Answer: -330 + 22d
Step-by-step explanation:
Apply distributive law: a(b-c)=ab-ac
Answer:
[tex]-330+22d[/tex], or the other way around
Step-by-step explanation:
[tex]-11*30=-330[/tex]
[tex]-11*-2d=22d[/tex]
A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.
Answer: 20.71 m
Step-by-step explanation:
Given
the length of the poles are 25m and 35 m
The length of the cable is 23 m
Suppose the distance between them is x
From the figure, apply Pythagoras theorem
[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]
Distance between Poles is 20.71 m
Solve the Following inequality by choosing the Possible range of Values that make the Statement True
x + 3 ≥ 13
Answer:
x has to be greater than or equal to 10 (x ≥ 10)
Step-by-step explanation:
x + 3 ≥ 13
x ≥ 13 - 3
x ≥ 10
The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?
Answer:
7040 yards
Step-by-step explanation:
1 mile = 1760 yards
1 x 4 miles = 1760 x 4 yards
4 miles = 7040 yards
Hello pls help will give good old BRAINLYEST YAY
Answer:
D
Step-by-step explanation:
The mean, median, and mode all are 3
What is the area of the polygon below?
A. 120 square units
9
10
B. 174 square units
16
C. 66 square units
12
D. 84 square units
Answer:
D
Step-by-step explanation:
12-9 = 3 square unit
10 x 3 = 30 square unit
9×6 = 54 square unit
54+30 = 84 square units
and thats the answer
The area of the polygon is 84 square units, option D is correct.
What is Area of Rectangle?The area of Rectangle is length times of width.
The given polygon has two rectangles.
Area of rectangle with length 9 and width is 6 units
Area of rectangle 1 =9×6
=54 square inches
Now Area of rectangle with length 10 and width is 3 units
Area of rectangle 2 =10×3
=30 square inches
Total area = 54+30
=84 square units
Hence, the area of the polygon is 84 square units, option D is correct.
To learn more on Area click:
https://brainly.com/question/20693059
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consider the following total cost functions TC=3Q^3-5Q^2+4Q+150 find the Fixed Cost Function(FC)
Answer: 150
Step-by-step explanation:
A fixed cost is referred to as a cost that does not change with the output level that is, it doesn't change when there is a rose or reduction in the amount of goods or services that are produced.
Since the total cost function is given as
TC=3Q³ - 5Q² + 4Q + 150, we can infer that from the equation the fixed cost is 150 while the variable cost is 3Q³ - 5Q² + 4Q
Anyone know the answer
Step-by-step explanation:
[tex]4x - 16 + 2x + 16 = 180 \\ 6x = 180 \\ x = 30[/tex]
Step-by-step explanation:
A straight line has 180° so we can set
4x-16+2x+16=180
6x=180
x=30
Hope that helps :)
Which angles are vertical to each other
Answer:
The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles.
Q:An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far does she throw the javelin in total?
18.5 yd
19 yd
19.5 yd
20 yd
Answer: 19 yd
Step-by-step explanation:
hope this helped. :)
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7-3 in
7.3 in
7.3 in
7.3 in
7.3 in
(Note: diagram is NOT to scale)
Find the missing measure in a right triangle if a= 9 ft and b = 12 ft.
Answer:
c = 15 ft
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
c^2 = 225
c = √225
c = 15 ft
Which expression is equivalent to ( + )?
Answer:
No entiendo que es lo que hay qué hacer
Cassandra works for a company that is based off her sales. If she is paid 9.5% of her total monthly sales, calculate her pay for the month if she sells $15,670 of product.
Answer:
I don't understand what you mean. but 10.43 i guess
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
C) angle 7
Step-by-step explanation:
angle 7
The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion differs from 25%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.
Answer:
The p-value for a two-tailed test of hypothesis is 0.0164.
Step-by-step explanation:
The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.
This means that we look at the z-table, and we have to find:
[tex]P(|Z| > 2.4)[/tex]
Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.
Looking at the z-table, z = 2.4 has a pvalue of 0.9918
1 - 0.9918 = 0.0082
2*0.0082 = 0.0164
The p-value for a two-tailed test of hypothesis is 0.0164.
71 is 10% of what number?
52 is 97% of what Number?
Explain steps.
Answer:
71 is 10% of 710
52 is 97% of 5200/97
Step-by-step explanation:
Let’s start with 71 is 10% of what number.
basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.
so, 71=0.1x
divide on both sides,
710=x
now the second one.
repeat the same process.
52=0.97x
divide
5200/97 =x
0.9, 0.99, 0.09, 0.91, from least to greatest
Answer:
0.09, 0.9, 0.91, 0.99
Step-by-step explanation:
Well I'm in 7th grade so I already know this stuff
Please help me
Adjust to compatible numbers that count by 50s, and then subtract to
estimate the difference.
301 - 52 =
Answer:
249
Step-by-step explanation:
301 - 52 = 249
Which representation shows a proportional relationship between x and y?
Answer:
is taht delta math
Step-by-step explanation:
of so than we r in this togethrr LOL
Help please !! need it asap
What is the next term in the sequence below?
0.35, 1.05, 3.15, 9.45, …
A. 15.75
B. 27.75
C. 28.35
D. 85.05
Answer:
Its C
Step-by-step explanation:
Find the percent of change. Round to the nearest tenth of a percent if necessary.
1/4 to 1/2
9514 1404 393
Answer:
100%
Step-by-step explanation:
The percentage change can be computed from ...
pct change = ((new value)/(old value) -1) × 100%
= ((1/2)/(1/4) -1) × 100%
= (2 -1) × 100%
= 100%
The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.
3. What is the axis of symmetry of the graph of function f(x) = x² - 6x – 1
Answer:
guihnijiop;kl;lkm
Step-by-step explanation:
Answer:
A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.
f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)
f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)
f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)
f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)
Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.
Step-by-step explanation:
plz mark me as brainlist
Imagine you deposit $4,500 into an account that pays 5,5 percent interest compounded
daily. How much interest will you earn in 30 days?
Answer:
500
Step-by-step explanation:
The length of a rectangle is 4 inches longer than its width. The area of the rectangle is 32 inches square. What is the width ? The width is ___ inches
Answer:
I hope this helps dear
Step-by-step explanation:
P = 2(L + W) = 32 in
L = W + 4
2[(W + 4) + W] = 32 in ⇒
W = 6 in
L = W + 4 = (6 + 4) in = 10 in
A = LW = (10)(6) in2 = 60 in2
Helppppp!!!!!!!!! Plz
find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft
What is the description of the translation from f(x)=9x+3 to g(x)=4x+3?
Answers:
A. Moved Up
B: Counterclockwise Rotation
C: Clockwise Rotation
D: Moved Down
Answer:
Clockwise rotation
Step-by-step explanation:
Took the test, the other answer here was incorrect
(PART 2) Shout to the friend helping me
Answer:
6. 1351.92
7. -52
8.Bus Pass
9.448
10. No she of by two dollars
