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3 years ago

Can someone help me with this

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

$FH=FG+GH$

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

$4x=(2x+10)+x$

Solve for x. On the right, combine like terms:

$4x=3x+10$

Subtract 3x from both sides:

$x=10$

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

$FG=2x+10\\FG=2(10)+10$

Multiply:

$FG=20+10$

Add:

$FG=30$

And we're done!

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60 is 150% of what in math

Usimov [2.4K]

Answer:

40% is the answer to your question.

3 0

3 years ago

Please help! I'll also give you a brainlist.

nekit [7.7K]

Range: (-infinity, 4]
the ] signifies that the four is included in the range, rather than ) which means reaching but never approaching. this is why we use ( ) for - and + infinity, cause it can never be reached.

minimum: (-infinity, infinity)
keep it in same format as you have for the maximum

increasing
the interval -infinity

6 0

3 years ago

if the letters of the word 'MOTHER'are written in all possible order and these words are written out as in dictionary ,find the

Marta_Voda [28]

There are 6 letters, each different
Before MOTHER, words from E , H will come
Words from E = 5! (there are 5 letters to arrange)
Words from H = 5!( there are 5 letters to arrange)

Now words starting by M will come.
First ME will have = 4! (as 4 letters will be arranged)
Then MH = 4!
Now words with MO<span>
</span><span>First words starting with MOE... =3!
And words starting with MOH... =3!
the words starting with MOR... =3!

Now, words starting from MOT will come
words starting with MOTE.. = 2!
then after words starting from MOTH will come and first word will MOTHER

so, total no. of words before MOTHER = 5! + 5! + 2* 4! + 3 * 3!
= 120 +120 + 48 + 18
= 306
so, rank of MOTHER = 307</span>

7 0

4 years ago

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

AveGali [126]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 15 \ months$

The sample size is n = 25

The sample mean is $\= x = 17 \ months$

The standard deviation is $s = 5.5 \ months$

Let assume the level of significance of this test is $\alpha = 0.05$

The null hypothesis is $H_o : \mu = 15$

The alternative hypothesis is $H_a : \mu > 17$

Generally the degree of freedom is mathematically represented as

$df = n -1$

=> $df = 25 -1$

=> $df = 24$

Generally the test statistics is mathematically represented as

$t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }$

=> $t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }$

=> $t = 1.8182$

Generally from the student t distribution table the probability of obtaining $t = 1.8182$ to the right of the curve at a degree of freedom of $df = 24$ is

$p-value = P(t > 0.18182 ) = 0.4286$