A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?

Answers

Answer 1

Jonas: 1 of 5 oranges out of 13 pieces of fruit.
p(Jonas picks an orange) = 5/13

Beth: 1 of 5 apples out of 12 pieces of fruit
p(Beth picks an apple) = 5/12

p(Jonas picks an orange and Beth picks an apple) =

= p(Jonas picks an orange) * p(Beth picks an apple)

= 5/13 * 5/12

= 25/156

Answer:
The probability that Jonas will get an orange and Beth will get an apple
is 25/156

Related Questions

Please help me?

3x - 4y = 7
3x + 2y = -5

When the second equation is subtracted from the first, the resulting equation is _____.

A. -6y = -12

B. -6y = 12

C. -2y = -12

D. 2y = 12

Answers

B. -6y = 12 is the asnwer

Your answer would be B

Solve for x. 7(x + 1) = 21
x = 2
x = 20/7
x = 22/7
x = 4

Answers

x= 2 because 7x+7=21, -7 and 7x=14

7x+7=21
-7 -7
7x=14
divide 7 on both sides
x=2

What is the unit rate for 644.8 ft in 31 s?

Answers

divide feet by seconds

644.8 / 31 = 20.8 feet per second

Answer:

644.8 divided by 31 and you should get 20.8

Step-by-step explanation:

644.8 divided 31=20.8 just put it in the calculator and you can get your answer :)

The measure of ∠ABC is 46°. What is the measure of its intercepted arc AC?

46°
92°
144.44°
23°

Thank you!

Answers

The angle ABC is an inscribed angle in a circle.

So, you can use the theorem that says that the measure of an inscribed angle in a circle is half the central angle.

So, the central angle is twice 46°, that is 2 * 46° = 92°.

And you also need to know that the measure of the arc is the same measure of the central angle. So the arc AC measures 92°.

Answer: 92°

The table shows the weekly change in the water level in a swimming pool. After 4 weeks, the pool owner adds water to return the water level back to the original level. Raising the water level by 1 inch requires 320 gallons. The water hose has a flow rate of 5.75 gallons of water per minute. Will it take less than an hour to fill the pool back to return the water level to the original level? Explain your reasoning.

Week: 1 2 3 4
Change (in.) : - 1/2 3/4 -1 1/8 -1 3/8

Answers

We know that 1 inch requires 320 gallons of water. Then we need a total of [tex]1\frac{3}{8}*320=440[/tex] gallons. Divide this by the speed the water comes out of the hose:
[tex]440/5.75=76.52[/tex] minutes. Since this is more than 60, it will take over an hour to fill the pool.

The cross section of a beehive reveals it is made of regular hexagons. what is the measure of each angle in a regular hexagon?

Answers

hi how haw
hhuhyuhgrsd dffrr ffyuu jymn kjyt d hhhhhhhhaaaaaaaaa

What is the answer because I don't get it

What is the area of trapezoid ABCD ?

Enter your answer as a decimal or whole number. Do not round at any steps.

__units²

Answers

the answer is 50 units

Clyde Cement wants to analyze a shipment of bags of cement. He knows the weight of the bags is normally distributed so he can use the standard normal distribution. He measures the weight of 600 randomly selected bags in the shipment. Next, he calculates the mean and standard deviation of their weights. The mean is 50 lbs and the standard deviation is 1.5 lbs. What percentage of the bags of cement will weigh less than 50 lbs.? 50 60 75 80

Answers

Answer:

50%

Step-by-step explanation:

First, draw a normal distribution plot to use for the analysis of the data. Starting at the mean in the centre. Add one standard deviation for each interval to the right, and subtract one standard deviation for each interval to the right. See attached image. According to the empirical rule, 68% of data lies within one standard deviation of the mean, 95 % of the data is within two st. dev. and 99.7% of the data is within 3 st. dev. of the mean.

From the graph it can be deducted that half of the data will lie below 50, which makes it 50%.

An easier way of determining the answer is to use the definition of a mean. A mean is the number that,when all the data is placed in ascending order, lies right in the middle of all the data.

In a normal distribution, 50% of the values lie below the mean. Therefore, 50% of the bags will weigh less than 50 lbs.

The question involves understanding the properties of a normal distribution where the mean weight of the bags is 50 lbs, and the standard deviation is 1.5 lbs. To determine the percentage of bags weighing less than 50 lbs, we look at the standard normal distribution. Since 50 lbs is the mean, exactly 50% of the bags will weigh less than this amount. This is because, in a normal distribution, the mean divides the distribution so that half the values are below the mean and half are above it.

A line slope is 1 and its y intercept is 2 what is its equation in slope intercept form

Write your answer using integers proper fractions and improper fractions in simplest form

Answers

given slope(m) is 1 and its y-intercept(b) is 2, plug them where it belongs in the equation; y = mx + b

y = x + 2

hope this helps, God bless!

[tex]\[ y = x + 2 \][/tex] is the equation in slope-intercept form.

To find the equation of a line given its slope and y-intercept, we use the slope-intercept form: ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

Given that the slope ( m = 1 ) and the y-intercept ( b = 2 ), we substitute these values into the equation:

[tex]\[ y = 1x + 2 \][/tex]

[tex]\[ y = x + 2 \][/tex]

This is our equation in slope-intercept form.

Now, let's show the detailed calculation:

1. Start with the slope-intercept form: ( y = mx + b ).

2. Substitute ( m = 1 ) and ( b = 2 ) into the equation: ( y = 1x + 2 ).

3. Simplify: ( y = x + 2 ).

So, the equation of the line is $ y = x + 2 $. This means the line has a slope of 1 and passes through the point (0,2) on the y-axis.

Person is randomly selected. what is the probability that the person is:
a.color-blind given that the person is male? 69/133
b.male and color-blind?

Answers

If the answer to a is right, than the answer to b would be right.
But for now it's impossible to answer without more information or a diagram

Final answer:

The probability that a person is color-blind given they are male is 69/133. Calculating the probability of being both male and color-blind requires additional information about the total and male population. This showcases the importance of context in probability calculations.

Explanation:

The question involves calculating the probability of specific conditions related to color-blindness and gender. To address both parts of the question:

For part a, the probability that a person is color-blind given that the person is male is directly provided as 69/133. This means out of all males considered, approximately 51.88% have color-blindness.For part b, determining the probability of being male and color-blind would require more specific data, such as the total number of people or the ratio of males to females, and how many among them are color-blind. If we consider the probability for a male to be color-blind is 69/133, this probability is only valid within the male population; it does not directly give us the probability of being both male and color-blind unless the total population is known and the proportion of males within that population is specified.

Understanding probabilities in genetics, like color-blindness, often involves considering various factors including the overall population and specific subgroups within that population (such as males in this case).

A tow truck charges a service fee of $50 and an additional fee of $1.75 per mile. What distance was Marcos's car towed if he received a bill for $71?

Answers

Well since the service fee is $50 that would be subtracted from the bill of $71. So what you would have left is $21 if you 1.75*12=21 so your answer would be 12miles hope I helped!

Final answer:

To find the distance Marcos's car was towed, subtract the service fee from the total bill amount. Then divide the remaining bill amount by the additional fee charged per mile. The distance towed is 12 miles.

Explanation:

To find the distance Marcos's car was towed, we need to subtract the service fee from the total bill amount. The additional fee charged per mile is $1.75, so we can calculate the number of miles towed by dividing the remaining bill amount by $1.75.

Let's assume the distance towed is 'x' miles.

The total bill amount is $71, and the service fee is $50. Therefore, the additional fee charged for the distance towed is $71 - $50 = $21.

So we can write the equation:

$21 = $1.75 * x

To solve for 'x', we divide both sides of the equation by $1.75:

x = $21 / $1.75

x = 12 miles

Therefore, Marcos's car was towed for a distance of 12 miles.

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____ patterns have regular elements spaced at regular intervals.

Answers

Geometric patterns have regular elements spaced at regular intervals. A geometric pattern is created using geometric shapes that repeat themselves. They are often symmetrical. This type of pattern is often found in wallpaper. In certain cultures, they represent unity and order.

the weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grans. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

Answers

full steel: 1.76 pounds
lighter:1.54 pounds

Answer:

Weight of full steel bead tire=1.76 pounds

weight of lighter wheel=1.54 pounds.

Step-by-step explanation:

it is given that:

The weight of a full steel bead tire is approximately 800 grams.

lighter wheel weighs only 700 grams.

Now we are given conversion that:

There are 453.592 grams in one pound.

Hence, 1 gram=1/453.592 pounds.

Hence, weight of a full steel bead tire is:

[tex]\dfrac{800}{453.592}pounds=1.76pounds[/tex]

Also weight of lighter wheel in pounds is:

[tex]\dfrac{700}{453.592}pounds\\\\=1.54 pounds[/tex]

If UV = KL and KL = 6, then UV = 6

Answers

yes thats correct because they all equal eachother Ur right

yeah u r absolutely right

Help please pre calculus

Answers

put 7.6*10^-4 into the given formula as the denominator of the fraction:

10log(1/7.6*10^-4) = 31.19

How to find the equation of an exponential function given two points?

Answers

An exponential function is given by [tex]y=a(b)^x[/tex]

Given two points, (m, n) and (p, q), we find the equation of the exponential function as follows:

[tex]n=a(b)^m \ .\ .\ .\ (1) \\ \\ q=a(b)^p \ .\ .\ .\ (2) \\ \\ \frac{(1)}{(2)} \Rightarrow \frac{n}{q} = \frac{b^m}{b^p} =b^{m-p} \\ \\ \Rightarrow \ln\left( \frac{n}{q} \right)=(m-p)\ln(b) \\ \\ \Rightarrow \ln(b)= \frac{\ln\left( \frac{n}{q} \right)}{m-p} \\ \\ \Rightarrow b=e^{\frac{\ln\left( \frac{n}{q} \right)}{m-p}[/tex]

From (1), we have:

[tex]n=a\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right) \\ \\ \Rightarrow a= \frac{n}{\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)}}[/tex]

Therefore, the equation of an exponential function given two points (m, n) and (p, q) is given by

[tex]y=\frac{n}{\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)}}\left(e^{\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)^x[/tex]

[i.e. you can choose any set of points and substitute the values in the equation above to get the exponential equation]

2y+7x=4;x=5,10,15 PLEASE HELP ASAP!!!!

Answers

Final answer:

To solve the equation 2y+7x=4 for x=5, x=10, and x=15, substitute each value into the equation and solve for y to get y=-15.5, y=-33, and y=-50.5 respectively. It’s important to check the solutions by substituting them back into the original equation.

Explanation:

To solve the given linear equation 2y+7x=4 for different values of x (x=5, x=10, x=15), we need to substitute these values of x into the equation and solve for y. Here’s how it can be done:

For x=5: 2y + 7(5) = 4.
2y + 35 = 4.
2y = 4 - 35.
2y = -31.
y = -31/2.
y = -15.5.For x=10: 2y + 7(10) = 4.
2y + 70 = 4.
2y = 4 - 70.
2y = -66.
y = -66/2.
y = -33.For x=15: 2y + 7(15) = 4.
2y + 105 = 4.
2y = 4 - 105.
2y = -101.
y = -101/2.
y = -50.5.

how can you use the properties of real numbers to simplify algebraic expressions

Answers

A bit of a broad question, but I'll walk through an example of an unsimplified algebraic expression and walk through the properties used to simplify it. There are a lot of properties you apply in your head without even thinking about it! We start with this expression:

[tex](x+4)(x+7)[/tex]

The first property we'll apply is the distributive property, which states in its simplest case that, given three real numbers a, b, and c:

a(b + c) = ab + ac

If x is a real number, then we know that (x + 4) must be a real number too, since the sum of any two real numbers is itself a real number. We can treat this (x + 4) term the same way we treat that number a, and distribute it to the x and the 7, obtaining:

[tex](x+4)(x+7)=(x+4)x+(x+4)7[/tex]

In the next step, we'll reuse the distributive property to further expand our expression, but we have to take note of a subtle detail first:

We originally defined the distributive property with the expression a(b+c); years of experience with the properties of multiplication might have conditioned you to view that expression as equivalent to (b+c)a, but that fact rests upon the application of another property: the commutative property of multiplication, which states in its simplest case that, for any two numbers a and b, ab = ba. a(b+c) and (b+c)a might not be totally equivalent statements, but they have equivalent values. Returning to the problem, we can use the distributive property and the commutative property to expand our expression:

[tex](x+4)x+(x+4)7=(x^2+4x)+(7x+28)[/tex]

From here, we can use the associative property of addition to regroup our terms, allowing us to combine the 4x and the 7x in our next step. In case you forgot, the associative property, in its simplest form, states that, for any three numbers a, b, and c:

(a + b) + c = a + (b + c)

This is what allows us to write expressions like a + b + c without parentheses; the associative property tells us that the order we add the numbers up isn't important.

Regrouping the terms in our expression, we get:

[tex](x^2+4x)+(7x+28)=\big(x^2+(4x+7x)\big)+28[/tex]

To combine the 4x and 7x terms, we again use the distributive property. Note that, by the commutative property of multiplication, the equation

a(b + c) = ab + ac

is equivalent to

(b+c)a = ba + ca

Here, our a is x, and our b and c are 4 and 7. Which means that:

[tex]4x + 7x = (4+7)x=11x[/tex]

Finally, we have our simplified expression:

[tex]x^2+11x+28[/tex]

Seeing the properties applied step-by-step in this way really gives you an appreciation for how foundational they are to algebra!

There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.

Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)

Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)

Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

Answers

Part A)

y = total houses, x = number of years

Neighborhood A y = 30*(1.20)^x

Neighborhood B : y = 45 +3x

Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses

neighborhood B has: 45 +3(5) = 45 +15 = 60 houses

Part C)

30* 1.2^x = 45 +3x =

x = 3.3

check:

30 *1.2^3.3 = 54.75 = 55

45 + 3(3.3) = 45+9.9 = 54.9 =55

so 3.3 years round to 3 years

Answer:

Part A)

y = total houses, x = number of years

Neighborhood A y = 30*(1.20)^x

Neighborhood B : y = 45 +3x

Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses

neighborhood B has: 45 +3(5) = 45 +15 = 60 houses

Part C)

30* 1.2^x = 45 +3x =

x = 3.3

check:

30 *1.2^3.3 = 54.75 = 55

45 + 3(3.3) = 45+9.9 = 54.9 =55

so 3.3 years round to 3 years

Step-by-step explanation:

Two separate single-factor anovas provide exactly the same information that is obtained from a two-factor analysis of variance.
a. True
b. False

Answers

Not 100% sure but I think that it's true

Please help with a multiple choice question!!

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.

Which equations could represent Relationship B?

Select each correct answer.

A) y=1/2x
B)y = 3x
C)y = 2.2x
D)y = 1.4x

Answers

B and C. From graph relationship A = Y/X = (8-4)/(4-2) = 2.
Therefore only options B and C has agreater relationship than Relationship A.

A scale drawing of a kitchen is shown below. The scale is 1 : 20.
Show your work to determine the area of the room in square feet.

Answers

Answer:

Step-by-step explanation:

PLS HELP!

Rohan is checking in poodles for a dog show. A miniature poodle must be between 10 in. and 15 in. at the shoulder. The body length must be no more than 16 in. In addition, the poodle’s shoulder height must be no more than 1 in. longer than its body length.

The graph shows the feasible region, where x represents the poodle’s body length and y represents the shoulder height.

Which ordered pairs meet all the constraints for a successful poodle measurement and make sense in context of the situation?

Select each correct answer.

(15, 11)

(11, 9)

(11, 14)

(10, 12)

(12, 10.5)

Answers

The answers would be
A) (15, 11)
D) (12, 10.5)

Answer:

(15, 11) and (12, 10.5).

Step-by-step explanation:

Let x represents the poodle’s body length and y represents the shoulder height.

A miniature poodle must be between 10 in. and 15 in. at the shoulder.

[tex]10\leq y\leq 15[/tex]

The body length must be no more than 16 in.

[tex]0\leq x\leq 16[/tex]

The poodle’s shoulder height must be no more than 1 in. longer than its body length.

[tex]y\le1+x[/tex]

From the below figure it is clear that only two points (15, 11) and (12, 10.5) lie in the feasible region.

Therefore, ordered pairs (15, 11) and (12, 10.5) meet all the constraints for a successful poodle measurement and make sense in context of the situation.

The measures of the three angles of a triangle are given. Find the value of x and state whether the triangle is acute, obtuse or right. x + 10, x − 20, x + 25

A. x = 25, acute
B. x = 55, acute
C. x = 65, right

Answers

I would say the answer is B x=55, acute

Answer:

x=55 acute

Step-by-step explanation:

Because of the 3-6 theorum of triangles

Help please pre calculus

Answers

put 7.6*10^-4 into the equation:

10log(1/7.6*10^-4)

this equals 31.19 db

A box contains 14 scarves in unique colors. If 4 scarves are picked randomly from the box,__________ different combinations are possible if the order doesn't matter.

Answers

this would be 14C4 = (14*13*12*11) / (4*3*2*1) = 1001

Answer: 363242880

Step-by-step explanation:

We know that the of to calculate the number of combinations, we use the formula :-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex], where n : the total number of items

r: the number of items being chosen at a time.

Given: The total number of scarves contained in a box= 14

The number of scarves picked = 4

The number of different combinations is given by :-

[tex]^{14}C_4=\dfrac{14!}{(14-4)4!}\\\\=\dfrac{14\times13\times12\times11\times10!}{10!4!}\\\\=\dfrac{14\times13\times12\times11}{4\times3\times2}=363242880[/tex]

Hence, If 4 scarves are picked randomly from the box, 363242880 different combinations are possible if the order doesn't matter.

For the following figure, complete the statement for the specified points.
Points A, S, Q, and R are _____.

collinear
coplanar
both collinear and coplanar
neither collinear nor coplanar

Answers

neither collinear or coplanar

Answer:

D. Neither collinear nor coplanar

Step-by-step explanation:

We know that,

Collinear points - are the points which lie in the same straight line.

Coplanar points - are the points which lie in the same plane.

From the figure, we see that,

The points A, S, and R lie in the same line but Q does not lie in the same line.

The points A and Q lie in the same plane but others do not lie in the same plane.

Hence, we get,

These points are neither collinear nor coplanar.

Thus, option D is correct.

Elizabeth bought 4 drinks and some nachos. The nachos cost $6, and she spent a total of $18. How much did each drink cost? Use d to represent the cost of each drink. A. ; each drink cost $4. B. ; each drink cost $6. C. ; each drink cost $2. D. ; each drink cost $3.

Answers

D because 3*4=12 and 18-12=6 so you can buy one nacho

The drink costs $3 for each.

The correct option is (D)

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Number of drinks= 4

Cost of Nachos = $6.

Total money spend =$18

After removing the prices from total money spend, we will get the price for 4 drinks

So, 18-6= $12

Cost for 4 drinks =12

Cost of 1 drink =12/4 = $3

Hence, each drink cost $3.

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what type of figures are shown?Which scale factor changes the small to the large version

Answers

what ar the answer choices

Answer: Kites, 1.5

Step-by-step explanation: Here to help from da interim checkpoint :)

The perimeter of an equilateral triangle is 156 feet find the length of each side

Answers

Answer:

52 feet

Step-by-step explanation:

In an equilateral triangle, all three sides are equal in length.

If we let s represent the length of one side, the perimeter P of the triangle can be expressed as:

[tex]P = 3s[/tex]

Given that the perimeter is 156 feet, we can set up the equation:

[tex]3s = 156[/tex]

To find s, divide both sides of the equation by 3:

[tex]\dfrac{3s}{3}=\dfrac{156}{3}[/tex]

[tex]s=52[/tex]

Therefore, the length of each side of the equilateral triangle is:

[tex]\large\boxed{52 \textsf{ feet}}[/tex]

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