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yuradex [85]
3 years ago
6

A square piece of paper 150 millimeters on a side is folded in half along a diagonal. What is the exact length of the diagonal?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

Look below.

Step-by-step explanation:

a^{2}+b^{2}  =c^{2} \\150^{2}+150^{2}= c^{2}\\22500+22500=c^{2} \\\sqrt{45000}   = c\\

Use a calculator.

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What is <br><br><br> x+2/4 = 5/3
tamaranim1 [39]

Answer:

x=7/6

Step-by-step explanation:

x+2/4=5/3

  -2/4  -2/4

x=5/3-2/4=7/6

3 0
3 years ago
Read 2 more answers
According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating
Natali [406]

Answer:

a) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

b) Test statistic t=-1.565

P-value = 0.0612

NOTE: the sample size is n=65.

c) Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

d) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

Test statistic t=-1.565

Critical value tc=-1.669

t>tc --> Do not reject H0

Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Then, the null and alternative hypothesis are:

H_0: \mu=32.48\\\\H_a:\mu< 32.48

The significance level is 0.05.

The sample has a size n=65.

The sample mean is M=30.15.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{65}}=1.4884

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{30.15-32.48}{1.4884}=\dfrac{-2.33}{1.4884}=-1.565

The degrees of freedom for this sample size are:

df=n-1=65-1=64

This test is a left-tailed test, with 64 degrees of freedom and t=-1.565, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.0612) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

<u>Critical value approach</u>

<u></u>

At a significance level of 0.05, for a left-tailed test, with 64 degrees of freedom, the critical value is t=-1.669.

As the test statistic is greater than the critical value, it falls in the acceptance region.

The null hypothesis failed to be rejected.

6 0
2 years ago
The population of Town A increases by 5% every year. Its current population is 700,000. Town B, which currently has 550,000 resi
gladu [14]

Answer:

1,260

Step-by-step explanation:


5 0
2 years ago
What value of x would make lines land m parallel? ​
solniwko [45]

Answer:

x = 75

Step-by-step explanation:

Given

See attachment

Required

The value of x that makes l and m parallel

Let the angles be ABC (See attachment 2)

\angle CAB is corresponding to 50 degrees. So:

\angle CAB=50

\angle ABC is corresponding to 55 degrees. So:

\angle ABC = 55

This means that:

\angle ABC + \angle CAB + x = 180

50 +55 + x = 180

Solve for x

x = 180 - 50 - 55

x = 75

4 0
2 years ago
What percent of $900 equals 810?? Show what you did!!
KIM [24]

Answer:

x% of $900=$810

x/100×$900=$810

x=$810/9=90% required percentage is 90%.

6 0
2 years ago
Read 2 more answers
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