A baseball field is being designed. There is 60 ft between the pitcher and 3rd
baseman and 90 ft between the catcher and 3rd baseman. The half-way
distance from the catcher to the 3rd baseman is 45 ft. How far is the distance
between the pitcher and the catcher?
441 = 21
3600 = 60
5400 = 73.5
7650 = 87.5
1800 = 42.4​

Answer:

b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.

Step-by-step explanation:

Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.

Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that [tex]A(0) = 109[/tex]

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that [tex]r = 0.03[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 109(1-0.03)^t[/tex]

[tex]A(t) = 109(0.97)^t[/tex]

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

[tex]A(4) = 109(0.97)^4 = 96.49[/tex]

Rounding to the nearest whole number, 96 people.

Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

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Answer:

C! I remember this hehehehe xD

Answer: 19/28

Step-by-step explanation:

9/28 participate, so that means that ? dont participate.

28/28 = 1 whole

28 - 9 = 19

so 19/28 students do not participate in after school activities.

Answer:

The surface area is 12 square yards.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

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☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]

☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]

~Plug the known values & then multiply!

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]

☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]

♡ Hope I helped! ツ

Have a wonderful day / night !

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Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]

Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

If angle BOC in circle is 68° then the measure of angle BAC is 34°.

Given that angle BOC in the circle is 68°.

We have to find the angle BAC.

We have that m∠BOC=arc BC ------by central angle.

we have m∠BOC=68°.

therefore arc BC=68°.

We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1

In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.

We have that arc BC=68°

substitute arc BC in equation 1 to get the measurement of ∠BAC.

m∠BAC=[tex]68/2[/tex]

=34°

Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.

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Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Answer:

Step-by-step explanation:

http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf

You can find it in this site

Answer:

F

Step-by-step explanation:

Andrew, Blake, Jamal, Ernesto

Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

Answer:

n= 2x-5

Step-by-step explanation:

The Expression for the statement is x= 2y -5.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

A number is five less than twice another number.

let the number be x and the another be y.

So, the mathematical Expression is

five less than twice another number.

= 2y -5

So, the expression is

x= 2y -5.

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Answer:

p =favorable outcome/possible outcome

p(not 3)=3/4

Answer: 4x + 3y +20 is your answer hope this helped

plz make brainly

Step-by-step explanation:

i hope it helps XD......

Answer:

From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.

9514 1404 393

Answer:

  h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

  [tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]

Answer:

she can paint 17  statues (with  some paint left,but not enough for another statue)

Step-by-step explanation:

7/8 divided into  1/20

is the same as   7/8 multiplied by 20/1

7/8 x 20/1  = 140/8  = 17.5

Answer:

482.5 ft^2.

Step-by-step explanation:

The figure can be regarded as a rectangle with a triangle cut out of one corner.

The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.

The required area = area of rectangle - area of triangle

= 25*20 - 1/2 * 5 * 7

= 500 - 17.5

= 482.5 ft^2

9514 1404 393

Answer:

  482.5 square inches

Step-by-step explanation:

The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.

  A = LW - 1/2bh

  = (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²

The area of the figure is 482.5 square inches.

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Answer:

1.016 cm

Step-by-step explanation:

1 inch = 2.54 cm

0.4 inch = 2.54 * 0.4 cm = 1.016 cm

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

[tex]H_0: \mu = 59.5[/tex]

At the alternate hypothesis, we test that it is different, that is:

[tex]H_a: \mu \neq 59.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that [tex]\mu = 59.5[/tex]

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]

[tex]z = -2.5[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Answer:

a = –2, b = 4, c = – 3

Step-by-step explanation:

We are given the following quadratic equation in the question:

-2x^2 + 4x - 3 = 0−2x

2

+4x−3=0

General form of quadratic equation:

ax^2 + bx + c = 0ax

2

+bx+c=0

Comparing the given equation to general quadratic equation, we get,

a = -2, b = 4, c = -3a=−2,b=4,c=−3

Thus, the correct answer is

Option D) a = –2, b = 4, c = – 3

The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.

The standard equation of a quadratic equation is ax²+bx+c = 0,

Comparing the given equation with the standard equation,

We get, a = -2, b = 4, c = -3

Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

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Answer:B

Step-by-step explanation:

just took the test