Answer:
a=18.7 or 19 rounded up
Step-by-step explanation:
Use Pythagoras Thereom
a^2=8^2+17^2
a^2=64+289
a^2=353
√353
a=18
Answer:
The length of missing leg is 15 cm.
Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71,
$3.62, $3.93, and $3.83, respectively, but today each gas station raised it:
price by $0.08. What is today's mean price of a gallon of gas at the five
stations?
O A. $3.81
O B. $3.65
O C. $3.89
O D. $3.73
Answer:
c
Step-by-step explanation:
The mean price of a gallon of gas at the five stations is $3.81. Therefore, option A is the correct answer.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71, $3.62, $3.93, and $3.83, respectively.
Today each gas station raised its price by $0.08
Now, mean =(3.56+3.71+3.62+3.93+3.83+5×0.08)/5
= (18.65+0.4)/5
= 19.05/5
= $3.81
Therefore, option A is the correct answer.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
#SPJ2
The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
of the series?
16
25
8 + 4 + 10 +...+ 210
5
Given:
First 10 term of a geometric series are:
[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]
To find:
The expression that represents the sum of the series.
Solution:
The first term of the given geometric series is:
[tex]a_1=\dfrac{16}{25}[/tex]
The common ratio of the given geometric series is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]
[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]
[tex]r=\dfrac{5}{2}[/tex]
The sum of first n terms of a geometric sequence is:
[tex]S_n=\dfrac{a_1(1-r^n}{1-r}[/tex]
Where r is the common ratio.
Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get
[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]
Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].
Answer:
the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)
Step-by-step explanation:
Find Mn to the nearest tenth
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c
The questions on a multiple choice test have four answer choices.
Which of the following models could you use to simulate the outcome of guessing the correct answers to a 50-question test?
(HINT: Remember to choose a model with the same number of possible outcomes as each test question.)
Group of answer choices
A. flipping a coin 50 times
B. spinning a spinner with 4 equal sections 50 times
C. rolling a 6-sided die 50 times
D. spinning a spinner with 50 equal sections four times
Answer: spinning a spinner with 4 equal sections 50 times
Step-by-step explanation:
The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.
Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.
Therefore, the correct option is B.
A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.
Zoom in if you cannot see!
Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)
Answer:
Option B, would be the correct answer: 75 labels per minute
Step-by-step explanation:
The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{150}{2}[/tex]
Slope = 75
Hope this helps!
Find X. Please show steps, thank you.
Answer:
C=10
Step-by-step explanation:
Express the product of (1/2x + 1/5) and (5/3x+1/3) as a trinomial in simplest form.
Answer:
5/6x^2 + 1/2x + 1/15
Step-by-step explanation:
(1/2x + 1/5)(5/3x + 1/3)
5/6x^2 + 1/6x + 1/3x + 1/15
5/6x^2 + 1/6x + 2/6x + 1/15
5/6x^2 + 3/6x + 1/15
5/6x^2 + 1/2x + 1/15
There are 10 counters in a bag: 3 are red, 2 are blue and 5 are green. The contents of the bag are shaken before Maxine randomly chooses one counter from the bag. What is the probability that she doesn't pick a red counter
Answer:
Step-by-step explanation: total number of counters = 10
number of red counters= 3
number of blue counters= 2
number of green counters = 5
p(of getting a red counter) =3/10
p(of not getting a red counter) = 1-3/10= 10-3/10=7/10
Given parallelogram ABCD Find the area
Answer:
Area = ab sinx
Area = (8)(18) sin32
Area = 144 sin32
Area = 79.41
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
find the distance round to the nearest tenth
Answer:
65 units
Step-by-step explanation:
Tell whether the following lengths are possible to be sides of a right triangle. if it is a triangle, state whether if it is a acute, right or obtuse
a. 2,2,2
b. 4,6,10
c. 7,24,25
d. 1, √3, 2
Answer:
A) an equilateral triangle with acute angles (60°)
B) isn't the lengths of a triangle
C) is a right triangle
D) is a right triangle
Step-by-step explanation:
A) 2,2,2, all sides and angles are all equal
B) applying cos rule to get the angles, an angle will be zero and a triangle can't have zero angle, thus the lengths are not that of a triangle
C) it's a right triangle as the dimensions are a pythagorean triple
D) it's a right triangle as the dimensions are a pythagorean triple
Pls help me desperate for this answer !!
TB ≅ TC
TA ≅ AT
Answer:
its tb=tc g
Step-by-step explanation:
There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.
Answer:
147/572
Step-by-step explanation:
The number of combinations of n things chosen r at a time is
[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex] (Some writers use the symbol [tex]_nC_r[/tex])
Choose 4 women from the 7:
[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex] ways
Choose 3 men from 9:
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex] ways
There are 35 x 84 = 2940 ways to choose both, out of
[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.
Probability:
[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]
P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]
When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.
[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]
A polynomial with a degree of 3
Example: x^{3} +7
Answer:
[tex]x^{3}-5x^{2}+2x+8[/tex]
my math grade currently is a 96%. i get a 55% on a math test. the weight of the test is 50% of my grade. what would my grade be?
Answer:
h
Step-by-step explanation:
g
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
its A
Step-by-step explanation:
just took the test
Answer:
The first graph on edge 2021
Line C passes through the points (-6, -2) and (3,8). Line Fis perpendicular to Line C. What is the slope of Line F?
Slope of Line F =
2 3
4
Answer:
-9/10
Step-by-step explanation:
The slope of line C is [tex]m=\frac{8-(-2)}{3-(-6)}=\frac{10}{9}[/tex].
The slope of any line perpendicular to line C is the negative (opposite) reciprocal of this slope.
The slope of line F is [tex]-\frac{9}{10}[/tex].
Find the equation of the straight line passing through the point (3, 5)
which is perpendicular to the line
y = 3x + 2
Answer:
y = -1/3x + 6
Step-by-step explanation:
the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.
5 = -1/3(3) + b
5 = -1 + b
6 = b
The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential.
Answer:
1. Constant multiplicative.
2. 1.05.
Step-by-step explanation:
Their savings increase by 1.05x every year.
I need help on this question
Answer:
11. Volume = 2181.2mm^3
12. Surface Area = 1204.49mm^2
Step-by-step explanation:
We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:
a^2+b^2 = c^2
13.3^2+20.5^2 = c^2
176.89+420.25 = c^2
597.14 = c^2
24.44 = c
Now we can find the volume using the formula:
V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
V = 2181.2mm^3
To find the surface area using the surface area formula:
A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt
13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
A = 1204.49mm^2
Which of the following lists all prime numbers between 6 and 18?
How to solve Mathematics techniques
Answer:
you can add them
Step-by-step explanation:
The difference between six and a number is two
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
help pls the question is in the picture
Answer:
[tex]\neq \neq \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \geq x^{2} x^{2} \sqrt{x} \frac{x}{y} x_{123} x_{123}[/tex]
Step-by-step explanation:
yeah
Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.
Answer:
$7
Step-by-step explanation:
Answer:
pretty sure its 7
Step-by-step explanation:
Original price: $26
Sales tax: 3%
Answer:
$25.22
Step-by-step explanation:
26 x .03= 0.78
26-0.78= $25.22
i hope this helps :)
Which measure would change if you replaced 67 with 115
23, 89, 15, 67, 32, 41
A. Lower quartile
B. Mean
C. Mode
D. Median
HELP PLEASE!
What is 31.83098862 to the nearest square inch ? Please help
Answer:
32
Step-by-step explanation:
The number to the right of the decimal is higher than 5, meaning you would round up.
Please help triangle similarity
9514 1404 393
Answer:
(C) SAS
Step-by-step explanation:
The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.
Those angles are between pairs of proportional sides:
60/42 = 40/28 = 10/7
so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.