PLEASE HURRY In order to solve the system of equations below, Juana multiplies each equation by a constant to eliminate the y terms.
4x-3y = 1
5x+4y=9
What are the resulting equations?
16x-12y - 4
15x+12y - 27
16x-12y=-4
15x+12y = 27
16x-12y=-4
15x-12y = 27

Answer:

z = 1.645 should be used.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].

z = 1.645 should be used.

Answer:

  10

Step-by-step explanation:

The two marked angles are a linear pair, so have a sum of 180°.

  (2m +10) +(5m +100) = 180

  7m +110 = 180 . . . . . . . collect terms

  7m = 70 . . . . . . . . . . . . subtract 110

  m = 10 . . . . . . . . . . . . . divide by 7

Answer:

B. (x - 8)(x - 5)

Step-by-step explanation:

If you plugged in x = 5 into the 2nd equation, you would see that you would be multiplying by 0, which would turn everything zero.

Answer:

Width (x) = 160ft

See explanation below

Step-by-step explanation:

The information given is incomplete as we are not told if the shape of the pond. This is about determining the surface area of a water body.

Looking at the question, we can tell we are to find the width of a pond whose shape wasn't given.

Assuming the shape of the pond is either a rectangular or square pond, let's consider the following question:

The acreage of a rectangular pond is 1.54 acres and the length is 420ft. The width of the pond shown is x ft. What is the value of x.

Find attached the diagram used for solving the question.

Formula for calculating the acreage of

a Square or Rectangular Ponds is multiplying average length (in feet) times average width (in feet) and dividing the result by 43,560 to derive our answer in acres.

That is: Average Length (ft) × Average Width (ft) ÷ 43,560 = Acres

Since we have been given acreage and length, we would make width subject of formula.

Width = (Acreage × 43500)/length

Width (x) = (1.54 × 43,560)/420

=67082.4 ÷ 420 = 159.72

Width (x) = 160ft (nearest feet)

Answer:

Yes. There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

P-value = 0.00013.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0[/tex]

The significance level is 0.05.

The sample 1 (Group 1), of size n1=145 has a proportion of p1=0.124.

[tex]p_1=X_1/n_1=18/145=0.124[/tex]

The sample 2 (Group 2), of size n2=355 has a proportion of p2=0.037.

[tex]p_2=X_2/n_2=13/355=0.037[/tex]

The difference between proportions is (p1-p2)=0.088.

[tex]p_d=p_1-p_2=0.124-0.037=0.088[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{18+13.135}{145+355}=\dfrac{31}{500}=0.062[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.062*0.938}{145}+\dfrac{0.062*0.938}{355}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0.001}=0.024[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.088-0}{0.024}=\dfrac{0.088}{0.024}=3.68[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=P(z>3.68)=0.00013[/tex]

As the P-value (0.00013) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

Answer:

36

Step-by-step explanation:

Hope this helps and please rate brainliest!!!

Answer:

36 ounces

Step-by-step explanation:

We want to find the total amount of gravy the restaurant will need.

Multiply the gravy needed for one serving by the number of servings.

gravy for one serving × number of servings.

The restaurant uses 4/5 of an ounce for each serving, and 45 people ordered meatloaf. Therefore, the gravy for one serving is 4/5, and the number of servings is 45.

4/5 × 45

45 is equivalent to 45/1.

4/5 ×  45/1

Multiply across the numerator (the top numbers: 4 and 45) and denominator (the bottoms numbers: 5 and 1)

(4× 45)/(5× 1)

180/5

Divide

36

Add appropriate units. In this case, the units are ounces.

36 ounces

The restaurant needs 36 ounces of gravy for 45 servings of meatloaf.

Answer:

This line can be represented by the line y = 3/4x + 2.

Step-by-step explanation:

The slope is identified as the m in y = mx + b. The slope is the rise/run of your line (AKA how many units it goes upwards/downwards and then goes to the right/left to meet the second given point).

In this case, the line rises 3 units from 2 to 5, and then goes to the right by 4 units to meet the coordinate (4, 5).

B in the equation refers to the y-intercept, or where the line intersects/crosses the y-axis. In this case, it is the coordinate (0, 2).

Finally, x is irrelevant and is placed in the equation for no reason (at least that I am aware of in my several years of high school math).

Therefore, your final equation is y = 3/4x + 2.

25.

Look at this:

There are 5 digits in 46987.

There will be 5 combinations.

5 times 5 = 25.

You have your answer.

A total of 31 possible combinations are there for number 46987.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 5 - digit number 46987.

Assume that there are [y] possible combinations. For a [x] digit number, the total possible combinations are -

y = 2ˣ - 1

So, for [x] = 5, we will have -

y = 32 - 1

y = 31

Therefore, a total of 31 possible combinations are there for number 46987.

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Answer:

4.35 rounded to the nearest hundredth

4.3 rounded to the nearest tenth

4 rounded to the nearest whole number.

Step-by-step explanation:

[tex]8\frac{1}{6}[/tex] ÷ [tex]1 \frac{7}{8}[/tex] =

[tex]\frac{49}6}[/tex] ÷ [tex]\frac{15}{8} =[/tex]

[tex]\frac{49}{6} *\frac{8}{15} =[/tex]

[tex]\frac{392}{90} =[/tex]

[tex]4 \frac{32}{90} =[/tex]

[tex]4\frac{16}{45}[/tex] ≈ 4.35

Answer:

99.85

Step-by-step explanation:

$99.85\text{ %}$

Notice that 52 inches is three standard deviations less than the mean. Based on the Empirical Rule, 99.7% of the yearly snowfalls are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the yearly snowfalls are less than three standard deviations below the mean. Alternatively, 99.85% of the yearly snowfalls are greater than three standard deviations below the mean.

Answer:

b

Step-by-step explanation:

Answer:

2.5

Round this up to 3

Step-by-step explanation:

Add all the numbers of the graph together

1+4+3+2 = 10

Divide by 4 because it has 4 categories in total

= 2.5

Round up because its asking for puppets and theres not 1/2 of a puppet.

Answer:

math papa look on that website

Step-by-step explanation:

Answer:

$ 2263

Step-by-step explanation:

In this case to calculate the standard error of the mean, we only need the standard deviation (sd) and the number of the random sample (n).

sd = 13000

n = 33

SE = sd / (n ^ (1/2))

replacing:

SE = 13000 / (33 ^ (1/2))

SE = 2263.01

What the standard error of the mean for a random sample of 33 first-year lawyers means is $ 2263

The standard error of the mean is $2263

Since here are 310 first-year lawyers in a particular metropolitan area with an average starting salary of $156,000 and a standard deviation of $13,000.

So, the standard error is

[tex]= 13000 \div (33 ^ {(1\div 2))}[/tex]

= 2263.01

Therefore, we can conclude that The standard error of the mean is $2263

learn more about salary here: https://brainly.com/question/6078275

Answer:

2,009.6 inches³

Step-by-step explanation:

The formula for the volume of a cylinder:

V = πr²h

Let's substitute into the given equation:

V = πr²h

V = (3.14)(8²)(10)

Solve:

V = (3.14)(8²)(10)

V = (3.14)(64)(10)

V = (200.96)(10)

V = 2,009.6

Therefore, the volume of the cylinder is 2,009.6 cubic inches.

Answer:

B on edge 2022

Step-by-step explanation:

Answer:

The value of a is -1.

Step-by-step explanation:

The line of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

For a quadratic function in standard form, [tex]y=ax^2+bx+c[/tex], the line of symmetry is a vertical line given by [tex]x=-\frac{b}{2a}[/tex].

We know that the quadratic equation, [tex]y=ax^2+8x-3[/tex], has x = 4 as line of symmetry. Therefore, the value of a is:

                                                         [tex]4=-\frac{8}{2a}\\\\4=-\frac{4}{a}\\\\4a=-4\\\\a=-1[/tex]

Answer:

a=-1

Step-by-step explanation:

so that the other person could get brainliest

Answer:

if he wants to have $400000 on gis bank in 30 years at 4 %rate then he needs to deposit $15151.5 per month

Answer:

Step-by-step explanation:

a) Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For the girls,

x = 60

n1 = 80

p1 = 60/80 = 0.75

For the boys

x = 80

n2 = 120

p2 = 80/120 = 0.67

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.8 = 0.2

α/2 = 0.2/2 = 0.1

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.1 = 0.9

The z score corresponding to the area on the z table is 1.282. Thus, z score for confidence level of 80% is 1.282

Margin of error = 1.282 × √[0.75(1 - 0.75)/80 + 0.67(1 - 0.67)/120]

= 1.282 × √0.00418625

= 0.081

Confidence interval = 0.75 - 0.67 ± 0.081

= 0.08 ± 0.081

b) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as

Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}

Therefore,

Standard error = √{(0.

75 - 0.67)/[0.75(1 - 0.75)/80 + 0.67(1 - 0.67)/120]

Standard error = √0.08/0.00418625

Standard error = 4.37

c) the difference in the probability between that girls prefer math more and boys prefer math more is

0.75 - 0.67 = 0.08

Answer:

x = 3

area = 6

Step-by-step explanation:

using phytagoras's. theorem

a² + b² = c² (with c is the longest one)

x² + (x+1)² = 5²

x² + x² + 2x + 1 = 25

2x² + 2x - 24 = 0 (divide all by 2)

x² + x -12 = 0 then factorize

(x-3)(x+4) = 0

we get x = 3 and x = -4. Take the positive one.

so now we have x = 3 then x + 1 must be 4.

the area is

A = ½ . 3 . 4 = 6

Answer:

A) 0.28

B) 0.615

C) 0.26

Step-by-step explanation:

We are given;

Probabilities of customers using regular gas:P(A1) = 40% = 0.4

Probabilities of customers using plus gas: P(A2) = 35% = 0.35

Probabilities of customers using premium gas: P(A3) = 25% = 0.25

We are also given with conditional probabilities of full gas tank:

P(B|A1) = 40% = 0.4

P(B|A2) = 80% = 0.8

P(B|A3) = 70% = 0.7

A) The probability that next customer will requires extra unlead gas(plus gas) and fill the tank is:

P(A2 ∩ B) = P(A2) × P(B|A2)

P(A2 ∩ B) = 0.35 × 0.8

P(A2 ∩ B) = 0.28

B)The probability of next customer filling the tank is:

P(B) = [P(A1) • P(B|A1)] + [P(A2) • P(B|A2)] + [P(A3) • P(B|A3)]

P(B) = (0.4 × 0.4) + (0.35 × 0.8) + (0.25 × 0.7)

P(B) = 0.615

C)If the next customer fills the tank, probability of requesting regular gas is;

P(A1|B) = [P(A1) • P(B|A1)]/P(B)

P(A1|B) = (0.4 × 0.4)/0.615

P(A1|B) = 0.26

Answer: i am pretty sure it is C dont get your hopes up but

Step-by-step explanation:

from what i see if you take the y=3 over 2 and make that a decimal you can now take y = that number and make a line and so on then after that step you want to now take your final answer which is x and subtract it by 3 i MIGHT be wrong but i tried.

Answer:

The Answer is C I hope this helped

Step-by-step explanation:

I did it on my quiz!

Answer:

[tex]Salary = Rs23000[/tex]

Step-by-step explanation:

Given

[tex]Shopping = \frac{1}{5}[/tex]

[tex]Sister = \frac{2}{5}R[/tex]

[tex]Left over = Rs11,040[/tex]

Required

Her salary in that month

Given that she spent [tex]\frac{1}{5}[/tex] of her salary on shopping, this implies that she has [tex]\frac{4}{5}[/tex] of her salary left

From what's left, she gave her sister [tex]\frac{2}{5}[/tex]

This means she gave her sister [tex]\frac{2}{5} * \frac{4}{5}[/tex]

Sister = [tex]\frac{8}{25}[/tex]

Calculating a fraction of what's left

[tex]Left over = 1 -Shopping - Sister[/tex]

[tex]Left over = 1 - \frac{1}{5}- \frac{8}{25}[/tex]

[tex]Left over = \frac{25 - 5 - 8}{25}[/tex]

[tex]Left over = \frac{12}{25}[/tex]

Recall that she has Rs11,040

This means that

[tex]\frac{12}{25} of Salary = Rs11,040[/tex]

Multiply both sides by [tex]\frac{25}{12}[/tex]

[tex]\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}[/tex]

[tex]Salary = Rs11,040 * \frac{25}{12}[/tex]

[tex]Salary = \frac{Rs276000}{12}[/tex]

[tex]Salary = Rs23000[/tex]

Hence, her salary for that month was Rs23000

Answer:

Her salary = Rs 23000

Step-by-step explanation:

In a month, Ezhil spent 1/5 of her salary on shopping.

Let

Her salary = a

she spent 1/5 of a on shopping

Amount spent on shopping = 1a/5

She gave 2/5 of the remaining to her sister .

The remaining money = a - 1a/5 = 5a - a/5 = 4a/5

She gave 2/5 of 4a/5 to her sister. Therefore,

The amount she gave to her sister = 2/5 × 4a/5 = 8a/25

Out of her salary she is left with Rs 11040 .Therefore,

a - 1a/5 - 8a/25 = 11040

25a - 5a - 8a/25 = 11040

12a/25 = 11040

12a = 11040 × 25

12a = 276000

divide both sides by 12

a = 276000/12

a = 23000

Her salary = Rs 23000

Answer:

14×7=98

188-98=90 so she had 90 left

Answer:

Step-by-step explanation:

  This particular permutation  deals with words that have repeated letters.

Given word = "ONGOING"

the formula for the permutation is

[tex]= \frac{n!}{mA! mB!.....mZ!}[/tex]

where   n   is the amount of letters in the word, and  m A , m B , ... , m Z  are the occurrences of repeated letters in the word. Each   m  equals the amount of times the letter appears in the word.

So in the word  "ONGOING"

n= 7

mO= 2

mN= 2

mG=2

[tex]permutations = \frac{7!}{2!2!2!} \\\\permutations= \frac{7*6*5*4*3*2*1}{(2*1)*(2*1)*(2*1)}[/tex]

[tex]permutations= \frac{52920}{8} \\permutation = 6,615[/tex]

Answer:

35.2% probability that the sample mean will be 246 pages or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this question, we have that:

[tex]\mu = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61[/tex]

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

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

[tex]Z = \frac{246 - 245}{2.61}[/tex]

[tex]Z = 0.38[/tex]

[tex]Z = 0.38[/tex] has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

35.2% probability that the sample mean will be 246 pages or more

Answer:

cosФ = 0.97

sinФ = 0.292

tanФ = -4

Step-by-step explanation:

A general point P(x,y) with an angle Ф has the following trigonometrical functions:

[tex]sin\phi=\frac{y}{r}\\\\cos\phi=\frac{x}{r}\\\\tan\phi=\frac{y}{x}\\\\r=\sqrt{(x)^2+(y)^2}[/tex]

For the point P(-1 , 4) you obtain:

[tex]r=\sqrt{(-1)^2+(4)^2}=\sqrt{17}\approx 4.123[/tex]

[tex]sin\phi=\frac{4}{4.123}=0.97\\\\cos\phi=\frac{-1}{4.123}=0.242\\\\tan\phi=\frac{4}{-1}=-4[/tex]

Answer:

c

Step-by-step explanation:

Answer:

99 robberies

Step-by-step explanation:

What you are basically doing is taking the discount.

1 + 14% = 1.14

113 / 1.14 = 99.12

Answer:

The answer is "[tex]\bold{\frac{(m-1)(m-2)}{(m-n)}}[/tex]"

Step-by-step explanation:

Given:

[tex]\bold{\frac{(m-n)}{m^2-n^2} + \frac{?}{(m-1)(m-2)} - \frac{2m}{m^2-n^2}=0}\\\\[/tex]

let,  ? = x then,

[tex]\Rightarrow \frac{(m-n)}{m^2-n^2} + \frac{x}{(m-1)(m-2)} - \frac{2m}{m^2-n^2}=0\\\\\Rightarrow \frac{(m-n)}{m^2-n^2} - \frac{2m}{m^2-n^2}=- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{(m-n)-2m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{m-n-2m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-n-m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-(m+n)}{(m+n)(m-n)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-1}{(m-n)} =- \frac{x}{(m-1)(m-2)} \\\\[/tex]

[tex]\Rightarrow -((m-1)(m-2))=-x(m-n) \\\\\Rightarrow x= \frac{- (m-1)(m-2)}{- (m-n)} \\\\\Rightarrow \boxed{x= \frac{(m-1)(m-2)}{(m-n)}} \\[/tex]

Answer:

-5

Step-by-step explanation:

The equation to find the slope between two points is y₂-y₁/x₂-x₁.

In this case that would be 0-20/4-0 which simplifies into -20/4=-5

So your slope is -5

Answer:

Solution,

Let the points be A and B

A(0,20)---------> (X1,y1)

B(4,0)------------>(x2,y2)

Now,

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: \: \: \: = \frac{0 - 20}{4 - 0} \\ \: \: \: \: \: = \frac{ - 20}{4} \\ \: \: \: \: = - 5[/tex]

hope this helps...

Good luck on your assignment....