The rate at which she bats is an illustration of ratio and proportions
She's expected to bat 574 times in 162 games
In 131 games, she bat 464 times
Represent this as a ratio
[tex]\mathbf{Ratio = 131 : 464}[/tex]
Let the number of times she bat in 162 games be represented with x.
So, the ratio is represented as:
[tex]\mathbf{Ratio = 162 : x}[/tex]
Equate both ratios
[tex]\mathbf{162 : x = 131 : 464}[/tex]
Express as fractions
[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]
Multiply both sides by 162
[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]
Multiply
[tex]\mathbf{x= \frac{75168}{131 } }[/tex]
Divide
[tex]\mathbf{x= 574}[/tex]
Hence, she's expected to bat 574 times in 162 games
Read more about ratios and proportions at:
https://brainly.com/question/7810782
Please help i will give brainliest :)
how would you answer 8 (4 + 2) im confused please help
Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?
243/15
11
-15/243
33
From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.
The average rate of change of a function p(x) over an interval [a,b] is given by:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].
The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].
Hence:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
[tex]A = \frac{204 - 39}{20 - 5}[/tex]
[tex]A = 11[/tex]
The average daily change in the share price from d = 5 to d = 20 is of 11.
A similar problem is given at https://brainly.com/question/20732437
Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the coordinate vector of p relative to B.
To calculate the relative vector of B we have to:
[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]
The coordenates of:
[tex]p(t)= 12t^3-8t^2-12t+7[/tex], with respect to B satisfy:
[tex]C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3[/tex]
Equating coefficients of like powers of t produces the system of equation:
[tex]\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.[/tex]
After solving this system, we have to:
[tex]C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}[/tex]
And the result is:
[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]
Learn more: brainly.com/question/16850761
What is 2(-2) raised to the power of 3 - 6x?
Answer: -2 * (3x + 8)
Would appreciate brainly <3
what is halfway between 140,000 and 150,000
Answer:
145000
Step-by-step explanation:
(150000-140000)÷2=10000÷2
=5000
140000+5000=145000
Answer:
145,000
Step-by-step explanation:
To find halfway between two numbers is the same as finding the mean of two numbers.
140,000+150,000=290,000
290,000/2
=145,000
Hope this helps :)
Ms Castillo took 40 minutes to drive from Town A to Town B at an average speed of 60 miles per hour. (a) Find the distance between A and B. (b) If she increased her speed by 12 mph, how long would she take to travel the same distance?
Answer:
40 miles, 2000seconds or 33minutes and 20 seconds
Step-by-step explanation:
a. multiple time by miles/hour -> 40*60/60=40 so 40 miles
b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds
aidan runs every morning before he goes to work.on Sunday,he ran 0.54km, on Monday he ran 1.25km,on Tuesday he ran 1.50km, on Wednesday he ran 1.75km and on Thursday he ran 2.30km.His goal was to run10km in these five days.dis aidan meet his goal?how long did he run?estimate and find the solution.
Answer:
no
Step-by-step explanation:
0.54 rounded to the nearest one is 1
1.25 is 1
1.50 is 1
1.75 is 2
2.30 is 2
all that added would give you 7 which is less than 10
the exact number is also 7.34
PLEASE HELP ME WITH THIS QUESTION!!
A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?
Answer:
7
Step-by-step explanation:
On a military clock the difference between a number and it's opposite is always 12
19 - x = 12
19 - 12 = x
7 = x
The number directly across from 19 on a military clock is 17.
How to determine the number directly across from 19 on a militaryTo find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.
12 - 19 = -7
Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.
-7 + 24 = 17
Therefore, the number directly across from 19 on a military clock is 17.
Learn more about word problems at https://brainly.com/question/21405634
#SPJ2
At Keller's Bike Rentals, it costs $36 to rent a bike for 7 hours.
How many hours of bike use does a customer get per dollar
Answer:
I'm sure it's 43 rent a bike cause I'm fat
help me pls thankyouuuuuuu
hope it helps. ...........
For reviewing purposes.
Answer:
88
Step-by-step explanation:
9 × 8 + [tex]2^{4}[/tex]
=> PEMDAS
so first exponent 2^{4} = 16
next multiplication
9*8 = 72
=> 72 + 16
=> 88
Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4
Answer:
B
Step-by-step explanation:
11/4=2.75
3/4=0.75
5/4=1.25
23/4=5.75
Answer:
3/4
Step-by-step explanation:
Proper fractions are less than 1
3/4 is proper fraction.(Numerator less than denominator)
[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]
Define suitable populations from which the following samples are selected: (a) Persons in 200 homes in the city of Richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) A coin is tossed 100 times and 34 tails are recorded. (c) Two hundred pairs of a new type of tennis shoe were tested on the professional tour and, on average, lasted 4 months. (d) On five different occasions it took a lawyer 21, 26, 24, 22, and 21 minutes to drive from her suburban home to her midtown office.
Using sampling concepts, it is found that the suitable populations are:
a) All Richmond residents.
b) Results of all coin tosses.
c) All pairs of the new type of tennis shoe.
d) The average time on all days is takes to drive from her suburban home to her midtown office.
An example of sampling is asking a sample of 500 Buffalo Bills fans if they think their offense should run the ball more.
The population is all Buffalo Bills fans.Hence, following the example, first identifying the sample and then expanding it for the population the items are answered.
Item a:
Sample of 200 Richmond homes, hence, the population is all Richmond residents.
Item b:
Sample from the results of 100 coin tosses, hence the population is the results of all coin tosses.
Item c:
Sample from 200 pairs of the new tennis shoe, hence the population is all the pairs of this new tennis shoe.
Item d:
Sample for the time it took to drive from her suburban home to her midtown office of 5 days, hence, the population is the time for all days.
A similar problem is given at https://brainly.com/question/25122507
Please help!
(at the start it says "Albert's mom bought" but it was accidentally cropped out...sorry)
Answer:
Option D
Step-by-step explanation:
We convert 5 2/3 into an improper one:
17/3
There are 5 people in his family
17/3 * 1/5 = 17/15
So option D
Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?
? Steve has 7 biscuits in a tin. There are 3 digestive and 4 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Using the hypergeometric distribution, it is found that there is a 0.5714 = 57.14% probability that he chooses two different types of biscuits.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the values of the parameters are given as follows:
N = 7, k = 3, n = 2.
The probability that he chooses two different types of biscuits is P(X = 1), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,7,2,3) = \frac{C_{3,1}C_{4,1}}{C_{7,2}} = 0.5714[/tex]
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
#SPJ1
what does x equal in 150 = -6(x)^2 + 100x -180
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x
=
25
+
√
130
3
,
25
−
√
130
3
Decimal Form:
x
=
12.13391808
…
,
4.53274858
…
Step-by-step explanation:
Answer:
x=\frac{25-\sqrt{130}}{3}
Step-by-step explanation:
x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}
x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}
x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}
x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}
help? plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
you're right, d measures 180 degrees
Step-by-step explanation:
the protractor is measuring a straight line and straight lines measure 180 degrees
hope this helps
All of the following are equivalent, except _____.
3x
2x 2
x(2 + 1)
2x + x
How much profit will a store make on the sale of a flat screen TV that is marked up by 30% and then sold at a 20% discount if the original price of the TV is $1500?
The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.
The mark up percentage is given by:
Mark up percentage = (selling price - cost price)/cost price
Since the original price is $1500, hence:
30% = (selling price - 1500)/1500
0.3 = (selling price - 1500)/1500
(selling price - 1500) = 450
Selling price = $1950
It was again sold at a discount of 20%:
Final selling price= 1950 - 20% of 1950 = 1560
Profit = 1560 - 1500 = $60
Hence $60 profit was made by the store for the sale of a flat screen TV.
Find out more at: https://brainly.com/question/15699405
In the equation y=14x what is the constant of proportionality.
15 points for anwser
Determine whether each expression is equivalent to x^(7/4).
Expression Yes No
√(7&x^4 )
∜(x^7 )
(∜x)^7
√(x^(7/4) )
∜(x^5 )∙∜(x^2 )
√(5&x^4 )∙√(2&x^4 )
(∜x)^7/(√x)^0
Help.
Answer:
Step-by-step explanation:
Find the missing side.
09
9.5
10
C
7 cm
10.6
8 cm
HELP PLEASE
Answer:a
Step-by-step explanation:
i know
The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number?
Answer:
the answer is 3
Step-by-step explanation:
5 x - 3 + x + 9 =24
6X + 6 = 24
6X =18
×=3
plz help me plz plz plz
plz
Answer: 549
Step-by-step explanation:
PLEASSEE HELP:Dits for khan
What is the constant of proportionality in the equation
y
=
1
2
x
y=
2
1
xy, equals, start fraction, 1, divided by, 2, end fraction, x?
The constant of proportionality in the equation y=1/2x
is 1/2
The direct proportionality between x and y is established by :
y α x
α = proportionality symbol
y = kx - - - (1)
Where;
y and x are the variables
k = proportionality constant
Comparing (1) with the equation given : y=1/2x y=kx
The value of k aligns with 1/2 in the given equation.
Therefore, the constant of proportionality, k in the equation is 1/2
Answer:
yo yo yo! here to help :) answer is 1/2
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
Which visual fraction model correctly shows the shaded region for the expression 1/2 divided by 6?
Answer: C
Step-by-step explanation: half of 6 is 3 so its C
(ASAP) i need help plsssssszzz
Answer:
the first one is right....