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3 years ago

Twenty-seven is smaller than five times a number increased by seven

Mathematics

1 answer:

JulsSmile [24]3 years ago

8 0

Answer:

27 < 5*n +7

n<4

Step-by-step explanation:

Twenty-seven is smaller than five times a number increased by seven

Increase means add

27 < 5*n +7

Subtract 7 from each side

27-7 <5n+7-7

20 < 5n

Divide by 5

20/5 < 5n/5

4 <n

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This graph has rotational symmetry about the points

mart [117]

Answer: Answer for figure one is origin (0,0)

Answer for figure two is (2,4) /

Step-by-step explanation:

a) Here we can see that given graph is the equation of cubic function which is

f(-x) = -f(x) that is given function is odd then rotational symmetry point is origin always ,therefore point of rotational symmetry is origin (0,0)

b) The rotational symmetry of an ellipse is 180 degrees about the center of the ellipse .

And here the center of given ellipse is (2,4) ,therefore its rotational symmetry is about (2,4) That is if we rotate the given ellipse 180 degrees about (2,4) it will be at its original position.

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3 years ago

In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height

tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

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

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505$

The degrees of freedom for this sample size are:

$df=n-1=39-1=38$

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>6.505)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.

5 0

3 years ago

Fraction that less than 5/6 and has a denominator of 8

AnnyKZ [126]

A fraction that is less than 5/6 and has a denominator of 8 would be 4/8 because if you compare 4/8 and 5/6 4/8 is less than 5/6. (to compare this two fractions you need to make them have the same denominator so they would end up been 4/8=12/24
5/6=20/24
And 12/24 is smaller than 20/24
(Besides 4/8 is half and 5/6 is more than half

3 0

3 years ago

After running for 3 1/2 km, Sacha only completed half the total distance of a marathon . What is the complete distance of that m

Gre4nikov [31]

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Answer: 7 km

Explanation:

3.5 x 2 = 7

I hope this helped!

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- Zack Slocum

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3 0

3 years ago

Read 2 more answers

9, 10, 12, x, 20, 25 the median is 14 whats x

Lady_Fox [76]

X equals 16
12+16=28
28 divided by 2 = 14

8 0

3 years ago