Determine the maturity value of a 45-day note for $1,250 dated May 23 and bearing interest 8%.

Answer:

0.0171

0.89158

Step-by-step explanation:

Given :

μ = 60

Standard deviation , σ = 17

The probability that a randomly chosen score is greater than 96;

P(Z > Zscore)

Zscore = (score, x - μ) / σ

Zscore = (96 - 60) / 17 = 2.118

P(Z > 2.118) = 1 - P(Z < 2.118) = 1 - 0.9829 = 0.0171

The probability that a randomly chosen score is less than 81;

P(Z < Zscore)

Zscore = (score, x - μ) / σ

Zscore = (81 - 60) / 17 = 1.235

P(Z < 1.235) = 0.89158

Answer:

I think the answer would be

y = 0.5x -8

tough this might be wrong?

Step-by-step explanation:

(2, 7) ( 4,6)

to find the gradient- mx

y2-y1/ x2 - x1

chose which would be 1/ 2

if I chose (2,7) as 1 then (4, 6) as 2

mx = 6- 7/ 4-2

= -0.5x

y = -0.5x + c

substitute

6 = -0.5(4) + c

6= -2+ c

c = -8

Answer:

c=cost of one chair rental

t=cost of one table rental

8c+3t=42

2c+5t=53

multiply the second equation, each term on both sides, by -4

8c+3t=42

-8c-20t=-212

add the two equations

-17t=-170

divide both sides by -17

t=$10 to rent one table

substitute t=10 into either original equation

2c+5(10)=53

2c+50=53

2c=3

c=$1.50 to rent one chair

Answer:

The answer is "[tex]1.54 \times 10^{-6}[/tex]".

Step-by-step explanation:

Calculating the probability of the cards that hand from a 52-card deck.

The aces are high or low in poker.

There are 13 cards in the bridge hand.

A royal flush (5 suit top cards) in poker.

There are 5 various poker hands with [tex]\binom{52}{5}[/tex].

There are four royal flushes, one in each suit.

[tex]P (royal\ flush) =\frac{4}{\binom{52}{5}}\\\\[/tex]

                         [tex]=\frac{4}{2598960}\approx 1.54 \times 10^{-6}[/tex]

Answer:

A. More students prefer Model A1 calculators than the Model C3 calculators.

Answer:

[tex]{ \tt{slope, \: m = \frac{1 - ( - 1)}{1 - 0} }} \\m = 2 \\ y - intercept : y = mx + c \\ { \tt{1 = (2 \times 1) + c}} \\ c = - 1 \\ { \boxed{ \bf{y = 2x - 1}}}[/tex]

Answer:

900

Step-by-step explanation:

34/100 = 306/x

Cross multiplying, you get:

34x=30600

x=900

Total trip is 900 miles long.

Answer:

the answer could be B i think cause that makes total sense

Answer:

BAC

Step-by-step explanation:

The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial shown in the picture.

A = -7x² - 2x + 5

B =  7x² - 2x + 7

C = 7x² + 2x - 5

The expression is:

= (3x² - 6x + 11) - (10x² - 4x + 6)

= -7x² - 2x + 5

= A

= (-3x² - 5x - 3) - (-10x² - 7x + 2)

= 7x² + 2x - 5

= C

= (12x² + 6x - 5) - (5x² + 8x - 12)

= 7x² - 2x + 7

= B

Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ5

9514 1404 393

Answer:

  = 53(20 +4)  or  =24(50 +3)   or  =(20 +4)(50 +3)

Step-by-step explanation:

Either number can be rewritten as a sum. Typically, the sum will be based on place value: 53 = 50 + 3, for example, as opposed to something like 53 = 26 +27.

The usual method of multiplication taught in grade school makes use of this sort of rewriting.

53 × 24 = 53 × (4 +20) = 53×4 +53×20 = 212 +1060 = 1272

__

Additional comment

We find this easier to multiply as 53(20 +4) than as 24(50 +3) because doubling (multiplying by 2) and doubling again (multiplying by 4) is generally easier than multiplying by 3 or 5.

In grade school, we did this digit by digit, so ...

  53×24 = (3 +50)(4 +20) = 3(4 +20) +50(4 +20) = 3×4 +3×20 +50×4 +50×20

  = 12 +60 +200 +1000 = 1272

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

3w + 2h + 5t = 136 (total purchasing and cost)

We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

Simplify

6h + 2h + 5h - 20 = 136

13h = 136 + 20

13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

t = $8

Answer:

The mean and median number of apples in a bag are 21.71 and 22 respectively.

Step-by-step explanation:

The mean is the arithmetic mean of a set of numbers. In other words, the mean is the average value of all my data.

The mean is calculated by adding all the values ​​and dividing the sum by the total number of values. In this case:

[tex]Mean=\frac{23+19+26+17+21+24+22}{7}[/tex]

[tex]Mean=\frac{152}{7}[/tex]

Mean= 21.71

The median of a set of numbers is the average number in the set, that is, it is the value that occupies the central place of all the values.

The median can be calculated by putting the numbers in ascending order and then:

In this case:

Putting the numbers in ascending order: 17, 19, 21, 22, 23, 24, 26

Since the quantity is odd numbers, the median is the number in the center of that distribution. So Median= 22

The mean and median number of apples in a bag are 21.71 and 22 respectively.

Area is in square units.

Square the factor: 5^2 = 25

The new area would be the area of the old rectangle multiplied by 25

Answer: Area of old rectangle is multiplied by 25

Step-by-step explanation:

Original rectangle

Area = 2 · 5 = 10 cm²

New rectangle

Area = 25 · 10 = 250 cm²

The area of the new rectangle = area of old rectangle × 25

Answer:

[tex]\frac{73,331}{75,516}\approx 97.11\%[/tex]

Step-by-step explanation:

The probability that she will find at least one student cheating is equal to the probability that she finds no students cheating subtracted from 1.

Each time she randomly chooses a student the probability she will catch a cheater is equal to the number of cheaters divided by the number of students.

Therefore, for the first student she chooses, there is a [tex]\frac{9}{35}[/tex] chance that the student chosen is a cheater and therefore a [tex]\frac{26}{35}[/tex] chance she does not catch a cheater. For the second student, there are only 34 students to choose from. If we stipulate that the first student chosen was not a cheater, then there is a [tex]\frac{9}{34}[/tex] chance she will catch a cheater and a [tex]\frac{25}{34}[/tex] chance she does not catch the cheater.

Therefore, the probability she does not catch a single cheater after randomly choosing ten students is equal to:

[tex]\frac{26}{35}\cdot \frac{25}{34}\cdot \frac{24}{33}\cdot \frac{23}{32}\cdot \frac{22}{31}\cdot \frac{21}{30}\cdot \frac{20}{29}\cdot \frac{19}{28}\cdot \frac{18}{27}\cdot \frac{17}{26}[/tex]

Subtract this from one to get the probability she finds at least one of the students cheating after randomly selecting nine students. Let event A occur when the professor finds at least one student cheating after randomly selecting ten students from a group of 35 students.

[tex]P(A)=1-\frac{26}{35}\cdot \frac{25}{34}\cdot \frac{24}{33}\cdot \frac{23}{32}\cdot \frac{22}{31}\cdot \frac{21}{30}\cdot \frac{20}{29}\cdot \frac{19}{28}\cdot \frac{18}{27}\cdot \frac{17}{26},\\\\P(A)=1-\frac{2,185}{75,516},\\\\P(A)=\boxed{\frac{73,331}{75,516}}\approx 0.97106573441\approx \boxed{97.11\%}[/tex]

Answer:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]S = \{V,W,X,Y,Z\}[/tex]

[tex]n(S) = 5[/tex]

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

[tex]P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20[/tex]

So, the probability model is:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Answer:

answer is V=.20, W=.20, X=.20, Y=.20, X=.20

Step-by-step explanation:

ʕ•ﻌ•ʔ[tex]\huge\bold\pink{hello!!!}[/tex]ʕ•ﻌ•ʔ

HERE IS UR ANSWER

_____________________

formula used to calculate shear stresses due to bending, τ = VQ/It. We have just read the internal shear force, V, off of the shear diagram. We also already calculated the moment of inertia for this particular section.

τ=6000N

Answer:7

Step-by-step explanation:7

Step-by-step explanation:

(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p

(p and not (q and p)) = (p and (not q or not p)) =

= (p and not q) or (p and not p) = (p and not q) or false =

= p and not q

so, we have in total

(q and p) or (p and not q) = (p and q) or (p and not q).

this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.

Answer:

B

Step-by-step explanation:

the g is not in the root, solve everything in the root separately and then add g to it

Answer:

x = 55

Step-by-step explanation:

In a rhombus, each diagonal bisects a pair of opposite angles.

For this parallelogram t be a rhombus, the angles with measures 2x - 40 and x + 15 must be congruent.

2x - 40 = x + 15

Subtract x from both sides.

x - 40 = 15

Add 40 to both sides.

x = 55

Answer:

Hello,

x=55

Step-by-step explanation:

The rhombus is formed of 2 isocele triangles

(since sides are equals)

The drawn diagonal  bissects the angle

x+15=2x-40

2x-x=15+40

x=55

Answer:

Step-by-step explanation:

684 dollars

Answer:

the answer is b. you are basically multiplying them

Answer:

23

Step-by-step explanation:

We are given that

f(2)=13

[tex]f'(x)\geq 2[/tex]

[tex]2\leq x\leq 7[/tex]

We have to find the possible small value of f(7).

We know that

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Using the formula

[tex]f'(x)=\frac{f(7)-f(2)}{7-2}[/tex]

[tex]f'(x)=\frac{f(7)-13}{5}[/tex]

We have

[tex]f'(x)\geq 2[/tex]

[tex]\frac{f(7)-13}{5}\geq 2[/tex]

[tex]f(7)-13\geq 2\times 5[/tex]

[tex]f(7)-13\geq 10[/tex]

[tex]f(7)\geq 10+13[/tex]

[tex]f(7)\geq 23[/tex]

The small value of f(7) can be 23.

Answer:

The p-value of the test is 0.0088 < 0.05, which means that at the 0.05 significance level, we can conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Pernod 5:

23 out of 390, so:

[tex]p_P = \frac{23}{390} = 0.059[/tex]

[tex]s_P = \sqrt{\frac{0.059*0.941}{390}} = 0.0119[/tex]

Action:

46 out of 420, so:

[tex]p_A = \frac{46}{420} = 0.1095[/tex]

[tex]s_A = \sqrt{\frac{0.1095*0.8905}{420}} = 0.0152[/tex]

Test if there is a difference in proportions:

At the null hypothesis, we test if there is not a difference, that is, the subtraction of the proportions is 0. So

[tex]H_0: p_A - p_P = 0[/tex]

At the alternative hypothesis, we test if there is a difference, that is, the subtraction of the proportions is different of 0. So

[tex]H_1: p_A - p_P \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the samples:

[tex]X = p_A - p_P = 0.1095 - 0.059 = 0.0505[/tex]

[tex]s = \sqrt{s_A^2+s_P^2} = \sqrt{0.0119^2+0.0152^2} = 0.0193[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{0.0505 - 0}{0.0193}[/tex]

[tex]z = 2.62[/tex]

P-value of the test and decision:

The p-value of the test is the probability of a difference in proportions of at least 0.0505 to either side, which is P(|z| > 2.62), that is, 2 multiplied by the p-value of z = -2.62.

Looking at the z-table, z = -2.62 has a p-value of 0.0044.

2*0.0044 = 0.0088

The p-value of the test is 0.0088 < 0.05, which means that at the 0.05 significance level, we can conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

Answer:

I think it is the last one.

Apply radical rule

= (10^1/2)3/4x

Apply exponent rule: (a^b)^c = a^bc

= 10^1/2 . 3/4x

Simplify: 1/2 . 3/4x:  3x/8

= 10^3x/8

Answer:

-30x^2-9x+12  all real numbers

Step-by-step explanation:

f(x) = -6x + 3 and g(x) = 5x + 4

f(x) * g(x) = (-6x + 3) * ( 5x + 4)

FOIL

            = -30x^2 -24x+15x +12

Combine like terms

           =-30x^2-9x+12

The domain is what numbers x can take

There are no restrictions so all real numbers

9514 1404 393

Answer:

  D. Logistic growth

Step-by-step explanation:

The logistic growth function models a situation where the rate of growth is jointly proportional to the population and to the difference between the population and the carrying capacity.

Attached is an example of such a function.

Answer:

B

Step-by-step explanation:

$3 per gallon

that is the procedure above

Answer:

slope=undefined

Step-by-step explanation:

(-5-4)/(9-9)

-9/0

[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

[tex]\frac{(-5-4)}{(9-9)}[/tex]

[tex]\frac{-9}{0}[/tex]

Because the denominator is 0, the slope is undefined.

Rise over run. The run is 0.