Solve x for this diagram

Answer: With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent)

Step-by-step explanation:

On solving the provide question, we got that - [tex]x^4+2x^3-x^2+7x+11[/tex] is not  a quintic binomial

A mathematical word raised to the fifth power of the independent variable. B. Or 5th order polynomial in the form of 5th order or 5th order for 5th order (not equivalent).

A polynomial of degree 5. Examples: x5 – x3 + x, y5 + y4 + y3 + y2 + y + 1, and 42a3b2.

[tex]x^4+2x^3-x^2+7x+11[/tex] is not  a quintic binomial

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Althea will have a $4625.32 compound amount in the account in 8 years.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. Compound interest is computed as interest on the initial principal plus any accrued interest from prior periods.

Given,

Principal (P) = $3,500

rate of interest (r) =3.5% = 0.035

for compounded quarterly (n) = 4

time (t) = 8 years

The compound amount is given by

[tex]A = P(1+\frac{r}{n})^{nt}\\A = 3500(1+\frac{0.035}{4})^{4*8}[/tex]

A = 4625.32

Hence, Althea will have $4625.32 in the account in 8 years.

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The statement "In a normal distribution, the z-score for the mean is 0" is true. A z-score describes how many standard deviations a data item in a normal distribution lies above or below the mean. Since the mean of a normal distribution is defined as the value at which the distribution is centered, a data item with a value equal to the mean will have a z-score of 0.

Therefore, the correct answer is option A: "The statement is true because a z-score describes how many standard deviations a data item in a normal distribution lies above or below the mean." Option B, C, and D are all false because they do not accurately describe the relationship between z-scores and the mean in a normal distribution.

Answer:

False, a transformation is the one that stretches or compresses the graph. A translation just shifts the graph up, down, left, or right.

Answer: False

Step-by-step explanation:

A translation is just moving the graph up, down, left, and right! It doesn't make a graph bigger or smaller, so this is a False

The solution of the equations 18x - 2y = -4 and 4x - y = -2 is (0,-2). Hence option c is the correct option.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given pair of equations is

18x - 2y = -4  ....(i)

4x - y = -2    .....(ii)

To solve the equation apply elimination method.

Multiply equation (ii) by 2 and subtract it from (i):

18x - 2y = -4

8x - 2y = -4

(-)  (+)     (+)

_________

10x = 0

x = 0

Putting x = 0 equation (ii)

0 - y = -2

y = 2

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Answer:Calcula el número si 30 menos el triple del número es cuatro veces la diferencia del triple del número más 10

Step-by-step explanation:

Answer: Acute Angle

Step-by-step explanation: It is less than 90 degrees (right angle) so it is an acute angle

Answer:

Step-by-step explanation:

Acute Angle 100% Correct!!

Answer:

[tex] \sqrt[3]{z} [/tex]

Step-by-step explanation:

The speed in kilometres per hour is 28.8 km/hr.

The distance in kilometres the cyclist will travel in 5 hours is 144 km.

A cyclist rides her bike at a speed of 18 miles per hour. The speed in kilometres per hour an be calculated as follows;

1 miles = 1.6 km

18 miles = ?

cross multiply

distance in km = 18 × 1.6

distance in km = 28.8 km

Therefore, the speed  in kilometres per hour is 28.8.

The kilometres the cyclist will travel in 5 hours can be calculated as follows;

speed = distance / time

28.8 = d / 5

cross multiply

distance travelled in km = 28.8 × 5

Therefore,

distance travelled in km = 144 km

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Answer:

[tex]\huge{\boxed{82.8\text{ units}}}[/tex]

Step-by-step explanation:

Because the triangles have all of the same angles, similarity can be proven via AAA.

Now that ΔJKL ~ ΔMNO, the sides must be proportional.

Because the sides are proportional, the following equation can be made:

[tex]\frac{24}{20}=\frac{x}{22}[/tex]

Via cross-multiplication, the equation simplifies to:

20x = 24 * 22

20x = 528

x = 26.4

Now, because perimeter is simple the sum of all sides, the perimeter of ΔMNO is simply 32.4 + 24 + 26.4, or 82.8.

Hope it helps :) and let me know if you want me to elaborate.

Step-by-step explanation:

The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.

Answer:

Yeah, √(25) is 5.

Step-by-step explanation:

Given problem,

→ √(25) = 5

Checking the equation,

→ √(25) = 5

→ 25 = (5)²

→ 25 = 25

→ LHS = RHS

Thus, equation is proved.

Answer:

(-3.25,3.75)

Step-by-step explanation:

Thuis can be answered with either of two approaches:  Graphing and Matematical.  We'll do both:

Graphing

Graph both equations.  It is helpful to use a free online graphing utility:  DESMOS.

The attached graph reveals the intersection of the lines at point (-3.25, 3.75).

Matematical

Solve the equations be using substitution.  Rearrange either equation to isolate one of the two variables (x or y).

Lets use the second, since y is already isolated, making the task simple and fast.  But the other equation could also be used, if desired.

y=x+7

Now use this expression of y in the other equation:

9x+3y=-18

9x+3(x+7)=-18

9x +3x +21 = -18

12x = -39

x = -(39/12)

x = -3 - (3/12)

x = -3.25

Now use x= -3.25 in either equation tand solve for y:

y=x+7

y=(-3.25)+7

y = 3.75

The solution to this series of equations is (-3.25,3.75)

On solving the question, The possible combinations when choosing two letters randomly are: T-I, T-M, T-E, I-T, I-M, I-E, E-T, E-M, E-I, M-I, M-T, M-E.

When the order of selection is irrelevant, the mathematical operation of combining counts the number of possible configurations for a set of elements.

[tex]Letters are given as - T I M E[/tex]

Given that there is no alternative for the choice, we have the following number of possibilities:

[tex]= > n = 4^2\\[/tex]

here -

4 =the number of letters

2 =the number of selection

so, n= 16

The choices are then shown as follows:

TI, TM, TE

IT, IM, IE

MT, MI, ME

ET, EI, ET

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Answer:

GE is congruent to GE

Step-by-step explanation:

This is true because both triangles use this same line, so it is referred to as the reflexive property.

Answer:

d=12 and the remainder is -42

Step-by-step explanation:

a.

put x=1 into f(x)

6(1)³-7(1)²-11(1)+d=0

6-7-11+d=0

-12+d=0

d=12

b.

Put x=-2 into the polynomial

6(-2)³-7(-2)²-11(-2)+12

6(-8)-7(4)+22+12

-48-28+22+12

-42

Answer: 27

Step-by-step explanation:

You know that the whole shape equals 180. So you add 133+20=153 then subtract that from 180 and that should give you 27.

Hope that helps!

Answer: No solution

Step-by-step explanation:

3(2x + 3) - 3x = 9 + 3x

6x + 3 - 3x = 9 + 3x - 3x

6x + 3 - 6x = 9

3 = 9

No solution

The value of the function g(f(x)) is 2x² - 8x + 11.

What is function?

g(x) = x² + 6

f(x) = 2x - 4

g(f(x)) = (2x-4)² + 6

= 4x² - 16x + 16 + 6

= 4x² - 16x + 22

= 2x² - 8x + 11

Hence, the value of the function g(f(x)) is 2x² - 8x + 11.

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The line segment will be needed to create step 4 is 30. Hence option D is the correct option.

What is line segment?

Line segment is line whose distance fixed. There are two fixed end points. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

The number of line segment in step 1 is 2.

The number of line segment in step 2 is 6.

The number of line segment in step 3 is 14.

Now finding the pattern:

Step 2: 6 = 2 × 2 + 2

Step 3: 14 = 6 × 2 + 2

The number of line segment is equal to 2 more than 2 times the number of line segment of previous step.

According to this pattern,

step 4: 14 × 2 + 2 = 30

The number of line segment is 30.

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6000 dollars at 5% compounded daily for 3 years will amount to $6,970.93.

Compound interest is the interest you earn on interest.  In other words, compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula can be use to find the amount of the money after 3 years.

Using the compound interest formula,

[tex]A = p(1 + \frac{r}{n} )^{nt}[/tex]

where

Therefore,

p = 6000 dollars

rate = 5% = 0.05

n = 365

t = 3

Hence,

[tex]A = 6000(1+\frac{0.05}{365} )^{(365)(3)}[/tex]

A = 6,000.00(1 + 0.00013698630136986)¹⁰⁹⁵

Therefore,

A = $6,970.93

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The total area of the two shaded faces of the cuboid below is = 112[tex]cm^{2}[/tex]

Since the two shaded faces of the cuboid shown are adjutant to each other and are of the same dimensions so according to the calculations -

Let us consider only one side of the shaded portion-

The length of the shaded part = 8cm

The width of the shaded portion = 7cm

So it appears that due to the uneven measure of length and breath this is a rectangle, so the area of a rectangle

= [ length (l) x width(w) ]

= 8cm x 7cm

= 56[tex]cm^{2}[/tex]

Since the question asks the total area of both sides so because both the shaded sides are equal then total area = 56 x 2 = 112    [tex]cm^{2}[/tex]

Therefore, the total area of the shaded faces of the cuboid = 112[tex]cm^{2}[/tex]

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The correct statements regarding the congruent triangles are given as follows:

Congruent triangles are triangles in which the outer side lengths have the same measure.

Then the triangles ABC and triangle MNO are congruent by a sequence of rotations and translations, as both are right triangles.

Triangle JKL and triangle ABC are congruent by a single rotation, as the distances between the vertices of each triangle are equal.

The problem is given by the image shown at the end of the answer.

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Answer: 2.5 inch

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Pick point 7    and sub into the equations

 eq 1    not equal to 10

 eq 2    not equal to 12

 eq 3     is equal to 15

 eq 4     not equal to 18

Now sub in the value of  -3 into equation 3     Yes equal to 15  

  so answer is   eq 3

       numbers greater than 7   and less than -3 are also true ....

Answer:

Step-by-step explanation:

Let ABC be an isosceles triangle with lateral sides AB and AC, a base of BC, and medians of AC and AB, respectively, at BD and CE.

In  △ACE  and  △ABD ,

AB≅AC  lateral sides of isosceles triangle

∠A≅∠A  common angle

AE≅AD  half segments of equal lateral sides

As a result, ACE ≅ABD according to the side angle side theorem. as a result, median BD is consistent with median CE.

If any two figures can be positioned exactly over one another, the congruence between them can be seen. The relationship between two figures is referred to as their congruence, and is expressed using the word "congruence".

In other terms, two geometric figures are said to be congruent if they can be superimposed on one another.

All figures, including triangles, quadrilaterals, and other shapes, have this feature. Along with figures, line segments and angles that have the same measure are also said to be congruent. To comprehend what congruent figures represent, look at the following figure.

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Answer:

Step-by-step explanation:

The expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

Option (C) is correct.

What is a discount?

A discount is a reduction in the price of a product or service. It can be offered for a variety of reasons, such as to encourage customers to make a purchase or to clear inventory. Discounts can be expressed as a percentage off the original price, or as a fixed dollar amount.

Part A: The expression that would calculate the final price of a hat is h(0.775)(1.08875). This takes into account the 22.5% discount by multiplying the original price by 0.775, and then adds the 8.875% sales tax by multiplying the discounted price by 1.08875.

Part B: If the original price of a hat is $42, then the final price of buying four hats after the discount and sales tax would be $42 x 4 x 0.775 x 1.08875 = $142.

Hence, the expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

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15,386 ft² an area of helicopter pad covers .

What does a circle's area mean?

The area a circle occupies in a two-dimensional plane is known as the area of the circle. It can be simply calculated using the formula A = r2, (Pi r-squared), where r is the circle's radius.

                          Area is measured in square units, such as m2, cm2, etc. Where = 22/7 or 3.14, the area of a circle is equal to r2 or d2/4, in square units.

D = 140

r = 140/2 = 70

area of helicopter = πr²

                              = 3.14 ×70 × 70

                              = 15,386 ft²

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