Answer:
0 students have a cat and 92 students have a dog
The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The class has a cat and a dog = 9
Has a dog and does not have a cat = 2
Does not have a dog and has a cat = 4
Does not have dog and cat = 5
The total strength of the class is 20
The probability that a student is chosen randomly from the class has a cat or a dog = Number of favorable outcomes / total number of outcomes
P(E) = 15 /20
Hence, The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.
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pls show your work if possible
Answer:
32 in²
Step-by-step explanation:
A= ((a+b)/2)*h
A= ((6+10)/2)*4
A=32
What is the slope, m, of the line through (-7, -2) and (-6, 7)?
Answer:
Slope = 9
Step-by-step explanation:
(-7 , -2) ; x₁ = -7 and y₁ = -2
(-6 , 7) ; x₂ = -6 and y₂ = 7
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]
1)) An angle measures 132° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
156° and 24°
Step-by-step explanation:
Let it's supplementary angle be x.
So, the angle = (x - 132)°
As we know, sum of supplementary angles is 180°;
x + x - 132 = 180
2x = 180 + 132
2x = 312
x = 312/2
x = 156°
(x-132)° = (156-132)° = 24°
Hence, the angles are 156° and 24°.
Could I get some assistance with this one? I'm a little stuck. Thank you so much! C:
Answer:
$13.64
Step-by-step explanation:
you need about 1853 sheets of paper which is
1853 ÷ 500, or 3.706 reams
if 1 ream costs $3.68 then 3.706 reams costs 3.706 × 3.68 or $13.64
Use the table to write each ratio Redbirds to blue socks
What is the value of the expression below when y=2 AND z=8?
8y-z
Answer:
Step-by-step explanation:
A rocking horse has a weight limit of 60 pounds. What percentage of the weight limit is 33 pounds?
Answer:
57 pounds weight is 95 percent of the limit i think
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
50% of 60 is 30
5% of 60 is 3
If P = (8,2), Find: r270 (P)
Answer:
In geometry we use input/output process when we determine how shapes are altered or moved. ... f) P (x,y) ------ > (x + 3, 2y) (-4,9). A' (-1, 18)_.
What slope of the points (9,7) and (3,3)
Answer:
6/4
Step-by-step explanation:
Answer:
slope
=
−
21
16
Explanation:
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
−
7
,
11
)
and
(
x
2
,
y
2
)
=
(
9
,
−
10
)
⇒
m
=
−
10
−
11
9
−
(
−
7
)
=
−
21
16
=
−
21
16
Step-by-step explanation:
what is a project in project planning and management and business
Answer:
Step-by-step explanation:
Business projects are intended to achieve defined business objectives and are aligned with a company's business strategy. ... It's important to note that all projects, regardless of type, must meet certain criteria to be considered projects. The primary two requirements are that they are both temporary and unique
Project management is the process of leading the work of a team to achieve goals and meet success criteria at a specified time. The primary challenge of project management is to achieve all of the project goals within the given constraints
How do you define a project?
According to the PMBOK (Project Management Body of Knowledge) 3rd edition, A project is defined as a “temporary endeavor with a beginning and an end and it must be used to create a unique product, service or result”. Further, it is progressively elaborated.
What is a project in business?
A project is a temporary piece of work which falls outside 'business as usual' day-to-day operations and can be anything from moving offices or building a website to carrying out major construction work or complex statistical analysis. Some businesses are entirely project-based
Solve the right angle . Round decimal answers to the nearest tenth
9514 1404 393
Answer:
YZ = 8.5∠X = 70.5°∠Z = 19.5°Step-by-step explanation:
There are a couple of ways to do this. We can find YZ using the Pythagorean theorem, or we can find it using trig functions.
We know from SOH CAH TOA that ...
Cos = Adjacent/Hypotenuse
cos(X) = 3/9 = 1/3
X = arccos(1/3) ≈ 70.5°
Angle Z is the complement of this, so is ...
Z = 90° -70.5° = 19.5°
__
The length of side YZ can be found from ...
Sin = Opposite/Hypotenuse
sin(X) = YZ/XZ
YZ = XZ·sin(X) = 9·sin(70.5°) ≈ 8.485 ≈ 8.5
__
In summary, ...
YZ = 8.5; ∠X = 70.5°; ∠Z = 19.5°
Find the area of 10cm, 27cm, 9cm and 24cm.
If you are helped with my answer pls tag me brianliest
THANK YOU.........Calculate the slope of the line using two points.
Question 1 options:
-1/4
1
-4
1/4
Calculate the slope of the line using two points.
Question 2 options:
1
2
4
1/4
Calculate the slope of the line using two points.
Question 3 options:
1/3
2/3
3/2
3
Question 4
Calculate the slope of the line using two points.
Question 4 options:
1/3
2/3
3/2
2
A can of juice has a radius of 4 inches and a height of 7 inches. What is the volume of the can?
Round your answer to the nearest tenths place.
Answer:
351.7
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
V = 3.14(4²)(7)
V = 3.14(16)(7)
V = 50.24(7)
V = 351.68
Rounded to the nearest tenth:
351.7
It takes Bethany 9 hours to proof a chapter of Hawkes Learning Systems' College Algebra book and it takes Nina 5 hours. How long would it take them working together
Hello!
Here we could use something called the work equation.
If [tex]x[/tex] is considered proofing a chapter of the book, we can set up an equation such as, [tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex].
Then, all we do is solve for it.
[tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex]
[tex]5x+9x=45[/tex]
[tex]14x=45[/tex]
[tex]x=\frac{45}{14}[/tex]
So working together, it would take them [tex]\frac{45}{14}[/tex] hours to proof a chapter of the book.
Hope this helps!
5/3 plus 11/4 I NEED IT FAST!!
where is -3 3/4 on a number line
Answer:
here lol https://imageshare.best/8R2I7D
Step-by-step explanation:
Vicky made some purchases at the
Sunflower Market. She bought strawberries
for $3.50, carrots for $2.25 and a bouquet of
flowers for $9.95. If sales tax is 5%, what will
Maria pay altogether?
1. $16.48
2. $15.70
3. $16.49
4. $16.50
Step-by-step explanation:
Vicky Bought:
Strawberries $3.50
Carrots $2.25
Flowers $9.95
Subtotal $3.50 + $2.25 + $9.95
= $15.70
5% Sales Tax (5% of Subtotal) = 5/100 x $15.70
= $0.785 (will not round off here as it is not the final answer.)
Total = Subtotal + 5% Sales Tax
= $15.70 + $0.785
= $16.485
= $16.49 (rounded off to nearest cent)
Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
The solution to the matrix equation ...
[tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]
is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]
Need the Answer for this, provide an explanation.
Answer:
D) -5x(x² + 2x + 3)
Step-by-step explanation:
-5x³ - 10x² - 15x
Common factor:
-5x
Factored:
-5x(x² + 2x + 3)
8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
free throws he attempts. Josh makes 80% of his free throws. Suppose we take
separate random samples of 50 free throws each from Daren and Josh, and
record the proportion of free throws that are made by each. Which of the
following best describes the sampling distribution of PD - Pj?
Answer:
B) Approximately normal, with mean -0.05 and standard deviation 0.083
Step-by-step explanation:
The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.
The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
What is the distribution of population proportion?For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]
Then, we get:
[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]
where
[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity, and n = size of sample drawn.Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
Here, we're specified that:
For proportion of correct free throw attempts by Daren:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_D = 75\% = 0.75[/tex]Let the population proportion be represented by variable [tex]p_D[/tex]For proportion of correct free throw attempts by Josh:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_J = 80\% = 0.8[/tex]Let the population proportion be represented by variable [tex]p_J[/tex]And therefore, we have:
[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]
And therefore, we get:
[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).
Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:
[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]
Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
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solve for x in the rectangle below
Answer:
There isnt a rectangle buddy
Step-by-step explanation:
State the cross section of the shape found in the picture
Can someone pls help with this
Answer: 4
Step-by-step explanation:
prove why 2,5,8,11 and 14 are not perfect squares?
Answer:
because there is an exact square number such as:4,9
Answer:
✓2=1.41421
✓5=2.23607
✓8=2.82842
✓11=3.31662
✓14=3.74166
Step-by-step explanation:
Therefore the numbers are increasing by three so they cant be perfect square
Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?
Answer:
812 dollars 14 x 58 = $812 dollars.
Step-by-step explanation:
Answer:
I think it is 812 tell me if I'm wrong please
y = -2x² + 5x+- 11 how do I write this in a standard form?
9514 1404 393
Answer:
y = -2x² +5x -11
Step-by-step explanation:
Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.
y = -2x² +5x -11
Horseshoe crabs on a beach can be overturned by approaching waves. These “stranded” crabs may right themselves by turning over. During a period of many days on an Atlantic Ocean beach, investigators categorized a random sample of crabs as either stranded or not stranded and additionally noted their age category. The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the following table.
Answer:
B) 52.54
Step-by-step explanation:
The 52.54 is closest to the expected number of young stranded horseshoe crabs.
Here we have given that,
Horseshoe crabs on a beach can be overturned by approaching waves.
The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the table.
Young Intermediate Adult Total
Yes 41 125 52 218
No 153 364 70 587
Total 194 489 122 805
What is the formula for expected number of young stranded horseshoe crabs?[tex]Expected number of young stranded horseshoe crabs=\frac{Total values of young horseshoe crabs}{ total crabs}[/tex]
Therefore we get,
Expected number of young stranded horseshoe crabs is,
[tex]=194 (\frac{218}{805} )[/tex]
[tex]=52.54[/tex]
Therefore ,the 52.54 is closest to the expected number of young stranded horseshoe crabs.
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Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation
Answer:
[tex]y = \frac{5}{2}x[/tex]
Step-by-step explanation:
Given
Variation: Direct from y to x:
[tex]y\ \alpha\ x[/tex]
[tex]y =15; x = 6[/tex]
Required
Write the equation
[tex]y\ \alpha\ x[/tex]
Express as an equation
[tex]y = kx[/tex]
Where k is the constant of variation
Substitute [tex]y =15; x = 6[/tex]
[tex]15 = 6k[/tex]
Solve for k
[tex]k = \frac{15}{6}[/tex]
[tex]k = \frac{5}{2}[/tex]
Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]
[tex]y = \frac{5}{2}x[/tex]
Convert 3y=-x + 5 into slope form
Answer:
y=-x/3+5/3
Step-by-step explanation:
slope form is y=mx+b