) what is the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher?

Answer:

The numbers on this ruler represent centimeters. 1.70cm

What is the precision of this ruler?

What is the greatest possible error for the measurement indicated by the arrow?

What is the margin of error for the measurement based on where the arrow is pointing on the ruler?

Step-by-step explanation:

The required solutions are,

0.1 cm is the precision of this ruler
0.05 cm is the greatest possible error for the measurement indicated by the arrow.
1.65 cm to 1.75 cm is the margin of error for the measurement based on where the arrow is pointing on the ruler

A ruler is a mathematical tool, used to measure the lengths of objects.
Rulers are calibrated into various units of measurement such as meters, centimeters, and milimeters, etc.

Here,
A scale is given for 10cm measurements and an arrow is pointed over 1.70 cm on the ruler,

0.1 cm is the precision of this ruler because every line on the ruler is 0.1 cm of measurement.
0.05 cm is the greatest possible error for the measurement indicated by the arrow.
1.65 cm to 1.75 cm is the margin of error, because the error could arise to the nearest point on the ruler, for the measurement based on where the arrow is pointing on the ruler,

Thus, solutions for the given problem are described above.

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Answer:

$27

Cost = 20 + 1x = 20 + x

Step-by-step explanation:

Membership fee is $20 per month. This amount has to be paid whether he buys pizzas or not that month

If x is the number of pizzas, the total cost for 7 pizzas at discounted price of $1 is  20 + 7 x 1 = $27

For  x pizzas, the equation is

Cost = 20 + x

Answer:

3/6

Step-by-step explanation:

Answer and Step-by-step explanation:

Trigonometric Function (These only work for right triangles):

SOH-CAH-TOA

S = Sine = sin

C = Cosine = cos

T = Tangent = tan

O = Opposite (side)

H = Hypotenuse (side)

A = Adjacent (side)

SOH = sin(angle) = \(\frac{opposite}{hypotenuse}\)

CAH = cos(angle) = \(\frac{adjacent}{hypotenuse}\)

TOA = tan(angle) = \(\frac{opposite}{adjacent}\)

1. sinQ (Q is the angle) = \(\frac{14}{50} = \frac{7}{25} = 0.28\)

Use Pythagorean Theorem to find side PQ.  \(14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48\)

2. cosQ = \(\frac{48}{50} = \frac{24}{25} = 0.96\)

3. tanQ = \(\frac{14}{48} = \frac{7}{24} = 0.29\)

An inequality for the number of sales you need to make is: 92 + 4s ≥ 200, and the solution of given inequality is s ≥ 27.

The correct answer is an option (E)

In this question, we have been given that as  a salesperson, you are paid $92 per week plus $4 per sale. This week you want your pay to be at least $200.

We need to write an inequality for the number of sales you need to make, and describe the solutions.

Let x be the number of sales.

Your pay $92 per week plus $4 per sale.

This week you want your pay to be at least $200.

So, we get an inequality.

92 + 4s ≥ 200

We solve above inequality.

92 + 4s -92 ≥ 200 - 92

4s ≥ 108

4s/4 ≥ 108/4

s ≥ 27

Therefore, an inequality for the number of sales you need to make is: 92 + 4s ≥ 200, and the solution of given inequality is s ≥ 27.

The correct answer is an option (E)

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Answer:

cos 315°   =   45° reference angle in the 4th quadrant =  √2 /2

And sin 315°    is the negative of this

So  

z = (3) cos 315°  + ( 3i ) sin 315°  =

[   (3/2)√2  ,  - (3/2) √2 i  ]

The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

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Answer:

3,500

Step-by-step explanation:

700,000/200

7,000/2

3,500

Answer:

Step-by-step explanation:

ok so the answer is really simple

is above               below

0.5                         -13

100                          -2.25

5.5

The length of diagonal of the checkerboard is \(40\sqrt{2} cm\).

The Pythagoras theorem can be applied to a right angle triangle. It states that the square of hypotenuse is equal to sum of square length of base and height of the triangle. Mathematically: Hypotenuse² = Perpendicular² + Base². The diagonal of a square divides the square in two right triangles.

The each side of a checkerboard measures 40 cm, that means checkerboard is a square. So, applying the Pythagoras theorem in the triangle formed by diagonal and two sides of square,

\(D^2=S^2+S^2\\D^2=40^2+40^2\\D=40\sqrt{2} cm\)

Where D is the length of diagonal and S is the length of side of checkerboard.

Therefore, the length of the diagonal of checkerboard is \(40\sqrt{2} cm\).

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The equation of the asymptote for function f(x) is y = 0.

The equation of the asymptote for function g(x) is x = a, where a is a constant.

The equation of the asymptote for function h(x) is y = mx + b, where m and b are constants.

For function f(x), the asymptote is y = 0 since the function approaches zero as x approaches positive or negative infinity.

For function g(x), the asymptote is a vertical line at x = a. This occurs when the function approaches a specific x-value but does not cross it.

For function h(x), the asymptote is a straight line represented by y = mx + b. This occurs when the function approaches a linear relationship as x approaches positive or negative infinity. The values of m and b depend on the slope and y-intercept of the asymptote, respectively.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

Answer:

- 125

Step-by-step explanation:

\((-5)^{3}\)

= - 5 × - 5 × - 5

= 25 × - 5

= - 125

Answer:

-125

Step-by-step explanation:

-5^3= -5x-5x-5

-5^2=-5x-5= 25

25x-5=-125

The t-statistic for the two-sample t-test is computed as: T = (x1 - x2) / [s² * (1/n1 + 1/n2)]

Where: x1 and x2 are the sample means,s² is the pooled variance, and n1 and n2 are the sample sizes.

The statistic for the hypothesis test that compares two independent groups is known as the two-sample t-test. When using high-school students as sample one and college students as sample two, the statistic for the hypothesis test is a two-sample t-test.

A two-sample t-test is a statistical hypothesis test that compares the mean of two independent samples. It assesses whether the difference between the means of two groups is statistically significant or whether the difference is due to chance.

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Answer:  b

Step-by-step explanation:

I think

Answer:

51

Step-by-step explanation:

x + y + z  = 0   →-  -(x + y)  = z  →   z^3 =  - (x^3 + 3x^2y + 3xy^2 + y^3)

xyz  = 17

xy [ -(x + y) ]  = 17

xy (x + y)  = -17  →  x^2y + xy^2  = -17  →  3x^2y + 3xy^2  = -51

So......

x^3  + y^3  +  [ z^3 ]

x^3  + y^3  +  [ -  ( x^3 + 3x^2y + 3xy^2 + y^3) ]  =

-3x^2y - 3xy^2  =

-[ 3x^2y + 3xy^2]  =

- [-51]  =

51

please rate 5 stars

Answer:

m< JKL = 63°

m< MKL = 27°

Step-by-step explanation:

(12x+3) + (6x-3) =90°

18x = 90

x= 90/18

x=5

m< JKL (12x+3) = 12(5)+3=60+3=63

m< MKL (6x-3)=6(5)-3=30-3=27

I hope I helped you^_^

Answer:

Sum of arithmetic series is \(2077\)

Step-by-step explanation:

We have \(n\)th term of arithmetic sequence

\(a+(n-1)d\)

Here

\(a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4\)

Sum of arithmetic sequence \(=\frac{n}{2} (2a+(n-1)d)\)

\(=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077\)

Answer:

The sum of arithmetic series is 2077.

Step-by-step explanation:

Solution :

Here we have provided that :

We need to find :

Here's the required formula to find the sum of arithmetic series :

\(\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}\)

Substituting all the given values in the formula to find the sum of arithmetic series :

\({\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}\)

\({\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}\)

\({\longrightarrow{\sf S = 31 \times 67}}\)

\({\longrightarrow{\sf S = 2077}}\)

\(\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}\)

Hence, the sum of arithmetic series is 2077.

\(\rule{300}{1.5}\)

The First equation and the Third Equation

are equivalent to 6x - 24.

1) 6 ( x - 4 )

3)3 ( 2x - 8 )

Answer:

first one and third one. hope u get it right!

Step-by-step explanation:

6(x-4)

distribute (6*x and 6*4) then it equals 6x - 24

2(3x - 24) = 6x - 48

3(2x - 8) = 6x - 24

3(3x - 21) = 9x - 63

Answer:

2(a+2b+15)

Step-by-step explanation:

hope this helps!

Answer:

A=342 ft^2 (dark section)

A = 108 ft^2 (light section)

Step-by-step explanation:

18 x 25 = 450

9 x 12 = 108

450-108= 342

Answer:

A=342 ft^2 (dark section)

A = 108 ft^2 (light section)

Step-by-step explanation:

To calculate the length of the curve defined by r(t) = 〈2 cos(t), 2 sin(t)〉 with the domain -π/2 ≤ t ≤ π/2, we need to find the arc length using the following formula:

Arc length = ∫(from a to b) ||r'(t)|| dt

First, let's find the derivative r'(t) of the given vector function r(t):

r(t) = 〈2 cos(t), 2 sin(t)〉
r'(t) = 〈-2 sin(t), 2 cos(t)〉

Next, find the magnitude ||r'(t)|| of the derivative vector:

||r'(t)|| = √((-2 sin(t))^2 + (2 cos(t))^2)
||r'(t)|| = √(4 sin^2(t) + 4 cos^2(t))

Factor out 4:

||r'(t)|| = √(4(sin^2(t) + cos^2(t)))

Since sin^2(t) + cos^2(t) = 1:

||r'(t)|| = √(4) = 2

Now, we can find the arc length by integrating ||r'(t)|| over the given domain:

Arc length = ∫(from -π/2 to π/2) 2 dt

To integrate, simply multiply the constant by the difference in t:

Arc length = 2(π/2 - (-π/2)) = 2(π) = 2π

So, the length of the curve is 2π.

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Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

Answer: This is a geometric sequence, because each term is obtained by multiplying the previous term by a constant ratio. In this case, the ratio is -2.

To find the 9th term, we can use the formula for the nth term of a geometric sequence:

a_n = a_1 * r^(n-1)

where:

a_n is the nth term of the sequence

a_1 is the first term of the sequence (9)

r is the common ratio (-2)

n is the term number (9)

Plugging in the values:

a_9 = 9 * (-2)^(9-1) = 9 * (-2)^8 = 9 * -256 = -2304

So the 9th term of the sequence is -2304

To express g as an external and internal direct product of cyclic groups, we need to first determine the prime factorization of 96, which is:

96 = 2^5 * 3

We can see that 2 and 3 are relatively prime, which implies that the group of integers modulo 96 is isomorphic to the direct product of the groups of integers modulo 2^5 and 3, that is:

Z_96 ≅ Z_32 x Z_3

We can now use this isomorphism to express g as a direct product of cyclic groups.

External Direct Product:

To express g as an external direct product of cyclic groups, we need to find a subgroup of Z_96 that is isomorphic to the direct product of cyclic groups whose orders multiply to 96. Since 96 = 2^5 * 3, we need to find cyclic groups of orders 2^k and 3^j such that 2^k * 3^j = 96. One such subgroup is:

H = <23> x <7>

where <23> is the cyclic subgroup generated by 23 and <7> is the cyclic subgroup generated by 7. We can check that H is a subgroup of g and that |H| = |<23>| * |<7>| = 8 * 2 = 16, which divides the order of g. Therefore, we can write:

g ≅ H x <1>

where <1> is the trivial subgroup generated by 1.

Internal Direct Product:

To express g as an internal direct product of cyclic groups, we need to find subgroups of g that are cyclic and whose orders multiply to 96. One such set of subgroups is:

H1 = <1> x <7> x <17> x <23>

H2 = <1> x <49> x <55> x <65> x <71>

We can check that H1 and H2 are subgroups of g and that |H1| = 2 * 2 * 4 * 8 = 64 and |H2| = 2 * 6 * 8 = 96, which multiply to 96 and divide the order of g. Therefore, we can write:

g ≅ H1 x H2

where H1 and H2 are the cyclic subgroups generated by the elements in each set, respectively.

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Given that quadrilateral ABCD is similar to quadrilateral EFGH.

So, their corresponding sides will be in proportion.

Therefore,We can write the similarity ratio as:AB/EF = BC/FG =

CD/GH = DA/HEAlso, we know that the quadrilateral ABDC is similar to the quadrilateral EFGH.

The corresponding sides of ABDC and EFGH are in proportion,

we get:AB/EF = BC/FG = CD/GH = DA/HE From this, we can say that:BC/FG = AB/EF => FG = BC × EF / ABNow, we need to find FG.

We are given that:ABCD ~ EFGH => AB/EF = BC/FG => 14/9 = 5/FG=> FG = 5*9/14=> FG = 3.21 (rounded to the nearest tenth)Therefore, the measure of side FG is 3.2 units (approx) or 3.21 units (rounded to the nearest tenth) .

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