Answer: [tex]\dfrac{76}{89}[/tex]
Step-by-step explanation:
The pool of rats from which the researcher is drawing participants is composed of the following:
23 male albino rats
21 male spotted rats
35 female albino rats
11 female spotted rats
Total rats = 23+21+35+11 =90
[tex]P(male\ albino)=\dfrac{23}{90}[/tex]
After drawing first rat , total rats remained = 89
[tex]P(\text{either a female albino rat or a male spotted rat})=\dfrac{35+21}{89}=\dfrac{76}{89}[/tex]
The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = [tex]\dfrac{76}{89}[/tex]
Is it or not pls I need help
Answer:
no it is not
Step-by-step explanation:
i drew the line bc in order for it to be a function there would have to be only one point in each line
hopefully this helps :)
have a nice day !!
I Need help with these please
9514 1404 393
Answer:
5. (d) 8
6. (c) 120°
Step-by-step explanation:
5. OC is a radius, just like BO is. The angle at B is a right angle, so the Pythagorean theorem can be used to find BO.
AO² = BO² +BA²
BO² = AO² -BA² = 17² -15² = 289 -225 = 64
BO = CO = √64 = 8
__
6. The measure of arc IK is the same as the measure of the central angle. If we name the circle center X, then arc IK = ∠IXK = ∠HXL because those angles are vertical angles.
arc IK = 120°
In a game involving a standard deck of 52 playing cards, an individual randomly draws 6 cards without
replacement. Let Y be the number of aces drawn.
What type of variable is Y?
Answer: Neither
Step-by-step explanation:
If you leave $2300 in an account earning 3% interest, compounded daily, how much money will be in the account after 5 years? (Round your answer to two decimal places.)
Answer:
$2672.20
Step-by-step explanation:
2300(1+(0.03)/(365))^(5*365)
=$2672.20
tamelas school day is 6 3/4 hours. She has seven classes that are 3/4 hour long. How many hours is Tamela not in class while she is at school
A: 1 1/2
B: 5 1/4
C: 6
D: 18 3/4
Answer:
A because 6.75 - 5.25 is 1.5
4. What is the slope of the graph of x – 2y = 8?
Answer:
The slope is 1/2
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m
Hope this helps:)
5/8(64−96) simplify
☁️ Answer ☁️
-20
Hope it helps.
Have a nice day noona/hyung ￣▽￣
Mrs. Daniel packs reams of paper into boxes. The box has a mass of 18
ounces, and each ream of paper weighs 22 ounces. If the function
y = 22x + 18 describes the total mass, the variable x represents the —
A.total mass of a box filled with reams of paper
B.total number of boxes filled with reams of paper
C.mass of each ream of paper inside a box
D.number of reams of paper packed in a box
Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.
Required:
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
Answer:
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
North Catalina:
Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:
[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]
Chapel Mountain:
Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:
[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
We want that: [tex]N - C > 5[/tex]
Distribution N - C:
The mean is:
[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]
The standard deviation is:
[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - 10}{7.3937}[/tex]
[tex]Z = -0.68[/tex]
[tex]Z = -0.68[/tex] has a pvalue of 0.2483
1 - 0.2483 = 0.7517
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
You have four ice cubes in your cup of lemonade each ice cube has a length of 2 1/4 cm a width of 2 2/3 cm and a height of 2 cm what is the total volume of all the ice cubes
Answer: 6
Step-by-step explanation:
3x6/7 (write in simplest form
Answer:
2 4/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
21. Which two ratios can be represented by a ratio of 7 to 12?
A the ratio of shells to rocks if there are 7 rocks and 12 shells
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
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Answer:
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by a divided by b.
A the ratio of shells to rocks if there are 7 rocks and 12 shells
12 shells and 7 rocks, so this ratio is 12 to 7.
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
12 shoes and 7 dresses, so this ratio is 12 to 7.
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
7 sick patients
7 + 12 = 19 total patients
So this ratio is 7 to 19
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.
22 is what percent of 40?
what is 35% of 60?
Answer:
Step-by-step explanation:
x% of 40 = 22
(x/100)×40 = 22
x = 22×100/40 = 55
22 is 55% of 40
:::::
35% of 60 = 0.35×60 = 21
Answer:
[tex]\huge\boxed{55\%}\\\boxed{21}[/tex]
Step-by-step explanation:
22 is what percent of 40?
[tex]\dfrac{22}{40\!\!\!\!\diagup}\cdot100\!\!\!\!\diagup\%=\dfrac{22\cdot10}{4}\%=\dfrac{11\cdot5}{1}\%=55\%[/tex]
[tex]p\%=\dfrac{p}{100}\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 60\to \dfrac{35}{100\!\!\!\!\diagup}\cdot60\!\!\!\!\diagup=\dfrac{35\cdot6}{10}=\dfrac{210}{10}=21[/tex]
Answer this correctly and I will give u brainslist and this is worth 15 points
The answer is A) 60°
Step-by-step explanation:
It's reflecting
answer pls ty ill give brainliest
Answer:
2.5
Step-by-step explanation:
Answer:
2.5 im not sure ThanksStep-by-step explanation:
Im not sure
Let $f(x) = x^3 + 3x ^2 + 4x - 7$ and $g(x) = -7x^4 + 5x^3 +x^2 - 7$. What is the coefficient of $x^3$ in the sum $f(x) + g(x)$?
Answer:
6
Step-by-step explanation:
Adding the two polynomials gives
(x^3 + 3x^2 + 4x - 7) + (-7x^4 +5x^3 + x^2 - 7) =
-7x^4 + (x^3 + 5x^3) + (3x^2 + x^2) + 4x + (-7-7) =
- 7x^4 + 6x^3 + 4x^2 + 4x -14
The x^3 term is 6x^3, so the desired coefficient is 6.
write the first four terms of the sequence
the rule is: start at 3 1/8, subtract 3/4
Answer:
start at 3 1/8
1st teem = 3 1/8
2nd term = 3 1/8 - 3/4
= 25/8 - 3/4
= 25/8 - 6/8
=19/8
= 2 3/8
3rd term = 2 3/8 - 3/4
= 19/8 - 3/4
= 19/8 - 6/8
=13/8
= 1 5/8
4th term = 1 5/8 - 3/4
= 13/8 - 3/4
= 13/8 - 6/8
=7/8
Step-by-step explanation:
help me please :)))))))))))
Answer: Can you pleaes post the pic again it is not clear
Step-by-step explanation:
Pls helppppppp!!!!!!!!!!!
Answer:
part of it is cutted out show a better picture please ill answer it
Step-by-step explanation:
why is 2 × 3/4 less than 2
Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
Is 2/4 smaller than 2/3? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
2/4 = 0.5
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.5 is less than 0.667.
Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.
i think this will help
The point (3, −5) is reflected over the x-axis. What are the coordinates of the new point? Group of answer choices
(3,5) is the answer i think
hope it helpss
Which of the following shows the graph of y = 4^x+ 3?
Answer:
the graph of y=4 x+3 is a straight line that passes through the point (0,3) and (0
Step-by-step explanation:we can clearly see that the graph of y=4x+3 is a straight line that passes through the x and y axes at the point -0.75 and 3 respectively.hence we could also say that it is a extended line of the line segment passing through (0,3) and (-0.75,0).
The graph is plotted in the 1 ,2 and 3 quadrant.
Answer:
The graph for that would look like this
Step-by-step explanation:
Amy is 4 years older than April. Together, their age is 24. How old is April and how old is Amy?
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A cube has a side length of 3.5 cm. What is the surface area of the cube?
Answer:
73.5
Step-by-step explanation:
3.5 times 3.5 = 12.25
Multiply 12.25 by 6 since there are 6 faces with the same surface area to get 73.5 as your answer.
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches. What is the width of frame a and frame b.
Answer:
Frame A width = 6.67 inches
Frame B width = 6 inches
Step-by-step explanation:
WA = width of frame A
WB = width of frame B
(WA)(6.75) = 45
WA = 6.67
(WB)(7.5) = 45
WB = 6
i am feeling generous so I am giving away points to anyone who answers this easy question what is 10÷x+10×10+x-3x if x=0.111111111
Answer:
189.77777867
Step-by-step explanation:
10/.111111111+10x10+.111111111-3(.111111111)
189.77777867
I know this was just for points but...
Hope this kind of helped if you actually needed the question answered and have a fantastic day C:
Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:
Lateral areas?
Volumes?
Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of [tex]a:b[/tex], the ratio of any surface area type measure is always [tex]a^2:b^2[/tex] this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of [tex]a^3:b^3\\[/tex].
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of [tex]\frac{5\frac{1}{2} }{2\frac{3}{4} }[/tex] which if you simplify it, it is [tex]\frac{5.5}{2.75}[/tex], which is [tex]2[/tex]. The ratio of the heights are [tex]2:1[/tex].
Now we can apply those rules to this ratio, the ratio of lateral areas would then be [tex]2^2:1^2[/tex], which is [tex]4:1[/tex]. the ratio of volumes would be [tex]2^3:1^3[/tex], which is [tex]8:1[/tex]
25 is 32% of what number
Answer:
78.125
Step-by-step explanation:
0.32*x = 25
x = 25/0.32 = 78.125
Answer:
78.125
Step-by-step explanation:
Let the number be Y
32% of Y = 25
32/100 x Y = 25
32Y = 25x100
32Y = 2500
divide both sides by 32
Y = 2500/32
Y = 78.125
Answer It, Thanks. -3(-100)
Answer: 300
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
If all terms are negative then the result will come out positive.
Find the slope of line y = -3x + 2
Answer:
-3
Step-by-step explanation: