All categories

3 years ago

| 10 - 7 | over 4 - | -15 + 8 | over 6simplified

Mathematics

1 answer:

blagie [28]3 years ago

7 0

Start from

$\dfrac{|10-7|}{4} - \dfrac{|-15+8|}{6}$

Perform the additions inside the absolute values:

$\dfrac{|3|}{4} - \dfrac{|-7|}{6}$

The absolute value does nothing to positive numbers, while it switches the sign of negative numbers, so |3|=3 and |-7|=7:

$\dfrac{3}{4} - \dfrac{7}{6}$

Transform both fractions so that they have the same denominator:

$\dfrac{9}{12} - \dfrac{14}{12} = \dfrac{-5}{12}$

You might be interested in

Find the equation of the axis of symmetry of the following parabola algebraically. y=2x^2+16.

Inessa05 [86]

Answer:

x = 0

axis of symmbery = -b/2a or x vertex on quadratic equation

0/4=0

x=0

Step-by-step explanation:

3 0

3 years ago

X and y intercepts of y=3x-6

Slav-nsk [51]

Answer:

x intercept=2, y intercept= -6

Step-by-step explanation:

X Intercept is when the graph crosses the X Axis, point of intersection. To find it, just convert into standard form and solve for x by getting rid of y.

The Y-intercept is where the line crosses the y-axis, point of intersection. It is the constant in the slope-intercept form.

5 0

3 years ago

Read 2 more answers

{Coloring Activity!) 1 Find the value of x. (14x – 13) (8x + 5)

Sloan [31]

Answer:

Step-by-step explanation: ';iystugiup8h;klu

8 0

4 years ago

QUESTION 9

netineya [11]

The radius of the shape is c. 3ft 3in

6 0

3 years ago

Below are three different hypothesis tests about population proportions. For each test, use StatKey and the information given to

Ilia_Sergeevich [38]

Answer:

1a) p-hat=0.38

1b) P=0.08

1c) The null hypothesis is not rejected

2a) p-hat=0.64

2b) P=0.0027

2c) The null hypothesis is rejected

3a) p-hat=0.55

3b) P=0.153

3c) The null hypothesis is not rejected

Step-by-step explanation:

(1) H0: p = 0.3 vs Ha: p ≠ 0.3. In their survey, they had a count of 38 using a sample size n=100.

1a) The p-hat is p-hat=38/100=0.38.

1b) The standard deviation is

$\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.3*0.7}{100}}=0.046$

The sample size is n=100.

The z-value is:

$z=\frac{\hat{p}-p}{\sigma}=\frac{0.38-0.3}{0.046}=\frac{0.08}{0.046}= 1.74$

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.74 is P=0.08.

1c) The null hypothesis is not rejected.

(2) H0: p = 0.7 vs Ha: p ≠ 0.7. In their survey, they had a count of 320 using a sample size n=500.

2a) The p-hat is p-hat=320/500=0.64.

2b) The standard deviation is

$\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7*0.3}{500}}=0.02$

The sample size is n=500.

The z-value is:

$z=\frac{\hat{p}-p}{\sigma}=\frac{0.64-0.7}{0.02}=\frac{-0.06}{0.02}=-3$

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=3 is P=0.0027.

2c) The null hypothesis is rejected.

(3) H0: p = 0.6 vs Ha: p < 0.6. In their survey, they had a count of 110 using a sample size n=200.

2a) The p-hat is p-hat=110/200=0.55.

2b) The standard deviation is

$\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.6*0.4}{200}}=0.035$

The sample size is n=200.

The z-value is:

$z=\frac{\hat{p}-p}{\sigma}=\frac{0.55-0.6}{0.035}=\frac{-0.05}{0.035}=-1.43$

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.43 is P=0.153.

2c) The null hypothesis is not rejected.

8 0

3 years ago