Answer:
n = 18
Step-by-step explanation:
n/2 + 15 = 24
n/2 = 9
n = 18
Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola bars Andrew brought.
13+b
13b
b÷13
13÷b
Answer:
13b
Step-by-step explanation:
Answer:
The correct Answer is B: 13B
Step-by-step explanation:
Have A Nice Day.
What method can be used to prove the triangles are congruent?
Options: AAS, ASA, SSS, SAS, HL or Not Possible
Answer:
An method would be ASA
Step-by-step explanation:
This is about the cone formula. If you don't know it, please don't answer. If you do, PLEASE ANSWER.
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
What is the answer
How do you solve it
Answer:
-50y+(-80)
Step-by-step explanation:
Help me please I give brainliest and be serious
Answer:
15, y = 1/2x + 3.75
Step-by-step explanation:
Am not 100% sure but for #15
cuz I graphed it & it looks alike
how many gallons of water did niles pour into the tank each minute? Please help me asap
Step-by-step explanation:
3
fdjdjdjdnfjfjfjfjjfkfjf
Please help with my math problems
Answer:
4. D
6. A
Step-by-step explanation:
62% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 48 owned dogs are randomly selected, find the probability that
a. Exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
Answer:
a) 0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b) 0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c) 0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d) 0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
Step-by-step explanation:
To solve this question, we use the binomial probability distribution, and also it's approximation to the normal distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
62% of owned dogs in the United States are spayed or neutered.
This means that [tex]p = 0.62[/tex]
48 owned dogs are randomly selected
This means that [tex]n = 48[/tex]
Mean and standard deviation, for the approximation:
[tex]\mu = E(x) = np = 48*0.62 = 29.76[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{48*0.62*0.38} = 3.36[/tex]
a. Exactly 30 of them are spayed or neutered.
This is P(X = 30), which is not necessary the use of the approximation.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 30) = C_{48,30}.(0.62)^{30}.(0.38)^{18} = 0.1180[/tex]
0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
Now we use the approximation. This is, using continuity correction, [tex]P(X \leq 33 + 0.5) = P(X \leq 33.5)[/tex], which is the pvalue of Z when X = 33.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 29.76}{3.36}[/tex]
[tex]Z = 1.11[/tex]
[tex]Z = 1.11[/tex] has a pvalue of 0.8665
0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
Using continuity correction, this is [tex]P(X \geq 31 - 0.5) = P(X \geq 30.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
1 - 0.5871 = 0.4129
0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
This is, using continuity correction, [tex]P(24 - 0.5 \leq X \leq 30 + 0.5) = P(23.5 \leq X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 23.5.
X = 30.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
X = 23.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{23.5 - 29.76}{3.36}[/tex]
[tex]Z = -1.86[/tex]
[tex]Z = -1.86[/tex] has a pvalue of 0.0314
0.5871 - 0.0314 = 0.5557
0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
please help me solve this problem!!
Answer:
here's the link to the answer
Step-by-step explanation:
WWW.math.com/int.etg
The vertex form of the equation of a parabola is y = (x + 5)2 + 49.
What is the standard form of the equation?
O A. y= x2 + 10x + 74
B. y= x2 + 5x +49
O c. y = x2 + 49x + 35
d
O D. y= 5x2 + 10x+ 74
SUBMIT
Answer:
A
Step-by-step explanation:
3)
13 and 31 both are prime numbers. In both numbers, 1 and 3 are common. Now,
make four pairs of such prime numbers from 1 to 100.
13 and 31
17 and 71
37 and 73
79 and 97
hope my ans helps
be sure to follow me
stay safe ❣️
Factor completely
12n^3 + 15n^2 + 4n + 5
Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )
Alonzo believes the answer is 8.
Alice believes the answer is -8.
Juan believes the answer is -1/8
Do you agree with any of their answers?
|x+3 , if x = 2. Plz help I will pick brainlist
Answer:
1(2)+3=5
Step-by-step explanation:
x+2/3=6 what is x .................
Answer:
x=16/3
x=5 1/3
x=5,3333333.....
Step-by-step explanation:
x+2/3= 6
x= 6-2/3
x=16/3
x= 5 1/3
x=5,33333333333......
I hope this will help you
HELP I DONT KNOW HOW TO DO THIS : international space station anniversary emoji math
X + (x+1) + (x+2) = -21
Answer:
x= - 8
Step-by-step explanation: Are you solving for X if so here is the answer
6. What is the first step when looking at a data set?
Un a) Find the mean
b) Sort the data into categories
Find the range
d) Put the data in ascending order
Answer:
put the data in ascending order
not sure if it's correct
Divide 14 4/10 by 5 9/16
Juan's car used 12 gallons of gasoline to travel 456 miles. How many miles do I travel for each gallon of gasoline?
Answer:
38 miles per gallon
Step-by-step explanation:
465 miles / 12 gallons
38 miles / gallon
Which of the following will equal to a product of 8/10?
Answer:
i think 80
Step-by-step explanation:
Solve the inequality X+1>4. Then graph the solutions,
What are the solutions?
Answer:
x>3
Step-by-step explanation:
Answer:
C. x>3 is the answer I believe
Help please with step by step
Answer:
47.1
Step-by-step explanation:
tan 61 = FD/24
FD = 43 3
cos 19 = 43.3/FE
FE = 43.3/cos 19 = 47.1
Tarik turns in his third research report.
His teacher says that 20% of his reports for the
year are done. How many research reports will
Tarik complete during the school year?
Show your work.
0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?
Answer: Loss, 200 Rs
Step-by-step explanation:
Given
Sharad bought a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]
So, the cost price of onion is
[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]
He sells it at [tex]18\ \text{Rs. per kg}[/tex]
Here, the Selling price is less than the cost price
So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]
For a quintal it is
[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]
[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]
What is the area of the triangle?
Answer:
16 units²
Step-by-step explanation:
Area of the right triangle = ½ × base × height
base = 8
height = 4
Substitute
Area = ½ × 8 × 4
Area = ½ × 32
Area = 16 units²
14x2 –y2 +3x2 –y+2y2
Answer:
120
Step-by-step explanation:
What is the value of x in the figure above?
What is Y?
What is the value of z?
What 2 methods can be used to find Z?
Answer:
y=92
z=57
TWO METHODS:
1) z=180-31-92 (small triangle)
2) z=180-60-63 (big triangle)
Step-by-step explanation:
63+29+x=180
x=180-92
x=88
y=180-88
y=92
z=180-31-92
z=57
Garrett has a current checking account balance of $695. Over the next three days, he receives a direct deposit of $475.75 from his job, pays an annual online banking fee of $24, and makes purchases of $34.21 and $8.92. He then withdraws $60 from an ATM that charges a $3.50 usage fee.
What is Garrett's account balance at the end of the day period? Write your answer in numeric form, such as $1369.05.
Answer:
1040.12
Step-by-step explanation:
695.00
+475.75
=1,170.75
Subtract
24.00
34.21
8.92
60.00
3.50
= 130.63
695.00+475.75=1,170.75-130.63=1040.12
What is an equation of the line that passes through the point (4,-1) and has a slope of -2?
Answer:
Option C, [tex]y = -2x + 7[/tex]
Step-by-step explanation:
1) Slope-intercept format is represented by the formula [tex]y = mx + b[/tex]. By looking at the options, we can see that all of them follow this format.
So, first, we can identify which equations have a slope of -2 to narrow down our options. In slope-intercept form, the coefficient of the x-term, or [tex]m[/tex], represents the slope. So, this narrows the answer down to options b and c because they are the only ones that have [tex]m[/tex] as -2.
2) Next, in order to find which equation is the right answer, we can substitute the x and y values of the given point (4, -1) into both equations, then simplify. Whichever equation results in a true statement must be the answer. Let's try option c first. Substitute 4 for x and -1 for y:
[tex]-1=4(-2)+7\\-1 = -8+7\\-1=-1[/tex]
-1 does equal -1, so this statement is true. Thus, option c must be the answer.
The equation of the straight line will be -
y = -2x + 7
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have an equation of the line that passes through the point (4,-1) and has a slope of -2.
Assume the equation of the line to be -
y = -2x + c
The line passes through the point (4,-1), so we can write -
-1 = -2 x 4 + c
-1 = -8 + c
c = -1 + 8
c = 7
Therefore, the equation of the straight line will be -
y = -2x + 7
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2