Round to the nearest tenth Thank youuu

Rewrite as a product of two factors: 3 + 18d + 21y

Vlada [557]

Answer:

the Expression is :

(3) × (1 + 6d + 7y)

Step-by-step explanation:

here's the solution : -

=》

$3 + 18d + 21y$

=》

$(3 \times 1 )+ (3 \times 6d) + (3 \times 7y)$

now, since 3 is common in all terms let's take it out.

=》

$3 \times (1 + 6d + 7y)$

=》so, ,we got the above expression as product of 3 and ( 1 + 6d + 7y ) as factors.

3 0

3 years ago

Read 2 more answers

What is the simplified expression for the expression below? 4(x + 8) + 5(x – 3)Which expression is equivalent to 6(x – 4)

Mashutka [201]

Answer:4x+32+5x-15

Step-by-step explanation: that’s the simplified equation, you would just have to distribute the 4 to its own equation and the 5 into its own equation.. but i think the second part of ur question is missing..

8 0

2 years ago

National data indicates that 35% of households own a desktop computer. In a random sample of 570 households, 40% owned a deskt

Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a desktop.

Step-by-step explanation:

We are given that National data indicates that 35% of households own a desktop computer.

In a random sample of 570 households, 40% owned a desktop computer.

Let p = population proportion of households who own a desktop computer

SO, Null Hypothesis, $H_0$ : p = 25% {means that 35% of households own a desktop computer}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 570 households who owned a desktop computer = 40%

n = sample of households = 570

So, test statistics = $\frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }$

= 2.437

Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0

3 years ago

Given a triangle with: a = 150, A = 75°, and C = 30° Using the law of sines gives: c = 0

koban [17]

Answer:

$c = 77.6$

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

$\dfrac{\sin A}{a} = \dfrac{\sin C}{c}$

$\dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c}$

$c\sin 75^\circ = 150 \sin 30^\circ$

$c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ}$

$c = 77.6$

You are correct. Good job!

5 0

3 years ago

Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her tota

SVETLANKA909090 [29]

Based on the calculations, the amount of money she invested is equal to $3,520.

<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

Let x be the amount of money she invested at 11%.

Let y be the amount of money she invested at 14%.

Since Lydia invested the same amount of money in both stocks, we have:

x = y ....equation 1.

At the two interest rates, the total amount Lydia gets is given by:

0.11x + 0.14y = 440 ....equation 2.

Solving the equations simultaneously, we have:

0.11y + 0.14y = 440

0.25y = 440

y = 440/0.25

y = $1,760.

Thus, the total investment is given by:

Total investment = 1760 + 1760

Total investment = $3,520.

Read more on interest rates here: brainly.com/question/16793428

#SPJ1

8 0

1 year ago