Solve the equation 4 (x-3) + 5=1

this coordinate plane shows the floor plan of a gym in Sunnyvale High School what is the location at -2.5,3.0

muminat

Answer:

The answer is D. water fountain.

Step-by-step explanation:

If you look at the graph for the point (-2.5, 3.0), you need to find -2.5 on the x-axis and 3 on the y-axis. The "Water Fountain" point is past negative two but not quite at 3 yet; it's in between. Then you go up three times. Even though the graph is going by 2's, the point is located exactly in between 2 and 4, which is 3. Hope this helps!

6 0

3 years ago

Write an equation that represents the relationship between

kykrilka [37]

Complete Question:

Write an equation that represents the relationship between <FCB and <GBC

Answer:

m<FCB = m<GBC

Step-by-step explanation:

Given that GE is parallel to HF, and AD crosses both, thus:

<FCB and <GBC are alternate interior angles.

Alternate interior angles are congruent.

Therefore, the equation that represents the relationship between <FCB and <GBC would be:

m<FCB = m<GBC

4 0

3 years ago

A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.

Serggg [28]

Answer:

8/13

Step-by-step explanation:

In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).

P(A∪B)=P(A)+P(B)-P(A∩B)

There are 26 black cards in a standard deck so,

P(A)=26/52.

There are 12 face cards in a standard deck so,

P(B)=12/52.

There are 6 cards that are black face cards.

P(A∩B)=6/52.

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=26/52+12/52-6/52

P(A∪B)=38/52-6/52

P(A∪B)=32/52

P(A∪B)=8/13

Thus, probability of drawing a black card or a face card is 8/13.

3 0

3 years ago

What is the approximate length of the missing side of a

ANEK [815]

Answer:

The approximate length of the missing side is of 5.57 cm.

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle with sides a and b and hypotenuse c, the Pythagorean theorem states that:

$a^2 + b^2 = c^2$

In this question:

$a = 15, c = 16$

We want to find b. Then

$a^2 + b^2 = c^2$

$15^2 + b^2 = 16^2$

$b^2 = 256 - 225$

$b^2 = 31$

$b = \sqrt{31}$

$b = 5.57$

The approximate length of the missing side is of 5.57 cm.

8 0

3 years ago

a manufacturer of cookies and crackers does a small survery of the age at sale of one of its brands. A tandom sample of 225 reta

Effectus [21]

Answer:

$t=\frac{56.7-60}{\frac{30}{\sqrt{225}}}=-1.65$

$df=n-1=225-1=224$

The p value would be:

$p_v =P(t_{(224)}$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we cna conclude that the true mean is less than 60 at 10% of significance.

Step-by-step explanation:

Information given

$\bar X=56.7$ represent the sample mean of interest

$s=20$ represent the sample standard deviation

$n=225$ sample size

$\mu_o =60$ represent the value to check

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

System of hypothesis

we want to check if the true mean is lower than 60, so thn the system of hypothesis are:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replcing into the formula we got:

$t=\frac{56.7-60}{\frac{30}{\sqrt{225}}}=-1.65$

P value

The degrees of freedom are given by:

$df=n-1=225-1=224$

The p value would be:

$p_v =P(t_{(224)}$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is less than 60 at 10% of significance.

7 0

3 years ago