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?

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:

Answer:

82.5 kilometers

Step-by-step explanation:

15×5.5= 82.5 kilometers

Answer:

The area of each figure is:

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:

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

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

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

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].

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

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Answer:

okay shdirnsjsjjsjjddjdjjdjdjjdddjd

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.

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.)

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.

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]

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]

Answer:

v=pi.r^2.h

1728=3.14*22r^2

1728/69.08=r^2

r^2=25.0144

r=5

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!

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.

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

For a linear regression,

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

The correct option is C.

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.

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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 )

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

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]

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!

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.

Answer:

11 hours

Step-by-step explanation:

819 miles/13 hours = 63 mph

693 miles/63 mph = 11 hours

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 )

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]

Answer: the dark blue one

Step-by-step explanation:

Answer:

The one that makes a circle

Step-by-step explanation:

Answer:

As decimal 20.5833333333

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

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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.

Answer:

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}