In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.

Answer:

-433

Step-by-step explanation:

Step 1: Define

-5(4 + 9s) - 7(4q - 6)

s = 7

q = 5

Step 2: Simplify expression

Distribute: -20 - 45s - 28q + 42

Combine like terms: -45s - 28q + 22

Step 3: Substitute

-45(7) - 28(5) + 22

Step 4: Evaluate

-315 - 140 + 22

-445 + 22

-433

95% confident the population mean is between (9.1,9.9).

We are given the following data set:

9.3, 9.7, 9.2, 9.7

What is Standard Deviation?

Standard Deviation \($=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}$\)

where\($x_i$\) are data points, \($\bar{x}$\)is the mean and \($\mathrm{n}$\) is the number of observations.

Mean \($=\frac{\text { Sum of all observations }}{\text { Total number of observation }}$\)

Mean \($=\frac{37.9}{4}=9.475$\)

Sum of squares of differences \($=0.2075$\)

S.D\($=\sqrt{\frac{0.2075}{3}}=0.262$\)

\($95 \%$\) Confidence interval:

\($\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}$\)

Putting the values, we get,

\($t_{\text {critical }}$\) at degree of freedom 3 and\($\alpha_{0.05}=\pm 3.182$\)

\($9.475 \pm 3.182\left(\frac{0.262}{\sqrt{4}}\right)=9.475 \pm 0.416842=(9.058158,9.891842) \approx(9.1,9.9)$\)

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Answer:

x = 2 and x = −3.

Step-by-step explanation

i solved it

Using proportions, it is found that the total amount budgeted for entertainment is of $720.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching the problem on the internet, it is found that the day trip amount is 10% of the budget for entertainment, hence:

0.1x = 72

x = 72/0.1

x = 720.

Hence the total amount budgeted for entertainment is of $720.

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Answer:

2x

Step-by-step explanation:

screenshot attachment

The y-intercept is 1/2.

The answer is C. we can use the y-intercept to know the graph. You can see that option C when x = 0 , y is 1/2.

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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She will pay $25.54 for both shirts.

$19.99 times .60=$11.99

$22.59 times .60=$13.55

$11.99+$13.55=$25.54

I hope it helps if it does mark me as Brainliest pls thank you!

Answer:

Step-by-step explanation:

Sir the graph pls

Answer:it would be d

Step-by-step explanation:

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Answer:

13/10

Step-by-step explanation:

\(m = \frac{ - 23 - 42}{ - 26 - 24 } \\ = \frac{65}{50 } \\ = \frac{13}{10} \)

Answer:

I believe it is y=1x or y=x

Answer:

14

Step-by-step explanation:

The constant of proportionality is the y number when x is 1.  Look on the bottom of the graph.  Find 1, so up to the line and then across left to the y axis.  you will be at 14.  This means that every time the x increases by 1, the increases by 14

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

\(\displaystyle \text{Displacement}=\int_a^bv(t)\, dt\)

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

\(\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt\)

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

\(\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt\)

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

\(\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}\)

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

\(\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}\)

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

\(\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}\)

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

\(\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}\)

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

\(\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt\)

In other words, all of our values are now positive. We will utilize the same strategy:

\(\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt\)

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

\(\displaystyle \text{Distance} =5.6+1.5+2.4=9.5\)

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

Answer:

It means your asking how much one of one type of thing is

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To find the value of 12 – 4 + 2h when h = 3, we need to substitute the value of h into the expression and simplify.

When h = 3, we can substitute this value into the expression:

12 – 4 + 2h = 12 - 4 + 2*3 = 12 - 4 + 6 = 12 - 4 + 6 = 8 + 6 = 14

So the value of 12 – 4 + 2h when h = 3 is 14.

Answer:

12 - 4 + 2h = 14

Step-by-step explanation:

Given expression,

→ 12 - 4 + 2h

Now we have to use,

→ h = 3

Let's simplify the expression,

→ 12 - 4 + 2h

→ 12 - 4 + 2(3)

→ 12 - 4 + 6

→ 8 + 6

→ 14 => {final value}

Hence, required value is 14.

We will investigate how to determine the amount of money Mark started off with at the beginning off the day.

We will assume and declare a variable to Mark's bank balance at the beginning off the day:

Then mark sets out for movies and gets himself snacks to enjoy along his movies. The total receipt charged for his excursion is:

After his day expenses he will be left with a closing balance for the day. The closing balance of the day is expressed as:

We are given that mark was left with $12. This means:

Using the expression above we can write:

We will solve the above expression for initial balance ( P ) as follows:

Therefore, the answer is:

Answer:

It is c.12

Step-by-step explanation:

I just took the test(Plato)

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Given:

Time it takes the person with the riding mower = 4 hours

Time it takes the person with the push mower = 11 hours.

Let's find how long it takes them working together to cut the lawn.

Apply the formula to find the cutting rate:

• Thus, the cutting rate for the person with the riding mower is:

• The cutting rate for the person with the push mower is:

To find the combined rate, we have:

Given:

The coordinates of the figure ABC are,

A(-2,0)

B(-3,-4)

C(-1,-4)

To find the correct statement:

Let us find the coordinates after rotating the figure 90 degree clockwise direction.

As we know,

In a rotation of 90 degrees clockwise, every point (x,y) will be changed to (y, -x).

So, we get,

D(0,2)

E(-4, 3)

F(-4,1)

It perfectly matches with given graph.

So, Betty's statement is correct.

If we translate the figure two units up and two units right, the given point B (-3,-4) will be changed to (-1,-2) and its reflected point over the y-axis will be (1,-2).

But, this does not match with E(-4,3).

So, Veronica's statement is wrong.

Hence, Betty's statement alone is the correct one.

\(\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc(\theta )-sin(\theta )~~ = ~~cot(\theta )cos(\theta ) \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )-sin(\theta )\implies \cfrac{1}{sin(\theta )}-sin(\theta )\implies \cfrac{1~~ - ~~sin^2(\theta )}{sin(\theta )} \\\\\\ \cfrac{cos^2(\theta )}{sin(\theta )}\implies \cfrac{cos(\theta )}{sin(\theta )}\cdot cos(\theta )\implies cot(\theta )cos(\theta )\)

Mean)

In general, the formula is

Thus, in our case,

Thus, the mean is 5.1

Variance)

In general, the formula is

Where x_i is each of the elements in the data set, X is the mean, and N is the number of elements in the data set.

Therefore, in our case,

The variance is 0.254

Standard deviation)

If S^2 is the variance; then,

Hence, in our case,

The standard deviation is 0.504

Answer:

18

Step-by-step explanation:

g(3)+f(4)

=3²+1+2×4

=9+1+8

=18

Answer:

Step-by-step explanation:

B

These two triangles are similar then the ratio of their corresponding sides will remain constant. Then the value of h is 65.33 units.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A man places a mirror on the ground and sees the reflection on the top of a flagpole as shown in the figure below.

The two triangles in the figure are similar.

Note that the two triangles are proportional to one another. ​a = 3, b = 7, c = 28

If both triangles are similar then the ratio of their corresponding sides will remain constant.

Then we have

\(\rm \dfrac{h}{b} = \dfrac{c}{a}\\\\h \ = b \times \dfrac{c}{a}\\\\h\ = 7 \times \dfrac{28}{3}\\\\h \ = 65.33\)

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Answer:

0,4

Step-by-step explanation:

1. 2/5=0,4; 6/15=0,4; 8/20=0,4. It means, the constant of proportionality is 0,4.

2. if the constant value is 0,4, then x:1=0.4 ⇒ x=0,4

If the same force acts upon another object whose mass is 5 kg, the object's acceleration will be 1.667 m/s^2.

We were told that the constant force acts upon an object, and  the acceleration of the object varies inversely with its mass, which can be interpreted as :

A = k/M

where M is the mass of the object.

A = acceleration

the k= proportionality constant

then we were told that mass is 3 kg, the acceleration of the object is 25 m/s^2

then substitute into the equation as:

25 =k*3

k= 25/3

then we were told that when mass is 5 kg, then acceleration will be ?

A= (25/3 )/5 = 1.667m/s^2.

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Option (B): Return on investment is a measure of the efficiency of an investment.

What is meant by return on investment?

A ratio between net income and investment is known as return on investment or return on costs. A high ROI indicates that the returns on the investment outweigh the costs. ROI is used as a performance metric to assess an investment's efficiency or to compare the effectiveness of multiple distinct investments.

Investment efficiency is an essential topic because firms with better investment efficiency are related to reduced agency problems which suggests that aligning the interest of management and shareholders of the firms minimises the risk of deviating from the expected level of investment.

Therefore the return on investment gives the measure of the efficiency of an investment.

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The value of the investment after 5 years is $6587.5. b) $8400

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

\(I = \dfrac{P \times R \times T}{100}\)

a) The simple interest is given by the formula I = Prt

Here P is the principal amount, r is the annual rate, and t is the number of years.

The interest is

 I = $15 500 x 8.5 / 100 x 5

= $ 6587.5

The simple interest amounts to $6587.5.

The amount collected at the end of 5 years is the principal plus interest:

The total collected is $8400.

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Plotting the lines for each we have the following

A line passing through (2, 5) and (8, 3) (red line)

A line passing through (2, 5) and (4, 5) (orange line)

A line passing through (5, 2) and (3, 8) (green line)

A line passing through (5, 2) and (5, 4) (purple line)

By inspection of the scatterplot, the line that best fits the data is the red line or the line that passes through (2,5) and (8,3).

Answer: 80

Step-by-step explanation:

⇒  −(8 − 12) + 60 + (−4)²

⇒ -(-4) + 60 + 16

⇒ 4 + 60 + 16

⇒ 80