If g(x) = x + x(tothepowerof2)?, find g(-3).<br> g(-3) =

What is the value of b in the equation below? 9^-8 x 9^-2 = a^b

vfiekz [6]

Answer:

b= -10

Step-by-step explanation:

9^ -8 * 9^ -2

We know that a^b * a^c = a^ (b+c)

9^ (-8+-2)

9^ -10

We want it in the form a^b

a=9

b= -10

7 0

4 years ago

Marco needs to buy cat food. At the nearest store, 3 bags of cat food cost $15.75. How much would Marco spend on 5 bags of cat f

Ber [7]

Answer:

$29 dollars and 60 cents

Step-by-step explanation:

15.75 divided by 3 is 5.92 if rounded.

then 5.92x 5= 29.60

5 0

3 years ago

Read 2 more answers

Find the area of each polygon

stepladder [879]

I don't understand please be specific

7 0

3 years ago

Square measures 8 m on each side if each side is written by 1/4 of eight originally the premiere of the new square will be blank

Digiron [165]

Step-by-step explanation:

so, if I understand this correctly, the original square had a side length of 8 m.

now we transform this square into one with side length 1/4×8 = 8/4 = 2 m.

and the questions are what are the perimeter and the area of that new (smaller) square ?

the perimeter of a square is

4× side length = 4×2 = 8 m

the area of a square is

side length ² = 2² = 4 m²

3 0

2 years ago

A random sample of 144 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac

Reptile [31]

Answer:

Null hypothesis: $p=0.4$

Alternative hypothesis: $p \neq 0.4$

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

Step-by-step explanation:

Information given

n=144 represent the random sample taken

X=81 represent the number of people with type A blood

$\hat p=\frac{81}{144}=0.5625$ estimated proportion of people with type A blood

$p_o=0.4$ is the value that we want to verify

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.: Null hypothesis:[tex]p=0.4$

Alternative hypothesis: $p \neq 0.4$

the statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

3 0

3 years ago

If g(x) = x + x(tothepowerof2)?, find g(-3). g(-3) =