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2 years ago

Identify proportional relationships

Mathematics

1 answer:

enot [183]2 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.

A proportional relationship always starts at zero when the independent variable is zero.

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Determine the intercepts of the line 4x-3y=17

bezimeni [28]

Answer:

x-intercept = 17/4 and y = -17/3

Step-by-step explanation:

To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.

4x - 3y = 17

4(0) - 3y = 17

0 - 3y = 17

y = 17 /-3

y = -17/3 = -5 2/3 y-intercept = -5 2/3.

The ordered pair on the graph is (0, -17/3)

4x - 3(0) = 17

4x - 0 = 17

4x = 17

x = 17/4 x-intercept = 17/4

The ordered pair on the graph is (17/4, 0)

3 0

2 years ago

Joe nas to take two quizzes tomorrow. He nas only enough time to study one of them. • The science quiz has 7 true-or-false quest

Nostrana [21]

Answer:

Step-by-step explanation:

Science questions are T/F. That's .5 or $\frac{1}{2}$ chance to get it right.

7 questions. Each with a $\frac{1}{2}$ .

That's $(\frac{1}{2})^{7}$

$(\frac{1}{2})^{7}$ = $\frac{1}{128}$ = .0078 = .008 rounded

English questions are multiple choice. 4 choices. That's .25 or $\frac{1}{4}$

3 questions. Each $\frac{1}{4}$

That's $(\frac{1}{4})^{3}$

$(\frac{1}{4})^{3}$ = $\frac{1}{64}$ = .0156 = .016 rounded

6 0

2 years ago

What is the solution to the linear equation? 4b + 6 = 2 – b + 4

Reil [10]

Answer:

$\large\boxed{b=0}$

Step-by-step explanation:

$4b+6=2-b+4\qquad\text{combine like terms}\\\\4b+6=(2+4)-b\qquad\text{add}\ b\ \text{to both sides}\\\\5b+6=6\qquad\text{subtract 6 from both sides}\\\\5b=0\qquad\text{divide both sides by 5}\\\\b=0$

8 0

3 years ago

Read 2 more answers

The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w

dimulka [17.4K]

Answer:

99% CI:

$-4.637\leq\mu_v-\mu_o\leq 3.737$

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}$

The MSE can be calculated as

$MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65$

The weighted sample size nh can be calculated as

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16$

The standard deviation then becomes

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623$

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

$\Delta M=M_v-M_o=5.10-5.55=-0.45$

Then the confidence interval can be constructed as

$\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737$

8 0

2 years ago

Solve the inequality: -1+4y < 31

ser-zykov [4K]

Let's solve your inequality step-by-step.−1+4y<31Step 1: Simplify both sides of the inequality.4y−1<31Step 2: Add 1 to both sides.4y−1+1<31+14y<32Step 3: Divide both sides by 4.4y4<324y<8

6 0

2 years ago

Read 2 more answers