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2 years ago

Solve the inequality. Draw a number line representing the solution. 2x – 3 < 9

Mathematics

2 answers:

ValentinkaMS [17]2 years ago

6 0

Step-by-step explanation:

2x-3<9

2x<9+3

2x<12

2x/2<12/2

x<6

iVinArrow [24]2 years ago

5 0

Answer:

x<6

Step-by-step explanation:

2x-3<9

Add three to both sides

2x(-3+3)<9+3

2x<12

Divide two by both sides

(2/2)x<12/2

x<6

Number Line:

dot will be open on 6, arrow will point left to indicate that x is less than 6 but you don't know the value of x.

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.

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A dance studio charges all new members a $149 application fee, plus $25 per month. The function f(m) = 25m + 149 models the tota

Dmitrij [34]

Answer:$724

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3 years ago

Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the

Julli [10]

Answer:

a) $z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

b) $p_v =2*P(z$

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

$\bar X_{1}= 104$ represent the mean for 1

$\bar X_{2}= 106$ represent the mean for 2

$\sigma_{1}= 8.4$ represent the population standard deviation for 1

$\sigma_{2}= 7.6$ represent the population standard deviation for 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0: $\mu_{1}=\mu_{2}$

H1: $\mu_{1} \neq \mu_{2}$

The statistic would be given by:

$z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}=$ (1)

Part a

Replacing we got:

$z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

Part b

The p value would be given by this probability:

$p_v =2*P(z$

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

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3 years ago

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What is the length of the blue segment in O below?

Kay [80]

Answer:

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Step-by-step explanation:

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(easy) If ΔEFG ~ ΔLMN with a ratio of 3:1, which of the following is true?

alexandr402 [8]

Answer:

segment EG over segment LN equals segment FG over segment MN

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

The corresponding sides are

EF and LM

EG and LN

FG and MN

The corresponding angles are

∠E≅∠L

∠F≅∠M

∠G≅∠N

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