Given that a randomly chosen card from a standard deck of 52 cards is less
than 7, what is the probability it is the 5 of diamonds? Assume that aces are
low cards.

Answer:

20.

Step-by-step explanation:

60 - 40 = 20

Answer:

There are 5 prime numbers between 40 and 60.

Step-by-step explanation:

A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.

Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.

Step-by-step explanation:

copy from there that right answer if need more then follow me Bhai or send me money

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer:

Step-by-step explanation:

two ways of representing a relationship between quantities.

Answer:

D 20%

try it its easy bro

Answer: B. Sameer did not use the correct equation

Step-by-step explanation:

12 IS three-fourths OF x

IS: equals

OF: multiplication

\(12=\dfrac{3}{4}x\)

48 = 3x

16 = x

Answer:

it's b in Edg

Step-by-step explanation:

Answer:

1.05

Step-by-step explanation:

Because 30% of 70 is \(30\% \times 70 = \frac{30}{100} \times 70 = 0.3 \times 70 = 21\), so the question becomes "21 is what percent of 2000?"

To answer this, we can solve for \(x\) in the equation \(21 = x\% \times 2000\), which is:

\(21 = x\% \times 2000\\21 = \frac{x}{100} \times 2000\\21 = 20x\\x=\frac{21}{20}=1.05\)

So the answer is 1.05 percent.

Answer:

area=432

Step-by-step explanation:

use the Pythagoras theory now that you know the width and you'll get the length and the width then you multiply both of them hope it helps you.

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

The smaller number is 6 .

The larger number is 22

Let's let x be the smaller number and y be the larger number.

From the problem, we know that one number is eight less than five times the other, so we can write:

y = 5x - 8

We also know that the sum of the two numbers is 28, so we can write:

x + y = 28

Now we have two equations in two variables. We can solve for one of the variables in terms of the other, and substitute that expression into the other equation to eliminate one variable.

Let's solve the first equation for x

x = (y + 8)/5

Now we can substitute this expression for x into the second equation:

(y + 8)/5 + y = 28

Multiplying both sides by 5 to eliminate the fraction, we get:

y + 8 + 5y = 140

Combining like terms, we get:

6y + 8 = 140

Subtracting 8 from both sides, we get:

6y = 132

Dividing both sides by 6, we get:

y = 22

Now we can use the equation y = 5x - 8 to solve for x:

22 = 5x - 8

Adding 8 to both sides, we get:

30 = 5x

Dividing both sides by 5, we get:

x = 6

Therefore, the smaller number is 6 and the larger number is 22.

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Answer:

I think it's C. , but I'm not too sure . You should double check to see if it's correct.

It can only go into 19 twice.

go any further and it'll turn into a decimal.

and the remainder is 5.

Answer:

2 times.

Step-by-step explanation:

7 can go into 19, 2 times.

the remainder will be 5 maybe try turning into a decimal or fraction.

Answer:

Step-by-step explanation:

1/4 * 2/3 = 2 / 12 = 1/6

The results of the x-intercept and y-intercept results from above (39.5, 0) and (x1, y1) and (x2, y2) (0,26.333)

2x + 3y = 79

2x + 3(0) = 79

x1 = 39.5 y1 = 0

the y-intercept

Where the graph crosses the y-axis is known as the y-intercept. We first solve for y before setting x2=0 to determine the y-intercept.

2x + 3y = 79

2(0) + 3y = 79

y2 = 26.333

x2 = 0

To draw a straight line on a graph, you must get two graph points. The format for the plot coordinates is (x1,y1) and (x2,y2).

Thus, we can obtain the graph plots for 2x + 3y = 79 as follows using the results of the x-intercept and y-intercept results from above:

(39.5, 0) and (x1, y1) and (x2, y2) (0,26.333)

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The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Considering the interest on each amount, the amount borrowed from the first bank is $6,000 and from the second bank is $14,000.

Let's call the amount borrowed from the first bank "x" and the amount borrowed from the second bank "y". We know that:

x + y = $20,000 (the total amount borrowed)

We also know that the total interest paid is $1845 and the interest rate for the first bank is 3% and the interest rate for the second bank is 3.5%

To find the interest paid by each bank, we can use the formula for simple interest:

Interest = Principal x Interest Rate x Time (in years)

From the first bank, we can calculate the Interest paid as:

x * 0.03 * 3 = 0.09x

From the second bank, we can calculate the Interest paid as:

y * 0.035 * 3 = 0.1025y

We know that the sum of the interest paid from the two banks is $1845

0.09x + 0.1025y = 1845

We know that the sum of the amount borrowed from the two banks is $20,000

x+y = 20000

so we have two equations:

0.09x + 0.1025y = 1845

x + y = 20000

We can solve this using the method of elimination or substitution.

x = (1845 - 0.1025y)/0.09

and then substitute it to the second equation

(1845 - 0.1025y)/0.09 + y = 20000

Solving the equation we get y = $14,000 and x = $6,000

So the amount borrowed from the first bank is $6,000 and from the second bank is $14,000.

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Answer:

C

good luck, i hope this helps :)

Answer:

point C

Step-by-step explanation:

point C is 7 to the right and 1 up from D

Answer:

a. 10

b. -45

c. -32

e. -320

g. 24

i. 480

k. 36

d. 48

f. -132

h. 126

j. 216

1. 168

Step-by-step explanation:

a. 5×2=10

b. -(5×9)= -45

c. -(4×8)= -32

e. -(32×10)= -320

g. 3×2×4=6×4=24

i. 4×6×2×10= 240×2= 480

k. 6×6=36

d. 4×12=48

f. -(12×11)= -132

h. 7×9×2=126

j. 6×9×4

1. 8×7×3

Answer:

$14.55

Step-by-step explanation:

that is the total cost of the snax

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

a) 8780

c) i) 1159

   ii) 1990

d) 9611

Step-by-step explanation:

a) What was the total number of workers at the beginning

Solution:

Total number of workers at the beginning

= 2340 + 3455 + 675 + 960 + 1350

= 8780

c) How many people: i) Lost job

Solution:

The first company laid off 1 worker for every 5 workers,

Workers employed were 2340 and 1 worker laid for every 5 workers. So,

2340/5 = 468

Hence 468 lost job in first company.

If you see the statement while the other three recruited 2 new workers for every 3. Assuming that the first two companies laid off 1 worker for every 5 workers, then for the second company:

Workers employed were 3455 and 1 worker laid for every 5 workers. So,

3455 / 5 = 691

Hence 468 lost job in second company.

Now total workers that lost job:

468 + 691 = 1159

ii) Got job

Solution:

As the other three companies recruited 2 new workers for every 3. Thus the number of people who got job in these three companies are:

= (675 * 2 + 960 *2 + 1350 *2) / 3

= (1350 + 1920 + 2700) / 3

= 5970 / 3

= 1990

Hence 1990 people got the job.

d) What was the total number of workers finally

Solution:

Total number of workers:

8780 number of workers at the beginning

1159 from companies who lost job

1990 from companies who got job

So adding the workers who got job in the workers at beginning and subtracting the workers who lost job we get:

total number of workers finally:

= 8780 + 1990 - 1159

= 9611

Hence total number of workers finally are 9611.

Answer:

It's distributive property.

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

Answer:

Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.

Step-by-step explanation:

this is how you work it out with the net

Answer:

You must lay out the net, find the area of each shape and multiply, and then add each dimension.

Step-by-step explanation:

I think there should be 5 capsicums because

4 times onions = 5 x 4 = 20

Then 5 capsicums = 20 + 5 = 25

Answer:

A large pizza has toppings of capsicum and onion. In total there are 36 pieces of both on the pizza .If there are 5 times as many onions pieces as capsicum pieces,how many of each vegetable are there on the pizza?

Step-by-step explanation:

Can you please help with this one

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

Step-by-step explanation:

Given the sequence \(a_n = \frac{9+14n^{2} }{n+15n^{2} }\)

To find the limit of the sequence, we will first divide the numerator and the denominator through by the highest power of n which is n² as shown;

\(\lim_{n \to \infty} \frac{9/n^{2} +14n^{2}/n^{2} }{n/n^{2} +15n^{2}/n^{2} }\\ \lim_{n \to \infty} \frac{9/n^{2} +14 }{1/n +15n^{2}/n^{2 }}\\\)

As \(n\) tends to \(\infty\), \(\frac{a}{n}\) tends to zero where n is any constant, The limit of tyhe sequence as n tends to infinity becomes;

\(= \frac{9/\infty+14 }{1/\infty+15 }\\= \frac{0+14}{0+15} \\= 14/15\\\)

Therefore \(\lim_{n \to \infty} \frac{9+14n^{2} }{n+15n^{2} } = 14/15\)

Since the limit of the sequence gave a finite number , the sequence converges.

Note that the only case when the sequence diverges id when the limit of the sequence is infinite

Answer:

b = r(sy/sx)

Step-by-step explanation:

The sign of the slope Coefficient and the correlation are the same because both the slope and correlation Coefficient evaluates the changes in one variable with respect to the other . A decrease in y as x increases will result in a negative slope value and also a negative correlation Coefficient. While increase in x which results in the increase in y imvariable will result in a positive correlation Coefficient value and r value.

Slope, b = correlation Coefficient,r (Sy /Sx)

Sx = standard deviation of x values

Sy = standard deviation of Y Values

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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