Draw this: 2 x 1 1/2

Answer:

14 paychecks

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

Therefore , he must save for 14 paychecks

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Answer:

14

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Hope this help

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Tysm

Answer:

x=13

Step-by-step explanation:

little marks show that

eh and hg are the same size so

angle e and g are the same

angle h has a red box which means its 90 degrees

that means angle e and angle g are 45 degrees each

3x+6=45

3x=39

x=13

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

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Step-by-step explanation:

True. Statistical process control is commonly used in service industries, including blood testing labs, to monitor and analyze processes and determine normal levels of variation.

These normal levels of variation are often used as the basis for setting specifications and determining if a process is in control or out of control. Therefore, they can be considered the "voice of the specification" in service industries.

True. Statistical process control is used in service industries like a blood testing lab to determine normal levels of variation. Normal levels of variation are considered the voice of the specification. This helps to maintain quality and control the process.

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After analyzing the logical structure of both statements, we can say that statement (a) and statement (b) are logically equivalent.

Let's analyze the statements to determine their logical equivalence.

Statement (a): Bob is majoring in both math and CS, and Ann is majoring in math, but Ann is not majoring in both math and CS.

Statement (b): It is not the case that Bob and Ann are majoring in both math and CS, but it is the case that Ann is majoring in math and Bob is majoring in both math and CS.

In statement (a), we have Bob majoring in both math and CS, and Ann majoring in math but not majoring in both math and CS. This can be represented as (Bob ∧ Ann ∧ Math ∧ ¬(Math ∧ CS)).

In statement (b), it is not the case that Bob and Ann are majoring in both math and CS, but it is the case that Ann is majoring in math and Bob is majoring in both math and CS. This can be represented as (¬(Bob ∧ Ann ∧ Math ∧ CS) ∧ Ann ∧ Math ∧ Bob ∧ (Math ∧ CS)).

When we simplify both statements, we find that they are equivalent:

Statement (a): (Bob ∧ Ann ∧ Math ∧ ¬(Math ∧ CS))

Statement (b): (¬(Bob ∧ Ann ∧ Math ∧ CS) ∧ Ann ∧ Math ∧ Bob ∧ (Math ∧ CS))

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The radius of the inscribed circle of triangle XYZ is 4.5 units.

The intersection point of angle bisectors is called the

in-center of the triangle while the intersection point of perpendicular bisectors is called the circumcenter of the circle.

The radius of the inscribed circle is the length of the perpendicular drawn from the incenter to the sides of the triangle.

In the given diagram, A will be the incenter while C will be the circumcenter.

So, the length of the perpendicular drawn from A to side XZ =AB =4.5units

So, the radius of the inscribed circle of triangle XYZ=4.5 units

Therefore, the radius of the inscribed circle of triangle XYZ is 4.5 units

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Answer:

4.5

Step-by-step explanation:

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

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Answer:

C

Step-by-step explanation:

C. Is the correct answer because the lower the layer, the older it is. For example, Sandstone is older than shale since sandstone is below shale. Since Limestone is below shale, shale is YOUNGER than limestone.

Answer:

13

hope this helps you

The measure of the missing length is 32

To determine the value of the missing side of the triangle, we need to know the Pythagorean theorem

The Pythagorean theorem is a mathematical theorem stating that the square of the longest side of a given triangle is equal to the sum of the squares of the other two sides of the triangle

From the information given, we have that;

40² = x² + 24²

Collect the like terms, we have;

40²- 24² = x²

Find the square values, we have;

x² = 1600 - 576

subtract the values, we get;

x² = 1024

Find the square root of both sides, we have;

x = √1024

x = 32

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If the size of an object doubles, the new distance needs to be square root of 2 times the original distance to keep the same angular size.

To relate the size of an object (x) to the distance to the object (d), you can use the small-angle formula. This formula is θ = x/d, where θ represents the angular size of the object.

If the size of an object doubles, you need to find the new distance (c) in order to keep the angular size the same.

To calculate the new distance (c), you can rearrange the small-angle formula. Since the angular size (θ) remains the same, the new size of the object will be 2x.

So, the equation becomes θ = 2x/c.

To find the new distance (c), you need to solve for c. Rearrange the equation as c = 2x/θ.

Now you can plug in the values for the new size of the object (2x) and the angular size (θ) to calculate the new distance (c).

Remember to use consistent units for accurate results.

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Answer:

2x-16=10

Step-by-step explanation:

16 less is -16

twice a number is 2x because the number is unknown

Answer: 2n-16= 10

Step-by-step explanation:

Let's break this sentence into parts.

"16 less than": always translates to something -16. Hack: Whenever you see "something less than" you put a subtraction sign and that number on the right side. just like "5 less than" becomes something -5.

'twice a number': 2 times a number's value, or 2 times the number. let's say the number is 4. "twice the number" means to double it's value. 4x2=8. In this case, you  write 2n.

- 2n translates to "2 times a number". A number next to a letter means they're being multiplied.

"is 10": =10. Hack:  "is" always becomes an equals sign.

Combine

16 less than , twice a number, is 10.

2n - 16= 10

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Answer:

She has to drink 0.05 liters more

Step-by-step explanation:

She has to drink 2.5 liters of water each day.

The total amount of water she  drank  is

3/4 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

0.75 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

2.45 liters + x liters = 2.5 liters

x liters = 2.5 liters - 2.45 liters

x liters = 0.05 liters

She has to drink 0.05 liters more  or has not drunk 0.05 liters.

If she drinks 0.05 liters more she will reach her set goal.

3/4 liters

1 liter= 1000ml

3/4 liters= 3* 1000/4 ml

3/4 liters= 3000/4 ml

3/4 liters= 750  ml

750 ml/ 1000ml = 0.75 liters

Answer: The measure of ∠RTS is 102°. The answer is (d).

Step-by-step explanation:

We know that the sum of the angles in a quadrilateral is 360°. Therefore, we have:

∠R + ∠T + ∠Q + ∠S = 360°

Since RP and QS are diameters, we have ∠R = ∠P = 90° and ∠Q = ∠S = 90°. Substituting these values, we get:

90° + ∠T + 90° + ∠S = 360°

Simplifying the equation, we get:

∠T + ∠S = 180°

Now we use the fact that the measure of ∠RTQ is 12° less than the measure of ∠RTS, which can be written as:

∠RTQ = ∠RTS - 12°

Substituting this into the equation above, we get:

∠T + ∠RTS - 12° = 180°

Simplifying, we get:

∠T + ∠RTS = 192°

We can now solve for ∠RTS by substituting ∠T + ∠S = 180° into the equation above:

∠RTS = 192° - ∠T

Substituting this into the equation for ∠RTQ above, we get:

∠RTQ = (192° - ∠T) - 12° = 180° - ∠T

Since the sum of the angles in triangle RTQ is 180°, we have:

∠RTQ + ∠T + ∠R = 180°

Substituting the values for ∠R and ∠RTQ, we get:

90° + ∠T + (180° - ∠T) = 180°

Simplifying, we get:

∠T = 90°

Substituting this value into the equation for ∠RTS above, we get:

∠RTS = 192° - ∠T = 102°

Therefore, the measure of ∠RTS is 102°. The answer is (d).

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Any point on the angle bisector of a line segment is equidistant from the endpoints of the line segment​.

An angle bisection is when an angle is divided into two angles of equal measure, that is, into two congruent angles, each of the two angles measuring half the original angle.

The angle bisector theorem is relevant in the context of this problem, stating that any point on the bisection of an angle is equidistant from the sides of the angle, which are the endpoints of the line segment.

In the context of this problem, the correct sentence is:

Any point on the angle bisector of a line segment is equidistant from the endpoints of the line segment​.

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A shape's perimeter is calculated by adding the lengths of all of its sides and edges. The V's direction is \((-5, -12)\)  .

The complete length of a shape's boundary is referred to as the perimeter in geometry. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

We need to know the lengths of all the sides of Fard ZH in order to calculate its perimeter. We can see from the diagram that  \(ZF = ZD + DF = 24 + 28 = 52\)  and \(FH = ZG = 30 and ZH = 36.\)

As a result, Fard ZH's perimeter is as follows:

perimeter = \(= ZF + FH + ZH + ZG\)

perimeter  \(= 52 + 30 + 36 + 30\)

perimeter  \(= 148\)

So the perimeter of Fard ZH is \(148\)  .

(3) The vector that connects points A and B must be identified in order to determine the direction of V, and it can be written as follows:

\(V = (xB - xA, yB - yA)\)

Where xA and yA represent point A's x and y coordinates, and xB and yB represent point B's x and y coordinates.

Plugging in the given values, we get:

\(V = (5 - 10, 2 - 14)\)

\(V = (-5, -12)\)

Therefore, The V's direction is \((-5, -12)\) .

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Answer:

12cos59, about 6.18

Step-by-step explanation:

cos59 = x/12

(adjacent/hypotenuse)

x = 12cos59

plugging this into a calculator gets you about 6.18

Final Answer: \(x = \frac{5y}{3}\), \(y = 15\)

Steps/Reasons/Explanation:

Question: \(\frac{x}{5} = \frac{y}{3}\) and \(\frac{12}{y} = \frac{4}{5}\). What does \(x\) equal and what does \(y\) equal and how?

Solving for \(x\) in the equation \(\frac{x}{5} = \frac{y}{3}\).

Step 1: Multiply both sides by \(5\).

\(x = \frac{y}{3} * 5\)

Step 2: Simplify \(\frac{y}{3} * 5\) to \(\frac{y * 5}{3}\).

\(x = \frac{y * 5}{3}\)

Step 3: Regroup terms.

\(x = \frac{5y}{3}\)

Solving for \(y\) in the equation \(\frac{12}{y} = \frac{4}{5}\).

Step 1: Multiply both sides by \(y\).

\(12 = \frac{4}{5}y\)

Step 2: Simplify \(\frac{4}{5}y\) to \(\frac{4y}{5}\).

\(12 = \frac{4y}{5}\)

Step 3: Multiply both sides by \(5\).

\(12 * 5 = 4y\)

Step 4: Simplify \(12 * 5\) to \(60\).

\(60 = 4y\)

Step 5: Divide both sides by \(4\).

\(\frac{60}{4} = y\)

Step 6: Simplify \(\frac{60}{4}\) to \(15\).

\(15 = y\)

Step 7: Switch sides.

\(y = 15\)

~I hope I helped you :)~

Answer:

97.5% of the students passed this test.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 78, standard deviation of 9.

What percentage of the  students passed this test?

Above 60.

60 = 78 - 2*9

So 60 is two standard deviations below the mean.

The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.

Of the 50% above, all passed.

Of the 50% below, 95%(within 2 standard deviations of the mean) passed.

So

\(p = 0.5 + 0.5*0.95 = 0.975\)

97.5% of the students passed this test.

The total number of ways students and teachers line up according to given condition is equal to 840.

Total number of students in a school = 8

Total number of teachers in a school = 3

Since the line must start with a teacher and end with a student,

Consider them as fixed positions in the line.

Arrange the remaining 7 people in the middle of the line.

First, choose one of the three teachers to be at the front of the line in 3 ways.

Then, choose one of the 8 students to be at the end of the line in 8 ways.

Next, arrange the remaining 4 teachers and 3 students in the middle of the line.

This can be done in 7!/(4!3!) = 35 ways,

Using the formula for combinations with repetition.

The total number of ways to form the line is equal to

= 3 x 35 x 8

= 840

Therefore, there are 840 ways they can line up.

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If the customer source has an arrival rate of 10 customers per hour , then

(a) the number of customers arrivals follows a Poisson Distribution .

(b) The probability formula is P(n) = \(e^{-\lambda t} \times \frac{(\lambda t)^{n} }{n!}\) .

(c) 80 customers are expected .

(d) Probability of at least 3 customers is 0.9972 .

(e) The probability function follows exponential distribution .

(f) The probability density function is f(x) = λ\(e^{\lambda x}\) .

(g) The 8th customer will be welcomed in 48th minute .

(h) probability of 8th customer arriving is 0.113 .

(i) probability distribution follows exponential distribution .

(j) expected inter arrival time in 1/6 .

Part (a) : If the customer source has an arrival rate of 10 customers per hour , then the number of customers arrivals follows a Poisson Distribution .

Part(b) : Probability of n customers arrivals at time t, can be calculated by the formula : P(n) = \(e^{-\lambda t} \times \frac{(\lambda t)^{n} }{n!}\)

Part (c) : substituting the value of lambda = 10 and t = 8 ,

We get , Number of customers expected during 8 hr day =10×8=80 .

Part (d) : Probability of having at least 3 customers within one hour

⇒ P(n≥3) = 1 - P(n≤2)

= 1 - e⁻¹⁰ × {(10⁰/0!) + (10¹/1!) + (10²/2!)}

= 1 - e⁻¹⁰ × {1 + 10 + 50}

= 1 - 0.0028

= 0.9972

Part (e) : The probability function that the nth customer follows is the exponential function.

Part (f) : The Probability density function (pdf) of this exponential function is as follow:

f(x) = λ\(e^{\lambda x}\) ,

Part (g) : The time at which we expect the 8th customer to arrive is :

⇒ 10 customers arrive in One hour, which means 1st customer arrive at 1/10th of an hour.

So,  by unitary method, we say that 8th customer arrives at 8/10th of an hour which is  48th minute.

Part (h) : The probability of 8th customer arriving in one hour is calculated by the formula :

⇒ P(X=x) = {λˣ \(e^{-\lambda}\)}/x! ,

⇒ P(X=8) = (10)⁸ e⁻¹⁰/8! = 0.113 .

Part (i) : The probability distribution for the inter-arrival time follows an exponential distribution.

Part (j) : The expected inter arrival time between the nth and (n + 1)th customer is calculated as :

⇒ (no. of customers per hour)/(no. of mins in 1hour ) = 10/60 =1/6 .

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The given question is incomplete , the complete question is

Suppose that we have a Poisson customer source, which has an arrival rate of 10 customers per hour.

(a) What probability distribution does the number of customer arrivals follow at time t?

(b) Write out the probability when we have n customer arrivals at time t.

(c) How many customers are expected during an 8-hour day?

(d) What is the probability of having at least 3 customers within one hour?

(e) What probability distribution does the nth customer arrival time follow?

(f) Write out is probability density function.

(g) What time do you expect to welcome the 8th customer?

(h) What is the probability you have 8 customers in one hour?

(i) What probability distribution does the inter-arrival time follow?

(j) What is the expected inter-arrival time between nth and (n+1)th customer?

A=148°

B=148°

Step-by-step explanation:

180-38=148°

because A and B are equal, they're both 148°

The measure of ∠EBD from the given figure is 26°.

Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since BC bisects ∠ABD, we get ∠ABC=∠CBD

So, ∠ABD=∠ABC+∠CBD

⇒2∠CBD=104°

⇒∠CBD=52°

Here, BE bisects ∠CBD, we get ∠CBE=∠EBD

So, ∠CBD=∠CBE+∠EBD

⇒2∠EBD=52°

⇒∠EBD=26°

Therefore, the measure of ∠EBD from the given figure is 26°.

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If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.

The snowcone is a sphere.

volume = 4 / 3πr³

where

Therefore,

volume of the snowcone = 4 / 3 × π × 4³

volume of the snowcone = 256 π/ 3 = 85.33π

Therefore, the volume of the cone canbe found as follows:

volume of the cone shaped paper = 1 / 3 πr²h

h = 12 cm

r = 6cm

volume of the cone shaped paper = 1 / 3 × π × 6² × 12

volume of the cone shaped paper = 144π

Therefore, let find if the ice melt in the cone whether it will overow.

144π - 85.33π = 58.67π

Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.

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The result of multiplying 2000 by 320 is 640,000.

To calculate the product of 2000 and 320, we can follow these steps:

Multiply the rightmost digit of the second number (320) by the first number (2000). In this case, 0 multiplied by 2000 is 0.

Multiply the next digit of the second number (2) by the first number (2000) and shift the result one place to the left. In this case, 2 multiplied by 2000 is 4000, so we write 4000 with one zero shifted to the left: 40,000.

Multiply the next digit of the second number (3) by the first number (2000) and shift the result two places to the left. In this case, 3 multiplied by 2000 is 6000, so we write 6000 with two zeros shifted to the left: 600,000.

Add up the results from steps 1, 2, and 3. 0 + 40,000 + 600,000 equals 640,000.

Therefore, the result of multiplying 2000 by 320 is 640,000.

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Answer:

c 2*3

Step-by-step explanation:

I think its correct

Answer:

-20 1/3

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Because right now 19 4/3 is positive, we need to make it negative for it to even be the opposite. So B would be the correct answer.

Answer:

on the y axis

Step-by-step explanation:

Answer:

24/10

Step-by-step explanation:

From the diagram

Opposite BC = 24cm

Adjacent = AC = 10cm

tan theta = opposite/adjacent

Substitute

tan <A = BC/AC

tan <A = 24/10

Hence the equivalent ratio is 24/10