Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
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Answer:

$625

Step-by-step explanation:

You start with $500

The interest per year is 5% or 500 x 0.05 = $25

If it matures 5 years and each year has an increase of $25 then

Year 1 - $525

Year 2 - $550

Year 3 - $575

Year 4 - $600

Year 5 - $625

Answer:

Step-by-step explanation:

We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3

#1. 2x-3y=-1 and y=x-1

#2. y=6x-11 and -2x-3y=-7

#3. y=-3x+5 and 5x-4y=-3

Answer:

C. Angle I and Angle H

Step-by-step explanation:

The congruncy lines on either side of the triangle show that.

An isosceles triangle has two congruent angles.

The two angles that must be congruent are: [tex]\mathbf{\angle I \cong \angle H}[/tex]

From the figure, we observe that side lengths HJ and HI are congruent.

The above highlight means that: the angles at the other points of HJ and HI.

The common point of HJ and HI is H, while the other points are J and I

So, the angles at J and I are congruent.

Hence, the correct option is (c)

Read more about isosceles angles at:

https://brainly.com/question/21736141

Answer:

0.0806

Step-by-step explanation:

From the given information:

Number of toss = 50

The probability of having a head = 1/2 = 0.5

The Probability of 8th head occur on 12th toss can be computed as :

Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)

Pr(8th head occur on 12th toss) =  C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5

Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5

Pr(8th head occur on 12th toss) =  0.0806

Answer:

The probability of 8th heads,

That is occurred on 12th toss.

Step-by-step explanation:

A coin is tossed 50 times.

There are two possible outcomes of occurring a head or tail.

Probability of occurring head = no.of head/ possible outcomes

                                                    = 1/2

Total number of tossing a coin= 50 times

Probability of 8th heads occurs on 12th toss:

                                                         12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12

                                 =         12C8  (1/2)8+9+10+11+12

                                                    = 12C8  (1/2)50

                                  = 12C8   / 250

                                                       = 495 / 1125899906842624

                                  = 4396.48317752 x 10-16

This is the probability of 8th heads,

That is occurred on 12th toss.

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

Answer:

2.79 kilometers

Step-by-step explanation:

4.5/1.61

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

Answer:

Find the midpoint of the line segment joining the points ​R(​,​) and ​S(​,​).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)

= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96

Answer:

She needs 12 cups of flour to make bread

Step-by-step explanation:

9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!

Answer:

44 hours

Step-by-step explanation:

just do 22 x 2

Answer:

6.33 × 10⁻³

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.

Answer:

6.33 × 10[tex]^{-3}[/tex]

Step-by-step explanation:

** The negative three is supposed to be an exponent **

Answer:

X=6 3/4

Step-by-step explanation:

IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS

9514 1404 393

Answer:

  7

Step-by-step explanation:

All of the digits in the given number are significant. There are 7 significant digits.

__

Comment on other cases

When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.

When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.

In a number with no decimal point, the leading and trailing zeros are not significant.

If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)

Answer:

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

Step-by-step explanation:

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Dilation can also be referred to as scale factor

6cm × 2.25 = 13.5 cm

9 cm × 2.25 = 20.25 cm

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

Answer:

it lies between 16 and 18

Step-by-step explanation:

Answer:

16 and 18

Step-by-step explanation:

Answer:

20 i think

Step-by-step explanation:

Answer:

B. P(B/A)=P(B)

Answer:

?

Step-by-step explanation:

Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

∴ x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

∴ x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

∴ M = (1, 3.5)

∴ The coordinates of the midpoint of LB are (1, 3.5)