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3 years ago

5

Answer asap pllsssssss

1 answer:

Margaret [11]3 years ago

4 0

Answer:

x + 3 = 14

Step-by-step explanation:

x + 3 = 14

x = 14 - 3

x = 11

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Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%

grandymaker [24]

Answer:

$A=42000(1.04)^n$

Step-by-step explanation:

This is a compound interest formula expressed as:

$A=P(1+i)^n$

Where:

$n$ is time in years
$i$ is the rate of interest
$A$ is the accumulated amount after n years
$P$ is the initial amount.

#We substitute the given values to determine amount after n years as follows:

$A=P(1+i)^n\\\\=42000(1+0.04)^n\\\\=42000(1.04)^n$

Hence, the amount earned after n years is given by the expression $A=42000(1.04)^n$

6 0

3 years ago

the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b

vazorg [7]

The value of a and b from the coordinates are 3 and 5 respectively

<h3>Midpoint of coordinates</h3>

The formula for finding the midpoint of two coordinates is expressed as;

M(x, y) = {x1+x2/2, y1+y1/2}

Given the following coordinates

M(a, 4)

A(1,3)

B(5,b)

Using the formula

a = 1+5/2

a = 6/2

a = 3

Similarly

4 = 3+b/2

8 = 3+b

b = 8-3

b = 5

Hence the value of a and b from the coordinates are 3 and 5 respectively

Learn more on midpoint here: brainly.com/question/18315903

#SPJ1

6 0

2 years ago

Read 2 more answers

Over the summer, for every 11 okra seeds Dana planted, 6 grew into plants. If he planted 110 okra seeds, how many grew into plan

PilotLPTM [1.2K]

Answer:

A

Step-by-step explanation:

write it as a ratio

11:6 = 110: x

cross multiply

11x= 660

divide by 11 on both sides

x= 60

5 0

3 years ago

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

b

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

So

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago

You toss a coin 15 times. P( heads) 2/5=

PIT_PIT [208]

The answer is

2/5 = 0.4

Because

2/5 2 divide 5 = 0.4

4 0

3 years ago