All categories

2 years ago

Four more than three times a number is thirteen. What is this number?

Mathematics

2 answers:

AnnyKZ [126]2 years ago

7 0

Answer:

n=3

Step-by-step explanation:

Four more than three times a number is thirteen

3n + 4 = 13 subtract 4 on both sides

3n + 4 - 4 = 13 - 4 Simplify

3n = 9 divide both sides by 3

3n/3 = 9/3 Simplify

n=3 Answer

I hope this helps

Ostrovityanka [42]2 years ago

4 0

Answer:

Step-by-step explanation:

13-4=9

9/3=3

You might be interested in

Find the product: two thirds multiplied by three fourths. Use the fraction model to help you.

Mandarinka [93]

Answer:

siz tenths its six tenths your welcome

Step-by-step explanation:

5 0

2 years ago

I have no clue how to start this problem,plz help

Maksim231197 [3]

9514 1404 393

Answer:

109°

Step-by-step explanation:

You always start a problem by taking a careful look at the information given and how it relates to what is asked. Here, the key information is in the symbols marking the lines PQ and RS. They are parallel.

This means segments QR and PS are transversals. Marked angle 41° will be an "alternate interior angle" with angle TPQ, so angle TPQ is also 41°.

The desired angle, PTR, is an exterior angle to ΔQTP, so its measure is the sum of remote interior angles TQP (68°) and TPQ (41°). That is, ...

∠PTR = ∠TQP +∠TPQ = 68° +41°

∠PTR = 109°

6 0

2 years ago

Juanita has a bag of marbles. Without looking, she removes one marble, notes the color and replaces it. She repeats this process

Svetllana [295]

Given table:

color ----- Frequency

Red ------ 14

Green ----- 19

Blue -------- 21

Yellow ----- 16

Number of process repeated (trials) = 70 times

Probability (event) = number of times the event occurs / total number of trials

From the table we can see that the number of times she pick the blue marble is 21

Probability of picking a blue marble on next try = $\frac{21}{70}$ = $\frac{3}{10}$

6 0

3 years ago

For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test

Basile [38]

Answer:

a) $p_v =P(Z>2.05)=1-P(z$

b) $p_v =P(Z>-1.84)=1-P(z$

c) $p_v =P(Z>0.4)=1-P(z$

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: $\mu=10$

Alternative hypothesis: $\mu >10$

If the random variable is distributed like this: $X \sim N(\mu,\sigma)$

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

$z_o=\frac{\bar X -\mu}{\sigma}$

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

$p_v =P(Z>2.05)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

$p_v =P(Z>-1.84)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

$p_v =P(Z>0.4)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say $\alpha=0.05$ . For part a the $p_v$ so then we can reject the null hypothesis at this significance level.