Answer:
40
Step-by-step explanation:
if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.
The sidewalk is 5 feet wide and the garden measures 20 feet across. Which measurement is closest to the area of the outer edge of the sidewalk?
A.
200 ft2
B.
400 ft2
C.
700 ft2
D.
1,000 ft2
Answer:
A (obviously)
Step-by-step explanation:
Info Given
Sidewalk is 5 ft. wideGarden is 20 ft. acrossFind the surface area of the composite figure.
6 cm
5 cm
4 cm
6 cm
15 cm
3 cm
The surface area of the given composite figure will be 384 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.
The surface area of the triangular shape will be calculated as:-
SA = 2( Area of triangle ) + Area of rectangular surfaces
SA = 2 ( (1/2) B x H ) + (5 x 6 ) + ( 6 x 3 )
SA = ( 3 x 4 ) + ( 30 ) + ( 18 )
SA = 12 + 30 + 18
SA = 60 square cm
The surface area of the rectangular cuboid will be calculated as:-
SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )
SA = 24 + 120 + 180
SA = 324 square cm
Total surface area will be = 324 + 60 = 384 square cm.
Therefore the surface area of the given composite figure will be 384 square cm.
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Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.
Answer:
84
Step-by-step explanation:
f(1)=4^1 - 1 = 3
f(4) = 4^4 - 1 = 255
rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
(255 - 3) / (4 - 1) = 252 / 3 = 84
1) Simplify the product using the distributive property.
(x-2)(x+4)
Please help me answer this question
An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above
Answer:
the answer is b) (10.67,11.93)
Step-by-step explanation:
hope this helps
In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected
Answer:
The null hypothesis will be rejected
Step-by-step explanation:
The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61
The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61
Proportion of population = 0.61
Total events = 360
Sample size = 554
Sample proportion = 360/554 = 0.649
As per test statistics –
Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}
= 0.039/0.021
= 1.857
P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336
So alpha value is 0.064.
Thus, we will reject the null hypothesis
The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.
Answer: 69
Step-by-step explanation: EZ
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]
Calculating the sampling distribution of the sample mean:
[tex]\to \mu=\mu_\bar{x}=650[/tex]
Calculating the sampling distribution of the standard deviation:
[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]
The product of two positive integer numbers is 40 and the sum of the same two numbers is 13.
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Answer:
5 and 8
Step-by-step explanation:
Factor pairs that make 40 are ...
40 = 1×40 = 2×20 = 4×10 = 5×8
The pair that has a sum of 13 is 5 and 8.
The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.
a. 1/2
b.3/7
c.2/7
d.2/25
Take a look at the photo and please right an explanation for your answer
Need some help with this soon!
Answer:
f(x)=|x+6|
Step-by-step explanation:
because it is moving the function without changing the slope
A right-angled triangle, with two sides adjacent to the right angle labeled 7 and 11 respectively, and the hypotenuse is labeled x.
Find the exact value of $x$ .
Answer:
170
c=a^2+b^2=7^2+11^2≈13.0384 or 170
Step-by-step explanation:
mrk me brainliest please
Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14
Answer:
17
Step-by-step explanation:
I will give Brainliest
Please help me find the answer
Answer:
in the first traingle
sinC = 36/39 = 12/13
CosC= 15/39 = 5/13
TanA= 15/36=5/12
this is the values i didnt understand the question so i just find the values
in the second Triangle
SinA=2√5/5
CosA=√5/5
TanB= √5/2√5=1/2
cos 30 = √3/2
sin45=√2/2
tan60= √3
hopefully its helpful iam sorry i didnt understand what they mean in the question my engilish is bad
Sin of c. Sin'-1(36/39)=90
Cos of c cos'-1(15/39)=67.38
Tan of a tan'-1(15/36)=22.62
Sin of a sin'-1(2squarroot5/5)=63.43
Cos od a cos'-1(squareroot5/5)=63.43
Tan of b tan'-1(2squareroot5/squareroot5)=63.43
Cos30 is pie/6 or squareroot of 3 /2
Sin of 45 is pie/4 or squareroot2/2
Tan60 is pie/3 or squareroot3
HELPPPPPPP SUMMMMBODYYY
B or A. I'm not sure, because i learned this 5 years ago, but it is a or b. the only reason i dont know which one is because i forgot what a filled in dot, versus a circle means. on point 3 on your number line, there's a circle, and there's a dot on answer A and answer B respectively. if memory serves, it should be B
If f(x)=1−x^2 +x^3 , then f(−1)=
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -15/7 ÷ 2/3=?
Is it A?
Is it B?
Is it C?
Or is it D?
Answer:
[tex]C.[/tex] 5/7 × 2/3
Step-by-step explanation:
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
Answer:
1/3
Step-by-step explanation:
there are 4 numbers total that are less than 3 and there are 12 sides total
so 4/12 would be the total and 1/3 would be simplified
In the diagram below, AB, BC and CD are three sides of a regular polygon.
The polygon has 15 sides.
The length of each side is 8 cm.
The exterior angle of the polygon is x.
BRC is a right-angled triangle.
Calculate the length of BR.
Thanks in advance
Answer:
BR is about 7.3084 cm
Step-by-step explanation:
the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24
since I want BR, I will use cos (adj/hyp)
cos24=s/8
.9135=s/8
7.3084=s
Rewrite the quadratic function below in Standard Form.
y = (x - 4) (x + 3)
the standard form of a quadratic formula is
y = ax^2 + bx + c
in this case you will solve using foil method
(× - 4)(x + 3)
(x × x) +( x × 3 )(- 4 × x) ( -4)× 3))
x^2 + 3x - 4x -12
x^2 - x - 12
therefore
y = x^2- x - 12
The City of Irvine upgraded a bicycle lane in a section of road to have a physical barrier between the cyclists as opposed to just a painted white line on the road. They now want to do a study to see if the bicycle lane upgrades have encouraged more people to utilize the bike lane. Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25. Test the hypothesis at the 0.05 significance level.
Answer:
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Step-by-step explanation:
Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.
At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So
[tex]H_0: \mu = 350[/tex]
At the alternate hypothesis, we test if this mean increased, that is:
[tex]H_1: \mu > 350[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
350 is tested at the null hypothesis:
This means that [tex]\mu = 350[/tex]
After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.
This means that [tex]n = 35, X = 405, s = 25[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]
[tex]t = 13.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.
Using a t-distribution calculator, this probability is of 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
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Answer:
4) ΔEFG ~ ΔECD
6) Not Similar
Step-by-step explanation:
4) Shortest to longest sides are ...
EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)
EC : CD : DE = 7 : 8 : 10
The triangles have the same side length ratios, so are similar.
ΔEFT ~ ΔECD
__
6) Shortest to longest, the given sides have ratios ...
UT : TV = 71 : 84 (reduced)
GT : TH = 60 : 72 = 5 : 6 (reduced)
The side ratios are different, so the triangles are NOT SIMILAR.
Answer:
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
please helpp me with this assignment
Please help me with this
Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?
Answer:
Aisha would pay 21 dollars for 8 slices.
Equation 2x(x=number of slices)+5
Step-by-step explanation:
Here are some clues about my age. • Both my father’s age and mine are 2-digit numbers. • If you reverse the order of the digits of my father’s age, you get my age. • My father is 27 years older than I am. How old am I? Show your work and justify your thinking.
For the given condition the age of the son will be 69 years.
What is the equation?A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.
Suppose the two-digit number is x,
The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,
(10x+y) -(10y+x)=27
9x-9y=27
x-y=27/9
x-y=3
The value of x and y will be 4 and 1.
At x=9 and y=6, the age of the son is obtained as,
=10×6+9
=69 years
Thus, the age of the son will be 69 years.
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The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000
ames has 268 cookies to put into bags. Each bag holds 8 cookies.
If James uses as many of the cookies as possible, how many bags can he make, and how many cookies are left over?
Enter your answers in the boxes.
Step-by-step explanation:
Total amount of cookies= 268
One bag can hold 8 cookies
268 / 8 = 33 (remainder 4)
He can make as many as 33 bags, and there are 4 cookies left over.
Consider point P(4, 2) and line l with equation −3x+4y=6 .
The equation of the line that passes through P and is parallel to l
Step-by-step explanation:
all working is above
hope that helps