What is the average of 17 multiple of 7?.

The required probability that the next 14 students to enroll should be an adult is 0.388.

Given that,
A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total students enroll = 18 adult + 18 other student
Total student enroll = 36 students,
Next studentes = 14 adult
Probability of next students to be adult = 14 / 36 = 0.388

Thus, the required probability that the next 14 students to enroll should be an adult is 0.388.

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Positive value of z, the probability that a standard normal variable is between 0 and Z, the value of Z is 1.16

Given that:

P(0<Z<z)= 0.3770

P(Z<z)- P(Z<z)= 0.3770

P(Z<z)=0.3770- P(Z<z)

P(Z<z)=0.3770+ 0.5000        

{ we know that : P(Z<z)= P(Z<z)= 0.5}

P(Z<z)= 0.8770

so far calculating the value of Z, we look at the standard normal distribution table, we move to left until we reached first column we observe the value was 1.1 and then in the top value was observed we get the value that is 0.06. Then, we intersect the row and column we get the value of Z,

i.e, [1.1+ 0.06= 1.16]

Therefore P(Z≤1.16) = 0.8770

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Answer:

Range is basically the Y-Values,

so in this case: {-3, -1, 1, 3}

happy learning

Answer:  The correct answer is $34.50

Step-by-step explanation:

large necklace sells for $5.10

small necklace sells for $4.90

Total = (Large*1) + (small*6)

Total = (5.10*1) + (4.90*6)

Total = 5.10 + 29.40

Total = 34.50

Remember to vote this answer as Brainliest if I earned it!  :)

Answer:

$34.50

Step-by-step explanation:

step 1

$4.90×6

=$29.40

step 2

$5.10+29.40

=$34.50

The answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Divide 4 5/6 and -2 1/7

4 5/6 = 35/6

-2 1/7 = -15/7

= (35/6)/(-15/7)

= (35/6)(-7/15)

= -245/90

= -49/18

= -2 13/18

Thus, the answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

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When the number is a natural number, the solution set is = 6,7,8,...

Correct choices are (A), (D), (E), (F).

In mathematics, an inequality depicts the relationship between two non-equal values in an algebraic expression. Inequality signs can indicate that one of the two variables is greater than, greater than or equal to, less than, or less than or equal to another value.

Given inequality is,

12+11x/6 ≤ 5+3x

Solving the inequality is given by,

12+11x/6 ≤ 5+3x

12-5 ≤ 3x-11x/6

7 ≤ (18x-11x)/6

7 ≤ 7x/6

42 ≤ 7x

6 ≤ x

When it is natural number the solution set is = {6,7,8,...}

As a result, options (A), (D), (E), and (F) are correct.

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Proved that The length of OP ≅ The length of OB

Consider the two triangles triangle OTP and triangle OCB

The given measurements are

The measure of angle T = The measure of angle C

The length of the side TP = The length of the side CB

The measure of angle O is common in both triangle

Here two angles and one side of the triangle OTP is equal to the two angles and one side of the triangle OCB, then the two triangles are congruent

Therefore the length of the OP is equal to the length of the triangle OB

Hence, proved that the length of OP ≅ The length of OB

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There are a total of 9 items to divide among 3 people, so the number of ways to divide the items is 84.

In mathematics, a combination is a selection of elements from a bigger group where the arrangement of the elements is irrelevant. Consider a collection of three letters, A, B, and C, for illustration. Two of these letters, AB, AC, and BC, can be chosen in one of three ways. "Combinations" of the letters A, B, and C are what these three options are referred to as.

C(n, k)=n!/(k!*(n-k))!

where the product of all positive integers from 1 to n, denoted by the symbol n!, is the factorial of n. For instance, 5! equals 1 + 2 + 3 + 4 + 5 = 120.

For example, three people divide among themselves six identical apples, one orange, one plum, and one tangerine.

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The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

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An olympic sized pool, which hold 660,000 gallons of water, is only 63% full. the pool maintenance company adds more water, filling the pill to 90% full.

The amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

The amount of water an Olympic-sized pool can hold is, 660,000 gallons.

The pool is 63% full at the moment.

The of water in the pool now is: 63% of 660,000 = 415,800 gallons

If the pool is 90% full then the amount of water in the pool is:

90% of 660,000 = 594,000 gallons

The amount of water added by the pool maintenance is:

Amount of water added = 90% of 660,000 - 63% of 660,000

                                     = 594,000 - 415,800

                                     = 178,200

Hence the answer is, the amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

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The greater the discount from fair value, the smaller the liquidity index will be, and the greater the liquidity risk the FI will be exposed to.

The days needed to turn a company's trade receivables or inventory into cash are determined by the liquidity index.

Thus, the liquidity index would be smaller and the FI will be exposed to more liquidity risk the wider the discount from fair value.

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Answer:

m<X=m<Z

Step-by-step explanation:

In an isosceles triangle, 2 sides are congruent, and the opposite angles of those sides are congruent.

The angle opposite side XY is <Z.

The angle opposite side YZ is <X.

Since sides XY and YZ are congruent, then angles Z and X are congruent.

Answer: m<X=m<Z

The statements that use a while loop to assign a string consisting of exactly 777 asterisk to s are mentioned below:

i=0

While i<777

[Tab Key]s=s+"*"

[Tab Key]i+=1

A variable is a sign and placeholder in mathematics for any mathematical object. A variable can be a number, a vector, a matrix, a function, its argument, a set, or an element of a set.

Algebraic calculations that treat variables as if they were explicit integers solve a variety of issues in a single step. The quadratic formula, for example, solves any quadratic equation by substituting the numeric values of the equation's coefficients for the variables represented by the quadratic formula. A variable in mathematical logic is either a sign expressing an unnamed word of the theory (a meta-variable) or a basic item of the theory that is changed without reference to its theory.

Given,

A variable s is assigned to an empty string.

The statements that use a while loop to assign a string consisting of exactly 777 asterisk to s,

i=0

While i<777

[Tab Key]s=s+"*"

[Tab Key]i+=1

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Answer:

Yes, the point is on the line.  It does result in a true statement.

Step-by-step explanation:

y = 1/2x -5

-2 =1/2(6) -5

-2 = 3 -5

-2 = -2

Answer:

So select "is" true.

Step-by-step explanation:

So we're given the equation: y = 1/2x - 5.

So the slope is 0.5 or 1/2.

The y-intercept is -5 or (0, -5).

To find if the ordered pair holds true or not we must evaluate.

So we start at:

(0, -5)

(1, -4.5)

(2, -4)

(3, -3.5)

(4, -3)

(5, -2.5)

(6, -2)    

- WE ARE INCREASING BY 1/2 AS ITS THE SLOPE!!

Therefore, after evaluating, it can be seen that it does hold true.

Answer:

B=78

Step-by-step explanation:

2x+4+2x-9+x=180

5x-5=180

5x=185

x=37

therefore B=78

Answer:

∠B = 78°

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is 180°.

The measurements of the triangle are ∠A = (2x - 9)°, ∠B = (2x + 4)°, and ∠C = x°.

Equation: (2x - 9) + (2x + 4) + x = 180

Step 1: Combine like terms.

[tex]\implies 2x + 2x + x- 9 + 4 = 180[/tex]

[tex]\implies 5x - 5 = 180[/tex]

Step 2: Add 5 to both sides.

[tex]\implies 5x - 5 + 5 = 180 + 5[/tex]

[tex]\implies 5x = 185[/tex]

Step 3: Divide both sides by 5.

[tex]\implies \dfrac{5x}{5} = \dfrac{185}{5}[/tex]

[tex]\implies x = 37[/tex]

Step 4: Substitute 37 as the value of x in ∠A, ∠B, and ∠C to find their measures.

[tex]\angle {\sf A} \implies 2(37) - 9 = 65[/tex]

[tex]\angle {\sf B} \implies 2(37) + 4 = 78[/tex]

[tex]\angle {\sf C} \implies 37[/tex]

The measure of the angles are: ∠A = 65°, ∠B = 78°, and ∠C = 37° . Together, they add up to 180°.

The APR for the loan described below. purchase a living room set for $3,500 at 10% add-on interest for 3 years is 19.5%.

An annual percentage rate, or APR, is a figure that expresses the entire cost of borrowing money as a proportion of the loan's principle. An accurate picture of how much it costs to borrow money is intended to be provided by the APR on a loan or credit card. The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR) , APR is a percentage that expresses the actual annual cost of borrowing money throughout the course of a loan or the revenue from an investment.

Given,

The following formula can be used to determine the annual percentage:

APR = 2Nr/N+1

N = number of payments,

Time is 12 x 3  years, or 36 months.

add-on interest rate (r) = 10% = 0.10

When we substitute our value to determine the APR, we obtain:

APR = 2 × 36×0.10/36+1

APR = 7.2/37

APR = 0.1945

APR = 19.5%

The APR for the loan described below. purchase a living room set for $3,500 at 10% add-on interest for 3 years is 19.5%.

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After simplification, the cost of 1 spaghetti meal is 9.

In the given question,

Two people have the same amount of money to spend.

If person A buys 7 spaghetti meals, he has $2 left.

If person B buys 5 spaghetti meals, she has $20 left.

We have to find the cost of 1 spaghetti meal.

The both person have same amount of money to spend. So let both have $x to spend.

Let y be the cost of one spaghetti meals.

A buys 7 spaghetti meals and he has $2 left.

So the cost of 7 spaghetti meals is 7y.

Now he has $2 left so the total cost is equal to the sum of the cost of 7 spaghetti meals and $2.

The equation should be

7y+2=x......................(1)

B buys 5 spaghetti meals, she has $20 left.

So the cost of 5 spaghetti meals is 5y.

Now he has $20 left so the total cost is equal to the sum of the cost of 5 spaghetti meals and $20.

The equation should be

5y+20=x......................(2)

Now put the value of x from the equation 2 in equation 1.

So 7y+2=5y+20

Simplifying the equation.

Subtract 2 on both side

7y+2−2=5y+20−2

7y=5y+18

Subtract 5y on both side

7y−5y=5y+18−5y

2y=18

Divide by 2 on both side

2/2 y=18/2

y=9

Hence, the cost of 1 spaghetti meal is 9.

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As per the concept of LCM, the smallest number of pumpkins she must have to make these groups is 36

LCM

LCM is also known as the Lowest Common Multiple (LCM) and Least Common Divisor (LCD).

For example two integers a and b, denoted

LCM (a , b),

Here the LCM is the smallest positive integer that is evenly divisible by both a and b.

Given,

Mariana can make groups of 3, 4, or 9 pumpkins with none left over

Here we need o find the smallest number of pumpkins she must have to make these groups.

Here we have the number of pumpkins as 3, 4, and 9.

Now, we have to find the LCM of these number.

Find and list multiples of each number until the first common multiple is found.

This is the lowest common multiple.

Multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44

Multiples of 9:

9, 18, 27, 36, 45, 54

Here the common multiple of the number 3,4, and 9 is 36.

Therefore, LCM(3, 4, 9) = 36

So, 36 is the smallest number of pumpkins she must have to make these groups.

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There is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

At the null hypothesis, it is tested if the mean remains at 31.3, that is:

[tex]H_0: \mu = 31.3[/tex]

At the alternative hypothesis, it is tested if the mean has decreased, hence:

[tex]H_1: \mu < 31.3[/tex]

We have a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05 and 16 - 1 = 15 df.

The t-distribution is used, as we have the standard deviation only for the sample, hence, using a calculator, the critical value is of:

t = -1.75.

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters of the equation are listed as follows:

In the context of this problem, the values of those parameters are:

[tex]\overline{x} = 29.8, \mu = 31.3, s = 4.1, n = 16[/tex]

Hence the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29.8 - 31.3}{\frac{4.1}{\sqrt{16}}}[/tex]

t = -1.46.

The test statistic is greater than the critical value for the left tailed test, hence the null hypothesis is not rejected, meaning that there is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

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Answer:

Step-by-step explanation:

False

Answer:

False statement

Step-by-step explanation:

Currently, the inequality of the line is x < -18.75  like shown in the number line.

If you want to substitute -17 for x, you have to make sure it makes sense.

The inequality will be -17 < -18.75.

Now, is this inequality a true one? No, because -17 is not less than -18.75 making this a false statement.

You can also check with the number line in the image.

Does the line pass through -17?

Answer:37/3

Step-by-step explanation:

the trick I always use is multiply your denominator by your whole number and add your numerator

From the given figure, measure of the required angle are as follow :

m∠h = 19° and Angle m∠c = 132°.

As given in the question,

From the given figure relation between the angles are as follow:

Angle a and 48° are linear pairs.

m ∠a + 48° = 180°

⇒ m ∠a = 132°

Two parallel lines and transversal is formed for the angle formed between them.

∠a and ∠c are pair alternate angles.

Measure of  ∠c = 132°

Measure of ∠d and 151° are linear pair .

m ∠d + 151° = 180°

⇒ m ∠d = 29°

m ∠h + m ∠c + m ∠d = 180°

⇒ m ∠h + 132° + 29° =180°

⇒ m ∠h = 19°

Therefore, from the given figure, measure of the required angle are as follow : m∠h = 19° and Angle m∠c = 132°.

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Someone who makes $40,000 in the United States would need to earn  $26,400 in Mexico

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Earning in the United States equals earning in Maxico.

By applying the formula, a person's estimated annual income in the United States is $30303 when their annual income in Mexico is $20,000.

hence when $30303 in United States = $20,000 in Maxico

$40,000 in United States = (20,000/30303) * 40,000 in Maxico = $26400 (Approx)

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If the mid point of AB is M(7,-5) and the coordinates of A is (6,-7) then the coordinate of B is (8,-3) .

The mid point of the line segment with the end coordinate as (x₁ , y₁) and (x₂ , y₂ ) is calculated using the formula

Mid Point = ( (x₁+x₂)/2 , y₁+y₂)/2 )

In the question ,

it is given that

the mid point of the line segment AB is (7 , -5)

and the coordinate of A is (6, -7)

let the coordinate of B be [tex]=[/tex] (x,y)

So , By mid point formula ,

we get ,

7 = (6 + x)/2

6 + x = 14

x = 14 - 6

x = 8

-5 = (-7 + y)/2

-7 + y = -10

y = -10 + 7

y = -3

So , B is (8 , -3)

Therefore, the coordinate of the Point B is (8,-3) .

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Answer:

(0,2) (2,0)

Step-by-step explanation:

choose a graph with those points

The sum of the angles, ∠1 and ∠4 is 250.

What is alternate exterior angles?

The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.

As given, the diagram of airport runway intersections show two parallel runways. A taxiway crosses both runways.

After crossing runways by taxiway the angles, ∠8 and ∠1 becomes same.

Since, ∠8 = 125  so ∠1 = 125.

Now ∠1 and ∠4 are alternate exterior angles.

It becomes ∠4 is same as ∠1.

Therefore, ∠1 = ∠4 = 125.

So the sum of angles, ∠1 and ∠4 is

125 + 125 = 250.

Hence, the sum of angles ∠1 and ∠4 is 250.

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Use the drop-down menus to complete the solution to the equation cosine (start fraction pi over 2 end fraction minus x) = start fraction start root 3 end root over 2 end fraction for all possible values of x on the interval [0, 2pi].

Using trigonometric identities, the solution to the equation [tex]cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2}[/tex] for all possible values of x on the interval [0, 2π].

What are trigonometric identities?

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

[tex]cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2} \\\\cos(x)cos\frac{\pi }{2}+sin(x)sin \frac{\pi }{2} = \frac{\sqrt{3} }{2}\\\\cos(x)(0)+sin(x)(1) = \frac{\sqrt{3} }{2}\\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3}, \frac{2\pi }{3}[/tex]

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Answer:

c) 7(7 + 4)

Step-by-step explanation:

Given expression,

→ 49 + 28

Then equivalent expression is,

→ 7(7 + 4)

→ (7 × 7) + (7 × 4)

→ 49 + 28

Hence, the answer is 7(7 + 4).

Answer:7(7+4)

Step-by-step explanation:

Answer:

5x+2y-16=0 (general form)

y= -5/2 x+8 (slope intercept form)

Step-by-step explanation:

y-y1/x-x1 = y2-y1/x2-x1 ( formula)

y+2/x-4 = 3+2/2-4

y+2/x-4 = 5/-2

-2 (y+2) = 5 (x-4)( cross multiply)

-2y-4 = 5x-20

-2y = 5x-20+4

-2y = 5x-16

5x+2y-16 = 0 (general form )

OR

y = -5/2 x -16/-2yyyyx

y = -5/2 x + 8

The equation of slope-intercept form the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.

What is slope-intercept form explain?

m = ( y₂ - y₁) / ( x₂ - x₁ )

m = ( 5 - 0 ) / ( 2 - 0 )

m = ( 5 / 2 )

y = ( 5 / 2)x + c

0 = 0 + c

c = 0

Y = ( 5 / 2)x

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