Algebra 1 Chapter 5 test

What is the explicit formula for this sequence?

lora16 [44]

Answer:

O D. an = 2(5)"

Step-by-step explanation:

Given the expression/sequence below

2, 10, 50, 250, 1250, ...

O D. an = 2(5)"

The explicit formula is C

a0= 2*5^0= 2

a1=2*5^1= 10

a2= 2*5^2= 50

a3=2*5^3= 250

a4=2*5^4= 1250

3 0

3 years ago

The opposite angles of a rhombus are equal. a. True b. False

Sergeu [11.5K]

The answer is a, all rhombuses have equal sides, if they have equal sides then day have equal angles.

5 0

3 years ago

Read 2 more answers

Which equation represents a proportional relastionship that has a constant of proportionality equal to 4/5

enyata [817]

Answer:

y= 4/5x

Step-by-step explanation:

A proportional relationship has an equation of the form y = mx. It passes through the origin.

y= 4/5x is the only equation which is in this form.

6 0

3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

Consider the equation 21 = m + 14 1/6. Which step will help to solve this equation? A add 14 1/6 on both sides of the equation.

Furkat [3]

Answer:

B. subtract

Step-by-step explanation:

Subtracting is the opposite of adding which is what is originally in the equation, by subtracting you are canceling out the 14 1/6

7 0

3 years ago