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zimovet [89]
3 years ago
10

Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after tha

t. He writes the expression 10+0.5(d−1) to find the amount of money in his account after d days. Which statement about his expression is true?
Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

it is the sum of the initial amount and the additional amount after d days

Step-by-step explanation:

yw!!.

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The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o
andrey2020 [161]

Answer:

D. 54,900

Step-by-step explanation:

We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.

To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.

First of all, we will find z-score corresponding to probability 0.975(1-0.025) using normal distribution table.  

From normal distribution table, we get z-score corresponding is 1.96.

Now, we will use z-score formula to find sample score as:

z=\frac{x-\mu}{\sigma}, where,

z = Z-score,

z = Sample score,

\mu = Mean,

\sigma = Standard deviation

1.96=\frac{x-50,000}{2,500}

1.96*2,500=\frac{x-50,000}{2,500}*2,500

4900=x-50,000

4900+50,000=x-50,000+50,000

54900=x

Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.

4 0
3 years ago
Least to greatest -2, -3/4, -0.45, 3%, 0.36
Crank

Answer:

\large\boxed{-2,\ -\dfrac{3}{4},\ -0.45,\ 3\%,\ 0.36}

Step-by-step explanation:

We convert some numbers to decimal fractions:

-2 = -2.00

-3/4 = -0.75

-0.45

3% = 0.03

0.36

We order

-2, -0.75, -0.45, 0.03, 0.36

\dfrac{3}{4}=\dfrac{3\cdot25}{4\cdot25}=\frac{75}{100}=0.75

other method

\dfrac{3}{4}=3:4=0.75        (use a calculator)

p\%=\dfrac{p}{100}\to 3\%=\dfrac{3}{100}=0.03

8 0
3 years ago
What is the average rate of change of f(x)=-2x+1 from x=-5 to x=1?
WARRIOR [948]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a pers
Arturiano [62]

Answer:

A person who watches 8.5 hours of TV can do 30.4 sit ups.

Step-by-step explanation:

The regression equation is used to predict or estimate the value of the response (or dependent) variables using the information about the explanatory (or predictor) variables.

The general form of a regression equation is:

y=ax+b

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

The regression equation representing the relationship between hours of TV watched per day (<em>x</em>) and number of sit ups a person can do (<em>y</em>) is:

y=-0.74x+36.359

Compute the number of sit ups a person who watches 8.5 hours of TV can do as follows:

y=-0.74x+36.359

  =(-0.74\times 8.5)+36.359\\=-6.29+36.659\\=30.369\\\approx 30.4

Thus, a person who watches 8.5 hours of TV can do 30.4 sit ups.

6 0
3 years ago
X-y=3 in slope intercept form and find x and y intercepts​
Dominik [7]

Answer:

x intercept is x=3

y intercept is y=-3

Step-by-step explanation:

We can write this equation in a simpler way to find the values needed. Lets do it. Take:

x-y=3

And sum y in both sides, as we know the equality will maintain:

x-y+y=3+y

x = 3+ y

Now subtract 3 in both sides:

x-3 = y+3-3

x-3=y

So, we can rewrite our equation as y=x-3

The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:

x-3 = 0

If we sum 3 in both sides:

x-3+3=3

x=3

So, x=3 is x intercept

For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:

0-3=y

y=-3

Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.

7 0
3 years ago
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