Marcus painted 1/3 of his bedroom in 4/5 of an hour. at this rate how long will it take him to paint his entire room

Angela has half of her birthday cake left over from her party. She wants to share the leftover cake equally between her and her

hjlf

25% each or .25 her plus three friends =4 /4 =1 /

7 0

2 years ago

Big babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighe

Vedmedyk [2.9K]

Answer:

Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

P-value=P(t>2.84)=0.0024

Step-by-step explanation:

Hypothesis test on the population mean.

The claim is that the mean weight of one-year-old boys is greater than 25 pounds.

Then, the null and alternative hypothesis are:

$H_0: \mu=25\\\\H_a:\mu>25$

The significance level is α=0.05.

The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.

The degrees of freedom are:

$df=n-1=354-1=353$

The t-statistic is:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{25.8-25}{5.3/\sqrt{354}}=\dfrac{0.8}{0.2817}=2.84$

For a right tailed test and 353 degrees of freedom, the P-value is:

$P-value=P(t>2.84)=0.0024$

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.

There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

7 0

2 years ago

For a Valentine's Day dance, tickets for couples cost $12 and tickets for individuals cost $8. Suppose 250 students attended the

lakkis [162]

Answer: 105 couple tickets and 40 individual tickets

For this I will use the "Graphing Method"

First, we need to set up two equations.

-> Let x be the number of couple tickets.

-> Let y be the number of individual tickets.

-> It is "2x" because a couple means two.

$12x + $8y = $1,580

2x + y = 250

Next, we will graph this.

-> The point at which the two lines intersect is our solution.

-> See attached.

-> x = 105, so 105 couple tickets

-> y = 40, so 40 individual tickets

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

6 0

2 years ago

Read 2 more answers

The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin

tatiyna

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950 $e^{0.45t}$

a) rate of growth is

Bacteria growth model N(t) = no $e^{rt}$

Where r is the growth rate

hence r = 0.45

= 45%

b) Initial population of culture at t = 0

n(0) = 950 $e^{0.45(0)}$

= 950 $e^{0}$

= 950 bacteria

c) number of bacterial culture contain at t = 5

n(5) = 950 $e^{0.45(5)}$

= 950 $e^{2.25}$

= 9013.35

= 9013 bacteria

6 0

3 years ago

Which of the following is rational 9/12 or -64

natali 33 [55]

9/12 bc it is a fraction

3 0

2 years ago