters that can be used in our computation:

ABC with vertices at A(3, 2), B(2, -1), C(-2, 1)

The scale factor is 3.5

The vertex of point C is calculated as

C' = C * Scale factor

Substitute the known values in the above equation, so, we have the following representation

C = (-2, 1) * 3.5

Evaluate

C = (-7, 3.5)

Hence, the vertex of point C is (b) (-7, 3.5)

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Answer: 44 degrees

Step-by-step explanation: 59+77+x=180

x=44

Answer:

18 divided by a N value

Step-by-step explanation:

Answer:

\left(3+i\right)y\left(3-i\right)=10y

Step-by-step explanation:

\left(3+i\right)y\left(3-i\right)

\left(3+i\right)\left(3-i\right)y

=y\cdot \:10

=10y

Answer:

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

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

To find the value of t when the population exceeds 1151, we need to solve the equation:

1151 = 800e^(0.14t)

First, divide both sides of the equation by 800:

1.43875 = e^(0.14t)

Now, take the natural logarithm (ln) of both sides:

ln(1.43875) = ln(e^(0.14t))

Using the property of logarithms, we can move the exponent in front of the logarithm:

ln(1.43875) = 0.14t * ln(e)

Since ln(e) = 1:

ln(1.43875) = 0.14t

Now, divide both sides by 0.14:

t = ln(1.43875) / 0.14

Finally, calculate the value of t:

t ≈ 2.71

So, the population will exceed 1151 at approximately t = 2.71.

Step-by-step explanation:

Answer:

t=2.59839

Step-by-step explanation:

You are trying to solve for t in the equation

1151=800*e^(.14t) --> 1.43875=e^(.14t)

to get rid of the e, you take the natural log of both sides, denoted by "ln" on calculators. The natural log of e to the power of something always equals the something

ln(1.43875)=ln(e^(.14t)) --> .36377=.14t --> 2.59839=t

Answer:

The Area of the sector is: A = 95.4 cm²

Step-by-step explanation:

Given

Central angle Ф = 135°

radius r = 9 cm

To determine

Area of the sector = ?

The Area of the sector can be calculated using the formula

A = Ф/360 × πr²

substitute Ф = 135°, r = 9 and π = 3.14

A = 135/360 × (3.14) (9)²

A = 95.4 cm²

Therefore, the Area of the sector is: A = 95.4 cm²

Answer:

x=4

Step-by-step explanation:

By SAS we know that

\(\triangle ABE \sim \triangle ADC\)

by a ratio of

\(1:2\)

so we have

\(\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4\)

Answer:

a

The 95% confidence interval is \(1003 < \mu <1023\)

b

Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States

Step-by-step explanation:

From the question we are told that

   The population mean is  \(\mu = 1000\)

   The sample size is  \(n = 453\)

   The sample mean is  \(\= x = 1013\)

    The standard deviation is \(s = 108\)

Given that the confidence level is  95% then the level of significance is mathematically represented as

            \(\alpha = 100 - 95\)

=>         \(\alpha = 5\%\)

=>          \(\alpha = 0.05\)

The critical value  for \(\frac{\alpha }{2}\) obtained from the normal distribution table is          

          \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

         \(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)

=>     \(E = 1.96 * \frac{108}{\sqrt{453} }\)

=>      \(E = 9.946\)

Generally the 95% confidence interval is mathematically represented as

           \(\= x - E < \mu < \= x + E\)

=>         \(1013 - 9.946 < \mu < 1013 + 9.946\)

=>         \(1003 < \mu <1023\)

Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States