hint: 180 *
1. Find the missing angle.
29
R
61
T

Answer:

answer for question 7. 0.17×70 = $11.9

Answer:

Question 1:

bill = $70

tip percentage = 17%

so tip = 70x(17/100)

= 11.9$

Question 2:

total voters = 20500

supported voters percentage = 49%

so supported voters = 20500x(49/100)

= 10045

Question 3:

price = 154$

vat percentage =5%

so vat = 154x(5/100)

= 7.7$

Answer:

Step-by-step explanation:

= > -6x + 30 < - 18

= > 30 + 18 < 6x

= > 48 < 6x

= > x > 48/6

= > x > 8...ans

The place value of 7 in words in 5.3479 is seven thousandths

The given number is 5.3479

The underlined digit has been identified as 7

The place values of each of the digits in 5.3479 are:

5 = 5 units

3 = 3 tens

4 = 5 hundredths

7 = 7 thousandths

9 = 9 ten thousandths

Therefore, the place value of 7 in words in 5.3479 is seven thousandths

Learn more here: https://brainly.com/question/25750254

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

Answer:

I understand how that feels

Step-by-step explanation:

Answer:

175% increase

Step-by-step explanation:

Answer:

372

Step-by-step explanation:

1 sec=31 feet

10 sec=310 feet

12 sec=372 feet

Answer:

Sally shouldn't be alone she has down syndrome.

Step-by-step explanation:

(

x

−

12

)

2

+

(

y

−

11

)

2

=

25

Answer:

x > -5

Step-by-step explanation:

-12x < 60

To solve the equation for x, we want x to be by itself on one side.  Let's start by dividing both sides by -12:

-12x/-12 < 60/-12

When dividing or multiplying by a negative number, we have to turn around the inequality sign, so now we have:

x > 60/-12

And 60/-12 = -5, so:

x > -5

Answer: the value of y is 1

Step-by-step explanation: 6=2 x 1+2

Based on the information how long did it take to reach $10650 is 7years.

Given:

Principal=$7,500

Rate=6%

Amount=$10650

Time=?

Simple Interest(SI)=A-P

=$10650-$7500

=$3150

Time=(100×SI)/(p×r)

T=(100×3150)/(7500×6)

T=315,000/45,000

T=7 years

Inconclusion how long did it take to reach $10650 is 7years.

Learn more here:

https://brainly.com/question/15610358

The period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.

The future value refers to the compounded value of present cash flows in the future, using an interest rate.

The future value can be determined using the future value table or formula.

We can also determine the future value using an online finance calculator, which also enables us to determine the period required to get a stated future value.

PV (Present Value) = $7,500

I/Y (Interest per year) = 6%

PMT (Periodic Payment) = $0

FV (Future Value) = $10,650

Results:

N (# of periods) = 6 years

Total Interest = $3,142.17

Thus, the period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.

Learn more about future values and periods at https://brainly.com/question/12890404 and https://brainly.com/question/20392017

Testing the hypothesis using the z-distribution, it is found that the statement is False.

At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.

Looking at the z-table, z = -1.5 has a p-value of 0.0668.

Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.

A similar problem is given at https://brainly.com/question/16695704

y= -3/2x - 3

putting them firstly in the point slope formula and then distributing ...... I can't really explain what I did so here is the picture

Answer:8x-40

Step-by-step explanation:

Because when we simply 4(x-5)/2

We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).

Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help

Answer:

Step-by-step explanation:

V = 4πR³/3 + πR²h

h = (V - 4πR³/3) / πR²

A =  4πR² + 2πRh

A =  4πR² + 2πR((V - 4πR³/3) / πR²)

A =  4πR² + 2((V - 4πR³/3) / R)

A =  4πR² + 2V/ R - (8πR³/3) / R

A =  4πR² + 2(14)/ R - 8πR²/3

A =  (4π - 8π/3)R² + 28/R

A =  (4π/3)R² + 28/R

dA/dR = (8π/3)R - 28/R²

       0 = (8π/3)R - 28/R²

28/R² = (8π/3)R

     R³ = 28(3 / 8π)

      R = 1.49513...

      R = 1.50 cm

which makes the cylinder height 0.00 cm. The figure is a sphere.

Answer:

I think 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x < 4 - 1   or x > 31/9

3x < 3 or x > 31/9

x < 1  or x > 31/9

Using the lognormal and the binomial distributions, it is found that:

In a lognormal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem:

Question 1:

The 90th percentile is X when Z has a p-value of 0.9, hence X when Z = 1.28.

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

[tex]1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}[/tex]

[tex]\ln{X} - 3.5 = 1.28\sqrt{1.22}[/tex]

[tex]\ln{X} = 1.28\sqrt{1.22} + 3.5[/tex]

[tex]e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}[/tex]

[tex]X = 136[/tex]

The 90th percentile of this distribution is of 136 dB.

Question 2:

The probability is the p-value of Z when X = 150, hence:

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

[tex]Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}[/tex]

[tex]Z = 1.37[/tex]

[tex]Z = 1.37[/tex] has a p-value of 0.9147.

There is a 0.9147 = 91.47% probability that received power for one of these radio signals is  less than 150 decibels.

Question 3:

10 signals, hence, the binomial distribution is used.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that [tex]p = 0.9147, n = 10[/tex], and we want to find P(X = 6), then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065[/tex]

There is a 0.0065 = 0.65% probability that for  6 of these signals, the received power is less than 150 decibels.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

4.5

Step-by-step explanation:

We are here given that ,

=> f(x) = 2x - 5

=> y = 2x - 5

Replace x and y with each other .

=> x = 2y - 5

solve for y ,

=> 2y = x +5

=> y = (x+5)/2

=> f-¹(x) = (x+5)/2

Now ,

=> f-¹(4) = 4+5/2 = 9/2 = 4.5

Answer:

6) 25.57

7) .9

8) don't see a number underlined

Step-by-step explanation:

Answer:

Collect terms in x on the left side  

subtract  

b

x

from both sides

a

x

−

b

x

=

−

c

take out a  

common factor  

x

x

(

a

−

b

)

=

−

c

divide both sides by  

a

−

b

x

=

−

c

a

−

b

Step-by-step explanation:

im sorry if its not cleear to explain

Answer:

should be 64:3

Step-by-step explanation:

divide by 10

The expression above can be resolved to become; (5a + b)³

According to the question:

To resolve the expression given;

However; the expression above can be factorised to become;

Upon expansion; (5a + b)³ yields the expression gotten earlier;

Learn more about equation:

https://brainly.com/question/21879915

Answer:

edficycle cycle shop luisa sella otuff

Answer:

11

Step-by-step explanation:

the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps

Answer:

Step-by-step explanation:

1. Wear safety glasses

2. Be accompanied by an adult

3. Wear proper lab clothing

4. Alert Lab instructor if an accident were to happen

5. Follow all instructions given by lab instructor