A right triangle has sides 10 and 24. Use the Pythagorean Theorem to find the length of the hypotenuse.

HDTV screens usually have a width-to -height ratio of 16:9. Which screen dimensions are in the same proportion?

love history [14]

Answer:

4 feet by 3 feet

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

width-to -height ratio of 16:9

Let analyse all possible answers:

4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

We choose A.

Hope it will find you well.

7 0

3 years ago

Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab

Leviafan [203]

Answer:

$z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936$

The p value can be founded with this formula:

$p_v =P(z$

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

$\bar X_{1}=7.6$ represent the mean for Gibbs products

$\bar X_{2}=8.1$ represent the mean for the competitor

$\sigma_{1}=2.3$ represent the population standard deviation for Gibbs

$\sigma_{2}=2.9$ represent the sample standard deviation for the competitor

$n_{1}=40$ sample size for the group Gibbs

$n_{2}=55$ sample size for the group competitor

$\alpha=0.05$ Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}< 0$

The statistic would be given by:

$z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

Replacing the info given we got:

$z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936$

The p value can be founded with this formula:

$p_v =P(z$

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

5 0

3 years ago

Write the equation in standard form for the circle with center (0, 9) passing through (0, 27/2)

sammy [17]

Given

coordinates of center= (0,9)

Circle passes through (0, 27/2)

Find

Equation of circle

Explanation

The equation of circle in standard form is

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-0)^2+(y-9)^2=r^2 \end{gathered}$

We know the circle passes through (0,27/2), then

$\begin{gathered} (0-0)^2+(\frac{27}{2}-9)^2=r^2 \\ r=4.5 \end{gathered}$

So the equation in the standard form is

$(x-0)^2+(y-9)^2=4.5^2$

Final Answer

$(x-0)^2+(y-9)^2=4.5^2$

8 0

1 year ago

Help out.........................................................................

solniwko [45]

3.4 = -13.6 - 3.4c + 1.7c
3.4 = -13.6 - 1.7c
1.7c = -13.6 - 3.4
1.7c = 17
c = 10

8 0

3 years ago

Read 2 more answers

a plane took 3 hours and 33 minutes to finish a journey. if the distance of the journey was 2840 miles, at what average speed di

likoan [24]

Answer:

The average speed of the plain was 800 miles/h.

Step-by-step explanation:

To solve this problem we first need to convert the time the tain took to finish the journey to hours. To do that we will divide the part that is in minutes by 60 and sum to the part that is in hours, we have:

time = 3 + 33/60 = 3 + 0.55 = 3.55 hours

The average speed is given by the following formula:

average speed = distance/time

average speed = 2840/3.55 = 800 miles/h

The average speed of the plain was 800 miles/h.

4 0

3 years ago