All categories

3 years ago

Simplify the expression.

Mathematics

1 answer:

Mashcka [7]3 years ago

3 0

Answer:

-2.5

Step-by-step explanation:

-0.25x-6-5.5x-8.4=0

-5.75x-14.4=0

-5.75x=14.4

x= -2.5

You might be interested in

A stray dog ate 25 of your muffins that was 5/6 of all of them with how many did you start?

Maru [420]

Answer:

30 = total muffins

Step-by-step explanation:

To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten

eaten muffins = total muffins * fraction

25 = total muffins* 5/6

Multiply each side by 6/5

6/5*25 = total muffins *5/6*6/5

30 = total muffins

3 0

3 years ago

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud

iris [78.8K]

Answer:

$-0.048$

Do not reject $H_0:P_1-P_2=0$

Step-by-step explanation:

From the question we are told that

Sample size $n_1=350$

Sample size $n_2=250$

Sample proportion 1 $\hat P= \frac{25}{350} =>0.07$

Sample proportion 2 $\hat P= \frac{19}{250} =>0.076$

95% confidence interval

Generally for 95% confidence level

Level of significance

$\alpha = 1-0.95=>0.05$

$\alpha /2=\frac{0.05}{2} =>0.025$

Therefore

$Z_a_/_2=1.96$

Generally the equation for confidence interval between $P_1 - P_2$ is mathematically given as

$(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }$

$(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }$

$(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }$

$(-0.006)\pm 0.042$

$(-0.006)- 0.042=>-0.048$

$(-0.006)+ 0.042=>0.036$

Therefore

Confidence interval is

$-0.048$

Conclusion

Given the confidence interval has zero

Therefore do not reject $H_0:P_1-P_2=0$

6 0

2 years ago

The length and width of a rectangle are in a 7:2 ratio. Find the width of the perimeter is 72.

scoray [572]

length = 7x
width = 2x

2(7x + 2x) = 72
7x + 2x = 72/2
9x = 36
x = 36/9
x = 4

width = 2x = 2 * 4 = 8 units

7 0

2 years ago

Is 4(5a-8)+2a equivalent to 12a-6

dem82 [27]

No, it would end up being 20a-32 which is not equivalent to 12a-6

8 0

3 years ago

Read 2 more answers

What does the fundamental theorem of algebra and its corollary tell you about the roots of the polynomial equation p(x)=0 where

denis23 [38]

Answer:

A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.

Step-by-step explanation:

We are given a polynomial p(x) in the question with degree n.

The degree n means the n is the highest power of variable in the given polynomial.

The equation:

$p(x) = 0$

Fundamental theorem of Algebra

The Fundamental theorem of Algebra states that a a polynomial of degree n will have n roots of the equation.

This can further be explained as:

A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.

3 0

2 years ago