MATHEMATICS COLLEGE

A submarine at - 45 feet dives 50 feet. Write an expression to represent the submarine's elevation. Need help

Answers

Answer 1

Answer:

-150+(-45)= -195

Negative since it’s deeper

this might be yo answer im not sure

i hope this helped u tho

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|-9×+7|+8 is less than or equal to 9

What is the sum of two solutions of the quadratic equation ax^2+bx+c=0

Answers

if we were to use the quadratic formula, we would get that the roots are

$(-b\pm√(b^2-4ac))/(2a)$

or that the 2 seperate roots are

$(-b+√(b^2-4ac))/(2a)$ and $(-b-√(b^2-4ac))/(2a)$

if we sum these, then the $√(b^2-4ac)$ bits will cancel and we wil be left with

$(-b-b)/(2a)$ or $(-2b)/(2a)$ or $(-b)/(a)$

the sum of the solutions is $(-b)/(a)$

Try this option:

According to the properties of the quadratic equation the sum of its roots is '-b', in other words x₁+x₂= -b

Answer: -b

Jessica's annual salary decreased by 3800, which was a 9% decrease. what was Jessica's original salary?

Answers

The original annual salary of Jessica is 42222

Let the original annual salary of Jessica be represented by x.

Percentage decrease in salary = 9%

Amount of the decrease = 3800

Therefore, based on the information given, the equation to solve the question will be:

9% × x = 3800

0.09 × x = 3800

0.09x = 3800

Divide both side by 0.09

0.09x/0.09 = 3800/0.09

x = 42222

Therefore, the original annual salary of Jessica is 42222.

Read related link on:

brainly.com/question/19063587

Answer:

Step-by-step explanation:

x = original salary

$3800 = (1-9%)x = (1-0.09)x = 0.91x

x = $3800/0.91 = $4175.82

Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

Data taken from a random sample of 60 students chosen from the student population of a large urban high school indicated that 36 of them planned to pursue post-secondary education. An independent random sample of 50 students taken at a neighboring large suburban high school resulted in data that indicated that 31 of those students planned to pursue post-secondary education. Do these data provide sufficient evidence at the 5% level to reject the hypothesis that these population proportions are equal

Answers

Answer:

No, these data do not provide sufficient evidence at the 5% level to reject the hypothesis that these population proportions are equal.

Step-by-step explanation:

We are given that data taken from a random sample of 60 students chosen from the student population of a large urban high school indicated that 36 of them planned to pursue post-secondary education.

An independent random sample of 50 students taken at a neighboring large suburban high school resulted in data that indicated that 31 of those students planned to pursue post-secondary education.

Let $p_1$ = population proportion of students of a large urban high school who pursue post-secondary education.

$p_2$ = population proportion of students of a large suburban high school who pursue post-secondary education.

So, Null Hypothesis, $H_0$ : $p_1-p_2$ = 0 {means that these population proportions are equal}

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq$ 0 {means that these population proportions are not equal}

The test statistics that would be used here Two-sample z proportionstatistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{(\hat p_1(1-\hat p_1))/(n_1)+(\hat p_2(1-\hat p_2))/(n_2) } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of students of a large urban high school who pursue post-secondary education = $(36)/(60)$ = 0.60

$\hat p_2$ = sample proportion of students of a large urban high school who pursue post-secondary education = $(31)/(50)$ = 0.62

$n_1$ = sample of students of a large urban high school = 60

$n_2$ = sample of students of a large suburban high school = 50

So, the test statistics = $\frac{(0.60-0.62)-(0)}{\sqrt{(0.60(1-0.60))/(60)+(0.62(1-0.62))/(50) } }$

= -0.214

The value of z test statistics is -0.214.

Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that these population proportions are equal.

Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?

Answers

Answer:

Reese read 26 pages on Sunday.

Step-by-step explanation:

If she read twice the amount on Saturday than she read on Sunday, then you can replace the days with variables. 2x for Saturday and x for Sunday. That leaves you with 2x + x = 78. This can be simplified to 3x = 78. We can solve this by dividing both sides by 3. This leaves you with x = 26. If x represents the pages read on Sunday then Reese read 26 pages on Sunday.

Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?

Answers

Answer:

The probability is $P(X < 25) = 0.308$

Step-by-step explanation:

From the question we are told that

The amount of time is uniform probability distribution between 21 and 38 minutes.

Given that the amount of time is uniformly distributed then the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

$P(X < 25) = ( 25 - 21)/(38 - 21)$

=> $P(X < 25) = 0.308$

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You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

The difference of the present ages of two sister in 5 yrsAfter 4yrs if the product of their age becomes 104. finetheir present age-