<img src="https://tex.z-dn.net/?f=6%20%3C%20%20-%205t%20-%204" id="TexFormula1" title="6 < - 5t - 4" alt="6 < - 5t

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3241004551 [841]

3 years ago

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Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

Answer:

Step-by-step explanation: We would solve this exactly like we would a variable equation. If it makes it easier imagine there is equal sign instead of a inequality sign.

First we add 4 to both sides.

6<-5t-4

10<-5t

Then we divide both sides by -5.

10<-5t

10/-5<-5t/-5

The two -5s cancel out only leaving the 10 to be divided by the -5......

but a law in math tells us if we divide in math by a negative or multiply by one then we must reverse the inequality sign.

.....which leaves us with the answer.

-2>t

Hope this helps!

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There are many ways to measure the reading ability of children. Research designed to improve reading performance is dependent on

ELEN [110]

Answer:

A 90% confidence interval to estimate the mean DRP score in Henrico County Schools is =32±2.7280

i.e. C.I. [29.3,34.7]

Hence the results are not significant.

Step-by-step explanation:

Given:

Total no of students =44

True mean =32

Standard deviation=11

And all 4 students score also given.

To Find:

90 % confidence interval and conclusion on it.

Solution:

Here for C.I. we required mean, standard deviation and no of students.

So mean =32,S.D.=11 and n=44

Therefore , For 90 % interval Zscore is Z=1.645

C.I.=mean±Z[Standard deviation/Sqrt(n)]

=32±1.645[11/Sqrt(44)]

=32±1.645[1.6583]

=32±2.7280

i.e. C.I. [29.3,34.7]

Now Here to commit on calculated interval we should check value of Z-score

So we need to calculate the sample mean.

Sample mean =Sum of all values /Total no of values.

=[40+ 26 +39+ 14+ 42+ 18 +25+ 43+ 46 +27 +19+ 47+ 19 +26+ 35 +34+ 15+ 44 40+ 38+ 31+ 46 +52 +25+ 35 +35+ 33 +29 +34 +41 +49+ 28+ 42+ 47 +35 +48 +22 33+ 41 +51 +27 +14+ 54 +45]/44

=34.86

Z-score=(sample mean -true mean)/[standard deviation/Sqrt(n)]

=(34.86-32)/[11/Sqrt(44)]

Z=1.72465

For ,

P(Z≥1.72465)=0.08544

For 0.05 significance level the results are not significant at p<0.01.

Researcher claimed mean is not correct upto 0.05 significant level

i.e calculated mean and Sample mean are different.

Hence the results are not significant.

6 0

2 years ago

19 pint is equal to how many pints

Ludmilka [50]

Not sure what your asking here

5 0

2 years ago

Write .33 as a simple form

anyanavicka [17]

.33 in its simplest form is 1/3 I think

3 0

3 years ago

The dimensions of a closed rectangular box are measured as 90 centimeters, 50centimeters, and 90 centimeters, respectively, with

gogolik [260]

Answer:

184 cm²

Step-by-step explanation:

Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)

L is the length of the box = 90 cm

W is the width of the box = 50 cm

H is the height of the box= 90 cm

If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;

S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)

Note that dL = dW = dH = 0.2 cm

Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box

S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))

S = 2{18+10+18+18+10+18}

S = 2(92)

S = 184 cm²

Hence, the maximum error in calculating the surface area of the box is 184cm²

5 0

3 years ago

Se the distributive property to remove the parentheses. -(-3v-4w+1)

KIM [24]

Hii!

$\leadsto\parallel\boldsymbol{Answer.}\parallel\gets$

_________________________________________________________

3v+4w-1

__________________________________________________________

$\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets$

We use the distributive property to "distribute" the minus sign.

$\sf -(-3v-4w+1)=-1\cdot(-3v)+(-1)\cdot(-4w)+(-1)\cdot1}$ .

Simplify!

$\sf 3v+4w-1}$ . Which is our final answer.

Hope that this helped! Best wishes.

$\textsl{Reach far. Aim high. Dream big.}$

$\boldsymbol{-Greetings!-}$

_________________________________________________________

4 0

2 years ago