Answers
This is because the question asks if a student DOES NOT have any pets, so you find the total outside of the ‘has pets’ area. This is 30 that have siblings and 5 which do not:
30+5 = 35
Then the question asks for the probability that they DO NOT have siblings so that is 5 people.
5/35 = 1/7
Related Questions
Please help me as soon as possible! :)
1 1/8 + b ≥ 7/16
Answers
Answer: 42
Step-by-step explanation:
Example:
Solve x + 7 < 15
Solution:
x + 7 < 15
x + 7 – 7 < 15 – 7
x < 8
Inequalities Of The Form “x – a < b” or “x – a > b”
Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (*≧∀≦*)
The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Now,
Solve the inequality as;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Solve for b as;
⇒ 9/8 + b ≥ 7/16
Subtract 9/8 as,
⇒ 9/8 + b - 9/8 ≥ 7/16 - 9/8
⇒ b ≥ (7 - 18) / 16
⇒ b ≥ - 11/16
⇒ - 11/16 ≤ b
Thus, The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
Learn more about the inequality visit:
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Solve for x: 5x + 15 = 28
Answers
Answer:
x= 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
5x + 15 = 28
5x + 15 (-15) = 28 (-15)
5x = 13
5/5x = 13/5
x= 2 [tex]\frac{3}{5}[/tex]
Answer:
x=2.6
Step-by-step explanation:
1)write equation
2)put line through equal sign(if on paper, its way easier to put a line through.)
3)subtract 15 from 15
4)subtract 15 from 28(13)
If it were to be a negative 15 youd add 15. Never add or subtract to a number with a letter!
5)what's left over is 5×=28 divide 5 on both sides.
6)13÷5=2.6
Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:
(a) the probability that a single score drawn at random will be greater than 110
(b) the probability that a sample of 25 scores will have a mean greater than 105
(c) the probability that a sample of 64 scores will have a mean greater than 105
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
Answers
Answer:
(a) 0.2033
(b) 0.0188
(c) 0.0004
(d) 0.095
Step-by-step explanation:
(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 - 100)/12 = 0.83
So P (X > 110) = P (Z > 0.83) = 0.2033
(b) Probability that a sample of 25 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08
P (X> 105) = P (Z > 2.08) = 0.0188
(c) Probability that a sample of 64 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33
P (X> 105) = P (Z > 3.33) = 0.0004
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:
(105-100) / 3 = 1.67
and for X= 95 ==> Z = (95 - 100)/3 = - 1.67
P (X > 105) = P (Z > 1.67) = 0.0475
P (X < 95) = P (Z < -1.67) = 0.0475
which add up to: 0.095.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
In a normal distribution 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]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 100, hence [tex]\mu = 100[/tex].Standard deviation of 12, hence [tex]\sigma = 12[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 110, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{12}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033
0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
Item b:
Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].
This probability is 1 subtracted by the p-value of Z when X = 105, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{2.4}[/tex]
[tex]Z = 2.08[/tex]
[tex]Z = 2.08[/tex] has a p-value of 0.9812.
1 - 0.9812 = 0.0188
0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
Item c:
Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{1.5}[/tex]
[tex]Z = 3.33[/tex]
[tex]Z = 3.33[/tex] has a p-value of 0.9996.
1 - 0.9996 = 0.0004
0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
Item d:
Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].
Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
2 x 0.0475 = 0.095
0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
A similar problem is given at https://brainly.com/question/24663213
Can someone help me plz
Answers
Answer:
i think the answer is 7
If 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?
Answers
Answer:
13
Step-by-step explanation:
First, double the first equation.
If 3x+7=5, then 6x+14=10
Since they are asking for 6x+17, the answer is 10+3=13
Hope I helped!
To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answers
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
Is (2, 2) a solution of the inequality y < 3x - 5?
Answers
Answer: it’s not a solution or C
Step-by-step explanation:
the given point is (2,2) there is a x value and a y value
so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*
2 does NOT equal to 1
Answer:
Third option, It is not a solution.
Step-by-step explanation:
What is the exact value of sin(75°)?
Answers
Step-by-step explanation:
sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.
Answer:
D.)
Step-by-step explanation:
Edge
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answers
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
where does 3.5 belong o the venn diagram
Answers
Answer:
I think i would be c or a but im not sure
step-by-step explanation:
true or false ------- y-intercept is where a point crosses the x-axis
Answers
Answer:
false
Step-by-step explanation:
that would be x-intercept
True
5 + x + 3 + 2x = -2(4x - 15) show the work
Answers
Answer:2
Step-by-step explanation:
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
Answers
Answer:
No, it isn't.
Step-by-step explanation:
We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line
[tex]4x+3y=12[/tex]
We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].
In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :
[tex]IR^{2}[/tex] itself.The vector [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]All lines in [tex]IR^{2}[/tex] that passes through the origin ( [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex] )We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]
If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :
[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]
Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]
You burn 4 Cal/min walking and 10 Cal/min running. You walk 10 to 20 min each day and run 30 to 45 min each day. You never spend more than an hour running and walking together. How much time should you spend on each activity to maximize the number of Calories you burn? Will you have exercised enough to burn off a 500-Calorie meal? A. 50 minutes running, 10 minutes walking; yes. B. 45 minutes running, 15 minutes walking; yes. C. 40 minutes running, 20 minutes walking; no. D. 30 minutes running, 30 minutes walking; no.
Answers
Answer:
I don’t know how to do the explanation but the answer is 15 min waking and 45 running. I got it right on the test
Step-by-step explanation:
How many kilometers are in 60 miles? Note: There are 1.609kms in 1mi.
Answers
Answer:
Your answer is 96.5606 Kilometers.
Step-by-step explanation:
1.609 x 60 = 96.5606
Mark as brainliest if it's correct!
Answer:
96.5606kms
Step-by-step explanation:
Mario paid $30 to activate his cellular phone plus $50 per month. Type an equation:_
Answers
Answer:
50x + 30
Step-by-step explanation:
50 is the amount per month and x is how many months he's paying. If he's paying for 5 months then you replace x with 5 so on and so forth. the + 30 is the amount he paid to active his phone
Answer:
pa rompa pero no poden con mi pom pom con pom pom con pom pom
Step-by-step explanation:
8 less than the length L
Answers
Answer:
L-8=?
Step-by-step explanation:
Which transformations map the strip patterns onto itself?
Answers
Answer: D.
A horizontal translation and a glide reflection.
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by __ the amount, or size, at time t is represented by __
Answers
2.A0^ekt
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]
Let us consider that [tex]N_{0}[/tex] is the initial amount and N is represent that amount after growth or decay in time t .
Model for exponential growth or decay is,
[tex]N=N_{0}e^{kt}[/tex]
Amount at t=0 is,
[tex]N=N_{0}e^{k*0}=N_{0}[/tex]
Learn more:
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Help me with this please
Answers
Answer:
The First Table
Step-by-step explanation:
The y-values increase inconsistently, while the other tables are constant.
whats the area of a circle if the diameter 6
Answers
Answer:
28.27
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
6x3.14 = 18.84. multiply by pi
Solve for f: (-1/8)f - (3/4) -
(1/4)f = 11
Answers
Answer: The answer is f= –31 1/3.
Step-by-step explanation: To solve for f, you’ll need to simplify the both sides of the equation, and then isolating the variable. Use online advanced calculators to calculate the equation to view all the steps.
What is the chance of rolling two dice and the dice add up to six?
Answers
around 13% chance
Step-by-step explanation:
A Ferris wheel can accommodate 55 people in 30 minutes. How many people could ride the Ferris wheel in 5 hours? What was that rate per hour?
Answers
Answer:
i believe your answer is 550 people, which would be 110/hr
Step-by-step explanation:
Hope that helps!
Graph the greatest integer, f(x) = [x]
Answers
Answer:
Step-by-step explanation:
how many eights are there in three and a quater
Answers
Help no troll answer plz
Answers
Answer:
Step-by-step explanation:
Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.
Q 5. This question belongs to Physics and not Mathematics!!!
Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )
f = v / (lambda)
f = 3 / 2 = 1.5 (Hz)
Q 6. 0.060 ÷ 2 = 0.030 m
Which equation has the solution x=3
Answers
Answer:
6-x=3 4-x=1 96 divided by x = 32
Step-by-step explanation:
Hope this helped! If it did, please mark me as brainilest and give a shot at my 100 points homework/puzzle. Here is the link: https://brainly.com/question/19021808 Thanks!
LMC given numbers 60 and 80
Answers
240 is answer
LCM : least common factorSelect The correct Description giving brainliest:)
Answers
Answer:
D. The quotient of a difference and a number
Step-by-step explanation:
its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)
Answer:
C!!!!
Step-by-step explanation: