All categories

2 years ago

For reviewing purposes.

Mathematics

1 answer:

Crazy boy [7]2 years ago

6 0

Answer:

Step-by-step explanation:

9 × 8 + $2^{4}$

=> PEMDAS

so first exponent 2^{4} = 16

next multiplication

9*8 = 72

=> 72 + 16

=> 88

You might be interested in

Use the formula S equals 2 left-parenthesis l w right-parenthesis plus 2 left-parenthesis l h right-parenthesis plus 2 left-pare

frosja888 [35]

Answer: 52 square cm

Step-by-step explanation:

The given surface area formula of a rectangular prism,

S = 2 wl + 2 lh + 2 hw

Where is the length, w is the width and h is the height of the prism,

Here, length, l = 2 cm,

Width, w = 3 cm

And, Height, h = 4 cm

Thus,The required surface area of the prism,

S = 2 × 3 × 2 + 2 × 2 × 4 + 2 × 4 × 3

S = 12 + 16 + 24 = 52 square cm.

6 0

2 years ago

I NEED HELP PLEASE, THANKS!!!

denpristay [2]

Answer:

C. 105 $mm^2$

Step-by-step explanation:

The formula for a regular polygon is:

$\frac{1}{2}pa$ → p is the perimeter and a is the apothem

$\frac{1}{2} (42)(5)$

105

3 0

3 years ago

There are 1,920 fences posts used in a 12- kilometer stretch of fences How many fences posts are used in 1 kilometer of fence

Nastasia [14]

1920÷12= 160

Step-by-step explanation:

1920÷12= 160

4 0

2 years ago

A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa

diamong [38]

Answer:

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}= \mu_D$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C,D$

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have $p=4$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0

3 years ago

In the parallelogram shown in the picture solve for Z

deff fn [24]

In a parallelogram, opposite angles are congruent.

Since angles z and 124° are opposite angles in the parallelogram, they are congruent angles.

Therefore we have:

$z=124°$

5 0

6 months ago