solve for z.

z/12 < 3

Answer:

x = 25; both labeled angles are 65º

Step-by-step explanation:

To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.

In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.

Thus,

(3x - 10)° = (x + 40)°

Solve for x

3x - 10 = x + 40

Subtract x from both sides

3x - 10 - x = x + 40 - x

3x - x - 10 = x - x + 40

2x - 10 = 40

Add 10 to both sides

2x - 10 + 10 = 40 + 10

2x = 50

Divide both sides by 2

2x/2 = 50/2

x = 25

*Plug in the value of x to find the measure of each labelled angles:

(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°

(x + 40)° = 25 + 40 = 65°

Answer:

1. The margin of error is of 66.96 square feet.

2. The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.08

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.08*\frac{151}{\sqrt{22}} = 66.96[/tex]

In which s is the standard deviation of the sample.

The margin of error is of 66.96 square feet.

The lower end of the interval is the sample mean subtracted by M. So it is 1500 - 66.96 = 1433.04 square feet

The upper end of the interval is the sample mean added to M. So it is 1500 + 314 = 1566.96 square feet

The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet

Answer:

C. 35

55 degrees + 35 degrees= 90 degrees

Answer:

let the number of calories from lunch be called L. As such, breakfast is then L + 128, and dinner is 2L - 400. We can then sum the three meals and equate it to the total caloric intake, the known value of 1932.

  So: 1932 = L + L + 128 + 2L - 400 = 4L - 272.

  Lunch = 551

Breakfast = 551 + 128 = 679

Dinner = 2*551 - 400 = 702

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▹ Answer

y-intercept = -6

▹ Step-by-Step Explanation

The format of slope is:

y = mx + b

The b represents the y-intercept which is, -6.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: -6

Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept.

So this line has a y-intercept of -6.

This means it crosses the y-axis 6 units up from origin.

Answer:

The last graph.

Step-by-step explanation:

The last graph is the only one that has a constant pattern that can have a rule, which is every number is multiplied by two.

Hope this helped ! good luck :)

A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .

:D

Answer:

C

Step-by-step explanation:

Answer:

CORRECT (SELECTED)

The distribution has an outlier.

Step-by-step explanation:

An outlier is a data point far away from the rest of the data. There is a lone data point in the 000 to 111 score category.

(Choice C, Incorrect)

Answer:

x=4

Step-by-step explanation:

5x - 20 = 0

Add 20 to each side

5x = 20

Divide by 5

5x/5 = 20/5

x =4

The zero is when x = 4

Answer:

a) 4

Step-by-step explanation:

To find the zero of 5x - 20 = 0, find the value of x.

5x - 20 = 0

Add 20 to both sides.

5x - 20 + 20 = 0 + 20

5x = 20

Divide both sides by 5.

(5x)/5 = 20/5

x = 4

The zero of 5x - 20 = 0 is 4.

Answer:

The first step would be to add 22 to both sides to the equation.

Answer:

A. b-9=11

Step-by-step explanation:

I‘m assuming the equation should say b, not 6.  She had b blankets, subtracted 9, and was left with 11.     b-9=11.

Answer:

-400

Step-by-step explanation:

y=350-25(x)

y=350-25x30

y=350-750

y=-400

Answer:

-400

Step-by-step explanation:

y=350-25x

x=30....

y=350-25×30

y=350-750

y=-400

Answer:

D) 4.55%

Step-by-step explanation:

Given:

Rented Income = $3000 per month

= $3000 * 12 = $36,000 annually

Less : - Annual expenses = $11700

Depreciation(3% OF 235000) = $7050

Tax, repairs and Insurance = 15430

Annual net income = $36,000 - ($11,700+$7,050+$15,430)

= $36,000 - $34,180

Annual net income = $1,820

To find annual yield, use the formula below:

Annual yield = (annual net income/down payment) * 100

Therefore, annual yield will be:

Annual yield [tex] = \frac{1,820}{40,000} * 100 [/tex]

= 0.0455 * 100

= 4.55%

Annual yield = 4.55%

Answer:

33 lbs  10 ounces

Step-by-step explanation:

   13 lb 14oz

+ 30 lb 12 oz

================

32 lbs  26 oz

But we know that 16 ounces 1 1 lb

Subtract 16 ounces and add 1 lb

32 lbs  26 oz

+1 lb   - 16 ounces

==================

33 lbs  10 ounces

Answer:

Option A.

Step-by-step explanation:

Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.

The locus of points 9 units from the  point (-1,3) on the coordinate plane.

It means, the figure represents the set of all points which are 9 units from the  point (-1,3).

So, the given describes a circle with of 9 units and center at (-1,3).

Therefore, the correct option is A.

Answer:

[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-1.174)=0.240[/tex]  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Step-by-step explanation:

Information given

n=750 represent the random sample taken

[tex]\hat p=0.30[/tex] estimated proportion of  people who  thought the economy is getting worse

[tex]p_o=0.32[/tex] is the value that we want to verify

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:  

Null hypothesis:[tex]p=0.32[/tex]  

Alternative hypothesis:[tex]p \neq 0.32[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing we got:

[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-1.174)=0.240[/tex]  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

You add 7 to 1/3 and that gives 22/3

Answer:

74.3

Step-by-step explanation:

we can use the tangent ratio to solve for X

first, set up the equation

tan(22 deg)= 30/x

next, solve for x

multiply both sides by x

(x)(tan(22 deg))=30

then, divide both sides by tan (22 deg)

x=30/tan (22 deg)

plug this into a calculator

this gives us approximately 74.25

Answer:

you can either factorise or use tge formula method

Step-by-step explanation:

3x2−7x−20=03x2-7x-20=0

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=3a=3, b=−7b=-7, and c=−20c=-20 into the quadratic formula and solve for xx.

7±√(−7)2−4⋅(3⋅−20)2⋅37±(-7)2-4⋅(3⋅-20)2⋅3

Simplify.

Tap for more steps...

x=7±176x=7±176

The final answer is the combination of both solutions.

x=4,−53

Answer:

1.     [tex]16 = 4^2[/tex]

2.    [tex]2 = {16}^{\frac{1}{4}}[/tex]

3.    [tex]log_2 y=z[/tex]

Step-by-step explanation:

[tex]1.\ log_2 16=4[/tex]

Write in exponential form

Using the law of logarithm which says if

[tex]log_b A=x[/tex]

then

[tex]A = b^x[/tex]

By comparison;

A = 16; b = 2 and x = 4

The expression [tex]log_2 16=4[/tex] becomes

[tex]16 = 4^2[/tex]

[tex]2.\ log_{16} 2=\frac{1}{4}[/tex]

Write in exponential form

Applying the same law as used in (1) above;

A = 2; b = 16 and [tex]x = \frac{1}{4}[/tex]

The expression [tex]log_{16} 2=\frac{1}{4}[/tex] becomes

[tex]2 = {16}^{\frac{1}{4}}[/tex]

[tex]3.\ 2^z=y[/tex]

Write in logarithm form

Using the law of logarithm which says if

[tex]b^x =A[/tex]

then

[tex]log_b A=x[/tex]

By comparison;

b = 2; x = z and A = y

The expression [tex]2^z=y[/tex] becomes

[tex]log_2 y=z[/tex]

The given equations written in exponential or logarithmic form as the case is is;

1) 2⁴ = 16

2)16^(¼) = 2

3) Log_2_y = z

Usually in logarithmic exponential functions expressions;

When we have;

Log_n_Y = 2

It means that; n² = Y

Applying that same principle to our question means that;

1) log_2_16 = 4

This will now be;

2⁴ = 16

2) log_16_2 = ¼

This will now be;

16^(¼) = 2

3) For 2^(z) = y

We have;

Log_2_y = z

Read more about properties of logarithmic exponents at; https://brainly.com/question/10005276

Answer:

100%

Step-by-step explanation:

The numbers odd or greater than 1 are 1, 2, 3, 4, 5, and 6.

6 numbers out of 6.

6/6 = 1.

P(odd or greater than 1) = 100%

Answer:

100%

Step-by-step explanation:

So the original fraction is 6/6 because is is odd and 3 and 5 also 2,4,6 are all more than 1.

Answer:

Area of Rectangle A

[tex]Area = 4x^2[/tex]

Area of Rectangle B

[tex]Area = 2x^2[/tex]

Fraction

[tex]Fraction =\frac{2}{3}[/tex]

Step-by-step explanation:

From the attached, we understand that:

The dimension of rectangle A is 2x by 2x

The dimension of rectangle B is x by 2x

Area of rectangle is calculated as thus;

[tex]Area = Length * Breadth[/tex]

Area of Rectangle A

[tex]Area = 2x * 2x[/tex]

[tex]Area = 4x^2[/tex]

Area of Rectangle B

[tex]Area = x * 2x[/tex]

[tex]Area = 2x^2[/tex]

Area of Big Rectangle

The largest rectangle is formed by merging the two rectangles together;

The dimension are 3x by 2x

The Area is as follows

[tex]Area = 2x * 3x[/tex]

[tex]Area = 6x^2[/tex]

The fraction of rectangle A in relation to the largest rectangle is calculated by dividing area of rectangle A by area of the largest rectangle;

[tex]Fraction = \frac{Rectangle\ A}{Biggest}[/tex]

[tex]Fraction =\frac{4x^2}{6x^2}[/tex]

Simplify

[tex]Fraction =\frac{2x^2 * 2}{2x^2 * 3}[/tex]

[tex]Fraction =\frac{2}{3}[/tex]

Answer:

first, find the area of the circle cut.

r= 3 feet

π=3.14

area of a circle= πr²= 3.14×3×3= 28.26 sq.feet

Now, find the area of the rectangle and subtract it by the area of the circle.

area of rectangle = l×b

length of the rectangle= 16 feet

breadth/width of the rectangular garden= 14 feet

area=  16×14= 224 sq. feet

now, area of the garden surrounding the koi pond=  224-28.26

                                                                                     =195.74 sq. feet

Answer:

A. 195.74

Step-by-step explanation:

Edge2020

Answer:

Probability is 1

Step-by-step explanation:

We are given;

mean;μ = $2,075

Standard deviation;σ = $300

n = 55

x' = $1,985

Now, we want to find x' to be at least $1,985 which is P(x' > $1,985).

The z-value is calculated from;

z = (x' - μ)/(√σ/n)

Plugging in the relevant values;

z = (1985 - 2075)/(√300/55)

z = -38.536

So, P(x' > $1,985) = P(z > -38.536)

This transforms to;

P(z < 38.536)

Probability from z distribution table is 1

Answer:

lateral area =150 square feet

Step-by-step explanation:

lateral area =(perimieter of prism base) times the height of the prism

so, the perimeter of the base is 9 ft*2 + 6 ft*2 which equals 30 ft

then you multiply the perimeter of the base by the height of the prism

so, height of prism =5 ft, so 5 ft times 30 ft =150 feet

therefor, the lateral area of the prism = 150 feet squared

Answer:

A) S,T,R

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

to find angle :

x =180 - 150=30

y =180-80=100

z = 180-130=50

so, 30+50+100=180

Answer:

[tex]2a=6b\\a=3b[/tex]

Step-by-step explanation:

Let [tex]a[/tex] equal the amount of apples and [tex]b[/tex] equal the amount of bananas.

[tex]2a=6b\\a=3b[/tex]

Answer:

every 2 apples there

are 6 bananas​

Step-by-step explanation:

2a=6b

Answer:

[tex]y =log_e(x+3)[/tex]

Step-by-step explanation:

It is given that the graph corresponds to a natural logarithmic function.

That means, the function [tex]y[/tex] has a natural log (Log with base [tex]e[/tex]) of some terms of x.

It is given that asymptote of given curve is at [tex]x= -3[/tex]. i.e. when we put value

[tex]x= -3[/tex], the function will have a value [tex]y \rightarrow \infty[/tex].

We know that natural log of 0 is not defined.

So, we can say the following:

[tex]log_e(x+a)[/tex] is not defined at [tex]x= -3[/tex]

[tex]\Rightarrow x+a =0\\\Rightarrow x = -a[/tex]

i.e. [tex]x =-a[/tex] is the point where [tex]y \rightarrow \infty[/tex]

a = 3

Hence, the function becomes:

[tex]y =log_e(x+3)[/tex]

Also, given that the graph crosses x axis at x = -2

When we put x = -2 in the function:

[tex]y =log_e(-2+3) = log_e(1) = 0[/tex]

And y axis at 1.

Put x = 0, we should get y = 1

[tex]y =log_e(0+3) = log_e(3) \approx 1[/tex]

So, the function is: [tex]y =log_e(x+3)[/tex]