A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?

Answers

Answer 1

Answer:

[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

Step-by-step explanation:

In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.

If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...

[tex]\frac{5 *17}{40 * 20}[/tex] = [tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified


Related Questions

How long will it take you to double an amount of $500 if you invest it at a rate of 4% compounded monthly?

Answers

Answer:

Number of year = 17 year 4 month (Approx.)

Step-by-step explanation:

Given:

Current amount = $500

Future amount = 2 x 500 = $1,000

Rate of interest = 4%

Find:

Number of year

Computation:

Rate [Monthly] = 4% / 12 = 0.00333

Total time = 12 x n = 12n

A = P[1+r]¹²ⁿ

1000 = 500[1+0.003333]¹²ⁿ

2 = [1+0.003333]¹²ⁿ

2 = [1.003333]¹²ⁿ

Number of year = 17.358

Number of year = 17 year 4 month (Approx.)

What is the answer to the question?can you help me solve

Answers

The answer is 4 or A! Hope this helps!
it would be A.4

because when it’s by the power of two it means times itself again. ex.
4x4=16
4^2=16
16+3=19

(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !

Answers

Answer:

As decimal 20.5833333333

As fraction [tex]20[/tex] [tex]\frac{7}{12}[/tex]

mark me as brainliest if right :)

Step-by-step explanation:

Conversion a mixed number 10 2/

3

to a improper fraction: 10 2/3 = 10 2/

3

= 10 · 3 + 2/

3

= 30 + 2/

3

= 32/

3

To find new numerator:

a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/

3

= 30/

3

b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32

c) Write a previous answer (new numerator 32) over the denominator 3.

Ten and two thirds is thirty-two thirds

Conversion a mixed number 9 11/

12

to a improper fraction: 9 11/12 = 9 11/

12

= 9 · 12 + 11/

12

= 108 + 11/

12

= 119/

12

To find new numerator:

a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/

12

= 108/

12

b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119

c) Write a previous answer (new numerator 119) over the denominator 12.

Nine and eleven twelfths is one hundred nineteen twelfths

Add: 32/

3

+ 119/

12

= 32 · 4/

3 · 4

+ 119/

12

= 128/

12

+ 119/

12

= 128 + 119/

12

= 247/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.

PLEASE HELP!!!!!! !!!:!;!!;!

Answers

Answer: the dark blue one

Step-by-step explanation:

iready question 8 which graph does not represent a function​

Answers

Answer:

The one that makes a circle

Step-by-step explanation:

Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles

Answers

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

What two numbers equal 6 when multiplied but equal —7 when added?

Answers

Answer:

-1 , -6

Step-by-step explanation:

Let x be the first number and let y be the second number.

x * y = 6

x + y = -7

Let's first find the factor pairs of 6.

1, 6

2, 3

-1, -6

-2, -3

Now, we just need to take each factor pair and add them together and see which one equals -7.

1 + 6 = 7, so that is wrong.

2 + 3 - 5, so that is also wrong.

-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).

Therefore, our answer is -6 and -1.

The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers. What is the actual distance between these two cities in kilometers?

Answers

Answer:

82.5 kilometers

Step-by-step explanation:

15×5.5= 82.5 kilometers

I don’t understand what to do because this is worded very strangely. Could somebody help?

In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are
summarized in the following table

Is there evidence that college students who don't own a car tend to not live on campus more than students who live on
campus?

A. Yes, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.

B. Yes, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.

C. No, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.

D. No, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.

Answers

The correct answer is C.

If you look at the table, you’ll see that most people without a car live on campus, meaning the percentage of no-car-off-campus is less than the percentage of no-car-on-campus

Describe the correct answer to this problem including units what is the surface area of the figure

Answers

Answer:

       A = 22.5π ft² ≈ 70.686 ft²

Step-by-step explanation:

A = π×(2.5)² + π×2.5×6.5 = 6.25π + 16.25π = 22.5π ≈ 70.686 ft²

{6.5 ft is not a height, it's slant length}

write 7.5^{1.25} as a radical

Answers

Answer:

[tex]\sqrt[4]{7.5^{4} }[/tex]

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]7.5^{1.25}[/tex]

= [tex]7.5^{\frac{5}{4} }[/tex]

= [tex]\sqrt[4]{7.5^{4} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

What are exponent rules?

Exponent rules, which are also known as the 'laws of exponents' or the 'properties of exponents' make the process of simplifying expressions involving exponents easier. These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents.

Given

[tex]7.5^{1.25}[/tex]

We can write 1.25 is [tex]\frac{5}{4}[/tex]

[tex]7.5^{\frac{5}{4} }[/tex]

Using the rule of exponents/radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

[tex]7.5^{\frac{5}{4} }[/tex] = [tex]\sqrt[4]{7.5^{5} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

Find out more information about rule of exponents here

https://brainly.com/question/14513824

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Which equation describes the circle
with center (5,-1) and radius 7?
A (x - 5)' + (y +1)* = 7
B (x - 5)* + (y + 1)* = 49
(x + 5) * + (y - 1) = 7
D(x + 5)' + (y - 1)' = 49

Answers

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]

So the answer is B choice.

Evaluate a + 4 when a =7

Answers

Answer:

11

Step-by-step explanation:

7 + 4 = 11

Answer:

11

Step-by-step explanation:

If a = 7, then a + 4 = 7 + 4 = 11

Hope that this helps!

Determine the lateral surface area and the total surface for the pyramid. Round your answer to the nearest whole number.


Separate your answers with a comma.

Answers

Answer:

[tex]L = 704[/tex]

[tex]S = 832[/tex]

Step-by-step explanation:

Given

[tex]H = 22[/tex] --- Height

[tex]W = 8[/tex] --- Width

[tex]L=8[/tex] ---- Length

Solving (a): The lateral surface area (L)

This is calculated as:

[tex]L = 2 * (L + W) * H[/tex]

This gives:

[tex]L = 2 * (8 + 8) * 22[/tex]

[tex]L = 2 * 16 * 22[/tex]

[tex]L = 704[/tex]

Solving (b): The total surface area (T)

This is calculated as:

[tex]S = 2 * (LW + WH + LH)[/tex]

This gives:

[tex]S = 2 * (8*8 + 8*22+ 8*22)[/tex]

[tex]S = 2 * (64 + 176+ 176)[/tex]

[tex]S = 2 * 416[/tex]

[tex]S = 832[/tex]

Determine which of the two acute angles has a cosine of 4/5.

Answers

Answer:

CosA = 4/5

Step-by-step explanation:

The acute angle with cosine of 4/5

Recall from trigonometry ;

Cosine = Adjacent / hypotenus

From the right angled triangle Given:

For angle A :

Opposite = BC = 8

Hypotenus = AC = 10

Cos A = BC / AC = 8 /10 = 4 /5

CosA = 4/5

For C :

Opposite = AB = 6

Hypotenus = AC = 10

Cos C = 6 /10 = 3 /5

Number of Movies Watched per Month 10, 8, 4, 2, 6, 8, 9 What is the median of the data set

Answers

Answer:

8

Step-by-step explanation:

first you put the data in order :

2 , 4 , 6 , 8 , 8 , 9 , 10

then the middle number in the data is the median which in this case is 8 ( if you've got 2 middle numbers then you add both of them and divide by 2 )

Hi guys it's nothing much but please help me out for braniest and 50 points NO LINK'S thank you​

Answers

Answer:

Step-by-step explanation:

1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.

2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.

5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.

Answer:

4.ADE /// ABC (same <s)

<D = <B (corresponding <s)

<E = <C (corresponding <s)

ADE and ABC share A as the same < so all <s are = (AAA )

A circle has a radius of 6 cm. What is the area of the circle in terms of π?

Answers

Answer:

okay shdirnsjsjjsjjddjdjjdjdjjdddjd

You have a can that is in the shape of a cylinder. It has a volume of about 1,728 cubic centimeters. The height of the can is 22 centimeters. What is the approximate length of the radius? Use 3.14 for pi.

Answers

Answer:

v=pi.r^2.h

1728=3.14*22r^2

1728/69.08=r^2

r^2=25.0144

r=5

Circle any part of this problem where you see a mistake (there is at least one) then explain why it was a mistake in the textbox and type in the correct answer.

Answers

Answer:

Circle the -3 or the -2 in the final product

Step-by-step explanation:

If you multiply it out, the last terms are -2 and -3 which equal 6, not negative 6 so, that would be wrong factoring.

A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd

Answers

Answer:

4th

Step-by-step explanation:

string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.


Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each
statement.​

Answers

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]H = 21[/tex]

[tex]T = 9[/tex]

See attachment for complete question

Required

[tex]P(H)[/tex]

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

[tex]S =\{H,T\}[/tex] --- sample space

[tex]n(S) = 2[/tex] --- sample size

[tex]n(H) = 1[/tex] --- occurrence of Head

So, the theoretical probability is:

[tex]Pr = n(H)/n(S)[/tex]

[tex]Pr = 1/2[/tex]

[tex]Pr = 0.50[/tex]

can i please have help ill give brainlist (pic below)

Answers

Answer:

A

Step-by-step explanation:

Because we are reflecting across the X-axis, the X coordinate does not change. On the other hand, the Y coordinate becomes its opposite. So we get:

(2, 4) -> (2, -4)

Answer:

I believe the answer is B

Step-by-step explanation:

For a linear regression, what is the r-value of the following data to three
decimal places?
х
у
1
4
2
6 9
11
10
16
12
14
A. 0.665
B. -0.816
C. 0.816
D. -0.665

Answers

For a linear regression,

the value of r of the following data to three decimal places is 0.816.

The correct option is C.

What is a correlation coefficient?

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

A table is given.

For a linear regression analysis.

The calculation for mean and their sum is given in the attached image.

And the value of r is 0.816.

Therefore, the value of r is 0.816.

To learn more about the correlation coefficient;

https://brainly.com/question/15577278

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Austin drove 819 miles in 13 hours. At the same rate, how long would it take him to drive 693 miles?

Answers

Answer:

11 hours

Step-by-step explanation:

819 miles/13 hours = 63 mph

693 miles/63 mph = 11 hours

hey! i’ll give brainliest please help!

Answers

Answer:

Iran

Step-by-step explanation:

Answer:

Iran

Step-by-step explanation:

Empire that dominated Mesopotamia from about 550 to 330 BCE. Most of the ancient Persian empire is in modern-day Iran.

If this helped, please give brainliest!

a letter in the word restoration is randomly selected. what is the probability of selecting a vowel

Answers

5/11 of the probability

The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.

Answers

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is [tex]25^{\circ}[/tex]

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]

Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.

Answers

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

Answer:

The foam rolls across the lonely ocean. : Consonance  
I can't forget the letter that you sent last night: Consonance

In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance

Step-by-step explanation:

Hope this helps :D

i need help on this question please help

Answers

Answer:

The area of each figure is:

Area of the rectangle = 10 square units.Area of the triangle = 10 square units.Area of the figure = 20 square units.

Step-by-step explanation:

To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:

Area of a rectangle = width * heightArea of a rectangle = 2 units * 5 unitsArea of a rectangle = 10 square units

Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:

Area of a triangle = (base * height) / 2Area of a triangle = (4 units * 5 units) / 2Area of a triangle = (20 square units / 2Area of a triangle = 10 square units

And we obtain the area of the whole figure when we add the two areas:

Area of the figure = area of the triangle + area of the rectangleArea of the figure = 10 square units + 10 square unitsArea of the figure = 20 square units.

As you can see, the area of the picture is 20 square units.

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