Answer:
[tex]f(7) = 49[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]
Required
Determine f(7)
To do this, we make use of
[tex]f(x) = x^2[/tex]
Because [tex]7 > 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
This becomes:
[tex]f(7) = 7^2\\[/tex]
[tex]f(7) = 49[/tex]
What is 0.25% of 30?
Answer:
0.075
Step-by-step explanation:
A pair of sneakers costs $60. Dahlia bought them on sale for $45. What is the percent decrease in the price of the sneakers?
Answer:
the answer is %25
Step-by-step explanation:
READ PIC! PLEASE HELP
Answer:
B. 0< b < 1
Step-by-step explanation:
b is a fraction that less than 1, so 0 < b < 1
A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.
Answer:
It is red
Step-by-step explanation:
Find the quotient of -4 1/6 and -3 1/3
A) 13 8/9
B) -5/6
C) -7 1/2
D) 1 1/4
Answer:
B -5/6
Step-by-step explanation:
Fat Kat's offers a special on large two topping pizzas. In how many different ways can you order a two topping pizza if you can choose from 18 toppings? NO LINKS!!!
=======================================================
Explanation:
There are 18 ways to pick the first topping and 18-1 = 17 ways to pick the next topping. Picking the same topping again doesn't make much sense (though I suppose it could mean that you just want more of that topping than usual?), so that's why we have the 18 drop to 17 when making that second selection.
If the order of toppings mattered, then we'd have 18*17 = 306 permutations. However, the order of toppings doesn't matter. All that matters is the group rather than the individual toppings. When counting out the 306 permutations, we've overcounted by a factor of 2. In other words, we've double counted.
So we must divide by 2 to fix this double count. That leads to 306/2 = 153 combinations
------------------------
The alternative method involves using the nCr combination formula
Use n = 18 and r = 2 in this formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
the exclamation marks indicate factorial.
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 77 and a standard deviation of
10. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals.
(a) Find the 28th percentile of the scores.
(b) Find the 65th percentile of the scores.
(c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score
needed to get an A?
(d) Between what two values are the middle 64% of the scores? (Enter the smaller number in the first box.)
Find the inverse function of the function f(x) = 5x/7
f-(x) = -7x/5
f-'(x) = – 5x/7
f-l(x) = 5x/7
f-'(x) = 7x/5
What is the formula for surface area? Giving brainliest to the correct answer
Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area
Given P(A) = 0.3, P(B) 0.63 and P(BA) = 0.79, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
Answer:
P(A and B) = 0.14.
Step-by-step explanation:
Venn probabilities:
Suppose we have two events, A and B. The probability P(A and B) is given by:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
In which [tex]P(A \cup B)[/tex] is P(A or B).
In this question:
P(A) = 0.3, P(B) = 0.63, P(A or B) = 0.79. So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.3 + 0.63 - 0.79 = 0.93 - 0.79 = 0.14[/tex]
So
P(A and B) = 0.14.
The step function f(x) is graphed
What is the value of f(-1)?
0-3
O-1
ОО
0 1
The value of f(-1) in the graph is 1.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The graph leads to the following finding:
The values of f(-1) for x = -1 are -1 and -3.
The function does, however, have a closed circle at f(-1) = 1.
The function has an open circle at f(-1) = -3.
A closed circle represents inclusive principles.
Hence, the graph's value for f(-1) is 1.
Learn more about functions here:
brainly.com/question/13136492
#SPJ7
los niños están jugando bingo con las tablas de multiplicar, 9 números deben ser las respuestas de las tablas de multiplicar del 1 al 9 y para ir marcando una persona sacará los PO de las tablas .. responde : a) que números eligirias tú para que tengas más posibilidades de ganar ? b) gloria eligió los siguientes números 54,6,8,9,12,16,18,24,36.. Jorge eligió los números 1,2,3,5,7,25,49,64,81 quien tiene más posibilidades de ganar el bingo ?? explica el por qué ??
Answer: el fredo en y multa verdad thress
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The sampling distribution describes the a. long-run behavior of a statistic. b. short-term behavior of the population. c. sample size. d. population proportion.
Answer:
Option A
Step-by-step explanation:
A probability distribution of a statistic that represents a large sample derived from a certain specific population size to determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a sampling distribution
Hence, option A is correct
Please help and thank you
( ignore the answer I clicked)
Answer:
Step-by-step explanation:
Answer:
your answer is correct. a trapezoid can be defined by it's set of parallel sides
Step-by-step explanation:
If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid;
if you were to too a dice one time what is the odds of rolling a number less than three?
Answer:
1/3 or 33.33%
Step-by-step explanation:
A regular dice has 6 sides each with a single number from 1 to 6. Therefore, there are a total of 6 possible outcomes. Out of all of these only two outcomes are actually less than three and those are the numbers 1 and 2. Meaning, that if the dice were rolled only a single time then the probability of rolling a number less than 3 would be 2/6 or 1/3 (simplified). As a percentage, this probability would be 33.33%
Seven hundred twenty -one thousandths as a decimal
Answer:
0.721
Step-by-step explanation:
the last digit (the number '1') must be in the thousandths place; then work backward so the '2' would be in the hundredths and the '7' would be in the 'tenths'
Rewrite 5ab showing the multiplication signs
Answer:
[tex]5ab = 5 \times a \times b[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
5a*b
ellus
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
Answer:
SA = 484 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)
✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 7 cm
H = 12 cm
S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²
✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 2 cm
H = 2 cm
S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²
✔️Base area of the smaller rectangular prism = L*W
L = 7 cm
W = 2 cm
Area = 7*2 = 14 cm²
✅Surface area of the composite figure = 434 + (64 - 14)
= 434 + 50
= 484 cm²
A salesman earns $250 per week PLUS a 10% commission on all sales over $5000. In one week, his sales totaled $14,000. What were his earnings that week?
A. $1,050
B. $1,150
C. $400
D. $2,150
Answer:
B. 1150
Step-by-step explanation:
14000-5000=9000 sales over 5000
9000 x .10=900 commission
250 (salary)+ 900 (commission)=1150 total
how do I find the percent of 60% of 40
Answer: turn percentages into decimals then multiply that by the initial number
Step-by-step explanation:
60%
0.60
0.60*40= 24
A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 150 inches wide, how long is the mural?
A. 120 inches
B. 600 inches
C. 750 inches
D. 187.5 inches
please help (i mark brainlist)
another name for the positive integrets is the ___ Numbers.
Answer:
natural
Step-by-step explanation:
Successfulness of the Competition policy in South Africa- support and graphs
Answer:
Answer to the following question is a follows;
Step-by-step explanation:
The following are a few examples of how South Africa's competitiveness policy has been successful:
⇒ Consumers or buyers were given a variety of product options as well as competitive prices.
⇒ In 1984, practises like horizontal cooperation and resale price maintenance and control were ruled illegal.
Write the percent as a fraction and as a decimal.
2%
_
4
What is the fraction equivalent?
area
help hellllppppp
Answer:
Area = 14¹/16 yd² or 14.0625 yd²
Step-by-step explanation:
2. The figure given is a square having equal sides of 3¾ yd each.
Formula for area of the square = a²
Where,
a = 3¾ yd
Plug in the value into the equation:
Area = (3¾)²
Change to improper fraction
Area = (15/4)²
Area = 225/16
Area = 14¹/16 yd² or 14.0625 yd²
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 56 meters of fencing available, determine the dimensions that would create the garden of maximum area. You may enter an exact answer or round your answer to the nearest hundredth.
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Imagine a simple process in which 5 ticket booths are selling tickets for an opera. If customers are coming at a rate of 15 / hour, and the utilization of the 5 booths is 50%, then how long does a customer spend at a booth (each customer goes to only one booth)?
Answer: The customer spends 10 minutes at a booth.
Step-by-step explanation:
Let n= number of booths, [tex]\rho[/tex] = utilization, [tex]\lambda[/tex] = arrival rate, [tex]\mu=[/tex]Service rate
We know that
[tex]\rho=\dfrac{\lambda}{\mu\times n}[/tex]
As per given,
[tex]0.5=\dfrac{15}{\mu\times5}\\\\\Rightarrow\ \mu=\dfrac{15}{5\times0.5}\\\\\Rightarrow\ \mu=6[/tex]
Service rate = 6 customers per hour.
Time taken by each customer = [tex]\frac{1}{\mu}[/tex]
[tex]=\frac{1}{6} \ hours \ or\ \dfrac{60}{6}\ minutes\\\\=10 \ minutes[/tex]
Hence, the customer spends 10 minutes at a booth.
USE TABLE AOR TABLE RFOR
SERVING UP A LARGE FEAST?
96"
42"
A А
B
R=45"
SHOW AN EXPLANATION ON WHICH TABLE YOU CHOOSE!!!
Answer:
use table B
Step-by-step explanation:
the perimeter of table A =
2×(96+42) = 2× 138 = 276 inches
the perimeter of table B =
2×3.14×45 = 282.6 inches
table B > table A
Please answer the ones you know or all of them
Answer:
solve each equation :
12) B) {0}
13)(B) {-3}
14) (C) {4}